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Five Equations That Changed The World The Power And Poetry Of Mathematics

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Five Equations That Changed the World

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Five Equations That Changed the World by Michael Guillen Book Summary:

A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.

Five Equations That Changed the World

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Five Equations That Changed the World by Michael Guillen Book Summary:

A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.

Bridges to Infinity

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Bridges to Infinity by Michael Guillen Book Summary:

Explains important mathematical concepts, such as probability and statistics, set theory, paradoxes, symmetries, dimensions, game theory, randomness, and irrational numbers

Perspectives in Computation

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Perspectives in Computation by Robert Geroch Book Summary:

Perspectives in Computation covers three broad topics: the computation process & its limitations; the search for computational efficiency; & the role of quantum mechanics in computation.

How Math Explains the World

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

How Math Explains the World by James D. Stein, Jr. Book Summary:

In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

The Math Book

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The Math Book by Clifford A. Pickover Book Summary:

This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.

The Equation that Couldn't Be Solved

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

The Equation that Couldn't Be Solved by Mario Livio Book Summary:

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. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Euler's Pioneering Equation

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Euler's Pioneering Equation by Robin Wilson,Robin (Emeritus Professor of Pure Mathematics Wilson, Open University) Book Summary:

In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a "score for beauty". While there were many worthy competitors, the winner was"Euler's equation". In 2004 Physics World carried out a similar poll of "greatest equations", and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like aShakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence".What is it that makes Euler's identity, eipi + 1 = 0, so special?In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a majordevelopment in mathematics, and opened up the idea of negative numbers; pi an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Followinga chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.

The 7 Most Important Equations for Your Retirement

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

The 7 Most Important Equations for Your Retirement by Moshe A. Milevsky Book Summary:

The 800 years of scientific breakthroughs that will help salvageyour retirement plans Physics, Chemistry, Astronomy, Biology; every field has itsintellectual giants who made breakthrough discoveries that changedthe course of history. What about the topic of retirement planning?Is it a science? Or is retirement income planning just a collectionof rules-of-thumb, financial products and sales pitches? In The7 Most Important Equations for Your Retirement...And the StoriesBehind Them Moshe Milevsky argues that twenty first centuryretirement income planning is indeed a science and has itsfoundations in the work of great sages who made conceptual andcontroversial breakthroughs over the last eight centuries. In the book Milevsky highlights the work of sevenscholars—summarized by seven equations—who shaped allmodern retirement calculations. He tells the stories of LeonardoFibonnaci the Italian businessman; Benjamin Gompertz the gentlemanactuary; Edmund Halley the astronomer; Irving Fisher the stockjock; Paul Samuelson the economic guru; Solomon Heubner theinsurance and marketing visionary, and Andrey Kolmogorov theRussian mathematical genius—all giants in their respectivefields who collectively laid the foundations for modern retirementincome planning. With baby boomers starting to hit retirement age, planning forretirement income has become a hot topic across the country Author Moshe Milevsky is an internationally-respected financialexpert with the knowledge you need to assess whether you are readyto retire or not Presents an entertaining, informative narrative approach tofinancial planning Understanding the ideas behind these seven foundationequations—which Moshe Milevsky explains in a manner thateveryone can appreciate—will help baby boomers better preparefor retirement. This is a book unlike anything you have ever readon retirement planning. Think Suze Orman meets Stephen Hawking. Ifyou ever wondered what the point of all that high schoolmathematics was, Moshe Milevsky's answer is: So that you canfigure out how to retire...while you can still enjoy yourmoney.

The Null Prophecy

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The Null Prophecy by Michael Guillen Book Summary:

A book to challenge the status quo, spark a debate, and get people talking about the issues and questions we face as a country!

Our Mathematical Universe

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Our Mathematical Universe by Max Tegmark Book Summary:

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

The Mathematics of Love

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The Mathematics of Love by Hannah Fry Book Summary:

Uses math as a tool for explaining the complicated patterns of love, tackling such common questions as the chance of finding love that will last, how online dating works, and when to compromise.

Can You Count in Greek?

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Can You Count in Greek? by Judy Leimbach,Kathy Leimbach Book Summary:

Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, Romans, and Hindu-Arabic cultures, and also about quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a selected few, your students will gain a better understanding and appreciation of our number system.

Contemporary Authors

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Contemporary Authors by Terrie M. Rooney,Rooney Rooney Terrie M Book Summary:

Your students and users will find biographical information on approximately 300 modern writers in this volume of Contemporary Authors®.

A Mathematician's Apology

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A Mathematician's Apology by G. H. Hardy Book Summary:

G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

Can a Smart Person Believe in God?

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Can a Smart Person Believe in God? by Michael Guillen Book Summary:

As Christians, we are often urged to turn away from scientific discovery and rely solely on the Bible as the source of our faith. On the other hand, many people in areas such as science, law, and education insist that Christian faith is lowbrow or unintelligent. But is it possible to reconcile science with what you believe about God? As someone who has grappled with the issues of science and faith in the public eye for more than a decade as a television journalist, Dr. Michael Guillen believes it is possible. In fact, by embracing the discoveries of science we can see God, the universe, and humanity in full, multidimensional glory. Fortunately, you don't have to be a genius to enjoy this book. The bite-sized chapters are full of fascinating scientific tidbits in an easy-to-understand format. Captivating stories of the author's childhood in the Mexican barrio of East L.A. and his work in television and research are woven throughout. There is even an entertaining SQ (Spiritual Quotient) test for readers to take.

PISA Take the Test Sample Questions from OECD's PISA Assessments

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PISA Take the Test Sample Questions from OECD's PISA Assessments by OECD Book Summary:

This book presents all the publicly available questions from the PISA surveys. Some of these questions were used in the PISA 2000, 2003 and 2006 surveys and others were used in developing and trying out the assessment.

The Knowledge Machine: How Irrationality Created Modern Science

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The Knowledge Machine: How Irrationality Created Modern Science by Michael Strevens Book Summary:

“The Knowledge Machine is the most stunningly illuminating book of the last several decades regarding the all-important scientific enterprise.” —Rebecca Newberger Goldstein, author of Plato at the Googleplex A paradigm-shifting work, The Knowledge Machine revolutionizes our understanding of the origins and structure of science. • Why is science so powerful? • Why did it take so long—two thousand years after the invention of philosophy and mathematics—for the human race to start using science to learn the secrets of the universe? In a groundbreaking work that blends science, philosophy, and history, leading philosopher of science Michael Strevens answers these challenging questions, showing how science came about only once thinkers stumbled upon the astonishing idea that scientific breakthroughs could be accomplished by breaking the rules of logical argument. Like such classic works as Karl Popper’s The Logic of Scientific Discovery and Thomas Kuhn’s The Structure of Scientific Revolutions, The Knowledge Machine grapples with the meaning and origins of science, using a plethora of vivid historical examples to demonstrate that scientists willfully ignore religion, theoretical beauty, and even philosophy to embrace a constricted code of argument whose very narrowness channels unprecedented energy into empirical observation and experimentation. Strevens calls this scientific code the iron rule of explanation, and reveals the way in which the rule, precisely because it is unreasonably close-minded, overcomes individual prejudices to lead humanity inexorably toward the secrets of nature. “With a mixture of philosophical and historical argument, and written in an engrossing style” (Alan Ryan), The Knowledge Machine provides captivating portraits of some of the greatest luminaries in science’s history, including Isaac Newton, the chief architect of modern science and its foundational theories of motion and gravitation; William Whewell, perhaps the greatest philosopher-scientist of the early nineteenth century; and Murray Gell-Mann, discoverer of the quark. Today, Strevens argues, in the face of threats from a changing climate and global pandemics, the idiosyncratic but highly effective scientific knowledge machine must be protected from politicians, commercial interests, and even scientists themselves who seek to open it up, to make it less narrow and more rational—and thus to undermine its devotedly empirical search for truth. Rich with illuminating and often delightfully quirky illustrations, The Knowledge Machine, written in a winningly accessible style that belies the import of its revisionist and groundbreaking concepts, radically reframes much of what we thought we knew about the origins of the modern world.

The Glass Castle

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The Glass Castle by Jeannette Walls Book Summary:

Journalist Walls grew up with parents whose ideals and stubborn nonconformity were their curse and their salvation. Rex and Rose Mary and their four children lived like nomads, moving among Southwest desert towns, camping in the mountains. Rex was a charismatic, brilliant man who, when sober, captured his children's imagination, teaching them how to embrace life fearlessly. Rose Mary painted and wrote and couldn't stand the responsibility of providing for her family. When the money ran out, the Walls retreated to the dismal West Virginia mining town Rex had tried to escape. As the dysfunction escalated, the children had to fend for themselves, supporting one another as they found the resources and will to leave home. Yet Walls describes her parents with deep affection in this tale of unconditional love in a family that, despite its profound flaws, gave her the fiery determination to carve out a successful life. -- From publisher description.

Harvard Magazine

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Harvard Magazine by N.A Book Summary:

Download or read Harvard Magazine book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Infinite Powers

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Infinite Powers by Steven Strogatz Book Summary:

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

The Joy of x

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The Joy of x by Steven Strogatz Book Summary:

“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 business, Strogatz is the math teacher you wish you’d had. Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

How Not to be Wrong

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How Not to be Wrong by Jordan Ellenberg Book Summary:

"Using the mathematician's method of analyzing life and exposing the hard-won insights of the academic community to the layman, minus the jargon ... Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need"--

Against the Day

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Against the Day by Thomas Pynchon Book Summary:

A New York Times Notable Book of the Year, a Washington Post Best Book of the Year Spanning the era between the Chicago World’s Fair of 1893 and the years just after World War I, and constantly moving between locations across the globe (and to a few places not strictly speaking on the map at all), Against the Day unfolds with a phantasmagoria of characters that includes anarchists, balloonists, gamblers, drug enthusiasts, mathematicians, mad scientists, shamans, spies, and hired guns. As an era of uncertainty comes crashing down around their ears and an unpredictable future commences, these folks are mostly just trying to pursue their lives. Sometimes they manage to catch up; sometimes it’s their lives that pursue them.

Mathematics and Beauty

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Mathematics and Beauty by Nathalie Sinclair,William Higginson Book Summary:

In this innovative book, Nathalie Sinclair makes a compelling case for the inclusion of the aesthetic in the teaching and learning of mathematics. Using a provocative set of philosophical, psychological, mathematical, technological, and educational insights, she illuminates how the materials and approaches we use in the mathematics classroom can be enriched for the benefit of all learners. While ranging in scope from the young learner to the professional mathematician, there is a particular focus on middle school, where negative feelings toward mathematics frequently begin. Offering specific recommendations to help teachers evoke and nurture their students’ aesthetic abilities, this book: Features powerful episodes from the classroom that show students in the act of developing a sense of mathematical aesthetics. Analyzes how aesthetic sensibilities to qualities such as connectedness, fruitfulness, apparent simplicity, visual appeal, and surprise are fundamental to mathematical inquiry. Includes examples of mathematical inquiry in computer-based learning environments, revealing some of the roles they play in supporting students’ aesthetic inclinations.

Euclid's Elements

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Euclid's Elements by Euclid,Dana Densmore,Thomas L. Heath Book Summary:

The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy student and teacher sewn softcover edition in one volume, with minimal notes and a new index/glossary.

Learning to be

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Learning to be by Edgar Faure,UNESCO Book Summary:

Download or read Learning to be book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

The 1600s

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

The 1600s by Louise Gerdes Book Summary:

Describes the scientific advances, settlements in America, the emergence of new dynasties in Russia and China, political upheavel in England, and rise of European art and culture during the seventeenth century.

Senior High School Library Catalog

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Senior High School Library Catalog by H.W. Wilson Company Book Summary:

Each vol. is divided into 2 parts 1st-7th ed.: Dictionary catalog and Classified catalog; 8th-9th ed. have 3rd. part: Directory of publishers.

Public Library Catalog

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Public Library Catalog by Juliette Yaakov Book Summary:

Highly recommended reference works in all subject areas and non-fiction books for adults, plus information on electronic editions when available. More than 8,000 books in the main volume. More than 2,400 new titles in annual paperbound supplements. More than 2,000 analytic entries for items in collections and anthologies.

Senior High Core Collection

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Senior High Core Collection by Raymond W. Barber,Patrice Bartell Book Summary:

- More than 6,500 books in the initial clothbound volume, plus more than 2,400 new titles in four annual supplements. - New coverage of biographies, art, sports, Islam and the Middle East, and cultural diversity. - Special focus on graphic novels, primary source materials, nonbook materials, and periodicals. - Analytic entries for items in collections and anthologies.

Senior High Core Collection

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Senior High Core Collection by N.A Book Summary:

Download or read Senior High Core Collection book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Expanding the American Mind

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Expanding the American Mind by Beth Luey Book Summary:

A lively exploration of how nonfiction books have kept Americans learning long after leaving college.

Unexpected Expectations

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Unexpected Expectations by Leonard M. Wapner Book Summary:

Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications. The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including: The roles of aversion and risk in rational decision making A class of expected value paradoxes referred to as envelope problems Parrondo’s paradox—how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recall Non-zero-sum games, such as the game of chicken and the prisoner’s dilemma Newcomb’s paradox—a great philosophical paradox of free will Benford’s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "a statistical crystal ball." Listen to an interview with the author on NewBooksinMath.com.

The Christian Science Monitor Index

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The Christian Science Monitor Index by N.A Book Summary:

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The Origins of Major War

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The Origins of Major War by Dale C. Copeland Book Summary:

One of the most important questions of human existence is what drives nations to war—especially massive, system-threatening war. Much military history focuses on the who, when, and where of war; in this riveting book, Dale C. Copeland brings attention to bear on why governments make decisions that lead to, sustain, and intensify conflicts. Copeland presents detailed historical narratives of several twentieth-century cases, including World War I, World War II, and the Cold War. He highlights instigating factors that transcend individual personalities, styles of government, geography, and historical context to reveal remarkable consistency across several major wars usually considered dissimilar. The result is a series of challenges to established interpretive positions and provocative new readings of the causes of conflict. Classical realists and neorealists claim that dominant powers initiate war. Hegemonic stability realists believe that wars are most often started by rising states. Copeland offers an approach stronger in explanatory power and predictive capacity than these three brands of realism: he examines not only the power resources but the shifting power differentials of states. He specifies more precisely the conditions under which state decline leads to conflict, drawing empirical support from the critical cases of the twentieth century as well as major wars spanning from ancient Greece to the Napoleonic Wars.

The Book Review Digest

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The Book Review Digest by N.A Book Summary:

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Indeterminate Equation

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Indeterminate Equation by Xing Zhou Book Summary:

Welcome to the Math All Star series! These books are for middle school and high school students who are motivated to participate in math competitions such as MathCounts, AMC, and AIME. Their coaches may also find these books useful. The website, http://www.mathallstar.com, provides extra practice problems and serves as a highly recommended supplemental learning resource. Indeterminate Equation Indeterminate equations is a popular subject in math competitions at all levels, from AMC 8 to IMO. For example, in 2015 alone, both IMO and USAMO have an indeterminate equation problem out of 6 in total. Meanwhile, AIME and AMC12/10/8 also have various related questions. Despite its popularity, how to solve indeterminate equations is rarely discussed in classrooms. As a result, many students are lack of necessary knowledge and skills to tackle such problems. This book is to discuss various types of indeterminate equations and corresponding solving techniques. Upon completing this book, readers should be able to recognize and solve these indeterminate equations comfortably. Table of contents and pre-assessment are both available at the website www.mathallstar.com.

Why Numbers Count

Five Equations That Changed The World The Power And Poetry Of Mathematics [Pdf/ePub] eBook

Why Numbers Count by Lynn Arthur Steen Book Summary:

Discusses the kind of quantitative skills students will need to reason and solve problems in the computer age