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 problems—some 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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Underwood Dudley is Professor Emeritus of Mathematics at DePauw University.

**Underwood Dudley: Cranking Out Classics**Any editor involved with publishing in mathematics for any length of time is familiar with the phenomena — the receipt, usually via snail mail, of generally handwritten, and generally interminable, really, really interminable, theses on some bizarre and unprovable point — theses hoping, trying against all hope, demanding in fact, to prove the unprovable, to rewrite some fundamental part of mathematics, often in my experience to demonstrate for one final time that, for example, Einstein didn't know what he was talking about — in short, the work of a mathematical crank!

Underwood Dudley (Woody to everyone in the math world), Professor Emeritus, Depauw University, provided an inestimable service to all math editors in the universe by demonstrating that they are not alone in their experience. His unique and wonderful book *Mathematical Cranks* (The Mathematics Association of America, 1992) is a readable feast, especially for those who have been on the receiving end of mathematical crank mail. We're all in Woody's debt for having assembled this collection of failed squared circles, angle trisections, and much, much more.

However, chronicling the cranks — as enjoyable as it may have been to the rest of us — is hardly a career, Woody has written many other books as well. And any reader who wants to check out a totally uncranky, reader- and student-friendly, time-tested basic text in *Elementary Number Theory* could hardly do better than to look at the Dover edition of Woody's book by that name, which started its career with Freeman in 1969 and which Dover was pleased to reprint in 2008.

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**Book Description **Dover Publications Inc., United States, 2008. Paperback. Book Condition: New. 2nd edition. Language: English . Brand New Book. 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 problems some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory anddevelop 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. Bookseller Inventory # AAC9780486469317

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**Book Description **Dover Publications Inc., United States, 2008. Paperback. Book Condition: New. 2nd edition. Language: English . Brand New Book. 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 problems some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory anddevelop 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. Bookseller Inventory # AAC9780486469317

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**Book Description **Dover Publications Inc., United States, 2008. Paperback. Book Condition: New. 2nd edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 problems some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory anddevelop 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. Bookseller Inventory # BTE9780486469317

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**Book Description **Paperback. Book Condition: New. 2nd. Paperback. Minimal prerequisites make this text ideal for a first course in number theory. Written in a lively, engaging style by the author of popular mathematics books, it features nearly 1,000 ima.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 249 pages. 0.286. Bookseller Inventory # 9780486469317

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**Book Description **Dover Publications. Paperback. Book Condition: New. 272 pages. Dimensions: 8.5in. x 5.4in. x 0.6in.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 anddevelop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermats and Wilsons 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9780486469317

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