Advanced Engineering Maths: Is Erwin Kreysizg Enough?

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Discussion Overview

The discussion centers around the adequacy of "Advanced Engineering Mathematics" by Erwin Kreyszig for a mechanical engineering student's mathematical education over a four-year program. Participants explore whether this single text is sufficient or if additional resources and courses are necessary for comprehensive understanding.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant asserts that Kreyszig's book is comprehensive and covers essential topics like differential equations, Fourier analysis, and linear algebra in depth.
  • Another participant questions the depth of linear algebra in Kreyszig's book, suggesting it may not be sufficient compared to other engineering mathematics texts.
  • A different viewpoint highlights that the initial chapters serve as a review of foundational material, implying that while the book is useful, it may not replace dedicated courses for each mathematical topic.
  • One participant expresses skepticism about relying on a single book for all necessary mathematical knowledge throughout an engineering program, emphasizing the need for multiple resources and textbooks for various courses.
  • A follow-up question seeks clarification on the specific math courses taken by another participant, indicating interest in understanding the broader curriculum beyond Kreyszig's book.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether Kreyszig's book is sufficient for all mathematical needs in an engineering program. Multiple competing views exist regarding the depth and comprehensiveness of the material covered.

Contextual Notes

Some participants note that no single book can encompass all necessary mathematical topics, suggesting limitations in Kreyszig's coverage and the importance of supplementary texts for specific courses.

ajayguhan
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I'm 1st year mechanical engineering student, I'm following "advanced engineering mathematics" by Erwin kreysizg. Is that book enough for the mathematical content for the next four years or else is there any more advanced math that i must take up after finishing erwin kreysizg.
 
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Kreyszig is comprehensive: "Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations."

You will use this book throughout your career.
 
I don't think it teaches linear algebra in depth, but it has every topic depth when compared to many engineering math book.
 
Last edited:
The first chapters are a concise review of material which should have been presented in individual classes - calculus, differential equations, linear algebra. This is presented here as reference material required for the more advanced topics which are covered in the latter portions of the book.

Of course there are other books available ... there are even several "comprehensive" books like this one.

IMHO, you can never study too much linear algebra ... and no book has room for everything.
 
During my four years as an undergraduate engineering student, I took many math courses:
Calculus (several levels), Linear Algebra, Topology, Complex Variables, Differential Equations, Partial Differential Equations, Numerical Analysis, and more, and each of those courses required a book itself.

I am highly skeptical that a single book will get you through all the math you need over the course of a four-year engineering program. Even if you are a math genius, you'd still need the books required for each course to do the problem sets.
 
DuncanM said:
During my four years as an undergraduate engineering student, I took many math courses:
Calculus (several levels), Linear Algebra, Topology, Complex Variables, Differential Equations, Partial Differential Equations, Numerical Analysis, and more, and each of those courses required a book itself.

Can you tell what are all the math course you did...?
 

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