Complex numbers in n dimensions, Olariu, S. (national Institute Of Physics And Nuclear Engineering, Bucharest, Romania)
Автор: Dennis G. Zill, Patrick D. Shanahan Название: Complex Analysis. A First Course with Applications ISBN: 1449694616 ISBN-13(EAN): 9781449694616 Издательство: Jones & Bartlett Рейтинг: Цена: 14148.00 р. Наличие на складе: Поставка под заказ.
Описание: Revision of: A first course in complex analysis with applications. -- 2nd ed. -- 2009.
Описание: This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as well as Taylor and Laurent series. Several necessary function spaces are introduced, and an operator calculus based on modifications of the Dirac, Cauchy-Fueter, and Teodorescu operators and different decompositions of quaternion Hilbert spaces are proved. Finally, hypercomplex Fourier transforms are studied in detail. All this is then applied to first-order partial differential equations such as the Maxwell equations, the Carleman-Bers-Vekua system, the Schr?dinger equation, and the Beltrami equation. The higher-order equations start with Riccati-type equations. Further topics include spatial fluid flow problems, image and multi-channel processing, image diffusion, linear scale invariant filtering, and others. One of the highlights is the derivation of the three-dimensional Kolosov-Mushkelishvili formulas in linear elasticity. Throughout the book the authors endeavor to present historical references and important personalities. The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.
Описание: At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener–Hopf methods. It also presents current advances in research, highlighting the subject’s active and fascinating frontier.The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared toward graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.
Автор: Ravi P. Agarwal; Kanishka Perera; Sandra Pinelas Название: An Introduction to Complex Analysis ISBN: 1489997164 ISBN-13(EAN): 9781489997166 Издательство: Springer Рейтинг: Цена: 7965.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This senior undergraduate/graduate level textbook has been designed for an introductory course in complex analysis for students in the applied sciences. It follows the proof-theorem approach while presenting the material as 50 class-tested lectures.
Автор: Santosh Joshi; Michael Dorff; Indrajit Lahiri Название: Current Topics in Pure and Computational Complex Analysis ISBN: 8132229401 ISBN-13(EAN): 9788132229407 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book contains 13 articles, some of which are survey articles and others research papers. 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.
Автор: Needham Название: Visual Complex Analysis ISBN: 0198534469 ISBN-13(EAN): 9780198534464 Издательство: Oxford Academ Рейтинг: Цена: 9504.00 р. Наличие на складе: Поставка под заказ.
Описание: Adopting a different approach to complex analysis, this book aims to replace the standard calculational arguments with geometric arguments. Containing many diagrams, it is useful for undergraduates in mathematics and science, and also for professional mathematicians.
Автор: Wolfgang Ebeling; Klaus Hulek; Knut Smoczyk Название: Complex and Differential Geometry ISBN: 3642269001 ISBN-13(EAN): 9783642269004 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.
Автор: Jisoo Byun; Hong Rae Cho; Sung Yeon Kim; Kang-Hyur Название: Geometric Complex Analysis ISBN: 9811316716 ISBN-13(EAN): 9789811316715 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.
Описание: Based on a series of lectures for students in topology, this book provides an entry point into the intersection theory of punctured holomorphic curves. Appendices featuring quick reference guides for applying the theory and self-contained proofs of key technical results also make it a valuable resource for researchers.
Автор: Beck Matthias, Et Al Название: A First Course in Complex Analysis ISBN: 1944325085 ISBN-13(EAN): 9781944325084 Издательство: Неизвестно Рейтинг: Цена: 2059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Friedrich Haslinger Название: Complex Analysis: A Functional Analytic Approach ISBN: 3110417235 ISBN-13(EAN): 9783110417234 Издательство: Walter de Gruyter Цена: 8359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Frechet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. ContentsComplex numbers and functionsCauchy’s Theorem and Cauchy’s formulaAnalytic continuationConstruction and approximation of holomorphic functionsHarmonic functionsSeveral complex variablesBergman spacesThe canonical solution operator to Nuclear Frechet spaces of holomorphic functionsThe -complexThe twisted -complex and Schrodinger operators
Автор: Teodor Bulboaca, Santosh B. Joshi, Pranay Goswami Название: Complex Analysis: Theory and Applications ISBN: 3110657821 ISBN-13(EAN): 9783110657821 Издательство: Walter de Gruyter Цена: 12822.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
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