03243nam 22005055 450 991048340320332120251020044853.09783030334598303033459710.1007/978-3-030-33459-8(CKB)4100000010480409(DE-He213)978-3-030-33459-8(MiAaPQ)EBC6114144(PPN)242981402(MiAaPQ)EBC31886858(Au-PeEL)EBL31886858(OCoLC)1142512235(EXLCZ)99410000001048040920200217d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAn Illustrative Guide to Multivariable and Vector Calculus /by Stanley J. Miklavcic1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XVI, 309 p. 284 illus., 183 illus. in color.) 9783030334581 3030334589 1. Preliminary Ideas -- 2. Introduction to Differentiation -- 3. Applications of the Differential Calculus -- 4. Introduction to Integration -- 5. Vector Calculus -- Glossary of Symbols -- Bibliography -- Index.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 inmaterial 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.Mathematical analysisIntegral Transforms and Operational CalculusMathematical analysis.Integral Transforms and Operational Calculus.515Miklavcic Stanley Jauthttp://id.loc.gov/vocabulary/relators/aut946979MiAaPQMiAaPQMiAaPQBOOK9910483403203321Illustrative Guide to Multivariable and Vector Calculus2983602UNINA