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The Higher Arithmetic

The Higher Arithmetic Author H. Davenport
ISBN-10 0521634466
Release 1999-12-09
Pages 241
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Seventh edition of a classic elementary number theory book.



The Higher Arithmetic

The Higher Arithmetic Author H. Davenport
ISBN-10 9781139643528
Release 2008-10-23
Pages
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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 that does not require the reader to have an in-depth knowledge of the theory of numbers but also touches upon matters of deep mathematical significance. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers and number theory, and primality testing. Written to be accessible to the general reader, with only high school mathematics as prerequisite, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.



The Higher Arithmetic

The Higher Arithmetic Author H. Davenport
ISBN-10 9780521722360
Release 2008-10-23
Pages 239
Download Link Click Here

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 that does not require the reader to have an in-depth knowledge of the theory of numbers but also touches upon matters of deep mathematical significance. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers and number theory, and primality testing. Written to be accessible to the general reader, with only high school mathematics as prerequisite, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.



The Higher Arithmetic

The Higher Arithmetic Author Harold Davenport
ISBN-10 OCLC:610665239
Release 1962
Pages 172
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The Higher Arithmetic has been writing in one form or another for most of life. You can find so many inspiration from The Higher Arithmetic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Higher Arithmetic book for free.



Higher Arithmetic

Higher Arithmetic Author J. H. Davenport
ISBN-10 OCLC:59915551
Release 1992
Pages 189
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Higher Arithmetic has been writing in one form or another for most of life. You can find so many inspiration from Higher Arithmetic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Higher Arithmetic book for free.



An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers Author Godfrey Harold Hardy
ISBN-10 0199219869
Release 2008-07-31
Pages 621
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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. This Sixth Edition has been extensively revised and updated to guide today's students through the key milestones and developments in number theory. Updates include a chapter on one of the mostimportant developments in number theory -- modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader and the clarityof exposition is retained throughout making this textbook highly accessible to undergraduates in mathematics from the first year upwards.



The Higher Arithmetic

The Higher Arithmetic Author Harold Davenport (Mathematician, Great Britain)
ISBN-10 OCLC:610665239
Release 1971
Pages
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The Higher Arithmetic

The Higher Arithmetic Author Horace W. Davenport
ISBN-10 OCLC:318168435
Release 1952
Pages 172
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Higher Arithmetic

Higher Arithmetic Author Harold M. Edwards
ISBN-10 0821844393
Release 2008
Pages 210
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Although number theorists have sometimes shunned and even disparaged computation in the past, today's applications of number theory to cryptography and computer security demand vast arithmetical computations. These demands have shifted the focus of studies in number theory and have changed attitudes toward computation itself. The important new applications have attracted a great many students to number theory, but the best reason for studying the subject remains what it was when Gauss published his classic Disquisitiones Arithmeticae in 1801: Number theory is the equal of Euclidean geometry--some would say it is superior to Euclidean geometry--as a model of pure, logical, deductive thinking. An arithmetical computation, after all, is the purest form of deductive argument. Higher Arithmetic explains number theory in a way that gives deductive reasoning, including algorithms and computations, the central role. Hands-on experience with the application of algorithms to computational examples enables students to master the fundamental ideas of basic number theory. This is a worthwhile goal for any student of mathematics and an essential one for students interested in the modern applications of number theory. Harold M. Edwards is Emeritus Professor of Mathematics at New York University. His previous books are Advanced Calculus (1969, 1980, 1993), Riemann's Zeta Function (1974, 2001), Fermat's Last Theorem (1977), Galois Theory (1984), Divisor Theory (1990), Linear Algebra (1995), and Essays in Constructive Mathematics (2005). For his masterly mathematical exposition he was awarded a Steele Prize as well as a Whiteman Prize by the American Mathematical Society.



A Comprehensive Course in Number Theory

A Comprehensive Course in Number Theory Author Alan Baker
ISBN-10 9781107019010
Release 2012-08-23
Pages 251
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The author's classic concise introduction now fully updated and developed to suit courses extending from primers to introductions to research.



Introduction to the Theory of Numbers

Introduction to the Theory of Numbers Author Harold N. Shapiro
ISBN-10 9780486466699
Release 1983
Pages 459
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Starting with the fundamentals of number theory, this text advances to an intermediate level. Author Harold N. Shapiro, Professor Emeritus of Mathematics at New York University's Courant Institute, addresses this treatment toward advanced undergraduates and graduate students. Selected chapters, sections, and exercises are appropriate for undergraduate courses. The first five chapters focus on the basic material of number theory, employing special problems, some of which are of historical interest. Succeeding chapters explore evolutions from the notion of congruence, examine a variety of applications related to counting problems, and develop the roots of number theory. Two "do-it-yourself" chapters offer readers the chance to carry out small-scale mathematical investigations that involve material covered in previous chapters.



A Concise Introduction to the Theory of Numbers

A Concise Introduction to the Theory of Numbers Author Alan Baker
ISBN-10 0521286549
Release 1984-11-29
Pages 95
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In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.



Introduction to Number Theory

Introduction to Number Theory Author L.-K. Hua
ISBN-10 9783642681301
Release 2012-12-06
Pages 574
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Introduction to Number Theory has been writing in one form or another for most of life. You can find so many inspiration from Introduction to Number Theory also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to Number Theory book for free.



AN INTRODUCTION TO THE THEORY OF NUMBERS 5TH ED

AN INTRODUCTION TO THE THEORY OF NUMBERS  5TH ED Author Ivan Niven
ISBN-10 8126518111
Release 2008-08-01
Pages 545
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· Divisibility· Congruences· Quadratic Reciprocity and Quadratic Forms· Some Functions of Number Theory· Some Diophantine Equations· Farey Fractions and Irrational Numbers· Simple Continued Fractions· Primes and Multiplicative Number Theory· Algebraic Numbers· The Partition Function · The Density of Sequences of Integers



Elementary Theory of Numbers

Elementary Theory of Numbers Author William Judson LeVeque
ISBN-10 0486663485
Release 1962
Pages 132
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Superb introduction to Euclidean algorithm and its consequences, congruences, continued fractions, powers of an integer modulo m, Gaussian integers, Diophantine equations, more. Problems, with answers. Bibliography.



Number Theory Fermat s dream

Number Theory  Fermat s dream Author Kazuya Kato
ISBN-10 082180863X
Release 2000
Pages 154
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This is the English translation of the original Japanese book. In this volume, ``Fermat's Dream'', core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.



p adic Numbers

p adic Numbers Author Fernando Gouvea
ISBN-10 9783642590580
Release 2012-12-06
Pages 306
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There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers. From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE