An Illustrative Guide to Multivariable and Vector Calculus (9783030334581)

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This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization. With over one hundred 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.

Emphasizing portability, this book is an ideal complement to other references in the area. It begins by exploring preliminary ideas such as vector algebra, sets, and coordinate systems, before moving into the core areas of multivariable differentiation and integration, and vector calculus. Sections on the chain rule for second derivatives, implicit functions, PDEs, and the method of least squares offer additional depth; ample illustrations are woven throughout. Mastery Checks engage students in material on the spot, while longer exercise sets at the end of each chapter reinforce techniques.

An Illustrative Guide to Multivariable and Vector Calculus 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.

Product details

• Format Hardback | 309 pages
• Dimensions 155 x 235 x 20.32mm | 792g
• Publication date 18 Feb 2020
• Publisher Springer Nature Switzerland AG
• Publication City/Country Cham, Switzerland
• Language English
• Edition Statement 1st ed. 2020
• Illustrations note 181 Tables, color; 183 Illustrations, color; 101 Illustrations, black and white; XVI, 309 p. 284 illus., 183 illus. in color.
• ISBN10 3030334589
• ISBN13 9783030334581
• Bestsellers rank 1,122,681

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