PREFACE :
This text is designed for the usual introductory physics courses to prepare undergraduate students for the level
of mathematics expected in more advanced undergraduate physics and engineering courses. One of its goals is to guide
the student in learning the mathematical language physicists use by leading them through worked examples and then
practicing problems. The pedagogy is that of introducing concepts, designing and refining methods, and practicing
them repeatedly in physics examples and problems. Geometric and algebraic approaches and methods are included and
are more or less emphasized in a variety of settings to accommodate different learning styles of students.
Sometimes examples are solved in more than one way. Theorems are usually derived sketching the underlying ideas and describing
the relevant mathematical relations so that one can recognize the assumptions they are based on and their limitations. These
proofs are not rigorous in the sense of the professional mathematician, and no attempt was made to formulate theorems in their
most general form or under the least restrictive assumptions.
An important objective of this text is to train the student to formulate
physical phenomena in mathematical language, starting from intuitive and
qualitative ideas. The examples in the text have been worked out so as to
develop the mathematical treatment along with the physical intuition.Aprecise mathematical
formulation of physical phenomena and problems is always the ultimate goal.
Title : Essential Mathematical Methods for Physicists
author(s) : Hans J. Weber, Frank Harris, George B. Arfken
size : 5 Mb
file type : PDF
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