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P Adic Numbers P Adic Analysis Zeta 2ND Edition

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P Adic Numbers P Adic Analysis Zeta 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).

Synopsis:

This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints.

Synopsis:

The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.

Table of Contents

1: p-adic numbers. 2: p-adic interpolation of the Riemann zeta- function. 3: Building up _. 4: p-adic power series. 5: Rationality of the zeta-function of a set of equations over a finite field.

Product Details

ISBN:
9780387960173
Author:
Koblitz, Neal
Publisher:
Springer
Location:
New York :
Subject:
Mathematical Analysis
Subject:
Number Theory
Subject:
P-adic analysis
Subject:
p-adic numbers.
Subject:
Functions, Zeta.
Subject:
Analysis
Subject:
Functions
Subject:
Numbers.
Subject:
Zetafunktion
Subject:
p-adische Analysis
Subject:
p-adische Zahl
Subject:
Mathematics-Number Theory
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 1984. Corr. 2nd printing
Series:
Graduate texts in mathematics ;
Series Volume:
58
Publication Date:
19840723
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
165
Dimensions:
235 x 155 mm 930 gr

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Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory
Science and Mathematics » Physics » Relativity Theory

P Adic Numbers P Adic Analysis Zeta 2ND Edition New Hardcover
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Product details 165 pages Springer-Verlag - English 9780387960173 Reviews:
"Synopsis" by , This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints.
"Synopsis" by , The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.
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