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Introduction to Classical Mathematics I

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Cover of 'Introduction to Classical Mathematics I'

Table of Contents

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    Book Overview
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    Chapter 1 Congruences
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    Chapter 2 Quadratic forms
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    Chapter 3 Division of the circle (Cyclotomy)
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    Chapter 4 Theory of surfaces
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    Chapter 5 Harmonic analysis
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    Chapter 6 Prime numbers in arithmetic progressions
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    Chapter 7 Theory of algebraic equations
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    Chapter 8 The beginnings of complex function theory
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    Chapter 9 Entire functions
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    Chapter 10 Riemann surfaces
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    Chapter 11 Meromorphic differentials and functions on closed Riemann surfaces
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    Chapter 12 The theorems of Abel and Jacobi
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    Chapter 13 Elliptic functions
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    Chapter 14 Riemannian geometry
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    Chapter 15 On the number of primes less than a given magnitude
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    Chapter 16 The origins of algebraic number theory
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    Chapter 17 Field theory
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    Chapter 18 Dedekind’s theory of ideals
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    Chapter 19 The ideal class group and the group of units
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    Chapter 20 The Dedekind ς-function
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    Chapter 21 Quadratic forms and quadratic fields
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    Chapter 22 The different and the discriminant
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    Chapter 23 Theory of algebraic functions of one variable
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    Chapter 24 The geometry of numbers
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    Chapter 25 Normal extensions of algebraic number- and function fields
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    Chapter 26 Entire functions with growth of finite order
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    Chapter 27 Proof of the prime number theorem
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    Chapter 28 Combinatorial topology
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    Chapter 29 The idea of a Riemann surface
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    Chapter 30 Uniformisation
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Title
Introduction to Classical Mathematics I
Published by
Springer Netherlands, December 2012
DOI 10.1007/978-94-011-3218-3
ISBNs
978-0-7923-1238-3, 978-9-40-113218-3
Authors

Koch, Helmut

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Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 100%
Readers by discipline Count As %
Mathematics 1 100%