Differential equations: a modeling approach, Ledder
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 5203 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles, and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite difference approximations is developed. Numerical methods are included in the book to show the significance of computations in partial differential equations and to illustrate the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between the analytical and numerical techniques. The authors present the material at an easy pace with well-organized exercises ranging from the straightforward to the challenging. In addition, special projects are included, containing step by step hints and instructions, to help guide students in the correct way of approaching partial differential equations. The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable.
Описание: Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained. Modeling with ItГґ Stochastic Differential Equations is useful for researchers and graduate students. As a textbook for a graduate course, prerequisites include probability theory, differential equations, intermediate analysis, and some knowledge of scientific programming.
Описание: This book provides a unified view of numerical analysis, mathematical modeling in applications, and programming, which is known as scientific computing or computational science. The integrated science of solving a problem with mathematical, numerical, and programming tools makes this book quite unique among related books since it covers a wide array of topics from mathematical modeling to implementing a working computer program. The book describes: how models are set up; how they are preprocessed mathematically with scaling, classification, and approximation; and how a problem is solved numerically with suitable numerical methods. All results are shown appropriately with visualization. The examples in the book are taken from scientific and engineering applications, such as mechanics, fluid dynamics, solid mechanics, chemical engineering, electromagnetic filed theory, control theory, etc. The numerical methods are demonstrated on simple model problems and programmed in MATLAB. The author also highlights the ideas behind some well-known methods, such as finite differences and finite elements. Both MATLAB and the interactive scientific computing program Comsol Multiphysics are used to solve real-world problems found throughout the book.
Описание: Helps you work more effectively and gauge your progress along the way. This student resource manual contains worked-out solutions to approximately half of the problems in "Differential Equations, 2nd Edition". Including problem solutions, it offers graphs, suggestions for students, and additional resource material.
Описание: This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
Описание: This monograph presents the latest advances of fuzzy logic and soft computing in reservoir characterization and modeling. It proposes for the first time that future develoments require perception-based information processing. The book presents important steps in this direction by introducing fuzzy partial differential equations and relational equations. It provides a unique opportunity for soft computing researchers and oil industry practitioners to understand the significance of the changes in the fields by presenting recent accomplishments and new directions.
Описание: Presents an introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, this book develops the underlying theory, with many of the topics presented in a novel way, emphasizing explicit examples and computations.
Автор: Collins, Peter J. Название: Differential and Integral Equations ISBN: 0199297894 ISBN-13(EAN): 9780199297894 Издательство: Oxford Academ Рейтинг: Цена: 4943 р. Наличие на складе: Невозможна поставка.
Описание: Provides an introduction to differential and integral equations. With worked examples and exercises, this text is meant for undergraduates with basic calculus to gain a grounding in `analysis for applications`. It includes discussion of the wave, heat and Laplace equations, Green`s functions, and their application to the Sturm-Liouville equation.
Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
Автор: Taylor Название: Partial Differential Equations I ISBN: 1441970541 ISBN-13(EAN): 9781441970541 Издательство: Springer Рейтинг: Цена: 9345 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru