Atiyah-Singer theorem and elementary number theory
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Atiyah-Singer theorem and elementary number theory by Friedrich Hirzebruch

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Published by Publish or Perish in Boston .
Written in English

Subjects:

  • Number theory.,
  • Topology.

Book details:

Edition Notes

Bibliography: p. 256-262.

SeriesMathematics lecture series -- 3
ContributionsZagier, Don Bernard (jt. author)
Classifications
LC ClassificationsQA611 .H667
The Physical Object
Paginationxii, 262 p. ;
Number of Pages262
ID Numbers
Open LibraryOL14824106M

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The Atiyah-Singer Theorem & Elementary Number Theory book. Read reviews from world’s largest community for readers. So the whole book consists of using the Atiyah-Singer theorem, one of the deepest and hardest results in mathematics, to prove a series of perfectly elementary identities which can be proved much more easily by direct means. This may seem to be a . The Atiyah-Singer Theorem and Elementary Number Theory 作者: F. Hirzebruch / D. Zagier 出版社: Publish or Perish 出版年: 页数: 定价: USD 装帧: Paperback ISBN: Elementary Number Theory: Second Edition (Dover Books on Mathematics): Underwood Dudley: : Books/5(45).

This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and by: For example, here are some problems in number theory that remain unsolved. (Recall that a prime number is an integer greater than 1 whose only positive factors are 1 and the number itself.) Note that these problems are simple to state — just because a topic is accessibile does not mean that it is easy. 1. These notes serve as course notes for an undergraduate course in number the-ory. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be ad-dressed in a course in number theory. This book treats the Atiyah-Singer index theorem using heat equation methods. The heat equation gives a local formula for the index of any elliptic complex. We use invariance theory to identify the integrand of the index theorem for the four classical elliptic complexes with the invari-ants of the heat equation.

  The Atiyah-Singer theorem and elementary number theory Hirzebruch, Friedrich and Zagier, Don () The Atiyah-Singer theorem and elementary number theory. 3. Sobolev Spaces and Fourier Theory 19 4. Estimates for Elliptic Operators 22 5. The Symbol 25 6. Elliptic Regularity and the Hodge Theorem 27 7. A More General Version of the Elliptic Package 30 Chapter 3. C*-Algebras and K-theory 37 1. Review of K-Theory 37 2. C*-Algebra K-Theory 38 3. Graded Algebras 41 4. K-Theory and Index Theory 44 5. A File Size: KB. number theory: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. The Atiyah-Singer theorem and elementary number theory by Friedrich Hirzebruch; 6 editions; First published in ; Subjects: Number theory, Fixed point theory, Topology, Homology theory.