LEADER 03243nam 22005055 450 001 9910483403203321 005 20251020044853.0 010 $a9783030334598 010 $a3030334597 024 7 $a10.1007/978-3-030-33459-8 035 $a(CKB)4100000010480409 035 $a(DE-He213)978-3-030-33459-8 035 $a(MiAaPQ)EBC6114144 035 $a(PPN)242981402 035 $a(MiAaPQ)EBC31886858 035 $a(Au-PeEL)EBL31886858 035 $a(OCoLC)1142512235 035 $a(EXLCZ)994100000010480409 100 $a20200217d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Illustrative Guide to Multivariable and Vector Calculus /$fby Stanley J. Miklavcic 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XVI, 309 p. 284 illus., 183 illus. in color.) 311 08$a9783030334581 311 08$a3030334589 327 $a1. Preliminary Ideas -- 2. Introduction to Differentiation -- 3. Applications of the Differential Calculus -- 4. Introduction to Integration -- 5. Vector Calculus -- Glossary of Symbols -- Bibliography -- Index. 330 $aThis 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. 606 $aMathematical analysis 606 $aIntegral Transforms and Operational Calculus 615 0$aMathematical analysis. 615 14$aIntegral Transforms and Operational Calculus. 676 $a515 700 $aMiklavcic$b Stanley J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0946979 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483403203321 996 $aIllustrative Guide to Multivariable and Vector Calculus$92983602 997 $aUNINA