By covering a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory, this text provides the most up-to-date and comprehensive material for a second course in this field. With numerous examples and exercises, it begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes. The author then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. He also presents Fermat's Last Theorem, the ABC conjecture, and sieve methods.…mehr
By covering a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory, this text provides the most up-to-date and comprehensive material for a second course in this field. With numerous examples and exercises, it begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes. The author then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. He also presents Fermat's Last Theorem, the ABC conjecture, and sieve methods.
Richard A. Mollin is a professor in the Department of Mathematics and Statistics at the University of Calgary. In the past twenty-three years, Dr. Mollin has founded the Canadian Number Theory Association and has been awarded six Killam Resident Fellowships. Over the past thirty-three years, he has written more than 190 publications.
Inhaltsangabe
Algebraic Number Theory and Quadratic Fields. Ideals. Binary Quadratic Forms. Diophantine Approximation. Arithmetic Functions. Introduction to p -Adic Analysis. Dirichlet: Characters, Density, and Primes in Progression. Applications to Diophantine Equations. Elliptic Curves. Modular Forms. Appendix. Bibliography. Solutions to Odd-Numbered Exercises. Indices.
Algebraic Number Theory and Quadratic Fields. Ideals. Binary Quadratic Forms. Diophantine Approximation. Arithmetic Functions. Introduction to p -Adic Analysis. Dirichlet: Characters, Density, and Primes in Progression. Applications to Diophantine Equations. Elliptic Curves. Modular Forms. Appendix. Bibliography. Solutions to Odd-Numbered Exercises. Indices.
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Shop der buecher.de GmbH & Co. KG Bürgermeister-Wegele-Str. 12, 86167 Augsburg Amtsgericht Augsburg HRA 13309