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Linear Algebra, ODEs, calculus with one variable, many variable and vector calculus, PDEs, and finally, Tensor Analysis. I am looking for books suitable for self-studying.

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- Thread starter misogynisticfeminist
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- #1

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Linear Algebra, ODEs, calculus with one variable, many variable and vector calculus, PDEs, and finally, Tensor Analysis. I am looking for books suitable for self-studying.

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lurflurf

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Personal preference is a big factor as well as level of rigor, topics covered ect. Also many good books are out of print.misogynisticfeminist said:

Linear Algebra, ODEs, calculus with one variable, many variable and vector calculus, PDEs, and finally, Tensor Analysis. I am looking for books suitable for self-studying.

As far as calculus books most of the modern ones are either bad or rather bland. For linear algebra I like linear algebra done right by Sheldon Axler, but a more concrete book might be helpful for some. For ode's Rainville is great. Vectors, tensors, and basic equations of fluid mechanics is a nice book by Rutherford Aris. It covers tensors, but it starts by covering vector calculus which it does not assume.Generalized Vector and dyadic analysis by Chen-to Tai is a nice book, but it is way over priced. For PDEs there are 4 approches Numerical Techniques, Separation of Variables, Transform Methods and Asymptotic Analysis. Different books focus on different things. Transform Methods for Solving Partial Differential Equations by Dean Duffy is a good book that is almost entirely about transform methods. Duffy also has written a book on PDEs in general and one on applied math that covers PDEs, but I have not read those. These are just books that come to mind I have not performed a comparative analysis. There are no doubt other good choices.

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