N-person game theory analyzes contests in which there are more than two sets of conflicting interests, e.g. a hand of poker or wide-scale warfare. In this sequel to his Two-Person Game Theory, the author introduces the necessary mathematical notation (mainly set theory), presents basic concepts, discusses a variety of models, and provides applications to social situations.
This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book contains many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, along with exercises and selected solutions.
The material from function theory, up to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises. Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Yet the book is far from being a mere history of function theory. Even experts will find here few new or long forgotten gems, like Eisenstein's novel approach to the circular functions.
Permutation Tests for Complex Data: Theory, Applications and Software
Complex multivariate testing problems are frequently encountered in many scientific disciplines, such as engineering, medicine and the social sciences. As a result, modern statistics needs permutation testing for complex data with low sample size and many variables, especially in observational studies.
Longtime favorites for both classroom and self-teaching help, Barron's Easy Way Series titles review a wide variety of subjects, presenting fundamental concepts in clear, easy-to-understand language and examples. Calculus the Easy Way covers all the essentials of a first-year calculus course, including derivatives, integrals, trignometric functions, natural logarithms, exponential functions, and an introduction to differential equations.
