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

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Discussion Overview

The discussion centers on the idea of self-studying mathematical methods using the book by Boas in preparation for the third year of a Physics major. Participants explore the effectiveness of this approach and suggest potential topics to focus on during the study period.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a desire to self-study math using Boas and seeks input on the idea and recommended topic order.
  • Another participant encourages self-study, suggesting that studying from Boas is beneficial and that one should focus on topics of personal interest.
  • A different participant strongly supports the idea, emphasizing the importance of understanding math before delving into physics, and recommends prioritizing complex numbers, series and sequences, calculus, vector calculus, basic linear algebra, and ordinary differential equations (ODEs).
  • A later reply notes that the Boas book is designed for self-study and mentions the potential benefit of using the Student's Solution Manual for additional guidance.

Areas of Agreement / Disagreement

Participants generally agree that self-studying mathematical methods is a good idea, but there are varying opinions on which topics should be prioritized and whether special functions should be included in the study plan.

Contextual Notes

Some participants mention the importance of focusing on previously encountered mathematical concepts, indicating that the effectiveness of the study may depend on the individual's prior knowledge and the specific physics courses they will take.

Who May Find This Useful

Physics majors preparing for advanced coursework, students interested in self-study methods, and those looking to strengthen their mathematical foundation in relation to physics.

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.
 

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