A Mathematical Odyssey

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A Mathematical Odyssey

Author : Steven G. Krantz
Publisher : Springer
ISBN 13 : 1461489393
Total Pages : 392 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis A Mathematical Odyssey by : Steven G. Krantz

Download or read book A Mathematical Odyssey written by Steven G. Krantz and published by Springer. This book was released on 2014-05-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is one of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.

The Number Mysteries

Author : Marcus du Sautoy
Publisher : St. Martin's Press
ISBN 13 : 9780230120280
Total Pages : 272 pages
Book Rating : 4.1/5 (22 download)

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Book Synopsis The Number Mysteries by : Marcus du Sautoy

Download or read book The Number Mysteries written by Marcus du Sautoy and published by St. Martin's Press. This book was released on 2011-05-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generation's foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future—from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the beauty behind five mathematical puzzles that have contributed to our understanding of the world around us and have helped develop the technology to cope with it. With loads of games to play and puzzles to solve, this is a math book for everyone.

A Mathematical Space Odyssey

Author : Claudi Alsina
Publisher : American Mathematical Soc.
ISBN 13 : 1614442169
Total Pages : 271 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis A Mathematical Space Odyssey by : Claudi Alsina

Download or read book A Mathematical Space Odyssey written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.--

Benjamin Franklin's Numbers

Author : Paul C. Pasles
Publisher : Princeton University Press
ISBN 13 : 9780691129563
Total Pages : 272 pages
Book Rating : 4.1/5 (295 download)

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Book Synopsis Benjamin Franklin's Numbers by : Paul C. Pasles

Download or read book Benjamin Franklin's Numbers written by Paul C. Pasles and published by Princeton University Press. This book was released on 2007-11-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few American lives have been as celebrated--or as closely scrutinized--as that of Benjamin Franklin. Yet until now Franklin's biographers have downplayed his interest in mathematics, at best portraying it as the idle musings of a brilliant and ever-restless mind. In Benjamin Franklin's Numbers, Paul Pasles reveals a side of the iconic statesman, scientist, and writer that few Americans know--his mathematical side. In fact, Franklin indulged in many areas of mathematics, including number theory, geometry, statistics, and economics. In this generously illustrated book, Pasles gives us the first mathematical biography of Benjamin Franklin. He draws upon previously unknown sources to illustrate Franklin's genius for numbers as never before. Magic squares and circles were a lifelong fascination of Franklin's. Here, for the first time, Pasles gathers every one of these marvelous creations together in one place. He explains the mathematics behind them and Franklin's hugely popular Poor Richard's Almanac, which featured such things as population estimates and a host of mathematical digressions. Pasles even includes optional math problems that challenge readers to match wits with the bespectacled Founding Father himself. Written for a general audience, this book assumes no technical skills beyond basic arithmetic. Benjamin Franklin's Numbers is a delightful blend of biography, history, and popular mathematics. If you think you already know Franklin's story, this entertaining and richly detailed book will make you think again.

Benjamin Franklin's Numbers

Author : Paul C. Pasles
Publisher : Princeton University Press
ISBN 13 : 069122370X
Total Pages : 266 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Benjamin Franklin's Numbers by : Paul C. Pasles

Download or read book Benjamin Franklin's Numbers written by Paul C. Pasles and published by Princeton University Press. This book was released on 2021-01-12 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few American lives have been as celebrated--or as closely scrutinized--as that of Benjamin Franklin. Yet until now Franklin's biographers have downplayed his interest in mathematics, at best portraying it as the idle musings of a brilliant and ever-restless mind. In Benjamin Franklin's Numbers, Paul Pasles reveals a side of the iconic statesman, scientist, and writer that few Americans know--his mathematical side. In fact, Franklin indulged in many areas of mathematics, including number theory, geometry, statistics, and economics. In this generously illustrated book, Pasles gives us the first mathematical biography of Benjamin Franklin. He draws upon previously unknown sources to illustrate Franklin's genius for numbers as never before. Magic squares and circles were a lifelong fascination of Franklin's. Here, for the first time, Pasles gathers every one of these marvelous creations together in one place. He explains the mathematics behind them and Franklin's hugely popular Poor Richard's Almanac, which featured such things as population estimates and a host of mathematical digressions. Pasles even includes optional math problems that challenge readers to match wits with the bespectacled Founding Father himself. Written for a general audience, this book assumes no technical skills beyond basic arithmetic. Benjamin Franklin's Numbers is a delightful blend of biography, history, and popular mathematics. If you think you already know Franklin's story, this entertaining and richly detailed book will make you think again.

Integral

Author : John Chisholm
Publisher :
ISBN 13 : 9780692076125
Total Pages : 44 pages
Book Rating : 4.0/5 (761 download)

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Book Synopsis Integral by : John Chisholm

Download or read book Integral written by John Chisholm and published by . This book was released on 2018-06-05 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: An out-of-control mathematical equation, taking on a life of its own and growing by the minute, threatens a nuclear holocaust. To save the world, a courageous young scientist and his dog brave blizzard and heights to discover and apply the insights of famed mathematician Wolfgang von Garbol. Along the way, they encounter a fatally beautiful, brilliant, mysterious woman. With its fast pacing, playful drawings, witty text, and geometric symmetry, this story will delight geeks of all ages.

The Shape of a Life

Author : Shing-Tung Yau
Publisher : Yale University Press
ISBN 13 : 0300245521
Total Pages : 449 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis The Shape of a Life by : Shing-Tung Yau

Download or read book The Shape of a Life written by Shing-Tung Yau and published by Yale University Press. This book was released on 2019-02-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist

Mathematics

Author : David Bruce Johnson
Publisher : Brooks Cole
ISBN 13 : 9780534350758
Total Pages : 886 pages
Book Rating : 4.3/5 (57 download)

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Book Synopsis Mathematics by : David Bruce Johnson

Download or read book Mathematics written by David Bruce Johnson and published by Brooks Cole. This book was released on 1998 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the practical applications as well as the history of mathematics, showing students that mathematics is relevant to their education and to human history and culture. The authors effectively demonstrate how learning the algebraic concepts presented in the book allows students to understand more about logic, probability, statistics, finance, and more.

Finding Zero

Author : Amir D. Aczel
Publisher : Macmillan + ORM
ISBN 13 : 1466879106
Total Pages : 199 pages
Book Rating : 4.4/5 (668 download)

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Book Synopsis Finding Zero by : Amir D. Aczel

Download or read book Finding Zero written by Amir D. Aczel and published by Macmillan + ORM. This book was released on 2015-01-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invention of numerals is perhaps the greatest abstraction the human mind has ever created. Virtually everything in our lives is digital, numerical, or quantified. The story of how and where we got these numerals, which we so depend on, has for thousands of years been shrouded in mystery. Finding Zero is an adventure filled saga of Amir Aczel's lifelong obsession: to find the original sources of our numerals. Aczel has doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross examining so-called scholars who offered wildly differing sets of facts, and ultimately penetrating deep into a Cambodian jungle to find a definitive proof. Here, he takes the reader along for the ride. The history begins with the early Babylonian cuneiform numbers, followed by the later Greek and Roman letter numerals. Then Aczel asks the key question: where do the numbers we use today, the so-called Hindu-Arabic numerals, come from? It is this search that leads him to explore uncharted territory, to go on a grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia. There he is blown away to find the earliest zero—the keystone of our entire system of numbers—on a crumbling, vine-covered wall of a seventh-century temple adorned with eaten-away erotic sculptures. While on this odyssey, Aczel meets a host of fascinating characters: academics in search of truth, jungle trekkers looking for adventure, surprisingly honest politicians, shameless smugglers, and treacherous archaeological thieves—who finally reveal where our numbers come from.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, 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 chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

The Implicit Function Theorem

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 1461200598
Total Pages : 168 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Implicit Function Theorem by : Steven G. Krantz

Download or read book The Implicit Function Theorem written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-11-26 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash--Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.

Abraham Robinson

Author : Joseph Warren Dauben
Publisher :
ISBN 13 : 9780691632360
Total Pages : 0 pages
Book Rating : 4.6/5 (323 download)

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Book Synopsis Abraham Robinson by : Joseph Warren Dauben

Download or read book Abraham Robinson written by Joseph Warren Dauben and published by . This book was released on 2016-04-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician's personal life to have been a dramatic one: developing his talents in spite of war and ethnic repression, Robinson personally confronted some of the worst political troubles of our times. With the skill and expertise familiar to readers of Dauben's earlier works, the book combines an explanation of Robinson's revolutionary achievements in pure and applied mathematics with a description of his odyssey from Hitler's Germany to the United States via conflict-ridden Palestine and wartime Europe. Robinson was born in Prussia in 1918. As a boy, he fled with his mother and brother Saul to Palestine. A decade later he narrowly escaped from Paris as the Germans invaded France. Having spent the rest of World War II in England, at the Royal Aircraft Establishment in Farnborough, he began his teaching career at the Royal College of Aeronautics. Subsequently he moved to universities in Canada, Israel, and finally the United States. A joint appointment in mathematics and philosophy at UCLA led to a position at Yale University, where Robinson served as Sterling Professor of Mathematics until his untimely death at the age of fifty-five. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Math Trek 2

Author : Ivars Peterson
Publisher : Jossey-Bass
ISBN 13 : 9780471315711
Total Pages : 0 pages
Book Rating : 4.3/5 (157 download)

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Book Synopsis Math Trek 2 by : Ivars Peterson

Download or read book Math Trek 2 written by Ivars Peterson and published by Jossey-Bass. This book was released on 2000-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take a wild and Wonderful Voyage Through the Universe of Mathematics! Just imagine how much fun it would be to explore the fourth dimension! Play baseball on an asteroid! Ride an alien bike with square wheels! Let Math Trek 2 take you on an intergalactic excursion as you master dizzying mathematical concepts on your home planet of Earth! While playing games and solving puzzles, you can explore mind-boggling mental mysteries and investigate hidden patterns in the universe. From strange number sequences and bizarre buckyballs to random walks, you’ll be amazed at the mathematical concepts you’ll soon comprehend. So let Math Trek 2 take you on a fantastic space odyssey where you can look for a pi in the sky, get stuck in galactic gridlock, and sail away to the planet of the shapes!

The Math Book

Author : Clifford A. Pickover
Publisher : Union Square + ORM
ISBN 13 : 1402797494
Total Pages : 937 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis The Math Book by : Clifford A. Pickover

Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Geometric Integration Theory

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646795
Total Pages : 340 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Integration Theory by : Steven G. Krantz

Download or read book Geometric Integration Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

In Code

Author : Sarah Flannery
Publisher : Algonquin Books
ISBN 13 : 9781565123779
Total Pages : 364 pages
Book Rating : 4.1/5 (237 download)

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Book Synopsis In Code by : Sarah Flannery

Download or read book In Code written by Sarah Flannery and published by Algonquin Books. This book was released on 2002-01-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in England and cowritten with her father, "In Code" is "a wonderfully moving story about the thrill of the mathematical chase" ("Nature") and "a paean to intellectual adventure" ("Times Educational Supplement"). A memoir in mathematics, it is all about how a girl next door became an award-winning mathematician. photo insert.

A Mathematical Mystery Tour

Author : A. K. Dewdney
Publisher : Wiley
ISBN 13 : 9780471407348
Total Pages : 0 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis A Mathematical Mystery Tour by : A. K. Dewdney

Download or read book A Mathematical Mystery Tour written by A. K. Dewdney and published by Wiley. This book was released on 2001-05-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for A. K. Dewdney Yes, We Have No Neutrons "We need more books like this-especially if they're this much fun to read." -Wired "Dewdney manages to make this catalog of error entertaining as well as instructive; good medicine for both skeptics and true believers." -Kirkus Reviews "Written with wit and a touch of pathos-and sure to please science lovers." -Publishers Weekly 200% of Nothing "It is impossible to read this timely, important book without enjoyment and eye-opening enlightenment." -Martin Gardner "An entertaining, stinging exposé." -Publishers Weekly