LEADER 03921nam 22005775 450 001 9910254296003321 005 20200705095552.0 010 $a3-319-65070-X 024 7 $a10.1007/978-3-319-65070-8 035 $a(DE-He213)978-3-319-65070-8 035 $a(MiAaPQ)EBC6310758 035 $a(MiAaPQ)EBC5589062 035 $a(Au-PeEL)EBL5589062 035 $a(OCoLC)1015894277 035 $a(PPN)222230185 035 $a(CKB)4100000001381574 035 $a(EXLCZ)994100000001381574 100 $a20171206d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultivariable Calculus with MATLABŪ $eWith Applications to Geometry and Physics /$fby Ronald L. Lipsman, Jonathan M. Rosenberg 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 276 p. 87 illus., 86 illus. in color.) 300 $aIncludes index. 311 $a3-319-65069-6 327 $a1. Introduction -- 2. Vectors and Graphics -- 3. Geometry of Curves -- 4. Kinematics -- 5. Directional Derivatives -- 6. Geometry of Surfaces -- 7. Optimization in Several Variables -- 8. Multiple Integrals -- 9. Multidimensional Calculus -- 10. Physical Applications of Vector Calculus -- 11. MATLAB Tips -- Sample Solutions -- Index. 330 $aThis comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLABŪ brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLABŪ, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader?s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler?s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a ?mathematical methods in physics or engineering? class, for independent study, or even as the class text in an ?honors? multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students. MATLABŪ is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers. 606 $aCalculus of variations 606 $aIntegral transforms 606 $aCalculus, Operational 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aIntegral Transforms, Operational Calculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12112 615 0$aCalculus of variations. 615 0$aIntegral transforms. 615 0$aCalculus, Operational. 615 14$aCalculus of Variations and Optimal Control; Optimization. 615 24$aIntegral Transforms, Operational Calculus. 676 $a519.5350285536 700 $aLipsman$b Ronald L$4aut$4http://id.loc.gov/vocabulary/relators/aut$021863 702 $aRosenberg$b Jonathan M$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254296003321 996 $aMultivariable Calculus with MATLABŪ$92004343 997 $aUNINA