Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF
Author: Tom M. Apostol
Publisher: Springer Science & Business Media
ISBN: 1475755791
Size: 69.31 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 340
View: 819

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Book Description:

Introduction To Analytic Number Theory

by Tom M. Apostol, Introduction To Analytic Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To Analytic Number Theory books, "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS







Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF
Author: A. G. Postnikov
Publisher: American Mathematical Soc.
ISBN: 0821813498
Size: 64.36 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 320
View: 4475

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Book Description:

Introduction To Analytic Number Theory

by A. G. Postnikov, Introduction To Analytic Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To Analytic Number Theory books, Aimed at a level between textbooks and the latest research monographs, this book is directed at researchers, teachers, and graduate students interested in number theory and its connections with other branches of science. Choosing to emphasize topics not sufficiently covered in the literature, the author has attempted to give as broad a picture as possible of the problems of analytic number theory.







Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF
Author: Komaravolu Chandrasekharan
Publisher:
ISBN:
Size: 22.50 MB
Format: PDF, Kindle
Category : Number theory
Languages : en
Pages : 140
View: 2670

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Book Description:

Introduction To Analytic Number Theory

by Komaravolu Chandrasekharan, Introduction To Analytic Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To Analytic Number Theory books, "[This book's] purpose is to introduce the non-specialist to some of the fundamental results in the theory of numbers, to show how analytical methods of proof fit into the theory, and to prepare the ground for subsequent inquiry into deeper questions"--Pref.







Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF
Author: Tom Mike Apostol
Publisher: Springer
ISBN: 3662285797
Size: 24.58 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 340
View: 6773

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Book Description:

Introduction To Analytic Number Theory

by Tom Mike Apostol, Introduction To Analytic Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To Analytic Number Theory books, This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.







Introduction To Analytic And Probabilistic Number Theory

Introduction to Analytic and Probabilistic Number Theory PDF
Author: G. Tenenbaum
Publisher: Cambridge University Press
ISBN: 9780521412612
Size: 48.89 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 448
View: 5146

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Book Description:

Introduction To Analytic And Probabilistic Number Theory

by G. Tenenbaum, Introduction To Analytic And Probabilistic Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To Analytic And Probabilistic Number Theory books, This is a self-contained introduction to analytic methods in number theory, assuming on the part of the reader only what is typically learned in a standard undergraduate degree course. It offers to students and those beginning research a systematic and consistent account of the subject but will also be a convenient resource and reference for more experienced mathematicians. These aspects are aided by the inclusion at the end of each chapter a section of bibliographic notes and detailed exercises.







Vorlesungen Ber Zahlentheorie

Vorlesungen   ber zahlentheorie PDF
Author: Peter Gustav Lejeune Dirichlet
Publisher:
ISBN:
Size: 65.14 MB
Format: PDF, Mobi
Category : Number theory
Languages : de
Pages : 657
View: 2016

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Book Description:

Vorlesungen Ber Zahlentheorie

by Peter Gustav Lejeune Dirichlet, Vorlesungen Ber Zahlentheorie Book available in PDF, EPUB, Mobi Format. Download Vorlesungen Ber Zahlentheorie books,







A Primer Of Analytic Number Theory

A Primer of Analytic Number Theory PDF
Author: Jeffrey Stopple
Publisher: Cambridge University Press
ISBN: 9780521012539
Size: 14.87 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 383
View: 6128

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Book Description:

A Primer Of Analytic Number Theory

by Jeffrey Stopple, A Primer Of Analytic Number Theory Book available in PDF, EPUB, Mobi Format. Download A Primer Of Analytic Number Theory books, An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.







Introduction To P Adic Analytic Number Theory

Introduction to  p  adic Analytic Number Theory PDF
Author: M. Ram Murty
Publisher: American Mathematical Soc.
ISBN: 0821847740
Size: 40.46 MB
Format: PDF
Category : Number theory
Languages : en
Pages : 149
View: 6376

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Book Description:

Introduction To P Adic Analytic Number Theory

by M. Ram Murty, Introduction To P Adic Analytic Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To P Adic Analytic Number Theory books, This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises included, it will acquaint the non-expert to the basic ideas of the theory and encourage the novice to enter this fertile field of research. The main focus of the book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences. These congruences are then used to construct the $p$-adic analog of the Riemann zeta function and $p$-adic analogs of Dirichlet's $L$-functions. Featured is a chapter on how to apply the theory of Newton polygons to determine Galois groups of polynomials over the rational number field. As motivation for further study, the final chapter introduces Iwasawa theory.