LEADER 03089nam 22004455 450 001 996418273603316 005 20200703184816.0 010 $a3-030-33459-7 024 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(EXLCZ)994100000010480409 100 $a20200217d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a An Illustrative Guide to Multivariable and Vector Calculus$b[electronic resource] /$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 $a3-030-33458-9 327 $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 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. 606 $aCalculus 606 $aCalculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12220 615 0$aCalculus. 615 14$aCalculus. 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 $a996418273603316 996 $aAn Illustrative Guide to Multivariable and Vector Calculus$92139512 997 $aUNISA