Transcription of Mathematical Methods for Physics and Engineering
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Mathematical Methods for Physics and Engineering
This page intentionally left blankMathematical Methods for Physics and EngineeringThe third edition of this highly acclaimed undergraduate textbook is suitablefor teaching all the mathematics ever likely to be needed for an undergraduatecourse in any of the physical sciences. As well as lucid descriptions of all thetopics covered and many worked examples, it contains more than 800 number of additional topics have been included and the text has undergonesignificant reorganisation in some areas. New stand-alone chapters: give a systematic account of the special functions of physical science cover an extended range of practical applications of complex variables includingWKB Methods and saddle-point integration techniques provide an introduction to quantum tabulations, of relevance in statistics and numerical integration, havebeen added.
8.1 Vector spaces242 Basis vectors; inner product; some useful inequalities 8.2 Linear operators247 8.3 Matrices249 8.4 Basic matrix algebra250 Matrix addition; multiplication by a scalar; matrix multiplication 8.5 Functions of matrices255 8.6 The transpose of a matrix255 8.7 The complex and Hermitian conjugates of a matrix256 8.8 The trace of ...
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