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An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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Author : G. H. Hardy
language : en
Publisher: Oxford University Press
Release Date : 2008-07-31

An Introduction To The Theory Of Numbers written by G. H. Hardy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Mathematics categories.


The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.





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Author :
language : zh-CN
Publisher:
Release Date : 2007

written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Number theory categories.


本书内容包括素数、无理数、同余、费马定理、连分数、不定方程、二次域、算术函数、分化等。



An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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Author : Ivan Niven
language : en
Publisher:
Release Date : 1968

An Introduction To The Theory Of Numbers written by Ivan Niven and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Number theory categories.




Introduction To Number Theory


Introduction To Number Theory
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Author : Richard Michael Hill
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-12-04

Introduction To Number Theory written by Richard Michael Hill and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Mathematics categories.


'Probably its most significant distinguishing feature is that this book is more algebraically oriented than most undergraduate number theory texts.'MAA ReviewsIntroduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers.The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions.Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.



An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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Author : Leo Moser
language : en
Publisher: The Trillia Group
Release Date : 2004

An Introduction To The Theory Of Numbers written by Leo Moser and has been published by The Trillia Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


"This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description



An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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Author : Ivan Niven
language : en
Publisher: John Wiley & Sons
Release Date : 1991-09-03

An Introduction To The Theory Of Numbers written by Ivan Niven and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-03 with Mathematics categories.


The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems.



A Concise Introduction To The Theory Of Numbers


A Concise Introduction To The Theory Of Numbers
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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 1984-11-29

A Concise Introduction To The Theory Of Numbers written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-11-29 with Mathematics categories.


In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.



A Classical Introduction To Modern Number Theory


A Classical Introduction To Modern Number Theory
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Author : Kenneth Ireland
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A Classical Introduction To Modern Number Theory written by Kenneth Ireland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.



An Illustrated Theory Of Numbers


An Illustrated Theory Of Numbers
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Author : Martin H. Weissman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-15

An Illustrated Theory Of Numbers written by Martin H. Weissman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Education categories.


News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.



An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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Author : Ivan Niven
language : en
Publisher:
Release Date : 1993

An Introduction To The Theory Of Numbers written by Ivan Niven and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Number theory categories.