Best Reference Books – Complex Analysis and Partial Differential Equation

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We have compiled the list of Top 10 Best Reference Books on Complex Analysis and Partial Differential Equation 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 and Partial Differential Equation along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Complex Analysis and Partial Differential Equation 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 and Partial Differential Equation" 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. “Advanced Engineering Mathematics” by E Kreyszig

“Advanced Engineering Mathematics” Book Review: The book is an updated and revised piece of work featuring the latest theory and recent developments in advanced engineering mathematics. The chapters of this book cover all the major topics related to linear algebra, vector calculus, Fourier analysis, partial differential equations, complex analysis, numerical methods, optimization, graphs, and probability and statistics. The featured topics are compact, precise, and elaborated with careful and correct mathematics. It consists of several exercises for self-study and practice of the readers. The book will be suitable for the students, researchers, and professionals of mathematics, science, and engineering.

2. “Elementary Differential Equations” by W E Boyce and R DiPrima

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“Elementary Differential Equations” Book Review: The book is written from both theoretical as well as practical point-of-view and aims at presenting latest information on Differential Equations. It focuses on the methods of solution, analysis, and approximation. The book uses technology, illustrations, and problem sets, hence enabling the readers to develop an insightful understanding of the featured topics and concepts. The applications of differential equations in various fields of engineering and sciences are highlighted in this text. This book is an excellent resource for the advanced students interested in differential equations.

3. “Higher Mathematics in Problems and Exercises” by P E Danko
4. “Partial Differential Equations for Scientists and Engineers” by Stanley J Farlow

“Partial Differential Equations for Scientists and Engineers” Book Review: This book will be a great source of information for the advanced undergraduate and graduate students of engineering and sciences as well as the professionals of applied sciences. It is an updated and revised piece of work featuring latest theory and recent developments in partial differential equations. The chapters of this book address physical problems like constructing the mathematical model as well as the process of solving the equation along with initial and boundary conditions. The book is a clear presentation of realistic and practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods.

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

“Complex Analysis” Book Review: The book aims at presenting the major aspects and basic concepts of complex analysis from both theoretical as well as practical perspective. The chapters of this book feature advanced concepts from several-variable calculus and topology. The authentic complex-variable ideas and techniques are also introduced in this text. To give the book’s content visual support many illustrations, examples, exercises are included. This book will be a valuable text for the students and professionals of engineering.

6. “Complex Analysis” by Ahlfors

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“Complex Analysis” Book Review: The book is an updated and revised piece of work featuring latest theory and recent developments related to functions of one complex variable. The topics like complex functions, change of length and area under conformal mapping, Analytic functions, complex Integration, and general form of Cauchy’s theorem are thoroughly explained. The chapters of this book are quite accurate and consist of state-of-the-art notations and terminologies. The book will be beneficial for the students and professionals of mathematics.

7. “Introductory Complex Analysis” by Richard A Silverman

“Introductory Complex Analysis” Book Review: The book is written from both theoretical as well as practical point-of-view and aims in presenting latest information on practical approach on problem sets in complex analysis. The initial section of the book covers the 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. Moving on, the 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. The residue theorem and its implications are mentioned in this book. The content of this book is supported by several examples and problems. The book will be useful for a graduate or undergraduate course in complex analysis.

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

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“Complex Analysis” Book Review: The book is an updated and revised piece of work featuring latest theory and practical exercises in complex analysis. The chapters of this book are an excellent blend of conceptual insights and the technical underpinnings. The topics like the Cauchy theorems, residues, analytic continuation, the argument principle are described efficiently. The book is enriched with numerous examples and applications. This book will be an ideal source 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 aims at presenting a fair introduction of complex analysis. The chapters of this book covers all the major topics of complex numbers, differentiation, functions, integration, Cauchy’s theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, and Residue theorem. The book consists of numerous examples and applications throughout the chapters. The applications of featured topics and theorems are mentioned in this text. Few concepts from real analysis are used. This book is an excellent resource for students and professionals in all branches of research and engineering.

10. “Visual Complex Analysis” by Tristan Needham

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“Visual Complex Analysis” Book Review: The book covers both theoretical as well as practical concepts of complex analysis. The initial chapters describe topics like geometry and complex arithmetic, complex functions as transformations, mobulus transformations and inversion, and differentiation. The remaining chapters cover non-Euclidean geometry, winding number and topology, complex integration, Cauchy’s theorem, vector fields, and flow and harmonic functions. Each chapter ends with a bunch of exercises. The text is illustrated with several diagrams hence provides a visual intuitive introduction to complex analysis. The book is basically for the undergraduate students of mathematics and science but will be equally important professional mathematicians.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Complex Analysis and Partial Differential Equation – 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 and Partial Differential Equation" so that one can readily see the list of top books on "Complex Analysis and Partial Differential Equation" and buy the books either online or offline.

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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