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: Henri Cohen Название: Advanced Topics in Computational Number Theory ISBN: 0387987274 ISBN-13(EAN): 9780387987279 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory.
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: David H. Bailey; Heinz H. Bauschke; Peter Borwein; Название: Computational and Analytical Mathematics ISBN: 1493942344 ISBN-13(EAN): 9781493942343 Издательство: Springer Рейтинг: Цена: 23058.00 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: Manuel D. Salas; W. Kyle Anderson Название: Computational Aerosciences in the 21st Century ISBN: 9401038074 ISBN-13(EAN): 9789401038072 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the ICASE/LaRC/NSF/ARO Workshop, conducted by the Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, The National Science Foundation and the Army Research Office, April 22-24, 1998
Автор: Anthony Teolis Название: Computational Signal Processing with Wavelets ISBN: 1461286727 ISBN-13(EAN): 9781461286721 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Overview For over a decade now, wavelets have been and continue to be an evolving subject of intense interest. A great deal of exposition is given in the beginning chapters and is meant to give the reader a firm understanding of the basics of the discrete and continuous wavelet transforms and their relationship.
Автор: Henri Cohen Название: A Course in Computational Algebraic Number Theory ISBN: 3642081428 ISBN-13(EAN): 9783642081422 Издательство: Springer Рейтинг: Цена: 9077.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al- gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli- cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.
Автор: Peter Borwein Название: Computational Excursions in Analysis and Number Theory ISBN: 1441930000 ISBN-13(EAN): 9781441930002 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: Manuel D. Salas; W. Kyle Anderson Название: Computational Aerosciences in the 21st Century ISBN: 0792367286 ISBN-13(EAN): 9780792367284 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The role of computational simulations in various aspects of aerospace design has increased. This book examines ideas and methodologies that may revolutionize scientific computing. It looks at trends in algorithm research, human computer interface, network-based computing, surface modeling and grid generation and computer hardware and architecture.
Автор: K. Wagner; G. Wechsung Название: Computational Complexity ISBN: 9027721467 ISBN-13(EAN): 9789027721464 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: M.E. Pohst Название: Computational Algebraic Number Theory ISBN: 3764329130 ISBN-13(EAN): 9783764329136 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. This book emphasizes practical algorithms for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields.
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