Engineering mathematics text beyond Kreyzig

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Discussion Overview

The discussion revolves around finding advanced engineering mathematics texts suitable for a first-year mechanical engineering student who finds the problems in Erwin Kreyszig's book too easy. The focus is on identifying resources that contain complex and challenging problems that integrate various concepts, similar to those found in competitive exams like JEE Advanced.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses a desire for more challenging problems than those found in Kreyszig's text.
  • Another participant questions the definition of 'complex type of problems' and suggests that more clarity on the specific types of problems sought would be beneficial.
  • A suggestion is made to consider Mary Boas' "Mathematical Methods in the Physical Sciences," which is noted to contain a variety of problems, albeit somewhat dated.
  • One participant expresses surprise at the first-year student's assessment of Kreyszig as too easy, noting that the topics covered are typically advanced for that level.
  • It is mentioned that Kreyszig serves as an overview of important mathematical areas rather than a comprehensive resource for all engineering mathematics needs.
  • A viewpoint is presented that specialized books may be necessary for deeper understanding in specific areas, such as partial differential equations or control systems.
  • Concerns are raised about the feasibility of finding a single book that encompasses advanced problems across all engineering mathematics topics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definition of 'complex type of problems' or the adequacy of Kreyszig's text. Multiple viewpoints regarding the need for specialized resources and the challenges of finding a comprehensive single text remain evident.

Contextual Notes

There is an implied limitation regarding the scope of Kreyszig's text and the potential need for multiple specialized resources to cover advanced topics in engineering mathematics.

ajayguhan
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i'm a mechanical engineer student, 1st year.


currently follwing erwin kreyzig, I am intersted in solving complex type of problems but couldn't find much in erwn kreyzig. it has only beginninng level easy questions.


is there a book that you can suggest which has tough and complex engineering mathematics problem...?


thank you.
 
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It's not clear what you mean by 'complex type of problems'. More information about the type of problem you are looking for would be helpful.

Kreyszig has gone thru several editions, but at one time it was a popular text for higher level engineering mathematics, like complex analysis and vector calculus.

Have you tried Mary Boas, "Mathematical Methods in the Physical Sciences"? It's a bit dated, but there seem to be a variety of different problems in this book. If you are a diligent searcher, you can find a copy online.
 
by complex type, i mean the problems which is twisted and generally based on different concepts to solve it.
for example like jee advanced and main problems ...
 
I'm surprised that you're a first year engineering student and you find Kreyszig too easy. Most of the topics in Kreyszig (vector calculus, partial differential equations, Fourier transforms, complex analysis, etc.) are well beyond anything I learned in first year...

That being said, Kreyszig isn't meant to teach you all the math you would ever need to know as an engineer, it's meant as an overview of some of the most important areas of math to an engineer. If you want something more advanced than Kreyszig, you're going to want to specialize. For example, if you need to know about partial differential equations and you find Kreyszig isn't detailed enough for you or the problems aren't difficult enough, then you would buy a partial differential equations book. If you want some advanced control systems problems which use complex analysis, then you would buy a control systems book.

I really doubt you're going to find a single book which gives you really advanced math problems in all the areas engineers deal with. Such a book would be enormous.
 
Thank you
 

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