Solving Problems in Mathematical Analysis, Part I

Sets, Functions, Limits, Derivatives, Integrals, Sequences and Series

  • Tomasz Radożycki

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Tomasz Radożycki
    Pages 1-29
  3. Tomasz Radożycki
    Pages 31-49
  4. Tomasz Radożycki
    Pages 51-62
  5. Tomasz Radożycki
    Pages 63-87
  6. Tomasz Radożycki
    Pages 131-141
  7. Tomasz Radożycki
    Pages 143-158
  8. Tomasz Radożycki
    Pages 181-200
  9. Tomasz Radożycki
    Pages 253-270
  10. Tomasz Radożycki
    Pages 271-298
  11. Tomasz Radożycki
    Pages 299-340
  12. Back Matter
    Pages 367-369

About this book


This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. 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 set theory relations metric spaces functions sequences series differentiable functions indefinite integrals functional sequences functional series

Authors and affiliations

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

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-35843-3
  • Online ISBN 978-3-030-35844-0
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site