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An extensive summary of mathematical functions that occur in physical and engineering problems
Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as
Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the case of fixed order, variable argument. This two-volume work explores the opposite case. This volume focuses on properties of the functions and mathematical operations with respect to the order.
This proceedings is based on research work on formula manipulation and computer algebra, culminating in the design and construction of a formula manipulation machine at RIKEN known as the FLATS project.
Classical Electromagnetic Radiation, Second Edition focuses on the classical electrodynamics with emphasis on radiation problems and the wave attributes of the electromagnetic field. This book aims to provide a modern and practically sophisticated mathematical treatment of classical electrodynamics at the undergraduate level. Organized into 13 chapters, this edition starts with an overview of the basic principles of electromagnetism. This text then presents a detailed discussion of Laplace's equation and a treatment of multiple effects, since such material is of considerable significance in the development of radiation theory. Other chapters consider the electromagnetic field equations, which are developed in the time-dependent form. This book discusses as well the subjects of wave propagation in space as well as in material media. The final chapter presents an introduction to relativistic electrodynamics. This book is a valuable resource for physicists, engineers, and readers who are interested in the applications of electrodynamics in modern physics.
This text is an introduction to Simulink, a companion application to MATLAB. It is written for students at the undergraduate and graduate programs, as well as for the working professional. Although some previous knowledge of MATLAB would be helpful, it is not absolutely necessary; Appendix A of this text is an Introduction to MATLAB to enable the reader to begin learning both MATLAB and Simulink to perform graphical computations and programming.Chapters 2 through 18 describe the blocks of all Simulink libraries. Their application is illustrated with practical examples through Simulink models, some of which are supplemented with MATLAB functions, commands, and statements. Chapters 1 and 19 contain several Simulink models to illustrate various applied math and engineering applications. Appendix B is an introduction to difference equations as they apply to discrete?{time systems, and Appendix C introduces the reader to random generation procedures.This text supplements our Numerical Analysis with MATLAB and Spreadsheet Applications, ISBN 0-9709511-1-6. It is self-contained; the blocks of each library are described in an orderly fashion that is consistent with Simulink!|s documentation. This arrangement provides insight into how a model is used and how its parts interact with each another.Like MATLAB, Simulink can be used with both linear and nonlinear systems, which can be modeled in continuous time, sample time, or a hybrid of these. Examples are provided in this text.Most of the examples presented in this book can be implemented with the Student Versions of MATLAB and Simulink. A few may require the full versions of these outstanding packages, and can be skipped. Some add?{ons, known as Toolboxes and Blocksets can be obtained from The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA 01760?{2098, USA, www.mathworks.com.