LEADER 04311nam 22006615 450 001 9910483052603321 005 20200703140511.0 010 $a3-030-36848-3 024 7 $a10.1007/978-3-030-36848-7 035 $a(CKB)4100000010480294 035 $a(DE-He213)978-3-030-36848-7 035 $a(MiAaPQ)EBC6120858 035 $a(PPN)242979386 035 $a(EXLCZ)994100000010480294 100 $a20200222d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSolving Problems in Mathematical Analysis, Part II $eDefinite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations /$fby Tomasz Rado?ycki 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XI, 384 p. 54 illus.) 225 1 $aProblem Books in Mathematics,$x0941-3502 300 $aIncludes index. 311 $a3-030-36847-5 327 $aExploring the Riemann and Definite Integral -- Examining Improper Integrals -- Applying One-Dimensional Integrals to Geometry and Physics -- Dealing with Functions of Several Variables -- Investigating Derivatives of Multivariable Functions -- Examining Higher Derivatives, Differential Expressions and the Taylor?s Formula -- Examining Extremes and Other Important Points -- Examining Implicit and Inverse Functions -- Solving Differential Equations of the First Order -- Solving Differential Equations of Higher Orders -- Solving Systems of First-Order Differential Equations -- Integrating in Many Dimensions -- Applying Multidimensional Integrals to Geometry and Physics. 330 $aThis textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author?s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study. 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aCalculus 606 $aDifferential equations 606 $aDifference equations 606 $aFunctional equations 606 $aFunctions of real variables 606 $aCalculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12220 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 615 0$aCalculus. 615 0$aDifferential equations. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aFunctions of real variables. 615 14$aCalculus. 615 24$aOrdinary Differential Equations. 615 24$aDifference and Functional Equations. 615 24$aReal Functions. 676 $a515 676 $a515 700 $aRado?ycki$b Tomasz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0977159 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483052603321 996 $aSolving Problems in Mathematical Analysis, Part II$92251884 997 $aUNINA