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: Walter Lacarbonara Название: Nonlinear Structural Mechanics ISBN: 1489977791 ISBN-13(EAN): 9781489977793 Издательство: Springer Рейтинг: Цена: 32651.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a concise, integrated and coherent presentation of the theoretical framework of nonlinear mechanics, computational methods, applications, parametric investigations of nonlinear phenomena and their mechanical interpretation towards design.
Описание: This book addresses several aspects of the integrable structure of the AdS/CFT correspondence.
Автор: M.B. Rubin Название: Cosserat Theories: Shells, Rods and Points ISBN: 9048155312 ISBN-13(EAN): 9789048155316 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. It allows readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories.
Автор: David Yang Gao Название: Complementarity, Duality and Symmetry in Nonlinear Mechanics ISBN: 9401571198 ISBN-13(EAN): 9789401571197 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior. It will also appeal to those in industry wishing to appreciate the way their computer simulations work.
Автор: Kuppalapalle Vajravelu Название: Differential Equations and Nonlinear Mechanics ISBN: 0792368673 ISBN-13(EAN): 9780792368670 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Covers such topics as - nonlinear differential equations, nonlinear dynamics, neural networks, modeling and dissipative processes, nonlinear ODE, nonlinear PDE, nonlinear mechanics, and fuzzy differential equations. This book is suitable for those who are interested in pursuing research in the fields mentioned above.
Автор: W. Wunderlich; E. Stein; K.J. Bathe Название: Nonlinear Finite Element Analysis in Structural Mechanics ISBN: 364281591X ISBN-13(EAN): 9783642815911 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to- P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele- ment Analysis" 1t prov1ded an opportun1ty for about 20 re- searchers from each country to present lectures, hold discus- sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well.
Автор: Yuri A. Mitropolsky; A.K. Lopatin Название: Nonlinear Mechanics, Groups and Symmetry ISBN: 079233339X ISBN-13(EAN): 9780792333395 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Deals with the development of asymptotic methods of perturbation theory, making use of group-theoretical techniques. This book investigates several assumptions about specific group properties that lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincare - Birkhoff normal form.
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