Stewart James. Multivariable Calculus

8th Edition. — Cengage Learning, 2015. — 624 p. — ISBN-13 9781305266643.The art of teaching, Mark Van Doren said, is the art of assisting discovery. I have tried to write a book that assists students in discovering calculus—both for its practical power and its surprising beauty. In this edition, as in the first seven editions, I aim to convey to the student a sense of the utility of calculus and develop technical competence, but I also strive to give some appreciation for the intrinsic beauty of the subject. Newton undoubtedly experienced a sense of triumph when he made his great discoveries. I want students to share some of that excitement.
The emphasis is on understanding concepts. I think that nearly everybody agrees that this should be the primary goal of calculus instruction. In fact, the impetus for the current calculus reform movement came from the Tulane Conference in 1986, which formulated as their first recommendation.Parametric Equations and Polar Coordinates
Infinite Sequences and Series
Vectors and the Geometry of Space
Vector Functions
Partial Derivatives
Multiple Integrals
Vector Calculus
Second-Order Differential Equations