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Complex Analysis and Special Functions
  • Language: en
  • Pages: 362

Complex Analysis and Special Functions

The first two parts of this book focus on developing standard analysis concepts in the extended complex plane. We cover differentiation and integration of functions of one complex variable. Famous Cauchy formulas are established and applied in the frame of residue theory. Taylor series is used to investigate analytic functions, and they are connected to harmonic functions. Laurent series theory is developed. The third part of the book finds applications of the earlier chapter in conformal mappings and the Laplace transform. Special functions solving ordinary differential equations are studied extensively, along with their asymptotic behavior. A highlight of the book is the elliptic function of Weierstrass and Jacobi. Finally, we present Laplace’s method, which is applied to find large arguments asymptotic of some special functions. The book is filled with examples, exercises, and problems of varying degrees of difficulty. This makes it useful to all students in mathematics, physics, and related fields.

Intelligent Engineering Applications and Applied Sciences for Sustainability
  • Language: en
  • Pages: 568

Intelligent Engineering Applications and Applied Sciences for Sustainability

  • Type: Book
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  • Published: 2023-08-25
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  • Publisher: IGI Global

Engineering plays a major role in solving real-world problems, from small inconveniences to societal or global concerns around food scarcity, water shortages, environmental damage, problems in housing or infrastructure and more. In today's rapidly evolving world, the development of the latest generation of engineering and technology is crucial for maintaining productivity, innovation, and improving our overall quality of life. Intelligent Engineering Applications and Applied Sciences for Sustainability is an essential research book that serves as a compilation of cutting-edge research and advancements in engineering, science, and technology, and more importantly, how the application of these...

Topics in Complex Analysis
  • Language: en
  • Pages: 308

Topics in Complex Analysis

This graduate-level mathematics textbook provides an in-depth and readable exposition of selected topics in complex analysis. The material spans both the standard theory at a level suitable for a first-graduate class on the subject and several advanced topics delving deeper into the subject and applying the theory in different directions. The focus is on beautiful applications of complex analysis to geometry and number theory. The text is accompanied by beautiful figures illustrating many of the concepts and proofs. Among the topics covered are asymptotic analysis; conformal mapping and the Riemann mapping theory; the Euler gamma function, the Riemann zeta function, and a proof of the prime ...

Mathematics and Computing
  • Language: en
  • Pages: 500

Mathematics and Computing

  • Type: Book
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  • Published: 2015-06-25
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  • Publisher: Springer

This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. This is the second conference on mathematics and computing organized at Haldia Institute of Technology, India. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, o...

Current Topics in Pure and Computational Complex Analysis
  • Language: en
  • Pages: 258

Current Topics in Pure and Computational Complex Analysis

  • Type: Book
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  • Published: 2014-12-02
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  • Publisher: Springer

The book contains 13 articles, some of which are survey articles and others research papers. Written by eminent mathematicians, these articles were presented at the International Workshop on Complex Analysis and Its Applications held at Walchand College of Engineering, Sangli. All the contributing authors are actively engaged in research fields related to the topic of the book. The workshop offered a comprehensive exposition of the recent developments in geometric functions theory, planar harmonic mappings, entire and meromorphic functions and their applications, both theoretical and computational. The recent developments in complex analysis and its applications play a crucial role in research in many disciplines.

Complex Analysis
  • Language: en
  • Pages: 422

Complex Analysis

This book is an in-depth and modern presentation of important classical results in complex analysis and is suitable for a first course on the topic, as taught by the authors at several universities. The level of difficulty of the material increases gradually from chapter to chapter, and each chapter contains many exercises with solutions and applications of the results, with the particular goal of showcasing a variety of solution techniques.

Proceedings of the Sixth International Conference on Mathematics and Computing
  • Language: en
  • Pages: 567

Proceedings of the Sixth International Conference on Mathematics and Computing

This book features selected papers from the 6th International Conference on Mathematics and Computing (ICMC 2020), organized by Sikkim University, Gangtok, Sikkim, India, during September 2020. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry.

Pure Mathematics and Applications
  • Language: en
  • Pages: 534

Pure Mathematics and Applications

  • Type: Book
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  • Published: 2005
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  • Publisher: Unknown

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Itinerant Seminar on Functional Equations, Approximation and Convexity
  • Language: en
  • Pages: 332

Itinerant Seminar on Functional Equations, Approximation and Convexity

  • Type: Book
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  • Published: 1988
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  • Publisher: Unknown

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Mathematica - revue d'analyse numérique et de théorie de l'approximation
  • Language: en
  • Pages: 536

Mathematica - revue d'analyse numérique et de théorie de l'approximation

  • Type: Book
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  • Published: 2001
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  • Publisher: Unknown

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