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Mathematical Methods for Physicists and Engineers, by Royal Eugene Collins
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This practical, highly readable text provides physics and engineering students with the essential mathematical tools for thorough comprehension of their disciplines. Featuring all the necessary topics in applied mathematics in the form of programmed instruction, the text can be understood by advanced undergraduates and beginning graduate students without any assistance from the instructor.
Topics include elementary vector calculus, matrix algebra, and linear vector operations; the many and varied methods of solving linear boundary value problems, including the more common special functions of mathematical physics; the calculus of variations, and variational and perturbation approximations applicable to boundary value problems and nonlinear differential equations; curve fitting and numerical approximation methods; the basic elements of probability and their application to physical problems; and integral equations.
Rather than aiming at a complete mastery of these complicated subjects, the text focuses on the fundamental applied mathematics the student needs to deal with physics and engineering problems. Instructors in those subjects will particularly appreciate this volume's function as a self-contained study resource, allowing them to devote fewer classroom hours to formal lectures in mathematics.
- Sales Rank: #1968836 in Books
- Published on: 2011-11-30
- Original language: English
- Number of items: 1
- Dimensions: 9.13" h x .77" w x 6.44" l, 1.14 pounds
- Binding: Paperback
- 400 pages
Most helpful customer reviews
15 of 15 people found the following review helpful.
A very helpful book
By Damián Federico Abasto
This book presents to the lector in a comprehensive way the necesary mathematical methods needed by any physicist, engineer or student. It includes themes such as elementary vector calculus, matrix algebra and transformations, a very extensive study of boundary value problems, elementary applicationsof the Laplace Tansform, Integral Transforms, Variation and Perturbation Methods, Elements of Probability Theory, among others. Each point is well exposed, with many explamples and problems (although it doesn't provide the answers). A defect may be the fact that some points (although few) are not fully developed, and in some cases one will probably have to read a more basic-level book on those points (As a freshman, it happened to me that to understand chapters 7 and 8, about functions of a comples variable and calculus of residues, I had to read an introductory book on complex variable). It's develop of many math topics and it's application to Physics and Engineering and the independance of many chapters from the others, makes this book a very helpful one.
2 of 2 people found the following review helpful.
Most Useful Reference
By T. Crews
I used this book when a student of Dr. Collins at the University of Houston and I still use it for reference today. I have found it invaluable over the years and plan to purchase the latest revision.
0 of 0 people found the following review helpful.
Excellent treatment of a broad set of applied mathematical tools ...
By Amazon Customer
Excellent treatment of a broad set of applied mathematical tools with applications to physics problems. I enjoyed reading the worked out example problems and then the problem sets.
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