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
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Цена: 51750.00 T
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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: Michael A. Brilleslyper, Michael J. Dorff, Jane M. McDougall, James S. Rolf, Lisbeth E. Schaubroeck
Название: Explorations in Complex Analysis
ISBN: 0883857782 ISBN-13(EAN): 9780883857786
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: Research topics in this book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects.

Автор: Franco Orsucci
Название: From Chaos to Complexity Science. 20 Years of Multidisciplinary Explorations
ISBN: 1536188255 ISBN-13(EAN): 9781536188257
Издательство: Nova Science
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Цена: 215410.00 T
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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: Conway
Название: Functions of One Complex Variable I
ISBN: 0387903283 ISBN-13(EAN): 9780387903286
Издательство: Springer
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Цена: 46540.00 T
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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
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Цена: 158400.00 T
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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.

Автор: Goldfeld
Название: Automorphic Forms and L-Functions for the Group GL(n,R)
ISBN: 1107565022 ISBN-13(EAN): 9781107565029
Издательство: Cambridge Academ
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Цена: 60190.00 T
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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
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Цена: 79200.00 T
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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.

Автор: Kanemitsu Shigeru & Tsukada Haruo
Название: Contributions To The Theory Of Zeta-Functions: The Modular Relation Supremacy
ISBN: 981444961X ISBN-13(EAN): 9789814449618
Издательство: World Scientific Publishing
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Цена: 100320.00 T
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Описание:

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.

Автор: Stein Elias M.
Название: Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11):
ISBN: 0691620113 ISBN-13(EAN): 9780691620114
Издательство: Wiley
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Цена: 31680.00 T
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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: HENKIN; LEITERER
Название: Theory of Functions on Complex Manifolds
ISBN: 3034865392 ISBN-13(EAN): 9783034865395
Издательство: Springer
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Цена: 74530.00 T
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Автор: R.B. Burckel; Reinhold Remmert
Название: Theory of Complex Functions
ISBN: 0387971955 ISBN-13(EAN): 9780387971957
Издательство: Springer
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Цена: 74530.00 T
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Автор: John B. Conway
Название: Functions of One Complex Variable II
ISBN: 0387944605 ISBN-13(EAN): 9780387944609
Издательство: Springer
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Цена: 45610.00 T
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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.