Best Reference Books – Complex Analysis

«
»
We have compiled the list of Top 10 Best Reference Books on Complex Analysis subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Complex Analysis along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Complex Analysis subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Complex Analysis" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Complex Variables and Applications” by R V Churchill and J W Brown

“Complex Variables and Applications” Book Review: The book is an updated and revised piece of work featuring the latest aspects and recent developments in the theory and application of functions of a complex variable. The book reflects an efficient theory that is prominent in applications of the subject. The chapters of the book contain proofs and discussions of complex results in advanced calculus. The book will be suitable for the students, researchers, and professionals of engineering and sciences.

2. “Complex Analysis” by J M Howie

advertisement
“Complex Analysis” Book Review: The book is written from both theoretical as well as practical point-of-view and aims at presenting the latest information on complex analysis. The book lays an emphasis on basic points and classical theories. The topics and ideologies featured in this book are clearly explained with the help of worked examples. The book highlights technology, illustrations, and problem sets, hence enabling the readers in developing an intuitive understanding of the material. This book is an excellent resource for the students and professionals of mathematics and engineering.

3. “Complex Variables- Introduction and Applications” by M J Ablowitz and A S Fokas

“Complex Variables- Introduction and Applications” Book Review: The book aims at presenting the relevant methods for dealing with the problems faced during complex analysis. It begins with an introduction of complex variables, and features topics like analytic functions, integration, series, residue calculus, transform methods, ODEs in the complex plane, and numerical methods. Moving on, the advanced topics like conformal mappings, asymptotic expansions, and Riemann–Hilbert problems are discussed in detail. The book is supported by an array of applications, illustrative examples, and homework exercises. . This book will be a valuable source for the undergraduate and introductory graduate level courses in complex variables.

4. “Advanced Engineering Mathematics” by E Kreyszig

advertisement
advertisement
“Advanced Engineering Mathematics” Book Review: The book is an up-to-date edition featuring, latest theory and recent developments in advanced engineering mathematics. The chapters of this book are broadly based on linear algebra, vector calculus, Fourier analysis, partial differential equations, complex analysis, numerical methods, optimization, graphs, and probability and statistics. The topics and methods featured in this book are comprehensive, clear-cut, and elaborated with careful and correct mathematics. For better understanding and self-study of the readers, it consists of several exercises. The book will be suitable for the students, researchers, and professionals of mathematics, science, and engineering.

5. “Complex Analysis” by Joseph Bak and Donald J Newman

“Complex Analysis” Book Review: The book is a balanced text featuring complex analysis from both theoretical as well as practical point-of-view. The authentic complex-variable ideas and techniques are introduced in this text. The chapters of this book consist of advanced concepts from several-variable calculus and topology. The book is elaborated and enhanced with the help of several illustrations, examples, and exercises. This book will be suitable for the students and professionals of engineering.

6. “Complex Analysis” by Ahlfors

advertisement
“Complex Analysis” Book Review: The book focuses on the advanced and state-of-the-art aspects of functions of one complex variable. The chapters of this book cover all the major topics related to complex functions, change of length and area under conformal mapping, analytic functions, and complex Integration. The general form of Cauchy’s theorem is explained quite efficiently. The topics featured in this book are accurate, precise, and consist of many modern notations and terminologies. The book will be valuable for the students and professionals of mathematics.

7. “Introductory Complex Analysis” by Richard A Silverman

“Introductory Complex Analysis” Book Review: The book is an updated and revised piece of work presenting latest information on practical approaches on problem sets in complex analysis. The initial chapters of the book cover basics of complex analysis along with the definition of complex numbers, their geometric representation, their algebra, powers and roots of complex numbers, set theory, and complex functions and sequences. The remaining chapters describe topics like circle-preserving property, exponentials and logarithms, complex integrals and the Cauchy theorem, complex series, power series, Laurent series, harmonic functions, partial fraction expansions, conformal mapping, and analytic continuation. A chapter dedicated to residue theorem and its implications is added to this book. For better understanding of the readers many examples and problems are included in this text. The book will be an asset for a graduate or undergraduate course in complex analysis.

8. “Complex Analysis” by Elias M Stein and Rami Shakarchi

advertisement
“Complex Analysis” Book Review: The book is an updated and revised piece of writing reflecting the latest theory and practical exercises in complex analysis. The major topics like the Cauchy theorems, residues, analytic continuation, and argument principle are thoroughly explained. The chapters of this book are balanced between conceptual insights and the technical underpinnings. The content of this book is supported by several examples and applications. The book will be a great source of information for the students of mathematics, physics, engineering and other sciences.

9. “A First Course in Complex Analysis” by Matthias Beck

“A First Course in Complex Analysis” Book Review: The book focuses on presenting a suitable introduction of complex analysis. The major topics related to complex numbers, differentiation, functions, integration, Cauchy’s theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, and Residue theorem are described in detail. The book is illustrated with numerous relatable examples. The applications of featured topics and theorems are highlighted in this text. The book will be beneficial for the students and professionals related to research and engineering.

10. “Visual Complex Analysis” by Tristan Needham

advertisement
“Visual Complex Analysis” Book Review: The book is an excellent blend of both theoretical and practical aspects of complex analysis. The initial section of the book covers topics like geometry and complex arithmetic, complex functions as transformations, mobulus transformations and inversion, and differentiation. The final section features non-Euclidean geometry, winding number and topology, complex integration, Cauchy’s theorem, vector fields, and flow and harmonic functions. The text is supported with several diagrams in order to provide a visual insightful introduction of complex analysis. Each chapter ends with a number of exercises. The book will be suitable for the undergraduate students of mathematics and sciences. The professional mathematicians will also find this text valuable.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Complex Analysis – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Complex Analysis" so that one can readily see the list of top books on "Complex Analysis" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Complex Analysis subject, please let us know.

Sanfoundry Global Education & Learning Series – Best Reference Books!

Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!
advertisement
advertisement
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter