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e-Book Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics) download

e-Book Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics) download

by Helmut Koch

ISBN: 0821820540
ISBN13: 978-0821820544
Language: English
Publisher: American Mathematical Society (June 6, 2000)
Pages: 368
Category: Science and Mathematics
Subategory: Other

ePub size: 1402 kb
Fb2 size: 1129 kb
DJVU size: 1165 kb
Rating: 4.7
Votes: 894
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Number Theory: Algebraic. has been added to your Cart. Series: Graduate Studies in Mathematics (Book 24). Hardcover: 368 pages. Publisher: American Mathematical Society (June 6, 2000).

Number Theory: Algebraic.

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). These books elaborate on several theories from notable personas, such as Martin Schechter and Terence Tao, in the mathematical industry. The books in this series are published only in hardcover. 1 The General Topology of Dynamical Systems, Ethan Akin (1993, ISBN 978-0-8218-4932-3).

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of. .

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book. Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol (1989, 2nd e. ISBN 978-0-387-97127-8). Linear Representations of Finite Groups, Jean-Pierre Serre, Leonhard L. Scott (1977

Number Theory book Start by marking Number Theory: Algebraic Numbers and Functions as Want t.

Start by marking Number Theory: Algebraic Numbers and Functions as Want to Read: Want to Read savin. ant to Read.

Электронная книга "Number Theory: Algebraic Numbers and Functions", Helmut Koch

Электронная книга "Number Theory: Algebraic Numbers and Functions", Helmut Koch. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Number Theory: Algebraic Numbers and Functions" для чтения в офлайн-режиме.

It is an unfortunate feature of number theory that few of the books explain clearly the motivation for . Central themes are the calculation of the class number and unit group. L-functions are also introduced in the final chapter.

It is an unfortunate feature of number theory that few of the books explain clearly the motivation for much of the technology introduced. Similarly, half of this book is spent proving properties of Dedekind domains before we see much motivation. The finiteness of the class number and Dirichlet's Unit Theorem are both proved.

Algebraic number theory is one of the most refined creations in.Book Series Name: Graduate Studies in Mathematics. Volume: 24. Publication Month and Year: 2000-06-06.

Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. Next, some of the tools of algebraic number theory are introduced, such as ideals, discriminants and valuations. These results are then applied to obtain results about function fields, including a proof of the Riemann-Roch Theorem and, as an application of cyclotomic fields, a proof of the first case of Fermat's Last Theorem. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory. Following the example set for us by Kronecker, Weber, Hilbert and Artin, algebraic functions are handled here on an equal footing with algebraic numbers. These books elaborate on several theories from notable personas, such as Ethan Akin, Martin Schechter, and Terence Tao, in the mathematical industry. Tips for applying to graduate programs in mathematics. A Math PhD Student's Homework, Part I (Introduction to Groups and Representation Theory). Graduate Studies in Math and Statistics. Graduate Studies in Applied Mathematics at the University of Waterloo.

Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory. Following the example set for us by Kronecker, Weber, Hilbert and Artin, algebraic functions are handled here on an equal footing with algebraic numbers. This is done on the one hand to demonstrate the analogy between number fields and function fields, which is especially clear in the case where the ground field is a finite field. On the other hand, in this way one obtains an introduction to the theory of "higher congruences" as an important element of "arithmetic geometry". Early chapters discuss topics in elementary number theory, such as Minkowski's geometry of numbers, public-key cryptography and a short proof of the Prime Number Theorem, following Newman and Zagier. Next, some of the tools of algebraic number theory are introduced, such as ideals, discriminants and valuations. These results are then applied to obtain results about function fields, including a proof of the Riemann-Roch Theorem and, as an application of cyclotomic fields, a proof of the first case of Fermat's Last Theorem. There are a detailed exposition of the theory of Hecke $L$-series, following Tate, and explicit applications to number theory, such as the Generalized Riemann Hypothesis. Chapter 9 brings together the earlier material through the study of quadratic number fields. Finally, Chapter 10 gives an introduction to class field theory.
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