Автор: Lapidus Michel L., Frankenhuijsen Machiel van Название: Fractal Geometry, Complex Dimensions and Zeta Functions / Geometry and Spectra of Fractal Strings ISBN: 0387332855 ISBN-13(EAN): 9780387332857 Издательство: Springer Рейтинг: Цена: 49330.00 T Наличие на складе: Поставка под заказ. Описание: Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features: - The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings- Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra- Explicit formulas are extended to apply to the geometric, spectral, and dynamic zeta functions associated with a fractal- Examples of such formulas include Prime Orbit Theorem with error term for self-similar flows, and a tube formula- The method of diophantine approximation is used to study self-similar strings and flows- Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functionsThroughout new results are examined. The final chapter gives a new definition of fractality as the presence of nonreal complex dimensions with positive real parts.The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level. Fractal Geometry, Complex Dimensions and Zeta Functions will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics.
Автор: Jacob Niels & Evans Kristian P Название: Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable ISBN: 9814689084 ISBN-13(EAN): 9789814689083 Издательство: World Scientific Publishing Рейтинг: Цена: 118270.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Автор: Jacob Niels & Evans Kristian P Название: Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable ISBN: 9814689092 ISBN-13(EAN): 9789814689090 Издательство: World Scientific Publishing Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Автор: Stein Elias M. Название: Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11): ISBN: 0691620113 ISBN-13(EAN): 9780691620114 Издательство: Wiley Рейтинг: Цена: 31680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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
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