TY - GEN AU - Richards, Derek TI - Advanced mathematical methods with Maple SN - 9780521135061 U1 - 519.40285 PY - 2002/// CY - Cambridge PB - Cambridge University Press KW - Maple (Computer file) KW - Numerical analysis - Data processing N1 - Includes bibliographical references and index N2 - The last five years have seen an immense growth in the use of symbolic computing and mathematical software packages such as Maple. The first three chapters of this book provide a user-friendly introduction to computer-assisted algebra with Maple. The rest of the book then develops these techniques and demonstrates the use of this technology for deriving approximate solutions to differential equations (linear and nonlinear) and integrals. In each case, the mathematical concepts are comprehensively introduced, with an emphasis on understanding how solutions behave and why various approximations can be used. Where appropriate, the text integrates the use of Maple to extend the utility of traditional approximation techniques. Advanced Mathematical Methods with Maple is the ideal companion text for advanced undergraduate and graduate students of mathematics and the physical sciences. It incorporates over 1000 exercises with different levels of difficulty, for which solutions are provided on the Internet. (LOC Publishers description) ER -