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Introduction to Analytic Number Theory de Tom M. Apostol

Introduction to Analytic Number Theory: Undergraduate Texts in Mathematics

Autor Tom M. Apostol
en Limba Engleză Paperback – dec 2010

"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

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Paperback (1) 39298 lei  3-5 săpt. +2429 lei  5-11 zile
  Springer – dec 2010 39298 lei  3-5 săpt. +2429 lei  5-11 zile
Hardback (1) 39681 lei  3-5 săpt. +3445 lei  5-11 zile
  Springer – 11 mai 1976 39681 lei  3-5 săpt. +3445 lei  5-11 zile

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Specificații

ISBN-13: 9781441928054
ISBN-10: 1441928057
Pagini: 356
Ilustrații: XII, 340 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:Softcover reprint of hardcover 1st ed. 1976
Editura: Springer
Colecția Springer
Seria Undergraduate Texts in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Lower undergraduate

Cuprins

Historical Introduction.- 1 The Fundamental Theorem of Arithmetic.- 2 Arithmetical Functions and Dirichlet Multiplication.- 3 Averages of Arithmetical Functions.- 4 Some Elementary Theorems on the Distribution of Prime Numbers.- 5 Congruences.- 6 Finite Abelian Groups and Their Characters.- 7 Dirichlet’s Theorem on Primes in Arithmetic Progressions.- 8 Periodic Arithmetical Functions and Gauss Sums.- 9 Quadratic Residues and the Quadratic Reciprocity Law.- 10 Primitive Roots.- 11 Dirichlet Series and Euler Products.- 12 The Functions ?(s) and L(s, ?).- 13 Analytic Proof of the Prime Number Theorem.- 14 Partitions.- Index of Special Symbols.

Recenzii

From the reviews:
T.M. Apostol
Introduction to Analytic Number Theory
"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. The presentation is invariably lucid and the book is a real pleasure to read."
—MATHEMATICAL REVIEWS
“After reading Introduction to Analytic Number Theory one is left with the impression that the author, Tom M. Apostal, has pulled off some magic trick. … I must admit that I love this book. The selection of topics is excellent, the exposition is fluid, the proofs are clear and nicely structured, and every chapter contains itsown set of … exercises. … this book is very readable and approachable, and it would work very nicely as a text for a second course in number theory.” (Álvaro Lozano-Robledo, The Mathematical Association of America, December, 2011)