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A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z (Student Mathematical Library) - Tapa blanda
Sinopsis
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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Acerca del autor
Paul Pollack, University of Georgia, Athens, GA.
"Sobre este título" puede pertenecer a otra edición de este libro.
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A Conversational Introduction to Algebraic Number Theory
Publicado por
American Mathematical Society, US, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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Librería: Rarewaves.com UK, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: New. 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. Nº de ref. del artículo: LU-9781470436537
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A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z
Publicado por
Amer Mathematical Society, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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Paperback. Condición: Brand New. 316 pages. 8.50x5.50x0.50 inches. In Stock. Nº de ref. del artículo: __1470436531
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A Conversational Introduction to Algebraic Number Theory
Publicado por
American Mathematical Society, US, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
Nuevo
Paperback
Librería: Rarewaves.com USA, London, LONDO, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: New. 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. Nº de ref. del artículo: LU-9781470436537
Cantidad disponible: 1 disponibles
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A Conversational Introduction to Algebraic Numbe - Arithmetic Beyond Z
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MP-AMM American Mathematical, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: FW-9781470436537
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A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z
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American Mathematical Society, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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Conversational Introduction to Algebraic Number Theory : Arithmetic Beyond Z
Publicado por
American Mathematical Society, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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Conversational Introduction to Algebraic Number Theory : Arithmetic Beyond Z
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American Mathematical Society, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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A Conversational Introduction to Algebraic Number Theory : Arithmetic Beyond Z
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American Mathematical Society Sep 2017, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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Taschenbuch. Condición: Neu. Neuware - 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 $mathbb{Q}$. It lays out basic results, including unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. Nº de ref. del artículo: 9781470436537
Cantidad disponible: 1 disponibles
Imagen del vendedor
Conversational Introduction to Algebraic Number Theory : Arithmetic Beyond Z
Publicado por
American Mathematical Society, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
Nuevo
Tapa blanda
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 29654692-n
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A Conversational Introduction to Algebraic Number Theory
Publicado por
American Mathematical Society, 2017
ISBN 10: 1470436531
ISBN 13: 9781470436537
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Kartoniert / Broschiert
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Kartoniert / Broschiert. Condición: New. KlappentextrnrnGauss 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 fini. Nº de ref. del artículo: 614189320
Cantidad disponible: 3 disponibles