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About this book :-
Introduction to Analytic Number Theory (2E) written by Tom M. Apostol .
This text book evolved from a course offered at the California Institute of Technology du ring the last 25 years. It provides an introduction to analytic number theory suitable for undergraduates with so me background in advanced calculus, but with no previous knowledge of number theory. Actually, a great deal of the book requires no calculus at all and could profitably be studied by sophisticated high school students.
Number theory is such a vast and rich field that a one-year course cannot do justice to all its parts. The choice of topics included here is intended to provide so me variety and some depth. Problems which have fascinated generations of professional and amateur mathematicians are discussed together with so me of the techniques for solving them.
(Tom M. Apostol)
Book Detail :-
Title: Introduction to Analytic Number Theory
Author(s): Tom M. Apostol
Publisher: Springer-Verlag Berlin Heidelberg
Series: Undergraduate Texts in Mathematics
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About Author :-
The author Tom M. Apostol joined the Caltech faculty in 1950 and is Professor of Mathematics, Emeritus. He is internationally known for his books on Calculus, Analysis, and Analytic Number Theory, (translated into 7 languages), and for creating Project MATHEMATICS!, a video series that brings mathematics to life with computer animation, live action, music, and special effects. The videos have won first-place honors at a dozen international festivals, and were translated into Hebrew, Portuguese, French, and Spanish. Apostol has published 102 research papers, has written two chapters for the Digital Library of Mathematical Functions (2010), and is coauthor of three texts for the physics telecourse.
He has received several awards for research and teaching. In 1978 he was a visiting professor at the University of Patras, Greece, and in 2001 was elected a Corresponding Member of the Academy of Athens, where he delivered his inaugural lecture in Greek. In 2012 he was selected to be a Fellow of the American Mathematical Society.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Mathematical Analysis, 2E, Tom M. Apostol
• Download PDF Mathematical Analysis, 2E, Solution Manual, Tom M. Apostol
• Download PDF Introduction to Analytic Number Theory (2E) by Tom M. Apostol
• Download PDF Introduction to Analytic Number Theory (Solutions Manual) by Tom M. Apostol
• Download PDF Introduction to Analytic Number Theory by Tom M. Apostol
• Download PDF Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol
• Download PDF New Horizons in Geometry, Tom M. Apostol, Mamikon A Mnatsakanian
• Download PDF Selected Papers on Precalculus, Tom M. Apostol
• Download PDF Calculus I: One-Variable Calculus, with an Introduction to Linear Algebra, 2E, Tom M. Apostol
• Download PDF Calculus II: Multi-Variable Calculus & Linear Algebra, with Applications to Diff. Equations & Probability, Tom M. Apostol
• Download PDF Multimedia Tools for Communicating Mathematics by Tom M. Apostol, Jonathan Borwein, Maria H. Morales, José F. Rodrigues, Konrad Polthier
• Download PDF The Mechanical Universe: Mechanics and Heat by Steven C. Frautschi, Richard P. Olenick, Tom M. Apostol, David L. Goodstein
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Book Contents :-
Introduction to Analytic Number Theory (2E) written by Tom M. Apostol cover the following topics. '
1. Theorem of Arithmetic
2. Arithmetical Functions and Dirichlet Multiplication
3. A verages of Arithmetical Functions
4. Some Elementary Theorems on the Distribution of Prime Numbers
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, X)
13. Analytic Proof of the Prime Number Theorem
Index of Special Symbols
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