Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF
Author: Tom M. Apostol
Publisher: Springer Science & Business Media
ISBN: 1475755791
Size: 51.94 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 340
View: 5059

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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: 59.20 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 320
View: 2123

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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 P Adic Analytic Number Theory

Introduction to  p  adic Analytic Number Theory PDF
Author: M. Ram Murty
Publisher: American Mathematical Soc.
ISBN: 0821847740
Size: 11.20 MB
Format: PDF
Category : Number theory
Languages : en
Pages : 149
View: 6814

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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.







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: 32.30 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 448
View: 7301

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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 book is a systematic introduction to analytic methods in number theory, and assumes as a prerequisite only what is taught in a standard undergraduate course. The author aids readers by including a section of bibliographic notes and detailed exercises at the end of each chapter. Tenenbaum has emphasized methods rather than results, so readers should be able to tackle more advanced material than is included here. Moreover, he covers developments on many new and unpublished topics, such as: the Selberg-Delange method; a version of the Ikehara-Ingham Tauberian theorem; and a detailed exposition of the arithmetical use of the saddle-point method.







Introduction To Number Theory

Introduction to Number Theory PDF
Author: Anthony Vazzana
Publisher: CRC Press
ISBN: 1584889381
Size: 10.73 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 536
View: 2628

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Book Description:

Introduction To Number Theory

by Anthony Vazzana, Introduction To Number Theory Book available in PDF, EPUB, Mobi Format. Download Introduction To Number Theory books, One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.







A Primer Of Analytic Number Theory

A Primer of Analytic Number Theory PDF
Author: Jeffrey Stopple
Publisher: Cambridge University Press
ISBN: 9780521012539
Size: 33.23 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 383
View: 3606

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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.







Analytic Number Theory An Introductory Course

Analytic Number Theory  An Introductory Course PDF
Author: Bateman Paul Trevier
Publisher: World Scientific
ISBN: 9814365564
Size: 34.34 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 376
View: 6311

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Book Description:

Analytic Number Theory An Introductory Course

by Bateman Paul Trevier, Analytic Number Theory An Introductory Course Book available in PDF, EPUB, Mobi Format. Download Analytic Number Theory An Introductory Course books, This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.Comments and corrigenda for the book are found at www.math.uiuc.edu/~diamond/.







Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF
Author: Komaravolu Chandrasekharan
Publisher:
ISBN:
Size: 35.96 MB
Format: PDF, Kindle
Category : Number theory
Languages : en
Pages : 140
View: 4872

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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 Calculus And Classical Analysis

Introduction to Calculus and Classical Analysis PDF
Author: Omar Hijab
Publisher: Springer Science & Business Media
ISBN: 0387693165
Size: 60.67 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 342
View: 2546

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Book Description:

Introduction To Calculus And Classical Analysis

by Omar Hijab, Introduction To Calculus And Classical Analysis Book available in PDF, EPUB, Mobi Format. Download Introduction To Calculus And Classical Analysis books, Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.