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Solving Problems in Mathematical Analysis, Part III

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

Authors:

  • Offers an extensive list of completely solved problems in mathematical analysis
  • Covers curves and surfaces, conditional extremes, curvilinear integrals, complex functions, singularities and Fourier series
  • Additional exercises at the end of each chapter provide rich material for independent study

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
  2. Examining Curves and Surfaces

    • Tomasz Radożycki
    Pages 1-39
  3. Investigating Conditional Extremes

    • Tomasz Radożycki
    Pages 41-66
  4. Investigating Integrals with Parameters

    • Tomasz Radożycki
    Pages 67-102
  5. Examining Unoriented Curvilinear Integrals

    • Tomasz Radożycki
    Pages 103-122
  6. Examining Differential Forms

    • Tomasz Radożycki
    Pages 123-178
  7. Examining Oriented Curvilinear Integrals

    • Tomasz Radożycki
    Pages 179-218
  8. Studying Functions of Complex Variable

    • Tomasz Radożycki
    Pages 219-266
  9. Investigating Singularities of Complex Functions

    • Tomasz Radożycki
    Pages 267-314
  10. Dealing with Multivalued Functions

    • Tomasz Radożycki
    Pages 315-358
  11. Studying Fourier Series

    • 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 undergraduatestudents 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.


Authors and Affiliations

  • Faculty of Mathematics and Natural Sciences, College of Sciences Cardinal Stefan Wyszyński University, Warsaw, Poland

    Tomasz Radożycki

About the author

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

  • DOI: https://doi.org/10.1007/978-3-030-38596-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-38595-8Published: 25 February 2020

  • eBook ISBN: 978-3-030-38596-5Published: 24 February 2020

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: IX, 378

  • Number of Illustrations: 76 b/w illustrations

  • 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

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access