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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 …
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
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 …
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
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 …