Solving problems in mathematical analysis. Part II, Definite, improper and multidimensional integrals, functions of several variables and differential equations

• 作者： Radozycki, Tomasz, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Rozwiazujemy zadania z analizy matematycznej.
  • Definite, improper and multidimensional integrals, functions of several variables and differential equations
  • Problem books in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Problem books in mathematics,
• 主題： Mathematical analysis. , Calculus. , Ordinary Differential Equations. , Difference and Functional Equations. , Real Functions.
• ISBN： 9783030368487 (electronic bk.) 、 9783030368470 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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