Hi can anyone give me a author and edition for a good calculus textbook. I want to re-learn calculus in effort to start digging into Rudin's principle of mathematical analysis this summer.
Thank you
I've been reviewing calculus with the textbook I used in college, the fifth edition of Purcell and Varberg's Calculus with Analytic Geometry for the past several months. Having seen the material before, it's served well for self-study. The chapter titles read as follows: Preliminaries, Functions and Limits, The Derivative, Applications of the Derivative, The Integral, Applications of the Integral, Transcendental Functions, Techniques of Integration, Indeterminate Forms and Improper Integrals, Numerical Methods and Approximations, Infinite Series, Conics and Polar Coordinates, Geometry in the Plane and Vectors, Geometry in Space and Vectors, The Derivative in n-Space, The Integral in n-Space, Vector Calculus, Differential Equations. This material, along with some linear algebra has "unlocked" some upper division physics textbooks, which was my object for reviewing calculus.
I have Maxwell Rosenlicht's Introduction to Analysis on hand to look up proofs that Purcell and Varberg defer to more advanced books. Introduction to Analysis . It doesn't have drill problems but it might serve better for your purposes. The chapter titles read as follows: Notions from Set Theory, The Real Number System, Metric Spaces, Continuous Functions, Differentiation, Riemann Integration, Interchange of Limit Operations, The Method of Successive Approximations, Partial Differentiation, Multiple Integrals.
Here is an good text. Go for a used edition in good condition.
Watch Professor Leonard on youtube.com. He downloaded Calculus 1, 2, and 3 in great detail recorded in his classroom. If you want books, the late James Stewart Calculus textbooks are the best for students. I plan to do a self-study of Calculus beginning this summer, Lord willing. Right now, I am reviewing algebra 1 and 2 and basic probability.