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Differential Equations: Theory and Applications
This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
Mathematical Computing
This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.
Partial Differential Equations for Computational Science
This book will have strong appeal to interdisciplinary audiences, particularly in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics. There is also a heavy focus on vector analysis. Maple examples, exercises, and an appendix is also included.
Stochastic Analysis and Applications in Physics
Proceedings of the NATO Advanced Study Institute, Funchal, Madeira, Portugal, August 6--19, 1993
White Noise Analysis: Mathematics And Applications
This proceedings contains articles on white noise analysis and related subjects. Applications in various branches of science are also discussed. White noise analysis stems from considering the time derivative of Brownian motion (“white noise”) as the basic ingredient of an infinite dimensional calculus. It provides a powerful mathematical tool for research fields such as stochastic analysis, potential theory in infinite dimensions and quantum field theory.
Differential Geometry: The Interface between Pure and Applied Mathematics
Contains papers that represent the proceedings of a conference entitled 'Differential Geometry: The Interface Between Pure and Applied Mathematics', which was held in San Antonio, Texas, in April 1986. This work covers a range of applications and techniques in such areas as ordinary differential equations, Lie groups, algebra and control theory.
Foundations of Topology
Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well motivated with thorough proofs that make them easy to follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skill to write clear and precise proofs.
Top-down Calculus
This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world problems. The text contains major sections on: (1) linear functions and derivatives; (2) computing derivatives; (3) applications of derivatives; (4) integrals; and (5) infinite series. The activities contained within these chapters are designed so that students can first study the exercise set and the solutions. Next, the students are asked to make modifications to the original problem, solve it, and move on to the variations. The appendices include math tables, additional reading and exercises, solutions, and hints to the exercises. (TW)
Combined Membership List of the American Mathematical Society and the Mathematical Association of America
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
