Blennow to follow up Altland?

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Discussion Overview

The discussion centers around the suitability of Blennow's "Mathematical Methods for Physics and Engineering" as a follow-up to Altland's "Mathematics for Physicists." Participants explore the need for additional mathematical resources for graduate-level physics, particularly in areas that Altland covers briefly.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a desire to enhance their mathematical understanding for graduate-level physics and inquires about the Blennow book as a potential resource.
  • Another participant suggests that Blennow's book is a reasonable choice but emphasizes that its effectiveness can only be determined through personal experience.
  • A participant mentions the existence of an instructor's manual for Blennow's book, which is not available to students, and advises posting specific problem questions in the forum instead.
  • There is a request for alternative books that provide solutions or answer keys, as the participant notes that Blennow's book lacks these resources for self-study.
  • One participant recommends Arfken's book as a potential alternative, sharing their experience using it for a mathematical methods course.
  • Another participant notes that discussions on mathematical methods tend to be course-dependent at the graduate level, suggesting that a reference book might be more beneficial for individual study.

Areas of Agreement / Disagreement

Participants generally agree that Blennow's book could be a suitable follow-up to Altland's, but there is no consensus on its effectiveness without personal experience. Multiple competing views on alternative resources and the availability of solutions remain unresolved.

Contextual Notes

Participants express limitations regarding the availability of solution manuals and the appropriateness of certain books for self-study versus classroom use. The discussion reflects varying needs and preferences for mathematical resources at the graduate level.

Who May Find This Useful

Readers interested in mathematical methods for physics, particularly those transitioning from undergraduate to graduate studies, may find this discussion relevant.

Vmax
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TLDR: is Blennow "Mathematical Methods for Physics and Engineering" a good follow-up to Altland "Mathematics for physicists"?

Hello everybody,
returning to physics after 30-something years, I felt the need to brush up my maths first. It took me 6 months and I'm currently more than half way through the Altland "Mathematics for physicists" book, covering the math for undergraduate studies at the right level of sophystication, most of which I howewer already knew (being an aerospace engineer) but enjoyed reviewing, not to mention I picked up a lot of new concepts and illuminating interpretations.
That being said, as I now want to tackle graduate level physics, I feel the need to round up my understanding in some areas that Altland treats too succintly or just mentions in passing (e.g. groups and symmetries, PDE, tensor analysis). I don't have the time to study one of the many excellent dedicated monographies on each topic, but I could accommodate a "second" mathematical methods book.
In this spirit I was wondering if the Blennow book "Mathematical Methods for Physics and Engineering" could be a good follow-up to the Altland book. I am relying on the community for advice or alternative titles.
Thank you and have a great day!
V

P.S. I might have seen on this forum (or another forum, can't remember) a thread about the two mentioned books but could not find it, if you could point me to the thread it would be great.
 
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It is a nice book and a reasonable choice. You will not really know until you try it.
 
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Thank you for your answers, I found especially interesting the link on the origins of the book. I think the Blennow book could be a good fit for my needs. The only thing is that a solution manual is mentioned in the linked article, but I cannot find it on the editor website. Since solutions to problems are essential to me while learning new topics (and lots of the book topics are new to me), I would very much appreciate if someone could point me to a place where I can get the solution manual.

V
 
There is an instructor’s manual which is only available to instructors. By policy, PF does not provide information on books that are not legally available.
If you have questions about specific problems, post a thread. You will have to show your attempt at the problem.
 
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Thank you Frabjous for the clear answer, I appreciate the frankness. I apologize for the poor wording, I meant if there was an online store where I could buy the solution manual since I didn't find it on the publisher store nor in any of the main online stores. Now I know why I couldn't find it, thanks to your clarification.

Btw, I don't see in the published index of the book an answers appendix, so none of the problems in the book has a solution nor an answer available to anyone who is not an instructor, which makes perfect sense for classroom use but not for self study purposes, unfortunately.
Can anyone suggest a viable alternative book on mathematical methods for physics, at the same level (just beginning graduate) that has answers in the back or a commercially available students solutions manual?

Thank you so much,
V
 
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I'd recommend Arfken (I used it a bit for a third mathematical methods for physicists course, you can't have enough maths... that's why I am so MAD....
:oldbiggrin: ) I wonder which edition are they nowadays?...


P.S
I used it for the part that was needed for the course.
 
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There are several threads on mathematical methods.
 
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@mad mathematician : Thank you, indeed I think Arfken could be a candidate as a reference work.

@Frabjous : I've dived into many of those threads, nothing conclusive though, it seems like math methods become very course/school dependent at the graduate level, I'm starting to think I'd be better off getting a reference book and peruse it on a "as needed" basis.

V
 

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