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Based on lectures delivered at the National University of Singapore, the graduate textbook introduces Gauss’s theory of binary quadratic forms and walks through a series of theorems for describing the set of prime numbers that can be represented by an integral binary quadratic form of discriminant ?. The discussion of elementary number theory covers the distribution of primes, sums of squares, continued fractions, the class group, the genus group, and the Legendre, Jacobi, and Kronecker symbols. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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Introduction to Number Theory
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American Mathematical Society, US, 2018
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Hardback. Condizione: 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. Codice articolo LU-9781470446949
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Flath, D: Introduction to Number Theory
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Condizione: New. 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 po. Codice articolo 696883499
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Introduction to Number Theory
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Hardback. Condizione: 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. Codice articolo LU-9781470446949
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