E
Author: Eli Maor
Publisher:
Published: 1994
Total Pages: 223
ISBN-13: 9780691033907
DOWNLOAD EBOOKIn this informal and engaging history, Eli Maor protrays the curious characters and the elegant mathematics that lie behind the number e.
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An Imaginary Tale
Author: Paul Nahin
Publisher: Princeton University Press
Published: 2010-02-22
Total Pages: 297
ISBN-13: 1400833892
DOWNLOAD EBOOKToday complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
I Am Not a Number
Author: Jenny Kay Dupuis
Publisher: Second Story Press
Published: 2016-09-06
Total Pages: 32
ISBN-13: 1772602329
DOWNLOAD EBOOKWhen eight-year-old Irene is removed from her First Nations family to live in a residential school she is confused, frightened, and terribly homesick. She tries to remember who she is and where she came from, despite the efforts of the nuns who are in charge at the school and who tell her that she is not to use her own name but instead use the number they have assigned to her. When she goes home for summer holidays, Irene's parents decide never to send her and her brothers away again. But where will they hide? And what will happen when her parents disobey the law? Based on the life of co-author Jenny Kay Dupuis’ grandmother, I Am Not a Number is a hugely necessary book that brings a terrible part of Canada’s history to light in a way that children can learn from and relate to.
Proofs from THE BOOK
Author: Martin Aigner
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 194
ISBN-13: 3662223430
DOWNLOAD EBOOKAccording to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
e: The Story of a Number
Author: Eli Maor
Publisher: Princeton University Press
Published: 2011-10-12
Total Pages: 242
ISBN-13: 1400832349
DOWNLOAD EBOOKThe interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.
Euclid's Elements
Author: Euclid
Publisher:
Published: 2002
Total Pages: 544
ISBN-13:
DOWNLOAD EBOOK"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Elementary Number Theory: Primes, Congruences, and Secrets
Author: William Stein
Publisher: Springer Science & Business Media
Published: 2008-10-28
Total Pages: 173
ISBN-13: 0387855254
DOWNLOAD EBOOKThis is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.
Men of Mathematics
Author: E.T. Bell
Publisher: Simon and Schuster
Published: 2014-03-31
Total Pages: 608
ISBN-13: 1476784256
DOWNLOAD EBOOKFrom one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.
Start with Why
Author: Simon Sinek
Publisher: Penguin
Published: 2011-12-27
Total Pages: 257
ISBN-13: 1591846447
DOWNLOAD EBOOKThe inspirational bestseller that ignited a movement and asked us to find our WHY Discover the book that is captivating millions on TikTok and that served as the basis for one of the most popular TED Talks of all time—with more than 56 million views and counting. Over a decade ago, Simon Sinek started a movement that inspired millions to demand purpose at work, to ask what was the WHY of their organization. Since then, millions have been touched by the power of his ideas, and these ideas remain as relevant and timely as ever. START WITH WHY asks (and answers) the questions: why are some people and organizations more innovative, more influential, and more profitable than others? Why do some command greater loyalty from customers and employees alike? Even among the successful, why are so few able to repeat their success over and over? People like Martin Luther King Jr., Steve Jobs, and the Wright Brothers had little in common, but they all started with WHY. They realized that people won't truly buy into a product, service, movement, or idea until they understand the WHY behind it. START WITH WHY shows that the leaders who have had the greatest influence in the world all think, act and communicate the same way—and it's the opposite of what everyone else does. Sinek calls this powerful idea The Golden Circle, and it provides a framework upon which organizations can be built, movements can be led, and people can be inspired. And it all starts with WHY.
Dr. Euler's Fabulous Formula
Author: Paul J. Nahin
Publisher: Princeton University Press
Published: 2017-04-04
Total Pages: 416
ISBN-13: 0691175918
DOWNLOAD EBOOKIn the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
