Описание: Presents the basics of functional analysis, as well as elements of variational equations (on the basis of bi-linear forms), including the Vishik-Lax-Milgram theorem and of generalized solutions of eliptic problems. Sobolev spaces and embedding theorems are introduced.
Автор: Bobenko Название: Computational Approach to Riemann Surfaces ISBN: 3642174124 ISBN-13(EAN): 9783642174124 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.
Автор: Borwein Peter Название: Computational Excursions in Analysis and Number Theory ISBN: 0387954449 ISBN-13(EAN): 9780387954448 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.
Автор: Yan Song Y Название: Computational Number Theory and Modern Cryptography ISBN: 1118188586 ISBN-13(EAN): 9781118188583 Издательство: Wiley Рейтинг: Цена: 13139.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .
Автор: David H. Bailey; Heinz H. Bauschke; Peter Borwein; Название: Computational and Analytical Mathematics ISBN: 1461476208 ISBN-13(EAN): 9781461476207 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1. Normal Numbers and Pseudorandom Generators (D.H. Bailey and J.M. Borwein).- 2. New Demiclosedness Principles for (Firmly) Nonexpansive Operators (H.H. Bauschke).- 3. Champernowne's Number, Strong Normality, and the X Chromosome (A. Belshaw and P. Borwein).- 4. Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems (H. Bonnel and J. Morgan).- 5. Monotone Operators Without Enlargements (J.M. Borwein, R.S. Burachik, and L. Yao).- 6. A Br ndsted-Rockafellar Theorem for Diagonal Subdifferential Operators (R.I. Boţ and E.R. Csetnek).- 7. A q-Analog of Euler's Reduction Formula for the Double Zeta Function (D.M. Bradley and X. Zhou).- 8. Fast Computation of Bernoulli, Tangent, and Secant Numbers (R.P. Brent and D. Harvey).- 9. Monotone Operator Methods for Nash Equilibria in Non-Potential Games (L.M. Briceсo-Arias and P.L. Combettes).- 10. Compactness, Optimality, and Risk (B. Cascales, J. Orihuela, M. Ruiz Galбn).- 11. Logarithmic and Complex Constant Term Identities (T. Chappell, A. Lascoux, S.O. Warnaar, and W. Zudilin).- 12. Preprocessing and Regularization for Degenerate Semidefinite Programs (Y.-L. Cheung, S. Schurr, and H. Wolkowicz).- 13. The Largest Roots of the Mandelbrot Polynomials (R.M. Corless and P.W. Lawrence).- 14. On the Fractal Distribution of Brain Synapses (R. Crandall).- 15. Visible Points in Convex Sets and Best Approximation (F. Deutsch, H. Hundal, and L. Zikatanov).- 16. On Derivative Criteria for Metric Regularity (A. Dontchev and H. Frankowska).- 17. Five Classes of Monotone Linear Relations and Operators (M.R. Edwards).- 18. Upper Semicontinuity of Duality and Preduality Mappings (J.R. Giles).- 19. Convexity and Variational Analysis (A.D. Ioffe).- 20. Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems (P.S. Kenderov and J.P. Revalski).- 21. Legendre Functions Whose Gradients Map Convex Sets to Convex Sets (A. Knecht and J. Vanderwerff).- 22. On the Convergence of Iteration Proceses for Semigroups of Nonlinear Mappings in Banach Spaces (W.M. Kozlowski and B. Sims).- 23. Techniques and Open Questions in Computational Convex Analysis (Y. Lucet).- 24. Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators (V.
Martнn-Mбrquez, S. Reich, and S. Sabach).- 25. Primal Lower Nice Functions and Their Moreau Envelopes (M. Mazade and L. Thibault).- 26. Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values (D. Noll).- 27. Convergence of Linesearch and Trust-Region Methods Using the Kurdyka-Lojasiewicz Inequality (D. Noll and A. Rondepierre).- 28. Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals (G. Pataki).- 29. Towards a New Era in Subdifferential Analysis? (J.-P. Penot).- 30. Modular Equations and Lattice Sums (M. Rogers and B. Yuttanan).- 31. An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization (D.E. Ward and S.E. Wright).
Автор: Chen Shu Heng Название: Genetic Algorithms and Genetic Programming in Computational ISBN: 1461352622 ISBN-13(EAN): 9781461352624 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: After a decade of development, genetic algorithms and genetic programming have become a widely accepted toolkit for computational finance.
Автор: Felipe Cucker; Michael Shub Название: Foundations of Computational Mathematics ISBN: 3540616470 ISBN-13(EAN): 9783540616474 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These articles, corresponding to talks given at the Foundations of Computational Mathematics conference, bring together a variety of subjects in which the computational process itself and the foundational mathematical underpinnings of algorithms are the objects of study.
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