Author: D. J. Acheson

Publisher: Oxford University Press, USA

ISBN: 9780198516231

Category: Mathematics

Page: 178

View: 7828

This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famous cartoonists. This unusual book is one of the most readable explanations of mathematics available.
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A Journey into Mathematics

Author: David Acheson

Publisher: OUP Oxford

ISBN: 0199590028

Category: Science

Page: 184

View: 7228

Pure mathematical gold, this insightful book by established author David Acheson makes mathematics accessible to everyone. The entertaining journey through the subject includes some fascinating puzzles and is accompanied by numerous illustrations and sketches by world famous cartoonists.
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Author: David Acheson

Publisher: OUP Oxford

ISBN: 0191500380

Category: Mathematics

Page: 192

View: 7143

David Acheson's extraordinary little book makes mathematics accessible to everyone. From very simple beginnings he takes us on a thrilling journey to some deep mathematical ideas. On the way, via Kepler and Newton, he explains what calculus really means, gives a brief history of pi, and even takes us to chaos theory and imaginary numbers. Every short chapter is carefully crafted to ensure that no one will get lost on the journey. Packed with puzzles and illustrated by world famous cartoonists, this is one of the most readable and imaginative books on mathematics ever written.
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A Mathematical Adventure

Author: David Acheson

Publisher: Oxford University Press

ISBN: 0198804547

Category:

Page: 160

View: 9721

Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn... In The Calculus Story, David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step-by-step treatment, he demonstrates how to start doing calculus, from the very beginning.
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An Introduction to Proofs

Author: Joseph J. Rotman

Publisher: Courier Corporation

ISBN: 0486151689

Category: Mathematics

Page: 256

View: 6673

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
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And other mathematical conundrums

Author: Ian Stewart

Publisher: OUP Oxford

ISBN: 0191500712

Category: Mathematics

Page: 256

View: 9498

Welcome back to Ian Stewart's magical world of mathematics! This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each quirky tale presents a fascinating mathematical puzzle — challenging, fun, and also introducing the reader to a significant mathematical problem in an engaging and witty way.
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the great theorems of mathematics

Author: William Dunham

Publisher: Egully.com

ISBN: N.A

Category: Mathematics

Page: 300

View: 8068

A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve.
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The Vision of Felix Klein

Author: David Mumford,Caroline Series,David Wright

Publisher: Cambridge University Press

ISBN: 9780521352536

Category: Mathematics

Page: 395

View: 1094

Highly illustrated realization of infinitely reflected images related to fractals, chaos and symmetry.
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Author: Alex Bellos

Publisher: A&C Black

ISBN: 1408809591

Category: Mathematics

Page: 448

View: 9177

A hugely enjoyable, brilliantly researched explanation of the basic principles of maths.
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A Fresh Approach to Understanding

Author: Lara Alcock

Publisher: Oxford University Press

ISBN: 0198803796

Category: Mathematics

Page: 232

View: 818

This book is about mathematical thinking, learning and understanding. It is about ways in which good representations capture mathematical ideas, and about building broad and deep knowledge by understanding the links between those ideas. It draws on research in mathematics education and psychology to explain why some misunderstandings and confusions arise for almost everyone, and it describes ways to think about mathematical ideas correctly and with confidence.
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How Life Reflects Numbers and Numbers Reflect Life

Author: Alex Bellos

Publisher: Simon and Schuster

ISBN: 1451640129

Category: Mathematics

Page: 352

View: 2955

From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
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Fun and games with mathematics

Author: Ian Stewart

Publisher: OUP Oxford

ISBN: 0191647454

Category: Mathematics

Page: 256

View: 2862

Welcome to Ian Stewart's strange and magical world of mathematics! In Math Hysteria, Professor Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale: Counting the Cattle of the Sun; The Great Drain Robbery; and Preposterous Piratical Predicaments; to name but a few. Along the way, we also meet many curious characters: in short, these stories are engaging, challenging, and lots of fun!
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Author: Vicky Neale

Publisher: Oxford University Press

ISBN: 0198788282

Category: Mathematics

Page: 208

View: 6617

Since 2013, mathematicians from around the world have made dramatic progress on a problem in number theory that goes back centuries, the Twin Primes Conjecture, which asserts that there are infinitely many pairs of prime numbers that differ by 2 (for example, 17 and 19 is such a pair). This book describes two stories: that of the recent work on the Twin Primes Conjecture, and in parallel the related ideas around primes from the previous two thousand years of mathematics.
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Imagining the World Through the Language of Mathematics

Author: Robyn Arianrhod

Publisher: Oxford University Press

ISBN: 9780195308907

Category: Biography & Autobiography

Page: 336

View: 8877

Blending science, history, and biography, this book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and James Clerk Maxwell.
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The Most Beautiful Theorem in Mathematics

Author: Robin Wilson

Publisher: Oxford University Press

ISBN: 0198794924

Category: Euler's numbers

Page: 200

View: 983

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 a Shakespearian 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, e]iPi + 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 major development 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. Following a 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.
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Author: Luke Heaton

Publisher: Oxford University Press

ISBN: 0190621761

Category: Math anxiety

Page: 336

View: 3927

Emblazoned on many advertisements for the wildly popular game of Sudoku are the reassuring words, "no mathematical knowledge required." Anxiety about math plagues many of us, and school memories can still summon intense loathing. In A Brief History of Mathematical Thought, Luke Heaton shows that much of what many think-and fear-about mathematics is misplaced, and to overcome our insecurities we need to understand its history. To help, he offers a lively guide into and through the world of mathematics and mathematicians, one in which patterns and arguments are traced through logic in a language grounded in concrete experience. Heaton reveals how Greek and Roman mathematicians like Pythagoras, Euclid, and Archimedes helped shaped the early logic of mathematics; how the Fibonacci sequence, the rise of algebra, and the invention of calculus are connected; how clocks, coordinates, and logical padlocks work mathematically; and how, in the twentieth century, Alan Turing's revolutionary work on the concept of computation laid the groundwork for the modern world. A Brief History of Mathematical Thought situates mathematics as part of, and essential to, lived experience. Understanding it requires not abstract thought or numbing memorization but an historical imagination and a view to its origins. --
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A Surprising Excursion Through the Astonishing World of Math

Author: Alex Bellos

Publisher: Simon and Schuster

ISBN: 1416596348

Category: Mathematics

Page: 336

View: 4578

Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct—including the revelation that ants can actually count how many steps they’ve taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games. Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. Here’s Looking at Euclid is a rare gem that brings the beauty of math to life.
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Author: Simon Singh

Publisher: A&C Black

ISBN: 1408835312

Category: Social Science

Page: 272

View: 2027

You may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realising that they contain enough maths to form an entire university course. In The Simpsons and Their Mathematical Secrets, Simon Singh explains how the brilliant writers, some of the mathematicians, have smuggled in mathematical jokes throughout the cartoon's twenty-five year history, exploring everything from to Mersenne primes, from Euler's equation to the unsolved riddle of P vs. NP, from perfect numbers to narcissistic numbers, and much more. With wit, clarity and a true fan's zeal, Singh analyses such memorable episodes as 'Bart the Genius' and 'HomerÂ3' to offer an entirely new insight into the most successful show in television history.
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The Mandelbrot Set and Beyond

Author: Benoit Mandelbrot

Publisher: Springer Science & Business Media

ISBN: 1475740174

Category: Mathematics

Page: 308

View: 4765

Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
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The Mathematical Ideas that Animate Great Magic Tricks

Author: Persi Diaconis,Ron Graham,Ronald L. Graham

Publisher: Princeton University Press

ISBN: 0691151644

Category: Crafts & Hobbies

Page: 244

View: 9892

Magical Mathematics reveals the secrets of fun-to-perform card tricks—and the profound mathematical ideas behind them—that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today’s mathematical knowledge. Diaconis and Graham tell the stories—and reveal the best tricks—of the eccentric and brilliant inventors of mathematical magic. The book exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card Monte, traces the history of mathematical magic back to the oldest mathematical trick—and much more.
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