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Complex Analysis with Applications

Author(s):
Publisher:

Springer

Pages: 494
Further Actions:

Recommend to library

AVAILABLE FORMATS

Paperback - 9783030067885

13 December 2018

$59.99

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Hardcover - 9783319940625

23 October 2018

$59.99

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Ebook - 9783319940632

12 October 2018

$44.99

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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...

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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.

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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

 

1. Complex Numbers and Functions
2. Analytic Functions
3. Complex Integration
4. Series of Analytic Functions and Singularities
5. Residue Theory
6. Harmonic Functions and Applications
7. Conformal Mappings
Appendix
Index.
“The book is a clear and rigorous introduction to complex analysis and its applications in applied mathematics, engineering and physics. … Each section of the book contains a great number of examples and exercises.” (Dorina Raducanu, zbMATH 1409.30001, 2019)
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​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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​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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