Mathematical Methods in the Physical Sciences

Now in its third edition, Mathematical Concepts in the Physical Sciences, 3rd Edition provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book is intended for students who have had a two-semester or three-semester introductory calculus course. Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book). At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications. Now In Its Third Edition, 'mathematical Methods In The Physical Sciences' Provides A Comprehensive Introduction To The Areas Of Mathematical Physics. It Combines All The Essential Math Concepts Into One Compact, Clearly Written Reference.--publisher. Infinite Series, Power Series -- Complex Numbers -- Linear Algebra -- Partial Differentiation -- Multiple Integrals -- Vector Analysis -- Fourier Series And Transforms -- Ordinary Differential Equations -- Calculus Of Variations -- Tensor Analysis -- Special Functions -- Series Solutions Of Differential Equations; Legendre, Bessel, Hermite, And Laguerre Functions -- Partial Differential Equations -- Functions Of A Complex Variable -- Probability And Statistics. Mary L. Boas. Previous Ed.: New York: Wiley, 1983. Includes Bibliographical References (p. 779-780) And Index. Updates the original, comprehensive introduction to the areas of mathematical physics encountered in advanced courses in the physical sciences. Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded. As a simple example of many of the ideas involved in series, we are going to consider the geometric series.