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A Conversational Introduction to Algebraic Number Theory
Af: Paul Pollack Engelsk Paperback
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kr 219
A Conversational Introduction to Algebraic Number Theory
Af: Paul Pollack Engelsk Paperback
Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q. Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.
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Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q. Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 312
ISBN-13: 9781470436537
Indbinding: Paperback
Udgave:
ISBN-10: 1470436531
Kategori: Talteori
Udg. Dato: 30 sep 2017
Længde: 19mm
Bredde: 145mm
Højde: 219mm
Oplagsdato: 30 sep 2017
Forfatter(e): Paul Pollack
Forfatter(e) Paul Pollack


Kategori Talteori


Sprog Engelsk


Indbinding Paperback


Sider 312


Udgave


Længde 19mm


Bredde 145mm


Højde 219mm

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