Advances In Real And Complex Analysis With Applications

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Advances in Real and Complex Analysis with Applications

Author : Michael Ruzhansky
Publisher : Birkhäuser
ISBN 13 : 981104337X
Total Pages : 301 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advances in Real and Complex Analysis with Applications by : Michael Ruzhansky

Download or read book Advances in Real and Complex Analysis with Applications written by Michael Ruzhansky and published by Birkhäuser. This book was released on 2017-10-03 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

Real and Complex Clifford Analysis

Author : Sha Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0387245367
Total Pages : 257 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Real and Complex Clifford Analysis by : Sha Huang

Download or read book Real and Complex Clifford Analysis written by Sha Huang and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.

Complex Analysis with Applications

Author : Richard A. Silverman
Publisher : Courier Corporation
ISBN 13 : 9780486647623
Total Pages : 308 pages
Book Rating : 4.6/5 (476 download)

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Book Synopsis Complex Analysis with Applications by : Richard A. Silverman

Download or read book Complex Analysis with Applications written by Richard A. Silverman and published by Courier Corporation. This book was released on 1984-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Real and Complex Analysis

Author : Christopher Apelian
Publisher : CRC Press
ISBN 13 : 9781584888079
Total Pages : 567 pages
Book Rating : 4.8/5 (88 download)

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Book Synopsis Real and Complex Analysis by : Christopher Apelian

Download or read book Real and Complex Analysis written by Christopher Apelian and published by CRC Press. This book was released on 2009-12-08 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents Real & Complex Analysis Together Using a Unified Approach A two-semester course in analysis at the advanced undergraduate or first-year graduate level Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA’s 2004 Curriculum Guide. By presenting real and complex analysis together, the authors illustrate the connections and differences between these two branches of analysis right from the beginning. This combined development also allows for a more streamlined approach to real and complex function theory. Enhanced by more than 1,000 exercises, the text covers all the essential topics usually found in separate treatments of real analysis and complex analysis. Ancillary materials are available on the book’s website. This book offers a unique, comprehensive presentation of both real and complex analysis. Consequently, students will no longer have to use two separate textbooks—one for real function theory and one for complex function theory.

Real and Complex Analysis

Author : Rajnikant Sinha
Publisher : Springer
ISBN 13 : 9811309388
Total Pages : 645 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Real and Complex Analysis by : Rajnikant Sinha

Download or read book Real and Complex Analysis written by Rajnikant Sinha and published by Springer. This book was released on 2018-11-04 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.

Advances in Complex Analysis and Applications

Author : Francisco Bulnes
Publisher : BoD – Books on Demand
ISBN 13 : 1839683600
Total Pages : 172 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Advances in Complex Analysis and Applications by : Francisco Bulnes

Download or read book Advances in Complex Analysis and Applications written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2020-11-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.

Complex Analysis with Applications

Author : Nakhlé H. Asmar
Publisher : Springer
ISBN 13 : 3319940635
Total Pages : 494 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Complex Analysis with Applications by : Nakhlé H. Asmar

Download or read book Complex Analysis with Applications written by Nakhlé H. Asmar and published by Springer. This book was released on 2018-10-12 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Analysis

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1475718713
Total Pages : 380 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Complex Analysis by : Serge Lang

Download or read book Complex Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom mend to anyone to look through them. More recent texts have empha sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts.

Several Complex Variables and the Geometry of Real Hypersurfaces

Author : John P. D'Angelo
Publisher : Routledge
ISBN 13 : 1351416715
Total Pages : 319 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Several Complex Variables and the Geometry of Real Hypersurfaces by : John P. D'Angelo

Download or read book Several Complex Variables and the Geometry of Real Hypersurfaces written by John P. D'Angelo and published by Routledge. This book was released on 2019-07-16 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the ?-Neumann problem on pseudoconvex domains with a real analytic boundary. The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties. You will learn how to decide whether a real hypersurface contains complex varieties, how closely such varieties can contact the hypersurface, and why it's important. The book concludes with two sets of problems: routine problems and difficult problems (many of which are unsolved). Principal prerequisites for using this book include a thorough understanding of advanced calculus and standard knowledge of complex analysis in one variable. Several Complex Variables and the Geometry of Real Hypersurfaces will be a useful text for advanced graduate students and professionals working in complex analysis.

Advanced Real Analysis

Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
ISBN 13 : 0817644423
Total Pages : 466 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advanced Real Analysis by : Anthony W. Knapp

Download or read book Advanced Real Analysis written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2008-07-11 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

Fundamentals and Applications of Complex Analysis

Author : Harold Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 9780306477485
Total Pages : 442 pages
Book Rating : 4.4/5 (774 download)

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Book Synopsis Fundamentals and Applications of Complex Analysis by : Harold Cohen

Download or read book Fundamentals and Applications of Complex Analysis written by Harold Cohen and published by Springer Science & Business Media. This book was released on 2003-07-31 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.

Introductory Complex Analysis

Author : Richard A. Silverman
Publisher : Courier Corporation
ISBN 13 : 0486318524
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introductory Complex Analysis by : Richard A. Silverman

Download or read book Introductory Complex Analysis written by Richard A. Silverman and published by Courier Corporation. This book was released on 2013-04-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

A Guide to Advanced Real Analysis

Author : G. B. Folland
Publisher : American Mathematical Soc.
ISBN 13 : 0883859157
Total Pages : 107 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Guide to Advanced Real Analysis by : G. B. Folland

Download or read book A Guide to Advanced Real Analysis written by G. B. Folland and published by American Mathematical Soc.. This book was released on 2014-05-14 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise guide to the core material in a graduate level real analysis course.

Complex Analysis

Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 1400831156
Total Pages : 398 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Complex Analysis by : Elias M. Stein

Download or read book Complex Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2010-04-22 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Real and Complex Analysis

Author : Walter Rudin
Publisher :
ISBN 13 : 9780070995574
Total Pages : 452 pages
Book Rating : 4.9/5 (955 download)

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Book Synopsis Real and Complex Analysis by : Walter Rudin

Download or read book Real and Complex Analysis written by Walter Rudin and published by . This book was released on 1978 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Mathematical Analysis and its Applications

Author : Bipan Hazarika
Publisher : CRC Press
ISBN 13 : 1000824438
Total Pages : 338 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Advances in Mathematical Analysis and its Applications by : Bipan Hazarika

Download or read book Advances in Mathematical Analysis and its Applications written by Bipan Hazarika and published by CRC Press. This book was released on 2022-12-12 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. Features: The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. It offers an understanding of research problems by presenting the necessary developments in reasonable details The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications. The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.

Elementary Real and Complex Analysis

Author : Georgi E. Shilov
Publisher : Courier Corporation
ISBN 13 : 9780486689227
Total Pages : 548 pages
Book Rating : 4.6/5 (892 download)

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Book Synopsis Elementary Real and Complex Analysis by : Georgi E. Shilov

Download or read book Elementary Real and Complex Analysis written by Georgi E. Shilov and published by Courier Corporation. This book was released on 1996-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.