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Daniel Dubin.Numerical and Analytical Methods for Scientists and Engineers Using Mathematica. Up to this point in your career you have been asked to use mathematics to solve rather elementary problems in the physical sciences. However, when you graduate and become a working scientist or engineer you will often be confronted with complex real-world problems. Understanding the material in this book is a first step toward developing the mathematical tools that you will need to solve such problems. Much of the work detailed in the following chapters requires standard penciland- paperŽi.e., analytical.methods. These methods include solution techniques for the partial differential equations of mathematical physics such as Poisson¡¯s equation, the wave equation, and Schr¡§odinger¡¯s equation, Fourier series and transforms, and elementary probability theory and statistical methods. These methods are taught from the standpoint of a working scientist, not a mathematician. This means that in many cases, important theorems will be stated, not proved Žalthough the ideas behind the proofs will usually be discussed.. Physical intuition will be called upon more often than mathematical rigor. Mastery of analytical techniques has always been and probably always will be of...... ........................... [search]ÓÐÏÞÔª[/search] [ Last edited by ayuner on 2007-9-24 at 21:16 ] |
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