© 2020

Solving Problems in Mathematical Analysis, Part III

Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, Singularities and Fourier Series


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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Tomasz Radożycki
    Pages 1-39
  3. Tomasz Radożycki
    Pages 41-66
  4. Tomasz Radożycki
    Pages 67-102
  5. Tomasz Radożycki
    Pages 103-122
  6. Tomasz Radożycki
    Pages 123-178
  7. Tomasz Radożycki
    Pages 179-218
  8. Tomasz Radożycki
    Pages 219-266
  9. Tomasz Radożycki
    Pages 267-314
  10. Tomasz Radożycki
    Pages 315-358
  11. Tomasz Radożycki
    Pages 359-374
  12. Back Matter
    Pages 375-378

About this book


This textbook offers an extensive list of completely solved problems in mathematical analysis. This third of three volumes covers curves and surfaces, conditional extremes, curvilinear integrals, complex functions, singularities and Fourier series. 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.


calculus curves surfaces conditional extremes exterior calculus differential forms curvillinear integrals functions of complex variable Fourier series

Authors and affiliations

  1. 1.Faculty of Mathematics and Natural SciencesCollege of Sciences Cardinal 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 III
  • Book Subtitle Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, Singularities and Fourier Series
  • Authors Tomasz Radożycki
  • Series Title Problem Books in Mathematics
  • Series Abbreviated Title Problem Books Mathematics
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-38595-8
  • eBook ISBN 978-3-030-38596-5
  • Series ISSN 0941-3502
  • Series E-ISSN 2197-8506
  • Edition Number 1
  • Number of Pages IX, 378
  • Number of Illustrations 76 b/w illustrations, 0 illustrations in colour
  • Additional Information English translation of the original Polish edition published by FOSZE, Rzeszów, 2015
  • Topics Calculus
    Approximations and Expansions
    Fourier Analysis
    Functions of a Complex Variable
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