Advanced Engineering Maths: Is Erwin Kreysizg Enough?

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SUMMARY

Erwin Kreyszig's "Advanced Engineering Mathematics" is a foundational text for engineering students, covering essential topics such as differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra. While comprehensive, it lacks in-depth coverage of linear algebra and does not replace the need for additional specialized texts throughout a four-year engineering program. Students should expect to supplement Kreyszig with other resources to fully grasp the mathematical concepts required for their courses.

PREREQUISITES
  • Understanding of calculus and its applications
  • Familiarity with differential equations
  • Basic knowledge of linear algebra
  • Exposure to complex analysis concepts
NEXT STEPS
  • Explore additional resources on linear algebra, such as "Linear Algebra Done Right" by Sheldon Axler
  • Study "Partial Differential Equations for Engineers" by Robert G. Bartle
  • Learn about numerical methods through "Numerical Analysis" by Burden and Faires
  • Investigate advanced topics in topology relevant to engineering applications
USEFUL FOR

This discussion is beneficial for first-year mechanical engineering students, educators in engineering mathematics, and anyone seeking to understand the breadth of mathematical knowledge required for a successful engineering career.

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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