Explorations in complex functions, Beals, Richard Wong, Roderick S. C.
Автор: Burn Название: Numbers and Functions ISBN: 1107444535 ISBN-13(EAN): 9781107444539 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of over 800 problems to concepts, definitions and proofs of classical real analysis.
Автор: Conway Название: Functions of One Complex Variable I ISBN: 0387903283 ISBN-13(EAN): 9780387903286 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year`s course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.
Автор: Gelca Razvan Название: Theta Functions and Knots ISBN: 9814520578 ISBN-13(EAN): 9789814520577 Издательство: World Scientific Publishing Рейтинг: Цена: 23760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.
Theta Functions and Knots can be read in two perspectives. Readers with an interest in theta functions or knot theory can learn how the two are related. Those interested in Chern-Simons theory will find here an introduction using the simplest case, that of abelian Chern-Simons theory. Moreover, the construction of abelian Chern-Simons theory is based entirely on quantum mechanics and not on quantum field theory as it is usually done.
Both the theory of theta functions and low dimensional topology are presented in detail, in order to underline how deep the connection between these two fundamental mathematical subjects is. Hence the book is self-contained with a unified presentation. It is suitable for an advanced graduate course, as well as for self-study.
Описание: The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu- lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ- ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com- plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.
Описание: This book is dedicated to the first ten years of Chaos and Complexity Letters - International Journal of Dynamical Systems Research. This journal was born to collect and disseminate complexity science related information to anybody interested in the topic; to speed up the evolutionary development of complexity science; to extend its interactions crossing over disciplines, levels of knowledge and geography; and to foster finding new pathways in research and new applications. The structure of CCL was specifically designed to add value to the trans-disciplinary approach while, at the same time, differentiating the epistemology of different contributions. In this enterprise we were sustained and inspired by two great companions that in different ways shared our project during its prehistory: Ilya Prigogine and Francisco Varela. This book collects 16 papers appeared on the first ten volumes of Chaos and Complexity Letters. They range from the life sciences, to STEM and economy, in accordance with the interdisciplinary mission of the journal. A special highlight starts with Acceleration and entropy: a macroscopic analogue of the twin paradox, possibly the last paper written by the Nobel Prize Ilya Prigogine with Gonzalo Ordonez. Important academic specialists who wrote in our scientific journal passed away. For example, Walter Freeman, Tullio Minelli, Ilya Prigogine, and Joseph P. Zbilut. This special issue is also dedicated to them. We are in opinion that their trajectories in life and research designed some contours of the shape of a new science to come.
Автор: Goldfeld Название: Automorphic Forms and L-Functions for the Group GL(n,R) ISBN: 1107565022 ISBN-13(EAN): 9781107565029 Издательство: Cambridge Academ Рейтинг: Цена: 9029.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra.
Автор: Beals Название: Special Functions and Orthogonal Polynomials ISBN: 1107106982 ISBN-13(EAN): 9781107106987 Издательство: Cambridge Academ Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a graduate-level introduction to special functions - a very active area of research and application. Emphasis is given to unifying aspects and to motivation, making it ideal for self-study, while its comprehensive coverage of standard and newer topics and its extensive bibliography also make it a valuable reference.
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations -- zeta symmetry -- which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.
This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.
Описание: This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial different
Автор: R.B. Burckel; Reinhold Remmert Название: Theory of Complex Functions ISBN: 0387971955 ISBN-13(EAN): 9780387971957 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: HENKIN; LEITERER Название: Theory of Functions on Complex Manifolds ISBN: 3034865392 ISBN-13(EAN): 9783034865395 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: John B. Conway Название: Functions of One Complex Variable II ISBN: 0387944605 ISBN-13(EAN): 9780387944609 Издательство: Springer Рейтинг: Цена: 6841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addresses many problems on the theory of functions of one complex variable. This book treats several topics in geometric function theory and potential theory in the plane, such as conformal equivalence for simply connected regions, de Branges` proof of the Bieberbach conjecture, Hardy spaces on the disk, and potential theory in the plane.
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