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Would you recommend this book as a first exposure to mathematical methods? How high a lever is this book of? Is it out-of-date or still quiet useful?
Sorry, I will add the authorsmicromass said:Most people refer to science book by their author. If you don't mention the author, we have no idea which book you're talking about.
Yes, Morse and Feshbach.Geofleur said:You are referring to Morse and Feshbach, no?
Thanks for your detailed reply!vanhees71 said:It's one of the best books on the subject ever written. Maybe, it's too advanced for a first encounter with "Mathematical Methods", but it's pretty useful also as a reference work for practitioners. A very good and comprehensive book, including a lot of "culture" besides the pure technical aspects is
S. Hassani, Mathematical Physics, Springer
but it's also pretty advanced. I don't know the book by Boas very well, but it seems to be well received as an introductory textbook. Arfken&Weber seems to be more a reference than a usual textbook, because it's too brief on the proofs.
It's also useful to know, which particular subject(s) you want to learn at which level to give a more informed recommendation on textbooks.
vanhees71 said:S. Hassani, Mathematical Physics, Springer
The purpose of studying Methods of Theoretical Physics is to develop a deeper understanding of the fundamental laws and principles that govern the behavior of the physical world. It also provides a framework for solving complex problems and making predictions about physical phenomena.
The main topics covered in Methods of Theoretical Physics include classical mechanics, electromagnetism, quantum mechanics, statistical mechanics, and thermodynamics. These topics form the foundation of modern physics and are essential for understanding the behavior of matter and energy.
Methods of Theoretical Physics involves using mathematical models and equations to describe and predict physical phenomena, whereas experimental physics involves conducting experiments to gather data and test theories. Theoretical physics is more focused on developing a theoretical framework, while experimental physics is more concerned with practical applications.
Yes, a strong background in mathematics is essential for studying Methods of Theoretical Physics. It requires a solid understanding of calculus, linear algebra, and differential equations. These mathematical tools are necessary for formulating and solving complex physical problems.
Individuals with a background in Methods of Theoretical Physics can pursue careers in various fields, including research, academia, and industry. They can work as theoretical physicists, research scientists, data analysts, or professors. They may also find opportunities in fields such as engineering, finance, and computer science.