# Solving Problems in Mathematical Analysis, Part II

## Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations

Textbook

Part of the Problem Books in Mathematics book series (PBM)

1. Front Matter
Pages i-xi
Pages 1-51
Pages 53-74
Pages 75-109
Pages 111-124
Pages 125-140
Pages 141-166
Pages 167-186
Pages 187-205
Pages 207-250
Pages 251-278
Pages 279-312
Pages 313-335
Pages 337-379
15. Back Matter
Pages 381-384

### Introduction

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.

### Keywords

calculus multivariable functions Riemann’s integral definite integrals improper integrals lengths of curves surface areas applications of integrals differential equations multidimensional integrals

#### Authors and affiliations

1. 1.Faculty of Mathematics and Natural Sciences, College of SciencesCardinal Stefan Wyszyński UniversityWarsawPoland

#### About the authors

Tomasz Radożycki is a Professor at the Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University in Warsaw, Poland. He is also a former lecturer at both the University of Warsaw and the Warsaw University of Technology. His primary research interest is in Theoretical and Mathematical Physics.

### Bibliographic information

• Book Title Solving Problems in Mathematical Analysis, Part II
• Book Subtitle Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations
• Authors Tomasz Radożycki
• Series Title Problem Books in Mathematics
• Series Abbreviated Title Problem Books Mathematics
• DOI https://doi.org/10.1007/978-3-030-36848-7
• Copyright Information Springer Nature Switzerland AG 2020
• Publisher Name Springer, Cham
• eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
• Hardcover ISBN 978-3-030-36847-0
• eBook ISBN 978-3-030-36848-7
• Series ISSN 0941-3502
• Series E-ISSN 2197-8506
• Edition Number 1
• Number of Pages XI, 384
• Number of Illustrations 54 b/w illustrations, 0 illustrations in colour
• Additional Information English translation of the original Polish edition published by FOSZE, Rzeszów, 2013
• Topics
• Buy this book on publisher's site