What are the pre-requisites for Apostol calculus vol. 2?

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SUMMARY

Apostol's Calculus Volume 2 is recommended as a follow-up to Spivak's Calculus, with a focus on linear algebra concepts. The introduction of Volume 2 includes a comprehensive overview of linear algebra, covering linear transformations, matrices, determinants, eigenvalues, and quadratic forms. The first two chapters of Volume 2 repeat essential material from Volume 1 to ensure that readers have a complete understanding of linear algebra. Therefore, prior knowledge of linear algebra is beneficial but not strictly necessary for success in this volume.

PREREQUISITES
  • Understanding of basic calculus concepts as presented in Spivak's Calculus.
  • Familiarity with linear algebra, specifically topics like linear transformations and matrices.
  • Knowledge of determinants and eigenvalues.
  • Basic comprehension of quadratic forms.
NEXT STEPS
  • Review Strang's Linear Algebra for a refresher on key concepts.
  • Study the first two chapters of Apostol's Calculus Volume 1 for foundational material.
  • Explore additional resources on linear transformations and their applications.
  • Practice problems related to eigenvalues and quadratic forms to solidify understanding.
USEFUL FOR

Students transitioning from introductory calculus to advanced topics, particularly those interested in deepening their understanding of linear algebra in the context of calculus. Ideal for anyone preparing to study Apostol's Calculus Volume 2.

Spearmintz
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Hi, so basically i have just finished reading spivak's calculus and quite a lot people in this forum suggested that apostol's vol.2 is a good 'next book' after spivak calculus.

I was just wondering whether apostol's volume 2 presupposes knowledge of linear algebra, because i am not too proficient with it. (i read strang's book on linear algebra quite some time back, so by now quite... you know)

Any advice?

Thanks in advance.
 
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This is from the introduction of Apostol's Calculus volume 2.

The last two chapters of Volume I have been repeated as the
first two chapters of Volume II so that all the material on linear algebra will be complete
in one volume.
Part 1 contains an introduction to linear algebra, including linear transformations,
matrices, determinants, eigenvalues, and quadratic forms.

I believe this should provide sufficient background.
 
You should be fine.
 

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