This work treats dynamical systems given by ordinary differential equations.

his series does an excellent job of using past and present sports figures to show how statistics can prove a player's worth. Each book begins with a chapter on "The Basics," covering the area, perimeter, or length of the court, rink, track, or playing field and other calculations (scoring angles, etc.) that apply to the sport. Chapters that focus on statistics, athletes, and famous competitions follow. Most spreads consist of a few c...

The authors investigate a continuous time, probability measure-valued dynamical system that describes the process of mutation-selection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions on selective costs. Their model arises when they incorporate very general recombination mechanisms into an earlier model of mutation and selection presented by Steinsaltz, Evans an...

A comprehensive biography analysing the development of Leibniz's thought on the major 17th and 18th century themes of mathematics, natural philosophy and metaphysics. It draws on the most authoritative publications of Leibniz's works and on modern scholarship. Intended for historians of science, especially of mathematics and philosophy and science - educated general readers with an interest in the origins of modern science and philos...

Iterations Differential Operators by A. V. Babin

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of...

Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs. New to the Third Edition New sections on the series expansion of more general functions, other problems of general second-order lin...

Quantum field theory has had a profound influence on mathematics, and on geometry in particular. However, the notorious difficulties of renormalization have made quantum field theory very inaccessible for mathematicians. This book provides complete mathematical foundations for the theory of perturbative quantum field theory, based on Wilson's ideas of low-energy effective field theory and on the Batalin-Vilkovisky formalism. As an ex...

A much-awaited guide to real-world problems in modern control and estimation This combined text and reference deals with the design of modern control systems. It is the first book in this rapidly growing field to approach optimal control and optimal estimation from a strictly pragmatic standpoint. Sidestepping the realm of theoretical mathematics, An Engineering Approach to Optimal Control and Estimation Theory offers realistic and w...

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, E...