Is this a good idea? I'm going to self study with Boas before school starts

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Self-studying mathematical methods using Mary Boas's book is highly recommended for physics majors preparing for their third year. The book is designed for self-study, and many contributors suggest focusing on key topics such as complex numbers, series and sequences, calculus, vector calculus, basic linear algebra, and ordinary differential equations (ODEs). Emphasis is placed on reviewing familiar mathematical concepts rather than delving into new topics, as much of classical mechanics, electromagnetism, and quantum mechanics will utilize previously learned mathematics. Additionally, acquiring the Student's Solution Manual can aid in understanding problem-solving techniques. Overall, this approach is seen as beneficial for reinforcing mathematical foundations before advancing in physics studies.
mangoman
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Hello PF,

I'm going to be heading to my 3rd year as a Physics major and I want to make this last month of summer a tad productive. So my plan was to review/self study math using the mathematical methods book by Boas (and maybe some online resources to get more depth on some particular topics). Is this good idea? and if so, is there a recommended order that I should do the topics into better prepare me for my 3rd year?

Thanks for all input !
 
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If you want to self study mathematical methods, go for it.

You can't really go wrong studying anything in that book. Just pick what interests you.

May as well avoid special functions though. They can be learned in the context of physics courses.
 
YES. This is a great idea. It helps to know the math, at least a little bit, before you know the science so you don't have to study both at the same time.

I'd place greater emphasis on reviewing complex numbers, series and sequences, calc, vector calc, basic linear algebra and ODEs than on things you haven't seen before, since much of classical mechanics, EM and QM are going to be old math packaged in new science.
 
mangoman said:
Hello PF,

I'm going to be heading to my 3rd year as a Physics major and I want to make this last month of summer a tad productive. So my plan was to review/self study math using the mathematical methods book by Boas (and maybe some online resources to get more depth on some particular topics). Is this good idea? and if so, is there a recommended order that I should do the topics into better prepare me for my 3rd year?

Thanks for all input !

The Boas book was written in such a way that it can be used as a self-study. I heard it from the "horse's mouth" herself, i.e. from Mary Boas herself in 1986 (and I just dated myself there!), and this may also have been written in the Foreword of the book.

Note that if you do use it as a self-study, it might also be useful to get the Student's Solution Manual. In that book, she walks you through the details in arriving at the answers of some of the problems in her book.

Zz.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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