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› Find signed collectible books: 'A Budget of Trisections'
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› Find signed collectible books: 'Elementary Number Theory: Second Edition (Dover Books on Mathematics)'
Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problemssome computational and some classical, many original, and some with complete solutions.
The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat's and Wilson's theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems.
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› Find signed collectible books: 'Elementary Number Theory (A Series of books in mathematics)'
Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problemssome computational and some classical, many original, and some with complete solutions.
The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat's and Wilson's theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems.
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› Find signed collectible books: 'Elementary Number Theory (Series of Books in the Mathematical Sciences)'
Designed for a first course in number theory with minimal prerequisites, the book is designed to stimulates curiosity about numbers and their properties. Includes almost a thousand imaginative exercises and problems.
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› Find signed collectible books: 'A Guide To Elementary Number Theory (Dolciani Mathematical Expositions)'
A Guide to Elementary Number Theory is a 140 pages exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through a traditional text, some of which approach 500 pages in length. It will be especially useful to graduate student preparing for the qualifying exams.
Though Plato did not quite say, He is unworthy of the name of man who does not know which integers are the sums of two squares he came close. This Guide can make everyone more worthy.
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› Find signed collectible books: 'Is Mathematics Inevitable? A Miscellany (Spectrum)'
This is a collection of gems from the literature of mathematics that shine as brightly today as when they first appeared in print. They deserve to be seen and admired. The selections include two opposing views on the purpose of mathematics, The Strong Law of Small Numbers, the treatment of calculus in the 1771 Encyclopaedia Britannica, several proofs that the number of legs on a horse is infinite, a deserved refutation of the ridiculous Euler-Diderot anecdote, the real story of pi and the Indiana Legislature, the reason why Theodorus stopped proving that square roots were irrational when he got to the square root of 17, an excerpt from Mathematics Made Difficult; a glimpse into the mind of a calculating prodigyâ¬¦.There will be something of interest here for almost anyone interested in mathematics. Underwood Dudley is the bestselling author of several MAA books: Mathematical Cranks, Numerology, and the Trisectors. He has an Erdos number of 1.
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› Find signed collectible books: 'The Magic Numbers of the Professor (Spectrum)'
A fascinating collection of numerical curiosities and wonders. The Professor in Owen O Shea s book is the imaginary American Richard Stein. As Owen O Shea and the Professor travel through Ireland, O Shea notes the Professor s collection of amazing magic numbers in fascinating detail. His mathematical curiosities are wide ranging, concerning the 1915 sinking of the Lusitania to coincidences about Apollo 11 to the first moon walk to new numerical curiosities. The new curiosities, among many others, center on Presidents Lincoln and Kennedy, the USA and Ireland, the two World Wars, the King James Version of the Bible, and James Joyce. The Magic Numbers of the Professor reveals astonishing details about the year 1776; the year of American Independence. It contains discussions on prime numbers, gives some wonderful number patterns, and reveals many other eye-opening properties of numbers. It asks, for instance, if you know in how many different ways a US dollar can be changed. The Professor gives the answer to this and other currency questions. The number of the Beast 666, is discussed as well, as are many new equations involving that famous number all appearing here for the first time. And for those fascinated by games and gambling, a number of curious proposition bets involving dice, darts, and playing cards, and various mathematical puzzles are scattered throughout this singularly entertaining book.
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› Find signed collectible books: 'Mathematical Cranks (Spectrum)'
A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly unique book. It is written with wit and style and is a part of folk mathematics.
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› Find signed collectible books: 'Numerology: Or, What Pythagoras Wrought (Spectrum)'
Numerology is the delusion that numbers have power over events. It is a descendent of number mysticism, the belief the contemplation of numbers can give mystical and non-rational insights into life, the universe and everything. 2500 years ago, Pythagoras originated number mysticism, crediting certain numbers with characteristics, through numerology, is a more recent invention that allots numbers, hence characteristics, to individuals. Underwood Dudley outlines here the history of number mysticism and numerology and gives many examples, including biorhythyms, Bible-numberists, pyramidologists and a plethora of others. His message is that numbers do indeed have power, but over minds not events. This is the only book that exposes this particular human folly, and requires no mathematical background beyond knowledge of numbers.
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› Find signed collectible books: 'The Trisectors (Spectrum)'
Underwood Dudley is well known for his collection of books on mathematical cranks. Here he offers yet another - angle trisectors. It is impossible to trisect angles with straightedge and compass alone, but many people try and think they have succeeded. This book is about angle trisections and the people who attempt them. According to Dudley: 'Hardly any mathematical training is necessary to read this book. There is a little trigonometry here and there, but it may be safely skipped. There are hardly any equations. There are no exercises and there will be no final examination. The worst victim of mathematics anxiety can read this book with profit and dry palms. It is quite suitable to give as a present.'
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› Find signed collectible books: 'Die Macht der Zahl: Was die Numerologie uns weismachen will (German Edition)'
Für viele Menschen besitzen die Zahlen eine Bedeutung, die über den Zahlenwert hinausgeht, sie haben eine innere Natur und einen magischen Charakter. So weisen Numerologen und Zahlenmystiker den Zahlen eine aussergewöhnliche Macht über Ereignisse zu. Ein Pyramidologe zum Beispiel vermisst seine Pyramide und schließt aus den Zahlen, dass die Welt am 20. August 1953 untergeht. Die Börsenkurse schwanken auf und ab, weil die Fibonaccizahlen sie dazu bringen, die Bibel ist voller Siebener und Dreizehner, weil Gott es so gewollt hat, und Biorhythmiker behaupten, die Menschen oszillieren in Zyklen von 23, 28 und 33 Tagen, und folglich sei unser Verhalten von diesen Ziffern bestimmt. Es findet sich kaum ein Bereich, auf den nicht irgendwelche Zahlen angeblich Einfluss haben. Underwood Dudley hat sich ihren Geheimsinn näher angesehen und begleitet in seinem unterhaltsam zu lesendem Buch den Leser auf eine historische Tour durch die Numerologie. Angefangen mit Pythagoras, über die Neupythagoräer, die Pyramidologen, die biblischen und Shakespeares Zahlen, wird der Bogen bis hin zu modernen Zahlenmystikern gespannt, die eine geheimnisvolle Zahlenfolge etwa auch im UPC-Strichcode zu finden glauben. Dabei lässt Dudley den Leser nicht im Zweifel, wie die Mathematik die Numerologie sieht: Diesen Aberglauben mit den Mitteln der Vernunft zu bekämpfen, ist für sie und den Autor die vordringlichste Aufgabe.
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› Find signed collectible books: 'Mathematik zwischen Wahn und Witz: Trugschlüsse, falsche Beweise und die Bedeutung der Zahl 57 für die amerikanische Geschichte (German Edition)'
More editions of Mathematik zwischen Wahn und Witz: Trugschlüsse, falsche Beweise und die Bedeutung der Zahl 57 für die amerikanische Geschichte (German Edition):
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