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Special Functions: An Introduction to the Classical Functions of Mathematical Physics

Posted By: AvaxGenius
Special Functions: An Introduction to the Classical Functions of Mathematical Physics

Special Functions: An Introduction to the Classical Functions of Mathematical Physics by Nico M. Temme
English | PDF | 1996 | 377 Pages | ISBN : 0471113131 | 14.2 MB

This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.

Reciprocity Laws: From Euler to Eisenstein

Posted By: AvaxGenius
Reciprocity Laws: From Euler to Eisenstein

Reciprocity Laws: From Euler to Eisenstein by Franz Lemmermeyer
English | PDF | 2000 | 503 Pages | ISBN : 3540669574 | 46.6 MB

This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area.