Articles liés à Number Theory With Applications

Number Theory With Applications - Couverture souple

Li, Wen-Ching

 
9789810222260: Number Theory With Applications

Synopsis

Novel and important applications of number theory to graph theory and vice versa had been made in the past decade. The two main tools used are based on the estimates of character sums and the estimates of the eigenvalues of Hecke operators, both are rooted in the celebrated Weil conjectures settled by Deligne in 1973. The purpose of this book is to give, from scratch, a coherent and comprehensive introduction to the topics in number theory related to the central tools, with the ultimate goal of presenting their applications. This book includes many important subjects in number theory, such as Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory.

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Présentation de l'éditeur

Experts provide a unique and broad perspective of the theoretical tools available today to analyze protein structure and function. Topics at the frontier of computational biophysics, such as dynamics and thermodynamics of proteins, reaction path studies, optimization techniques, analytical theories of protein folding, sequence alignment algorithms and electrostatics of proteins are discussed in a pedagogical and complete way. Those entering the field will find the book to be a useful introduction. It will also serve as a complementary text to existing ones that focus on just one of the above subjects.

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