Introduction to Number Theory

Daniel E Flath

ISBN 10: 1470446944 ISBN 13: 9781470446949

Editorial: Eurospan Aug 2018, 2018

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Neuware - Growing out of a course designed to teach Gauss's Disquisitiones Arithmeticae to honours-level undergraduates, this volume focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by students who possess a basic familiarity with abstract algebra. N� de ref. del art�culo 9781470446949

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Sinopsis:

Growing out of a course designed to teach Gauss's Disquisitiones Arithmeticae to honors-level undergraduates, Flath's Introduction to Number Theory focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by advanced undergraduates or graduate students who possess a basic familiarity with abstract algebra. The text treats a variety of topics from elementary number theory including the distribution of primes, sums of squares, continued factions, the Legendre, Jacobi and Kronecker symbols, the class group and genera. But the focus is on quadratic reciprocity (several proofs are given including one that highlights the $p - q$ symmetry) and binary quadratic forms. The reader will come away with a good understanding of what Gauss intended in the Disquisitiones and Dirichlet in his Vorlesungen. The text also includes a lovely appendix by J. P. Serre titled $\Delta = b^2 - 4ac$.

The clarity of the author's vision is matched by the clarity of his exposition. This is a book that reveals the discovery of the quadratic core of algebraic number theory. It should be on the desk of every instructor of introductory number theory as a source of inspiration, motivation, examples, and historical insight.

Acerca del autor: Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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Detalles bibliogr�ficos

T�tulo: Introduction to Number Theory
Editorial: Eurospan Aug 2018
A�o de publicaci�n: 2018
Encuadernaci�n: Buch
Condici�n: Neu

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Introduction to Number Theory

Flath, Daniel E.

Publicado por Amer Mathematical Society, 2018

ISBN 10: 1470446944 ISBN 13: 9781470446949

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Introduction to Number Theory

Daniel E. Flath

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Introduction to Number Theory

Flath, Daniel E.

Publicado por American Mathematical Society, 2018

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Introduction to Number Theory

Daniel E. Flath

Publicado por American Mathematical Society, US, 2018

ISBN 10: 1470446944 ISBN 13: 9781470446949

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Hardback. Condici�n: New. Growing out of a course designed to teach Gauss's Disquisitiones Arithmeticae to honors-level undergraduates, Flath's Introduction to Number Theory focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by advanced undergraduates or graduate students who possess a basic familiarity with abstract algebra. The text treats a variety of topics from elementary number theory including the distribution of primes, sums of squares, continued factions, the Legendre, Jacobi and Kronecker symbols, the class group and genera. But the focus is on quadratic reciprocity (several proofs are given including one that highlights the $p - q$ symmetry) and binary quadratic forms. The reader will come away with a good understanding of what Gauss intended in the Disquisitiones and Dirichlet in his Vorlesungen. The text also includes a lovely appendix by J. P. Serre titled $\Delta = b^2 - 4ac$.The clarity of the author's vision is matched by the clarity of his exposition. This is a book that reveals the discovery of the quadratic core of algebraic number theory. It should be on the desk of every instructor of introductory number theory as a source of inspiration, motivation, examples, and historical insight. N� de ref. del art�culo: LU-9781470446949

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