Symmetry and integration methods for differential equations, Bluman, George W. Anco, Stephen C.
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 60180.00 T Наличие на складе: Невозможна поставка. Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
Автор: Marcelo R. Ebert; Michael Reissig Название: Methods for Partial Differential Equations ISBN: 3319664557 ISBN-13(EAN): 9783319664552 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area.The book is organized in five parts:In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation.Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models.Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results.Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.
Автор: Protter, Philip Название: Stochastic integration and differential equations ISBN: 3642055605 ISBN-13(EAN): 9783642055607 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process).
Автор: Sigrun Bodine; Donald A. Lutz Название: Asymptotic Integration of Differential and Difference Equations ISBN: 3319182471 ISBN-13(EAN): 9783319182476 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents the theory of asymptotic integration for both linear differential and difference equations.
The book assists Calculus students to gain a better understanding and command of integration and its applications. It reaches to students in more advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential for their success.
Keeping the reader constantly focused on the three principal epistemological questions: "What for?," "Why?," and "How?," the book is designated as a supplementary instructional tool and consists of
9 Chapters treating the three kinds of integral: indefinite, definite, and improper. Also covering various aspects of integral calculus from abstract definitions and theorems (with complete proof whenever appropriate) through various integration techniques to applications,
3 Appendices containing a table of basic integrals, reduction formulas, and basic identities of algebra and trigonometry.
It also contains
143 Examples, including 112 thoughtfully selected Problems with complete step-by-step solutions, the same problem occasionally solved in more than one way while encouraging the reader to find the most efficient integration path, and
6 Exercises, 162 Practice Problems offered at the end of each chapter starting with Chapter 2 as well as 30 Mixed Integration Problems "for dessert," where the reader is expected to independently choose and implement the best possible integration approach.
The Answers to all the 192 Problems are provided in the Answer Key. The book will benefit undergraduates, advanced undergraduates, and members of the public with an interest in science and technology, helping them to master techniques of integration at the level expected in a calculus course.
Автор: Hairer, E. Название: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations ISBN: 3540306633 ISBN-13(EAN): 9783540306634 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
Автор: Protter Philip E. Название: Stochastic Integration and Differential Equations / Second Edition, Version 2.1 ISBN: 3540003134 ISBN-13(EAN): 9783540003137 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Includes the proof of the fundamental Doob-Meyer decomposition theorem. This book contains the more general version of the Girsanov theorem due to Lenglart and martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation.
Автор: Guillermo Sapiro Название: Geometric Partial Differential Equations and Image Analysis ISBN: 0521685079 ISBN-13(EAN): 9780521685078 Издательство: Cambridge Academ Цена: 53850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.
Название: Symmetry Analysis of Differential Equations with Mathematica ISBN: 0387985522 ISBN-13(EAN): 9780387985527 Издательство: Springer Цена: 93130.00 T Наличие на складе: Поставка под заказ. Описание: This is the first book which explicitly uses Mathematica (computer algebra system) to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Heretofore time-consuming and cumbersome calculations if done by hand, are much more easily and quickly performed via the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, should be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. This book contains a large number of working examples relating to these applications of Lie's theory. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which provide users with the capability of directly interacting with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool to perform algebraic computations.
Автор: Ahmad Shair Название: Textbook on Ordinary Differential Equations ISBN: 3319164074 ISBN-13(EAN): 9783319164076 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.
Автор: Xie Название: Differential Equations for Engineers ISBN: 1107632951 ISBN-13(EAN): 9781107632950 Издательство: Cambridge Academ Рейтинг: Цена: 63360.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz
