A revised and updated presentation of calculus with applications to engineering and the sciences. Changes include an early treatment of the calculus of the trigonometric functions, an increased use of Riemann definition of the integral, the introduction of several numerical techniques, an early chapter on mathematical modeling, expanded and balanced exercise sets, suggested procedures for problem solving, revised proofs, and additional examples. Chapter 13 is contained in both part I and part II.
I didn't first study calculus from this book but wish I had. This is a very good introduction to calculus, easy to read yet still rigorous. It starts with the basics of differentiation covering the standard collection of theorems and ends covering vector analysis (div grad and curl) as well as various forms of multivariate optimization such as the method of Lagrangian multipliers. Some of the drawings are bit on the crude side but they are very clear and easily understood. If you can get this book at a good price, do so.
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