03511nam a22005295i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001600186072002300202072001500225100009300240245011500333250001800448264006900466300005300535336002600588337002600614338003600640347002400676505053100700520109901231650003602330650002402366650003402390650003802424650003502462650002802497650003602525650002402561650005702585650005202642650002802694710003402722773002602756776003602782776003602818776003602854856004602890912001402936912001402950999001702964978-3-031-47483-5DE-He21320251030110848.0cr nn 008mamaa231206s2024 sz | s |||| 0|eng d a97830314748359978-3-031-47483-57 a10.1007/978-3-031-47483-52doi 4aTA329-348 7aTBJ2bicssc 7aMAT0030002bisacsh 7aTBJ2thema1 aRahmani-Andebili, Mehdi.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut96726710aCalculus IIIh[electronic resource] :bPractice Problems, Methods, and Solutions /cby Mehdi Rahmani-Andebili. a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024. aIX, 140 p. 13 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aProblems: Multivariable Functions -- Solutions of Problems: Multivariable Functions -- Problems: Lines, Surfaces, and Vector Functions -- Solutions of Problems: Lines, Surfaces, and Vector Functions -- Problems: Multivariable Integrals -- Solutions of Problems: Multivariable Integrals -- Problems: Vector Fields and Line and Surface Integrals -- Solutions of Problems: Vector Fields and Line and Surface Integrals -- Problems: Vectors and Vector-valued Functions -- Solutions of Problems: Vectors and Vector-valued Functions. aThis study guide is designed for students taking a Calculus III course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes linear algebra and analytical geometry; lines, surfaces, and vector functions in three-dimensional coordinate systems; multiple-variable functions; multiple integrals and their applications; line integrals and their applications. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students’ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based courses. Exercises cover a wide selection of basic and advanced questions and problems; Arranges problems by difficulty level, catering to both well-prepared and less-experienced students; Provides detailed and instructor-recommended solutions and methods, along with clear explanations. 0aEngineering mathematics.964145 0aMathematics.965523 0aMathematical analysis.964178 0aMathematical optimization.965522 0aCalculus of variations.967268 0aDifferential equations.14aEngineering Mathematics.96414524aMathematics.96552324aIntegral Transforms and Operational Calculus.96726924aCalculus of Variations and Optimization.96727024aDifferential Equations.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303147482808iPrinted edition:z978303147484208iPrinted edition:z978303147485940uhttps://doi.org/10.1007/978-3-031-47483-5 aZDB-2-ENG aZDB-2-SXE c56753d56753