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Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF

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Author: Tom M. Apostol
Publisher: Springer Science & Business Media
ISBN: 1475755791
Size: 59.48 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 340
View: 1872

"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

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Author: Tom M. Apostol
Publisher:
ISBN: 9789624300352
Size: 17.29 MB
Format: PDF, ePub, Docs
Category : Arithmetic functions
Languages : en
Pages : 338
View: 1014



Introduction To Analytic Number Theory

Introduction To Analytic Number Theory PDF

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Author: Apostol
Publisher:
ISBN: 9788184895216
Size: 41.40 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages : 352
View: 3657



Einf Hrung In Die Analytische Zahlentheorie

Einf  hrung in die Analytische Zahlentheorie PDF

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Author: Komaravolu Chandrasekharan
Publisher: Springer-Verlag
ISBN: 3540348557
Size: 40.30 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : de
Pages : 203
View: 4091



Introduction To Analytic Number Theory

Introduction to Analytic Number Theory PDF

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Author: Komaravolu Chandrasekharan
Publisher: Springer
ISBN: 9783642461262
Size: 11.62 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 144
View: 2372

This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared for the most part by assistants, have appeared in German. This book follows the same general plan as those notes, though in style, and in text (for instance, Chapters III, V, VIII), and in attention to detail, it is rather different. Its 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 a subsequent inquiry into deeper questions. It is pub lished in this series because of the interest evinced by Professor Beno Eckmann. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions. Professor Raghavan Narasimhan has helped me, time and again, with illuminating comments. Dr. Harold Diamond has read the proofs, and helped me to remove obscurities. I have to thank them all. K.C.


Introduction To Analytic And Probabilistic Number Theory

Introduction to Analytic and Probabilistic Number Theory PDF

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Author: GĂ©rald Tenenbaum
Publisher: American Mathematical Soc.
ISBN: 082189854X
Size: 35.50 MB
Format: PDF, ePub
Category : Number theory
Languages : en
Pages : 629
View: 3662

This book provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classical contents of undergraduate courses, it offers to students and young researchers a systematic and consistent account on the subject. It is also a convenient tool for professional mathematicians, who may use it for basic references concerning many fundamental topics. Deliberately placing the methods before the results, the book will be of use beyond the particular material addressed directly. Each chapter is complemented with bibliographic notes, useful for descriptions of alternative viewpoints, and detailed exercises, often leading to research problems. This third edition of a text that has become classical offers a renewed and considerably enhanced content, being expanded by more than 50 percent. Important new developments are included, along with original points of view on many essential branches of arithmetic and an accurate perspective on up-to-date bibliography. The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate. --Mathematical Reviews


Analytic Number Theory

Analytic Number Theory PDF

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Author: Donald J. Newman
Publisher: Springer Science & Business Media
ISBN: 0387983082
Size: 59.47 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 76
View: 1692

This is a concise introduction to analytic number theory. The author includes plenty of clever and interesting examples. He covers an amazing amount of material in just a few pages, despite his leisurely pace and emphasis on readability. The book is suitable for a graduate course in analytic number theory.


Geometrische Und Analytische Zahlentheorie

Geometrische und analytische Zahlentheorie PDF

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Author: Edmund Hlawka
Publisher:
ISBN:
Size: 42.44 MB
Format: PDF, Mobi
Category : Geometrie der Zahlen
Languages : de
Pages : 194
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Elementare Zahlentheorie

Elementare Zahlentheorie PDF

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Author: R. Remmert
Publisher: Springer-Verlag
ISBN: 3034865945
Size: 16.82 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : de
Pages : 276
View: 659



Problems In Analytic Number Theory

Problems in Analytic Number Theory PDF

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Author: U.S.R. Murty
Publisher: Springer Science & Business Media
ISBN: 1475734417
Size: 80.49 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 456
View: 3801

"In order to become proficient in mathematics, or in any subject," writes Andre Weil, "the student must realize that most topics in volve only a small number of basic ideas. " After learning these basic concepts and theorems, the student should "drill in routine exercises, by which the necessary reflexes in handling such concepts may be ac quired. . . . There can be no real understanding of the basic concepts of a mathematical theory without an ability to use them intelligently and apply them to specific problems. " Weil's insightfulobservation becomes especially important at the graduate and research level. It is the viewpoint of this book. Our goal is to acquaint the student with the methods of analytic number theory as rapidly as possible through examples and exercises. Any landmark theorem opens up a method of attacking other problems. Unless the student is able to sift out from the mass of theory the underlying techniques, his or her understanding will only be academic and not that of a participant in research. The prime number theorem has given rise to the rich Tauberian theory and a general method of Dirichlet series with which one can study the asymptotics of sequences. It has also motivated the development of sieve methods. We focus on this theme in the book. We also touch upon the emerging Selberg theory (in Chapter 8) and p-adic analytic number theory (in Chapter 10).