Science

Fermat’s Last Theorem

Author: Simon Singh

Publisher: HarperCollins UK

ISBN: 0007381999

Category: Science

Page: 368

View: 2689

‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’
Fermat's last theorem

Fermat's last theorem

the story of a riddle that confounded the world's greatest minds for 358 years

Author: Simon Singh

Publisher: HarperCollins UK

ISBN: 000724181X

Category: Fermat's last theorem

Page: 362

View: 7480

This is the story of the solving of a puzzle that has confounded mathematicians since the 17th century, but which every child can understand. It includes the fascinating story of Andrew Wiles who finally cracked the code.
Diophantine analysis

Fermat's Last Theorem

The Story of a Riddle that Confounded the World's Greatest Minds for 358 Years

Author: Simon Singh

Publisher: HarperCollins UK

ISBN: 1841157910

Category: Diophantine analysis

Page: 340

View: 3907

This is the story of the solving of a puzzle that has confounded mathematicians since the 17th century, but which every child can understand. It includes the fascinating story of Andrew Wiles who finally cracked the code.
Mathematics

Fermat's Enigma

The Epic Quest to Solve the World's Greatest Mathematical Problem

Author: Simon Singh

Publisher: Anchor

ISBN: 0525435328

Category: Mathematics

Page: 336

View: 2776

xn + yn = zn, where n represents 3, 4, 5, ...no solution "I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain." With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.
Science

Prime Obsession

Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

Author: John Derbyshire

Publisher: Joseph Henry Press

ISBN: 0309141257

Category: Science

Page: 446

View: 5702

In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.
Social Science

The Simpsons and Their Mathematical Secrets

Author: Simon Singh

Publisher: A&C Black

ISBN: 1408835312

Category: Social Science

Page: 272

View: 5011

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.
Mathematics

Fermat's Last Theorem

A Genetic Introduction to Algebraic Number Theory

Author: Harold M. Edwards

Publisher: Springer Science & Business Media

ISBN: 9780387950020

Category: Mathematics

Page: 410

View: 4710

This introduction to algebraic number theory via "Fermat's Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummer theory of "ideal" factorization. In treats elementary topics, new concepts and techniques; and it details the application of Kummer theory to quadratic integers, relating it to Gauss theory of binary quadratic forms, an interesting connection not explored in any other book.
Science

The Mathematical Career of Pierre de Fermat, 1601-1665

Second Edition

Author: Michael Sean Mahoney

Publisher: Princeton University Press

ISBN: 0691187630

Category: Science

Page: N.A

View: 6821

Hailed as one of the greatest mathematical results of the twentieth century, the recent proof of Fermat's Last Theorem by Andrew Wiles brought to public attention the enigmatic problem-solver Pierre de Fermat, who centuries ago stated his famous conjecture in a margin of a book, writing that he did not have enough room to show his "truly marvelous demonstration." Along with formulating this proposition--xn+yn=zn has no rational solution for n > 2--Fermat, an inventor of analytic geometry, also laid the foundations of differential and integral calculus, established, together with Pascal, the conceptual guidelines of the theory of probability, and created modern number theory. In one of the first full-length investigations of Fermat's life and work, Michael Sean Mahoney provides rare insight into the mathematical genius of a hobbyist who never sought to publish his work, yet who ranked with his contemporaries Pascal and Descartes in shaping the course of modern mathematics.
Mathematics

Fermat's Last Theorem

Unlocking the Secret of an Ancient Mathematical Problem

Author: Amir D. Aczel

Publisher: Basic Books (AZ)

ISBN: 9781568583600

Category: Mathematics

Page: 147

View: 8327

Simple, elegant, and utterly impossible to prove, Fermat's last theorem captured the imaginations of mathematicians for more than three centuries. For some, it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Amir D. Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised from the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, Fermat's Last Theorem brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.
Mathematics

A Most Elegant Equation

Euler's Formula and the Beauty of Mathematics

Author: David Stipp

Publisher: Basic Books

ISBN: 0465093787

Category: Mathematics

Page: 240

View: 1277

An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.
Mathematicians

The Man who Loved Only Numbers

The Story of Paul Erdös and the Search for Mathematical Truth

Author: Paul Hoffman

Publisher: Fourth Estate (GB)

ISBN: 9781857028294

Category: Mathematicians

Page: 301

View: 6665

The biography of a mathematical genius. Paul Erdos was the most prolific pure mathematician in history and, arguably, the strangest too. 'A mathematical genius of the first order, Paul Erdos was totally obsessed with his subject -- he thought and wrote mathematics for nineteen hours a day until he died. He travelled constantly, living out of a plastic bag and had no interest in food, sex, companionship, art -- all that is usually indispensible to a human life. Paul Hoffman, in this marvellous biography, gives us a vivid and strangely moving portrait of this singular creature, one that brings out not only Erdos's genius and his oddness, but his warmth and sense of fun, the joyfulness of his strange life.' Oliver Sacks For six decades Erdos had no job, no hobbies, no wife, no home; he never learnt to cook, do laundry, drive a car and died a virgin. Instead he travelled the world with his mother in tow, arriving at the doorstep of esteemed mathematicians declaring 'My brain is open'. He travelled until his death at 83, racing across four continents to prove as many theorems as possible, fuelled by a diet of espresso and amphetamines. With more than 1,500 papers written or co-written,
Juvenile Nonfiction

The Code Book

How to Make It, Break It, Hack It, Crack it

Author: Simon Singh

Publisher: Ember

ISBN: 0385730624

Category: Juvenile Nonfiction

Page: 263

View: 7852

Provides a review of cryptography, its evolution over time, and its purpose throughout history from the era of Julius Caesar to the modern day.
Mathematics

The Last Problem

Author: Eric Temple Bell

Publisher: N.A

ISBN: 9781684221479

Category: Mathematics

Page: 308

View: 8483

2017 Reprint of 1961 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition software. What Eric Temple Bell calls "The Last Problem" is the problem of proving 'Fermat's Last Theorem', which Fermat wrote in the margin of a book almost 350 years ago. The original text of The Last Problem traced the problem from 2000 BC to 17th century France. Along the way we learn quite a bit about history, and just as much about mathematics. This book fits no categories. It is not a book of mathematics: it is a biography of a famous problem. Pages go by without an equation appearing. It is both a history of number theory and its place in our civilization, and a history of our civilization's relationship with mathematics. This rich and varied, wide-ranging book, written with force and vigor by someone with a distinctive style and point of view will provide hours of enjoyable reading for anyone interested in mathematics.
Biography & Autobiography

Birth of a Theorem

A Mathematical Adventure

Author: Cédric Villani

Publisher: Farrar, Straus and Giroux

ISBN: 0374710236

Category: Biography & Autobiography

Page: 272

View: 4754

In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.
Alternative medicine

Trick Or Treatment?

Alternative Medicine on Trial

Author: Simon Singh,Edzard Ernst

Publisher: Corgi Books

ISBN: 9780552157629

Category: Alternative medicine

Page: 416

View: 3096

In this groundbreaking analysis, more than 30 of the most popular alternative healing treatments--acupuncture, homeopathy, aromatherapy, reflexology, chiropractic, and herbal medicines--are examined for their benefits and potential dangers. 16 illustrations.
Mathematics

A History of [pi] (pi)

Author: Petr Beckmann

Publisher: Barnes & Noble Publishing

ISBN: 9780880294188

Category: Mathematics

Page: 200

View: 5585

Documents the calculation, numerical value, and use of the ratio from 2000 B.C. to the modern computer age, detailing social conditions in eras when progress was made.
Ciphers

The Science of Secrecy

The Secret History of Codes and Codebreaking

Author: Simon Singh

Publisher: N.A

ISBN: 9781841154350

Category: Ciphers

Page: 224

View: 9003

A TV tie-in edition of The Code Book filmed as a prime-time five-part Channel 4 series on the history of codes and code-breaking and presented by the author. This book, which accompanies the major Channel 4 series, brings to life the hidden history of codes and code breaking. Since the birth of writing, there has also been the need for secrecy. The story of codes is the story of the brilliant men and women who used mathematics, linguistics, machines, computers, gut instinct, logic and detective work to encrypt and break these secrect messages and the effect their work has had on history.
Mathematics

The Unfinished Game

Pascal, Fermat, and the Seventeenth-Century Letter That Made the World Modern

Author: Keith Devlin,Keith J. Devlin

Publisher: Basic Books

ISBN: 0465018963

Category: Mathematics

Page: 191

View: 6767

Examines a letter written by Blaise Pascal to Pierre de Fermat in 1654 that speaks of probability and numerical values that have had an impact on the modern world with regard to calculating insurance rates, the housing markets, and car safety.
Mathematics

Things to Make and Do in the Fourth Dimension

A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More

Author: Matt Parker

Publisher: Farrar, Straus and Giroux

ISBN: 0374710376

Category: Mathematics

Page: 464

View: 1373

A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.
Mathematics

How Euler Did Even More

Author: C. Edward Sandifer

Publisher: The Mathematical Association of America

ISBN: 0883855844

Category: Mathematics

Page: 240

View: 396

Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.