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mathematics of physics and engineering, blum, lototsky [pdf]

Mathematics of Physics and Engineering by Edward K Blum, Sergey V Lototsky

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Mathematics of Physics and Engineering written by Edward K Blum , University of Southern California, USA. and Sergey V Lototsky , University of Southern California, USA.

What is mathematics of physics and engineering? An immediate answer would be "all mathematics that is used in physics and engineering", which is pretty much . all the mathematics there is. While it is nearly impossible to present all mathematics in a single book, many books on the subject seem to try this. On the other hand, a semester-long course in mathematics of physics and engineering is a more well-defined notion, and is present in most universities. Usually, this course is designed for advanced undergraduate students who are majoring in physics or engineering, and who are already familiar with multi-variable calculus and ordinary differential equations. The basic topics in such a course include introduction to Fourier analysis and partial differential equations, as well as a review of vector analysis and selected topics from complex analysis and ordinary differential equations. It is therefore useful to have a book that covers these topics — and nothing else. Besides the purely practical benefits, related to the reduction of the physical dimensions of the volume the students must carry around, the reduction of the number of topics covered has other advantages over the existing lengthy texts on engineering mathematics.
Aimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac. While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this textbook serves the interdisciplinary needs of engineers, scientists and applied mathematicians by unifying the mathematics and physics into a single systematic body of knowledge but preserving the rigorous logical development of the mathematics. The authors take an unconventional approach by integrating the mathematics with its motivating physical phenomena and, conversely, by showing how the mathematical models predict new physical phenomena.
Title: Mathematics of Physics and Engineering
Edition:
Author(s): Edward K Blum, Sergey V Lototsky
Publisher: World Scientific
Series:
Year: 2006
Pages: 498
Type: PDF
Language: English
ISBN: 9789812566218,981256621X
Country: US
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Mathematics of Physics and Engineering written by Edward K Blum, Sergey V Lototsky cover the following topics.
1. Symbols and Special Numbers
2. Elementary Algebra
3. Linear Algebra
4. Analytic Geometry and Trigonometry
5. Calculus
6. Statistics and Probability
7. Financial Mathematics


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