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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.

8 votes

Calculus book in the spirit of the 18th century

Have a look at Sylvanus P. Thompson's "Calculus Made Easy" subtitled, What One Fool Can Do, Another Can. It was written at the end of the 19h Century but takes a pretty much 18th Century approach (and …
Dick Palais's user avatar
  • 15.3k
4 votes

Any good books on numerical methods for ordinary differential equations?

If you do not mind a "self-reference" there is "Differential Equations, Mechanics, and Computation", published by AMS and written by me and my son Bob Palais. See the associated website at: http://od …
1 vote

Measure theory treatment geared toward the Riesz representation theorem

www.imsc.res.in/~sunder/rrt1.pdf
Dick Palais's user avatar
  • 15.3k
16 votes

Book on symplectic geometry

You can find a very nice introduction to the subject in these notes by Ana Cannas da Silva: www.math.princeton.edu/~acannas/symplectic.pdf
Dick Palais's user avatar
  • 15.3k
27 votes
Accepted

Leibnizian calculus textbook

There is a marvelous old book (19th Century if I recall correctly) where I learned Calculus the first time, called "Calculus Made Easy" by Silvanus P. Thompson, and subtitled "What one fool can do ano …
8 votes

Good differential equations text for undergraduates who want to become pure mathematicians

If you don't mind considering a recommendation from one of the co-authors of an ODE textbook, you sound like just the sort of student that we had in mind when we wrote "Differential Equations, Mechani …