Kindly note that we have put a lot of effort into researching the best books on Set Theory and 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 "Set Theory and 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. “Theory of Functions Vol. I & II” by K Knopp
“Theory of Functions Vol. I & II” Book Review: This book explains the theory of function. Main topics included are absolute convergence test, boundary set, cauchy Integral formula, closed curve theorem. Other topics included are Fixed point fundamental theorem, identity theorem for power series, Jordan’s inequality, Laplace equation. All the topics and methods are described in detail with proper examples. Multiple illustrations are discussed that shows the students can get the most out of the chapters. This book is beneficial for undergraduate mathematics and engineering students.


2. “The Theory of Functions” by E C Titchmarsh  
3. “Functions of One Complex Variable” by J B Conway
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“Functions of One Complex Variable” Book Review: This book covers the basic concepts of theory of functions of one complex variable. Main topics mentioned are the complex number system, metric spaces in the topology, elementary properties and examples of analytical function. Other chapters mentioned are complex integration, singularities, the maximum models’ theorem, compactness and convergence in the space of analytical functions. All the theorems and functions are mentioned in a detailed manner with proper figures. Bibliography and a list of symbols is added at the end of the book. This book is suitable for undergraduate mathematics students.


4. “Introduction to the Theory of Functions of a Complex Variable” by E T Copson
“Introduction to the Theory of Functions of a Complex Variable” Book Review: This book is an introduction to the theory of functions of a complex variable. Main chapters included are complex numbers, the convergence of infinite series, functions of complex variable, uniform convergence. Other topics included are integral functions, the calculus of residues, Conformal representation, the gamma function, Jacobi’s elliptic function. Total 15 chapters are discussed in detail in this book. proper equations and figures are provided to explain the text easily. Students studying graduate level mathematics and engineering can use this book.
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5. “Complex Analysis” by L V Ahlfors
“Complex Analysis” Book Review: This book provides information about functions of a complex variable. Main topics included are the algebra of complex numbers, the geometric representation of complex numbers, elementary theory of power series. Other topics included are Exponential and trigonometric function, Elementary point set topology, elementary conformal mapping. A short section on Riemann Zeta function is also added in this book. Numerous examples and illustrations are provided for better understanding. Students studying graduate level mathematics can refer to this book.


6. “Complex Analysis: A First Course with Applications” by Dennis G Zill and Patrick D Shanahan
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“Complex Analysis: A First Course with Applications” Book Review: This book covers the introductory course on complex analysis with applications. Main topics discussed are complex numbers in the complex plane, complex functions and mappings, analytical functions. Other chapters mentioned are integration in the complex plane, series, conformal mapping and residues. Each chapter contains extensive exercises for the practice of students. Proper examples in illustrations are provided to explain the main topics and its applications. at the end of each chapter review quiz is also provided for students to test their knowledge. This book is beneficial for graduate level mathematics and engineering students.


7. “The Elements of Set Theory” by Kumar  
8. “A Book of Set Theory (Dover Books on Mathematics)” by Charles C Pinter
“A Book of Set Theory (Dover Books on Mathematics)” Book Review: This book describes the concepts regarding set theory. Main topics included are elementary set theory, growth of set theory, various systems of axiomatic set theory. Chapters such as Classes and sets, functions, relations, partially ordered classes and the axiom of choice are also included. Proper illustrations in examples are provided on several topics. students studying advanced level mathematics can refer to this book.
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9. “Foundations Of Complex Analysis” by S Ponnusamy
“Foundations of Complex Analysis” Book Review: This book explains the core principles of complex analysis. Chapters included are basic analysis, concepts in metric spaces, banach spaces, normed spaces, Approximation in function spaces. Other topics included are orthogonal family of actors, cardinality theorem for orthonormal basis, Hilbert spaces. End of chapter exercises are added for students to practice. Wellstructured examples and their solutions are provided for students to understand the topic easily. This book is beneficial for undergraduate mathematics and engineering students.


10. “Complex Analysis” by Vasishtha
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“Complex Analysis” Book Review: This book discusses the main and fundamental concepts of complex analysis. Main topics mentioned are analytical function, complex functions and mappings, integration in the complex plane. Other chapters included are conformal mapping, Taylor series, independence of path, trigonometric and hyperbolic functions. applications of each function and theorems are also provided in each chapter. proper illustrations and equations are provided to make the text easily understandable. Students studying undergraduate mathematics and engineering can refer to this book.


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