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Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem
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Simon Singh
Compelling, dramatic, and entirely accessible, "Fermat's Enigma" is a mesmerizing tale of heartbreak and mastery, and one that will forever change the reader's feelings about mathematics. Simon Singh co-produced an award-winning documentary film on Fermat's Last Theorem that aired on PBS's "Nova" series. 21 illustrations.
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A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
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Michael S Schneider
An imaginative tour of the numbers one through ten that illustrates how they consistently recur in everything from nature, technology, art, and science to mythology and the unconscious in archetypal patterns and principles. Richly illustrated with computer graphics and classical art.
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E: The Story of a Number
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Eli Maor
The story of pi has been told many times, both in scholarly works and in popular books. But its close relative, the number e, has fared less well. Despite the central role it plays in mathematics, its history has never before been written for a general audience. The present work fills this gap. Geared to the reader with only a modest background in ...
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Fermat's last theorem
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Simon Singh
The story of the solving of a puzzle that has confounded mathematicians since the 17th century. The solution of Fermat's Last Theorem is the most important mathematical development of the 20th century. In 1963, a schoolboy browsing in his local library stumbled across the world's greatest mathematical problem: Fermat's Last Theorem, a puzzle that ...
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The nothing that is : a natural history of zero
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Robert Kaplan
In this text, Robert Kaplan explores the peculiar course that the notion of "nothing" or its mathematical representative, zero, has taken throughout history. Forced into our awareness 4000 years ago by the need to count ever larger multitudes, zero drifted in and out of focus, disappeared for centuries, then swept from the East into the medieval ...
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Elementary number theory
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David M Burton
"Elementary Number Theory, Sixth Edition", is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from ...
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Elementary Number Theory and Its Applications
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Kenneth Rosen
The fourth edition of Kenneth Rosen's widely used and successful text, Elementary Number Theory and Its Applications, preserves the strengths of the previous editions, while enhancing the book's flexibility and depth of content coverage. The blending of classical theory with modern applications is a hallmark feature of the text. The Fourth ...
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Dr Euler's Fabulous Formula: Cures Many Mathematical Ills
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Paul J Nahin
'I used to think math was no fun 'cause I couldn't see how it was done. Now Euler's my hero. For, I now see why zero equals e[pi] i+1' - Paul Nahin, electrical engineer. In 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 ...
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An Introduction to the Theory of Numbers
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Ivan Morton Niven
This undergraduate textbook describes the computational aspects of number theory, such as techniques of factoring. Problems of varying difficulty are used throughout the text to aid comprehension.
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Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem
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Amir D. Aczel
Around 1637, the French mathematician Pierre de Fermat wrote that he had found a way to prove a seemingly simple statement: while many square numbers can be broken down into the sum of two other squares - for example, 25 (five squared) equals nine (three squared) plus 16 (four squared) - the same can never be done for cubes or any higher powers. ...
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Numerical Methods for Scientists and Engineers
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R W Hamming
This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, other topics. Revised and enlarged 2nd edition.
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Number theory and its history.
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Øystein Ore
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
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Mathematical Theory of Communication
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Claude E Shannon, Warren Weaver
Scientific knowledge grows at a phenomenal pace-but few books have had as lasting an impact or played as important a role in our modern world as "The Mathematical Theory of Communication", published originally as a paper on communication theory in the "Bell System Technical Journal" more than fifty years ago. Republished in book form shortly ...
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The Higher Arithmetic: An Introduction to the Theory of Numbers
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H Davenport
The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way ...
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From Zero to Infinity: What Makes Numbers Interesting
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by
Constance Reid
"From Zero to Infinity" is a combination of number lore, number history, and sparkling descriptions of the simply stated, but exceedingly difficult problems posed by the most ordinary numbers that first appeared in 1955, and has been kept in print continuously ever since. With the fifth edition, this classic has been updated to report on advances ...
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Asimov on numbers
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Isaac Asimov
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An Introduction to the Theory of Numbers
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by
Godfrey H Hardy, E M Wright
An Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers ...
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Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law
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Peter Woit
At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to ...
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Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers
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Dan Rockmore
In 1859 a German professor named Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the baffling occurrence of prime numbers; coming up with its proof has been the holy grail of mathematicians ever since. In "Stalking the Riemann Hypothesis," Dan Rockmore, a prominent mathematician in his own right, takes us ...
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A Friendly Introduction to Number Theory
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Joseph Silverman
For courses in Elementary Number Theory for non-math majors, for mathematics education students, and for Computer Science students. This is an introductory undergraduate text designed to entice non-math majors into learning some mathematics, while teaching them to think mathematically at the same time. Starting with nothing more than basic high ...
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Excursions in number theory
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C. Stanley Ogilvy, John T. Anderson
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. ." . . splendidly written, well selected and presented collection . . ." -- Martin Gardner.
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Mathematical Mysteries: The Beauty and Magic of Numbers
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Calvin C Clawson
An eloquent, utterly charming guide to discovering the interconnectedness of mathematics.. }Why seemingly unrelated mathematical truths are connected in simple and beautiful equations continues to stump even mathematicians. This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest ...
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Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
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John Derbyshire
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 - a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be ...
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History of the Theory of Numbers
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Leonard E Dickson
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Number Theory
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by
George E. Andrews
Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more
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