An Illustrative Guide to Multivariable and Vector Calculus

This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization.With nearly 200 carefully drawn color images, students who have long struggled picturing, for example, level sets or vector fields will find these abstract concepts rendered with clarity and ingenuity.This illustrative approach to the material covered in standard multivariable and vector calculus textbooks will serve as a much-needed and highly useful companion.The text will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject.Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource. The second edition has been extensively revised. Several sections in the chapters on vectors and functions, differentiation of multivariable functions, and vector calculus have been completely rewritten.Other portions of the fi