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PhysicsMark
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Hello. I am looking for a good math methods in physics book. I am currently taking Mathematical methods in physics at my university. The tutorial we use isn't very helpful. Does anyone have any suggestions?
PhysicsMark said:I am currently taking Mathematical methods in physics at my university.
George Jones said:At what level? Does the course has assigned or recommended texts?
At the most introductory level there is Basic Training in Mathematics: A Fitness Program for Science Students by R. Shankar,
https://www.amazon.com/dp/0306450356/?tag=pfamazon01-20.
I, too, recommend https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20 by Boas, which is a standard text for junior-level mathematical method courses. I wasn't very familiar with this book until I used as the text for a course that I taught a few years ago
https://www.amazon.com/dp/0120598760/?tag=pfamazon01-20 by Arfken and Weber is a standard text for grad-level (or possibly senior-level) mathematical methods courses.
A good math methods in physics book should have clear explanations, a wide range of problems with varying difficulty levels, and relevant examples from real-life applications. It should also have a good balance of theory and practice, and thorough coverage of important mathematical concepts and techniques used in physics.
Some of the key mathematical topics covered in a math methods in physics book include calculus, differential equations, linear algebra, vector calculus, and complex analysis. Other topics may include probability and statistics, Fourier analysis, and group theory.
Yes, there are several recommended math methods in physics books for beginners, such as "Mathematical Methods for Physics and Engineering" by K.F. Riley, M.P. Hobson, and S.J. Bence, and "Mathematical Methods in the Physical Sciences" by Mary L. Boas. These books provide a solid foundation in mathematical concepts and techniques used in physics.
To improve your problem-solving skills using a math methods in physics book, it is important to actively engage with the material. This can be done by attempting the practice problems and checking your answers, as well as trying to solve problems from other sources using the techniques and concepts learned from the book. It is also helpful to review and understand the examples and explanations provided in the book.
Yes, there are several online resources that can complement a math methods in physics book, such as video lectures, interactive simulations, and online practice problems. Some popular websites for physics and math resources include Khan Academy, Coursera, and Brilliant. These resources can provide additional explanations and examples, as well as opportunities for practice and self-assessment.