Computer Algebra Recipes for Mathematical Physics. 1st ed. 2005

種類:

電子ブック

責任表示:

by Richard H. Enns

出版情報:

Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2005

著者名:

• Enns, Richard H.
• SpringerLink (Online service)

ISBN:

9780817644277 [081764427X]    

注記:

The Appetizers -- Linear ODEs of Physics -- Applications of Series -- Vectors and Matrices -- The Entrees -- Linear PDEs of Physics -- Complex Variables -- Integral Transforms -- Calculus of Variations -- The Desserts -- NLODEs & PDEs of Physics -- Numerical Methods.
Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. Key features: * Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers * No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis * All MAPLE commands are indexed for easy reference * A classroom-tested story/anecdote format is use

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