Books in category Mathematics – Number Theory

NonArchimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models
This work can be recommended as an extensive course on padic mathematics, treating subjects such as a padic theory of probability and stochastic processes; spectral theory of operators in nonArchimedean Hilbert spaces; dynamic systems; p …

This book constitutes the refereed proceedings of the Third International Workshop on Ant Algorithms, ANTS 2002, held in Brussels, Belgium in September 2002.The 17 revised full papers, 11 short papers, and extended poster abstracts …

Number Theory: An Introduction to Mathematics:, Part 1
This twovolume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to firstyear undergraduates and deals with elementary number theory.

Optimal Control of Complex Structures
This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom …

Dynamics, Statistics and Projective Geometry of Galois Fields
V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets.

Classification of Pseudoreductive Groups (AM191)
In this new book, Classification of Pseudoreductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups.

He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. In these four volumes 83 of his research papers are collected.

Algebra, Arithmetic, and Geometry
Contributors in the first volume include: K. Behrend, V.G. Berkovich, J.B. Bost, P. Bressler, D. Calaque, J.F. Carlson, A. ChambertLoir, E. Colombo, A. Connes, C. Consani, A. Da ̨browski, C. Deninger, I.V. Dolgachev, S.K. Donaldson, T. …

Progress from the first edition starts by characterizing the finitefield like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare.

Bilagebraic Structures and Smarandache Bialgebraic Structures
A complete study of these bialgebraic structures and their Smarandache analogues is carried out in this book.