04311nam 22006615 450 991048305260332120200703140511.03-030-36848-310.1007/978-3-030-36848-7(CKB)4100000010480294(DE-He213)978-3-030-36848-7(MiAaPQ)EBC6120858(PPN)242979386(EXLCZ)99410000001048029420200222d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSolving Problems in Mathematical Analysis, Part II Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations /by Tomasz Radożycki1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XI, 384 p. 54 illus.) Problem Books in Mathematics,0941-3502Includes index.3-030-36847-5 Exploring 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.This 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.Problem Books in Mathematics,0941-3502CalculusDifferential equationsDifference equationsFunctional equationsFunctions of real variablesCalculushttps://scigraph.springernature.com/ontologies/product-market-codes/M12220Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Difference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Real Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Calculus.Differential equations.Difference equations.Functional equations.Functions of real variables.Calculus.Ordinary Differential Equations.Difference and Functional Equations.Real Functions.515515Radożycki Tomaszauthttp://id.loc.gov/vocabulary/relators/aut977159MiAaPQMiAaPQMiAaPQBOOK9910483052603321Solving Problems in Mathematical Analysis, Part II2251884UNINA