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Analysis
1 Mathematical Analysis - Elias Zakon
Auteur : Elias Zakon
Genre : Mathématiques
Mathematical Analysis I was re-licensed as CC-BY through the Open Textbook Challenge by Saylor.org, a free and open collection of more than 240 college level courses. Look for more of our materials at the Saylor.org iTunes U page http://itunes.apple.com/us/institution/the-saylor-foundation/id514135210.

Mathematical Analysis I was written by Dr. Elias Zakon of the University ofWindsor and submitted to the Open Textbook Challenge by Dr. Bradley Lucier of Purdue University. According to the preface, "One of [the] main objectives is updating the undergraduate analysis as a postcalculus course... [without losing] contacts with classical texts still widely in use."

2 The Quran and the Mathematical Groups - Ijaz Chaudry
Auteur : Ijaz Chaudry
Genre : Religion et spiritualité
You are witnessing the most amazing phenomenon of the 21st Century. A book over 1400 years old lives by the rules of modern math's The Group Theory. This is indeed an ultimate proof of existence of God. Since God the knower of all things did know how The Group Theory will work in 21st Century, thus revealing the book (Quran) with inbuilt pattern which will encompass the Group Theory.

The Cyclic Group Theory means to explain the hidden truths in the Quran, which would otherwise remain hidden. Thus for a sincere believer this knowledge is a great gift.

The Data we have here is the 19 based Codes, the Descriptions and the verses from the Quran, and the structure for that Data is the Group Theory which manages to reveal knowledge from the Quran.

Once you have grasped the fundamentals of Group Theory, with knowledge of the Quran and sincerity a believer c

Introduction
Physics
3 An Introduction to Mathematical Physics - Shintaro Sawayama
Auteur : Shintaro Sawayama
Genre : Physique
I wrote this book for Japanese high school student for the reason of understanding mathematical background. However, this book may become one introduction to mathematical physics for other countries. So I translate this book. This book starts from set theory in section 1, because set theory is the fundamental part of mathematics. Then I explain differentiation of elementary function in section 2. Then I show Taylor expansion in section 3. The Taylor expansion is used as approximation. In section 4, I explain inverse trigonometric function simply. The inverse of the trigonometric function is used in the dynamics of springs and to understand energy conservation low. Then I explain outer product simply (in Japan we teach moment as a scorer for high school student.  ) . In section 6, I explain elementary ordinary differential equation e.g. the dynamics under the homogeneous gravity and

Numbers
4 A Mind For Numbers - Barbara Oakley, PhD
Auteur : Barbara Oakley, PhD
Genre : Développement personnel
The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn"

Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire
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Principia
Principles
Natural
Philosophy
6 Principia: The Mathematical Principles of Natural Philosophy - Isaac Newton & Prometheus Classics
Auteur : Isaac Newton & Prometheus Classics
Genre : Physique
The Principia is "justly regarded as one of the most important works in the history of science".

The Mathematical Principles of Natural Philosophy, often referred to as simply the Principia, is a work in three books by Sir Isaac Newton, in Latin, first published 5 July 1687. After annotating and correcting his personal copy of the first edition, Newton also published two further editions, in 1713 and 1726. The Principia states Newton's laws of motion, forming the foundation of classical mechanics, also Newton's law of universal gravitation, and a derivation of Kepler's laws of planetary motion (which Kepler first obtained empirically).

The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of mathematical Principles of natural Philosophy marked the epoch of a great revolution in physics. The method followed b

Secrets
7 Secrets of Mental Math - Arthur Benjamin & Michael Shermer
Auteur : Arthur Benjamin & Michael Shermer
Genre : Mathématiques
These simple math secrets and tricks will forever change how you look at the world of numbers.

Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.

Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots wi

8 Life 3.0 - Max Tegmark
Auteur : Max Tegmark
Genre : Informatique et Internet
'This is the most important conversation of our time, and Tegmark's thought-provoking book will help you join it' Stephen Hawking

THE INTERNATIONAL BESTSELLER. DAILY TELEGRAPH AND THE TIMES BOOKS OF THE YEAR
SELECTED AS ONE OF BARACK OBAMA'S FAVOURITE BOOKS OF 2018

AI is the future - but what will that future look like? Will superhuman intelligence be our slave, or become our god?

Taking us to the heart of the latest thinking about AI, Max Tegmark, the MIT professor whose work has helped mainstream research on how to keep AI beneficial, separates myths from reality, utopias from dystopias, to explore the next phase of our existence.

How can we grow our prosperity through automation, without leaving people lacking income or purpose? How can we ensure that future AI system

Teaching
Learning
Modelling
9 Teaching and Learning Mathematical Modelling - Gilbert Greefrath & Katrin Vorhölter
Auteur : Gilbert Greefrath & Katrin Vorhölter
Genre : Éducation
This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various Germa

10 The Joy of x - Steven Strogatz
Auteur : Steven Strogatz
Genre : Mathématiques
“Delightful . . . easily digestible chapters include plenty of helpful examples and illustrations. You'll never forget the Pythagorean theorem again!”Scientific American

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations.

Whether he is illuminating how often you should flip your mattress to get the maximum lifespan from it, explaining just how Google searches the internet, or determining how many people you should date before settling down, Strogatz shows how math connects to every aspect of life. Discussing pop culture, medicine, law, philosophy, art, and

Spiritual
Equations
Fortune
Abundance
Unlimited
Sources
Millionaires
11 The Spiritual Laws of Money: God’s Top Secret Codes and Mathematical Equations for Wealth, Fortune, Abundance and Unlimited Sources of Profit that Millionaires Hide from You - Daniel Marques
Auteur : Daniel Marques
Genre : Développement personnel
There are specific laws that millionaires in the World, from the United States to China, including Europe and other continents, follow in order to obtain their fortune. Every day, even as the economy shows instability and downturns, many new millionaires are born. And they have things in common, no matter how old or young they may seem. They share the same knowledge about how to make money, and their habits match money making laws. Bill Gates, Steve Jobs, Sir Richard Branson, and many others, have secrets they’ve learned through hard work, accumulated failures and life experience.

We may admire the personality of successful individuals and what they do, not knowing that, behind them, there’re spiritual laws that cross time and have been with us for millions of years. Gaining profit, in any activity, has always followed the same codifications, God’s codes. They are relate

12 Maths Doesn't Suck - Danica McKellar
Auteur : Danica McKellar
Genre : Éducation
Do you dread maths homework? Panic at the thought of a test? Does maths bore you to tears? Don't worry - help is here!

Actress and mathematician Danica McKellar's bestselling guide proves that maths can be easy, relevant and even cool, and gives you all the tools you need to ace your next test. With Danica as your personal tutor, even the most maths-phobic student will finally 'get' fractions, equations, decimals, rates, ratios, proportions, equations and more.

Handbook
Geosciences
13 Handbook of Mathematical Geosciences - B.S. Daya Sagar, Qiuming Cheng & Frits Agterberg
Auteur : B.S. Daya Sagar, Qiuming Cheng & Frits Agterberg
Genre : Géologie
This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.

Complete
Mathematics
14 Complete Mathematics - Trevor Johnson & Hugh Neill
Auteur : Trevor Johnson & Hugh Neill
Genre : Mathématiques
Are you looking for a clear, accessible guide to mathematics that can help you brush up your skills and rediscover the key concepts and techniques? Complete Mathematics provides an invaluable, step-by-step introduction to the subject. Packed full of worked examples and useful exercises, it will guide you through the essentials quickly and easily, giving you the knowledge you need to gain maths confidence.

NOT GOT MUCH TIME?

One, five and ten-minute introductions to key principles to get you started.

AUTHOR INSIGHTS

Lots of instant help with common problems and quick tips for success, based on the author's many years of experience.

TEST YOURSELF

Tests in the book and online to keep track of your progress.

EXTEND YOUR KNOWLEDGE

Extra online articles at www.teachyourself.com to give you a richer understa

Finance
Introduction
15 Mathematical Finance: A Very Short Introduction - Mark H A Davis
Auteur : Mark H A Davis
Genre : Mathématiques
Now a vital part of modern economies, the rapid growth of the finance industry in recent decades is largely due to the development of mathematical methods such as the theory of arbitrage. Asset valuation, credit trading, and fund management, now depend on these mathematical tools. Mark Davis explains the theories and their applications.

16 Mathematical Chess - Dr George Ho
Auteur : Dr George Ho
Genre : Éducation
Mathematical chess is a two-player educational and entertaining game played on ten digit pieces (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and six operator pieces (addition, subtraction, multiplication, division, power, and root). The chessboard is a grid made up of nine vertical and nine horizontal lines. It is flexible and suitable for all students from middle and high schools to universities. The excessive use of electronic calculators and games has caused a negative impact on the alertness of the minds and the numerical abilities of students at all levels. Dr Ryan said, In numeracy, the young teenage student in 2003 was approximately a quarter of a grade level behind his or her counterpart in 1964. This was reported in the article Grade Worse Than in 1960s (SMH, 11 February 2008). Students love challenges and competitions. Dr Robert C. Ferguson writes, A learning environment organised around

Statistics
Exercises
Solutions
17 Mathematical Statistics: Exercises and Solutions - Jun Shao
Auteur : Jun Shao
Genre : Mathématiques
This book consists of four hundred exercises in mathematical statistics and their solutions, over 95% of which are in the author's Mathematical Statistics, Second Edition (Springer, 2003). For students preparing for work on a Ph.D. degree in statistics and instructors of mathematical statistics courses, this useful book provides solutions to train students for their research ability in mathematical statistics and presents many additional results and examples that complement any text in mathematical statistics. To develop problem-solving skills, two solutions and/or notes of brief discussions accompany a few exercises.

The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. On the other hand, the book is stand-alone because exercises and solutions are comprehensible independently of their source, and notation and termi

Outline
Handbook
Formulas
Edition
18 Schaum's Outline of Mathematical Handbook of Formulas and Tables, 4th Edition - Seymour Lipschutz, Murray R Spiegel & John Liu
Auteur : Seymour Lipschutz, Murray R Spiegel & John Liu
Genre : Outils pédagogiques
Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately, there's Schaum's.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you
More than 2,400 formulas and tables Covers elementary to advanced math topics Arranged by topics for easy reference
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!

19 Lost in Math - Sabine Hossenfelder
Auteur : Sabine Hossenfelder
Genre : Histoire
In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science.
Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades.
The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-

20 How to Solve It - G. Polya
Auteur : G. Polya
Genre : Mathématiques
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem.

Introduction
Philosophy
21 Introduction to Mathematical Philosophy - Bertrand Russell
Auteur : Bertrand Russell
Genre : Mathématiques
As a mathematician, philosopher, logician, historian, socialist, pacifist and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement in the Vietnam War. In addition to his political activism, he is considered to be one of the founders of analytic philosophy, receiving the Nobel Prize in Literature in 1950 for his various humanitarian and philosophical works. He wrote his "Introduction to Mathematical Philosophy" (1919) in order to elucidate in a less technical way the main ideas of his and N.A. Whitehead's earlier "Principia Mathematica". The work focuses on mathematical logic as related to traditional and contemporary philosophy, of which Russell remarks, "logic is the youth of

Reality
22 The Road to Reality - Roger Penrose
Auteur : Roger Penrose
Genre : Physique
The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book.

Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections.

The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of

Figures
23 Hidden Figures - Margot Lee Shetterly
Auteur : Margot Lee Shetterly
Genre : États-Unis
The #1 New York Times bestseller

The phenomenal true story of the black female mathematicians at NASA whose calculations helped fuel some of America’s greatest achievements in space. Soon to be a major motion picture starring Taraji P. Henson, Octavia Spencer, Janelle Monae, Kirsten Dunst, and Kevin Costner.

Before John Glenn orbited the earth, or Neil Armstrong walked on the moon, a group of dedicated female mathematicians known as “human computers” used pencils, slide rules and adding machines to calculate the numbers that would launch rockets, and astronauts, into space.

Among these problem-solvers were a group of exceptionally talented African American women, some of the brightest minds of their generation. Originally relegated to teaching math in the South’s segregated public schools, they were called into service during the labor shortages

24 Cycles of Time - Roger Penrose
Auteur : Roger Penrose
Genre : Physique
What came before the Big Bang?

How did the universe begin and must it inevitably end?

In this remarkable book Roger Penrose brilliantly illuminates some of the deepest mysteries of the universe.

Cycles of Time contains a penetrating analysis of the second law of thermodynamics - according to which the 'randomness' of our world is continually increasing - and a thorough examination of the light-cone geometry of space-time. It combines these two central themes to show how the expected ultimate fate of our accelerating, expanding universe can actually be reinterpreted as the 'big bang' of a new one.

Presenting various standard and non-standard cosmological models, discussing black holes in depth as well as taking in the role of the cosmic microwave background along the way, Roger Penrose argues that the Big Bang was not ac

Minuses
25 Pluses and Minuses - Stefan Buijsman
Auteur : Stefan Buijsman
Genre : Mathématiques
A guide to changing how you think about numbers and mathematics, from the prodigy changing the way the world thinks about math.

We all know math is important: we live in the age of big data, our lives are increasingly governed by algorithms, and we're constantly faced with a barrage of statistics about everything from politics to our health. But what might be less obvious is how math factors into your daily life, and what memorizing all of those formulae in school had to do with it. Math prodigy Stefan Buijsman is beginning to change that through his pioneering research into the way we learn math. Plusses and Minuses is based in the countless ways that math is engrained in our daily lives, and shows readers how math can actually be used to make problems easier to solve. Taking readers on a journey around the world to visit societies that have developed without th

Musimathics
26 Musimathics - Gareth Loy
Auteur : Gareth Loy
Genre : Musique
A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science.

“Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.

In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music compositi

Theorem
27 Birth of a Theorem - Cédric Villani
Auteur : Cédric Villani
Genre : Mathématiques
“This man could plainly do for mathematics what Brian Cox has done for physics” Sunday Times

How does a genius see the world? Where and how does inspiration strike?

Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation – a new theorem that will eventually win him the most coveted prize in mathematics and a place in the mathematical history books. Along the way he encounters obstacles and setbacks, losses of faith and even brushes with madness.

His story is one of courage and partnership, doubt and anxiety, elation and despair. Of ordinary family life blurring with the abstract world of mathematical physics, of theories and equations that haunt your dreams and seeking the elusive inspiration found only in a locked, darkened room.

Blending science with history, biography with myth,

Deception
28 Deceit and Self-Deception - Robert Trivers
Auteur : Robert Trivers
Genre : Psychologie
In this foundational book, Robert Trivers seeks to answer one of the most provocative and consequential questions to face humanity: why do we lie to ourselves?

Deception is everywhere in nature. And nowhere more so than in our own species. We humans are especially good at telling others less - or more - than the truth. Why, however, would organisms both seek out information and then act to destroy it? In short, why practice self-deception?

After decades of research, Robert Trivers has at last provided the missing theory to answer these questions. What emerges is a picture of deceit and self-deception as, at root, different sides of the same coin. We deceive ourselves the better to deceive others, and thereby reap the advantages. From space and aviation disasters to warfare, politics and religion, and the anxieties of our everyday social lives, Deceit and Self

Descartes
Notebook
29 Descartes's Secret Notebook - Amir D. Aczel
Auteur : Amir D. Aczel
Genre : Philosophie
René Descartes (1596—1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates has made our intellectual conquest of physical space possible.

But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians of all time, moved to Paris in search of this notebook–and eventually found it in the possession of Claude Clerselier, a friend of Descartes’s. Liebniz called on Clerselier and was allowed to copy only a couple of pages–which, though written in code, he amazingly d

Universe
30 You Are the Universe - Dr. Deepak Chopra & Menas Kafatos
Auteur : Dr. Deepak Chopra & Menas Kafatos
Genre : Science et nature
THE NEW YORK TIMES BESTSELLER


In this book, that combines cutting edge science with real world applications, Chopra and Kafatos redefine our nature of reality and what is possible.

Here they ask 9 questions:

What Came Before the Big Bang?
Why Does the Universe Fit Together So Perfectly?
Where Did Time Come From?
What Is the Universe Made Of?
Is There Design in the Universe?
Is the Quantum World Linked to Everyday Life?
Do We Live in a Conscious Universe?
How Did Life First Begin?
Does the brain create the mind?

You Are The Universe offers answers that open up new possibilities for all of us to lead more fruitful, peaceful and successful lives.

31 Humble Pi - Matt Parker
Auteur : Matt Parker
Genre : Mathématiques
**The First Ever Maths Book to be a No.1 Bestseller**
'Wonderful ... superb' Daily Mail

What makes a bridge wobble when it's not meant to? Billions of dollars mysteriously vanish into thin air? A building rock when its resonant frequency matches a gym class leaping to Snap's 1990 hit I've Got The Power? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world.

As Matt Parker shows us, our modern lives are built on maths: computer programmes, finance, engineering. And most of the time this maths works quietly behind the scenes, until ... it doesn't. Exploring and explaining a litany of glitches, near-misses and mishaps involving the internet, big data, elections, street signs, lotteries, the Roman empire and a hapless Olympic shooting team, Matt Parker shows us the bizarre ways maths

Equation
32 The Equation that Couldn't Be Solved - Mario Livio
Auteur : Mario Livio
Genre : Mathématiques
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory.

Fueling
Innovation
Discovery
33 Fueling Innovation and Discovery - Committee on the Mathematical Sciences in 2025, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Auteur : Committee on the Mathematical Sciences in 2025, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Genre : Mathématiques
The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research.  It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fuelin

Sciences
34 The Mathematical Sciences in 2025 - Committee on the Mathematical Sciences in 2025, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Auteur : Committee on the Mathematical Sciences in 2025, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Genre : Mathématiques
The mathematical sciences are part of nearly all aspects of everyday life--the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the val

Assessing
Reliability
Complex
35 Assessing the Reliability of Complex Models: - Committee on Mathematical Foundations of Verification, Validation, and Uncertainty Quantification, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Auteur : Committee on Mathematical Foundations of Verification, Validation, and Uncertainty Quantification, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Genre : Mathématiques
Advances in computing hardware and algorithms have dramatically improved the ability to simulate complex processes computationally. Today's simulation capabilities offer the prospect of addressing questions that in the past could be addressed only  by resource-intensive experimentation, if at all. Assessing the Reliability of Complex Models recognizes the ubiquity of uncertainty in computational estimates of reality and the necessity for its quantification. As computational science and engineering have matured, the process of quantifying or bounding uncertainties in a computational estimate of a physical quality of interest has evolved into a small set of interdependent tasks: verification, validation, and uncertainty of quantification (VVUQ). In recognition of the increasing importance of computational simulation and the increasing need to assess uncertainties in computation

Cartoon
Introduction
Calculus
36 The Cartoon Introduction to Calculus - Yoram Bauman, Ph.D.
Auteur : Yoram Bauman, Ph.D.
Genre : BD et mangas
The internationally bestselling authors of The Cartoon Introduction to Economics return to make calculus fun

The award-winning illustrator Grady Klein has teamed up once again with the world’s only stand-up economist, Yoram Bauman, Ph.D., to take on the daunting subject of calculus. A supplement to traditional textbooks, The Cartoon Introduction to Calculus focuses on the big ideas rather than all the formulas you have to memorize.

With Klein and Bauman as our guides, we scale the dual peaks of Mount Derivative and Mount Integral, and from their summits, we see how calculus relates to the rest of mathematics. Beginning with the problems of speed and area, Klein and Bauman show how the discipline is unified by a fundamental theorem. We meet geniuses like Archimedes, Liu Hui, and Bonaventura Cavalieri, who survived the slopes on intuition but pr

Principia
37 The Principia - Isaac Newton
Auteur : Isaac Newton
Genre : Mathématiques
Newton's Principia by Sir Isaac Newton is presented here in a high quality paperback edition. This publication was produced from a professional scan of an original edition of the book, which can include imperfections from the original book or through the scanning process, and has been created from an edition which we consider to be of the best possible quality available. This popular classic work by Sir Isaac Newton is in the English language. Newton's Principia is highly recommended for those who enjoy the works of Sir Isaac Newton, and for those discovering the works of Sir Isaac Newton for the first time.

Machine
38 The Demon in the Machine - Paul Davies
Auteur : Paul Davies
Genre : Biologie
'A gripping new drama in science ... if you want to understand how the concept of life is changing, read this' Professor Andrew Briggs, University of Oxford

When Darwin set out to explain the origin of species, he made no attempt to answer the deeper question: what is life?

For generations, scientists have struggled to make sense of this fundamental question. Life really does look like magic: even a humble bacterium accomplishes things so dazzling that no human engineer can match it. And yet, huge advances in molecular biology over the past few decades have served only to deepen the mystery. So can life be explained by known physics and chemistry, or do we need something fundamentally new?

In this penetrating and wide-ranging new analysis, world-renowned physicist and science communicator Paul Davies searches for answers in a field

Macroeconomy
39 Aging and the Macroeconomy - Committee on the Long-Run Macro-Economic Effects of the Aging U.S. Population, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences, Committee on Population, Division of Behavioral and Social Sciences and Education & National Research Council
Auteur : Committee on the Long-Run Macro-Economic Effects of the Aging U.S. Population, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences, Committee on Population, Division of Behavioral and Social Sciences and Education & National Research Council
Genre : Sciences sociales
The United States is in the midst of a major demographic shift. In the coming decades, people aged 65 and over will make up an increasingly large percentage of the population: The ratio of people aged 65+ to people aged 20-64 will rise by 80%. This shift is happening for two reasons: people are living longer, and many couples are choosing to have fewer children and to have those children somewhat later in life. The resulting demographic shift will present the nation with economic challenges, both to absorb the costs and to leverage the benefits of an aging population. Aging and the Macroeconomy: Long-Term Implications of an Older Population presents the fundamental factors driving the aging of the U.S. population, as well as its societal implications and likely long-term macroeconomic effects in a global context. The report finds that, while population aging does not pose an insur

Mathematics
Century
Biology
40 Mathematics and 21st Century Biology - Committee on Mathematical Sciences Research for DOE's Computational Biology & National Research Council
Auteur : Committee on Mathematical Sciences Research for DOE's Computational Biology & National Research Council
Genre : Science de la vie
The exponentially increasing amounts of biological data along with comparable advances in computing power are making possible the construction of quantitative, predictive biological systems models. This development could revolutionize those biology-based fields of science. To assist this transformation, the U.S. Department of Energy asked the National Research Council to recommend mathematical research activities to enable more effective use of the large amounts of existing genomic information and the structural and functional genomic information being created. The resulting study is a broad, scientifically based view of the opportunities lying at the mathematical science and biology interface. The book provides a review of past successes, an examination of opportunities at the various levels of biological systems— from molecules to ecosystems—an analysis of cross-cutting themes, and

Frontiers
Massive
Analysis
41 Frontiers in Massive Data Analysis - Committee on the Analysis of Massive Data, Committee on Applied and Theoretical Statistics, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Auteur : Committee on the Analysis of Massive Data, Committee on Applied and Theoretical Statistics, Board on Mathematical Sciences And Their Applications, Division on Engineering and Physical Sciences & National Research Council
Genre : Mathématiques
Data mining of massive data sets is transforming the way we think about crisis response, marketing, entertainment, cybersecurity and national intelligence. Collections of documents, images, videos, and networks are being thought of not merely as bit strings to be stored, indexed, and retrieved, but as potential sources of discovery and knowledge, requiring sophisticated analysis techniques that go far beyond classical indexing and keyword counting, aiming to find relational and semantic interpretations of the phenomena underlying the data.
Frontiers in Massive Data Analysis examines the frontier of analyzing massive amounts of data, whether in a static database or streaming through a system. Data at that scale--terabytes and petabytes--is increasingly common in science (e.g., particle physics, remote sensing, genomics), Internet commerce, business analytics, national securit

Exposure
42 База Данных “Tamer 1.2.” Часть 2. Time’s Auto-Mathematical Exposure Ring - Игорь Малиновский
Auteur : Игорь Малиновский
Genre : Éducation
Импульсный технический анализ это оригинальная, авторская концепция.
В четырех книгах предложена математическая модель аналитического программного обеспечения на основе нового параметра, импульсной характеристики интервала времени, для процессов, фиксируемых обобщенными параметрами количества дискретного характера.
Модель создана для применения в области технического анализа финансовых данных на основе импульсной концепции технического анализа. Импульсная концепция явл

Exposure
43 Программное Обеспечение «Tamer» Математическая Модель Time’s Auto-Mathematical Exposure Ring - Игорь Малиновский
Auteur : Игорь Малиновский
Genre : Éducation
Импульсный технический анализ это оригинальная, авторская концепция.
В четырех книгах предложена математическая модель аналитического программного обеспечения на основе нового параметра, импульсной характеристики интервала времени, для процессов, фиксируемых обобщенными параметрами количества дискретного характера.
Модель создана для применения в области технического анализа финансовых данных на основе импульсной концепции технического анализа. Импульсная концепция явл

Exposure
44 База Данных “Tamer 1.2.” Часть 1. Time’s Auto-Mathematical Exposure Ring - Игорь Малиновский
Auteur : Игорь Малиновский
Genre : Éducation
Импульсный технический анализ это оригинальная, авторская концепция.
В четырех книгах предложена математическая модель аналитического программного обеспечения на основе нового параметра, импульсной характеристики интервала времени, для процессов, фиксируемых обобщенными параметрами количества дискретного характера.
Модель создана для применения в области технического анализа финансовых данных на основе импульсной концепции технического анализа. Импульсная концепция явл

Certain
Subclass
Bazilevic
Functions
45 On Certain Subclass of [Lambda]-Bazilevic Functions of Type [Alpha] + I[Mu] (Report) - Tamsui Oxford Journal of Mathematical Sciences
Auteur : Tamsui Oxford Journal of Mathematical Sciences
Genre : Mathématiques
Abstract In the present paper, the authors introduce a new subclass [B.sub.n]([lambda], [alpha], [mu], A, B, z) of [lambda]-Bazilevic functions of type [alpha] + i[mu]. The subordination relations and inequality properties are discussed by making use of differential subordination method. The results presented here generalize and improve some known results, and some other new results are obtained.

Nondiscreteness
Topological
Homotopy
Cardinality
46 On Nondiscreteness of a Higher Topological Homotopy Group and Its Cardinality. - Bulletin of the Belgian Mathematical Society - Simon Stevin
Auteur : Bulletin of the Belgian Mathematical Society - Simon Stevin
Genre : Mathématiques
1 Introduction In 1998, J. Pawlicowski [5] presented a forcing free proof of a conjecture of Mycielski [4] that the fundamental group of a connected locally connected compact metric space is either finitely generated or has the power of the continuum. In [1], Biss equipped the loop space of X with the compact open topology. Then he put a canonical topology on the fundamental group of X as a quotient of Hom(([S.sup.1], 1), (X, x)) which is invariant under the homotopy type of X and denoted it by [[pi].sup.top.sub.n](X, x). He proved among the other things that [[pi].sup.top.sub.n](X, x) is a topological group which is independent of the base point. Recently, P. Fabel [2] using the Mycielski's conjecture, showed that if X is a peano continuum, then either X has a finitely generated discrete topological fundamental group, or it has a non-discrete topological fundamental group, having the po

Continuous
Deterministic
Inventory
Deteriorating
Inventory
Dependent
Varying
47 A Continuous Deterministic Inventory System for Deteriorating Items with Inventory-Level-Dependent Time Varying Demand Rate (Report) - Tamsui Oxford Journal of Mathematical Sciences
Auteur : Tamsui Oxford Journal of Mathematical Sciences
Genre : Mathématiques
Abstract A continuous deterministic inventory model for deteriorating items is developed under instantaneous replenishment and stock-dependent time--varying demand rate. A numerical example is taken to determine the optimal average cost. A sensitivity analysis is carried out to demonstrate the effects of changing parameter values on the optimal solution of the system.

Revision
Incompleteness
Theorem
Neutrosophy
48 A Revision to Godel's Incompleteness Theorem by Neutrosophy (Report) - International Journal of Mathematical Combinatorics
Auteur : International Journal of Mathematical Combinatorics
Genre : Mathématiques
Abstract: According to Smarandache's neutrosophy, the Godel's incompleteness theorem contains the truth, the falsehood, and the indeterminacy of a statement under consideration. It is shown in this paper that the proof of Godel's incompleteness theorem is faulty, because all possible situations are not considered (such as the situation where from some axioms wrong results can be deducted, for example, from the axiom of choice the paradox of the doubling ball theorem can be deducted; and many kinds of indeterminate situations, for example, a proposition can be proved in 9999 cases, and only in 1 case it can be neither proved, nor disproved). With all possible situations being considered with Smarandache's neutrosophy, the Godel's Incompleteness theorem is revised into the incompleteness axiom: Any proposition in any formal mathematical axiom system will represent, respectively, the truth

Varieties
Groupoids
Quasigroups
Generated
Bivariate
Polynomials
49 Varieties of Groupoids and Quasigroups Generated by Linear-Bivariate Polynomials over Ring [Z.Sub.N] (Report) - International Journal of Mathematical Combinatorics
Auteur : International Journal of Mathematical Combinatorics
Genre : Mathématiques
[section] 1. Introduction 1.1 Groupoids, Quasigroups and Identities

Challenges
Theoretical
Computational
Chemistry
50 Mathematical Challenges from Theoretical/Computational Chemistry - Committee on Mathematical Challenges from Computational Chemistry
Auteur : Committee on Mathematical Challenges from Computational Chemistry
Genre : Mathématiques
Computational methods are rapidly becoming major tools of theoretical, pharmaceutical, materials, and biological chemists. Accordingly, the mathematical models and numerical analysis that underlie these methods have an increasingly important and direct role to play in the progress of many areas of chemistry. This book explores the research interface between computational chemistry and the mathematical sciences. In language that is aimed at non-specialists, it documents some prominent examples of past successful cross-fertilizations between the fields and explores the mathematical research opportunities in a broad cross-section of chemical research frontiers. It also discusses cultural differences between the two fields and makes recommendations for overcoming those differences and generally promoting this interdisciplinary work. 
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