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Undergraduate Texts in Mathematics

Complex Analysis with Applications

Authors: Asmar, Nakhlé H., Grafakos, Loukas

  • Freely accessible solutions to every-other-odd exercise are posted to the book’s Springer website; Instructors contact the authors for a full solutions manual
  • Includes a plethora of worked examples and exercises with varying degrees of difficulty
  • Designed for flexible use by instructors and students
  • Numerous graphics help illustrate even the most abstract concepts
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Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-94063-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-319-94062-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for this text, are presented hand-in-hand with theory enabling this text to serve well in courses for students in engineering or applied sciences. The overall aim in designing this text is to accommodate students of different mathematical backgrounds and to achieve a balance between presentations of rigorous mathematical proofs and applications.  

The text is adapted to enable maximum flexibility to instructors and to students who may also choose to progress through the material outside of coursework. Detailed examples may be covered in one course, giving the instructor the option to choose those that are best suited for discussion. Examples showcase a variety of problems with completely worked out solutions, assisting students in working through the exercises. The numerous exercises vary in difficulty from simple applications of formulas to more advanced project-type problems.  Detailed hints accompany the more challenging problems.  Multi-part exercises may be assigned to individual students, to groups as projects, or serve as further illustrations for the instructor. Widely used graphics clarify both concrete and abstract concepts, helping students visualize the proofs of many results.

Freely accessible solutions to every-other-odd exercise are posted to the book’s Springer website. Additional solutions for instructors’ use may be obtained by contacting the authors directly.

About the authors

​Nakhlé H. Asmar is Professor of Mathematics at the University of Missouri, Columbia.
Loukas Grafakos is Professor of Mathematics at the University of Missouri at Columbia. In addition to this present UTM, Professor Grafakos has authored two GTM texts, both in their 3rd editions: Classical Fourier Analysis and Modern Fourier Analysis. Additionally, Professor Grafakos is co-Author of Harmonic and Geometric Analysis, (c) 2015, Birkhäuser.

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Table of contents (7 chapters)

  • Complex Numbers and Functions

    Asmar, Nakhlé H. (et al.)

    Pages 1-94

  • Analytic Functions

    Asmar, Nakhlé H. (et al.)

    Pages 95-138

  • Complex Integration

    Asmar, Nakhlé H. (et al.)

    Pages 139-226

  • Series of Analytic Functions and Singularities

    Asmar, Nakhlé H. (et al.)

    Pages 227-291

  • Residue Theory

    Asmar, Nakhlé H. (et al.)

    Pages 293-365

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-94063-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-319-94062-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Complex Analysis with Applications
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-94063-2
DOI
10.1007/978-3-319-94063-2
Hardcover ISBN
978-3-319-94062-5
Series ISSN
0172-6056
Edition Number
1
Number of Pages
VIII, 494
Number of Illustrations
385 b/w illustrations, 4 illustrations in colour
Topics