Textbook on ordinary differential equations, Meher, Ramakanta (sardar Vallabhbhai National Institute Of Technology, India)
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 9027.00 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.
Автор: Oksendal Название: Stochastic Differential Equations ISBN: 3540047581 ISBN-13(EAN): 9783540047582 Издательство: Springer Рейтинг: Цена: 8223.00 р. Наличие на складе: Есть (1 шт.) Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.
Автор: с., Wirkus Stephen A. Название: A Course in Ordinary Differential Equations, Second Edition ISBN: 1466509082 ISBN-13(EAN): 9781466509085 Издательство: Taylor&Francis Рейтинг: Цена: 12248.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB(R), Mathematica(R), and Maple(TM). This second edition reflects the feedback of students and professors who used the first edition in the classroom.
New to the Second Edition
Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology
Covers linear systems in their entirety before addressing applications to nonlinear systems
Incorporates the latest versions of MATLAB, Maple, and Mathematica
Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization
Highlights new applications and modeling in many fields
Presents exercise sets that progress in difficulty
Contains color graphs to help students better understand crucial concepts in ODEs
Provides updated and expanded projects in each chapter
Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.
Описание: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.
Автор: Hsu Sze Bi Название: Ordinary Differential Equations with Applications ISBN: 9814452904 ISBN-13(EAN): 9789814452908 Издательство: World Scientific Publishing Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.
Описание: This book analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail.
Автор: Logemann Hartmut Название: Ordinary Differential Equations ISBN: 1447163974 ISBN-13(EAN): 9781447163978 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book comprises a rigorous, self-contained treatment of initial-value problems for ordinary differential equations. It also includes an introduction to mathematical control theory as well as an introduction to the concept of input-to-state stability.
Автор: Atkinson, Kendall E. Han, Weimin Stewart, David E. Название: Numerical solution of ordinary differential equations ISBN: 047004294X ISBN-13(EAN): 9780470042946 Издательство: Wiley Рейтинг: Цена: 16149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This precise and highly readable book provides a complete and concise introduction to classical topics in the numerical solution of ordinary differential equations (ODEs). It contains many up-to-date references to both analytical and numerical ODE literature while offering new unifying views on different problem classes.
Описание: This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.
Описание: This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.
Автор: R. M. M. Mattheij Название: Partial Differential Equations ISBN: 0898715946 ISBN-13(EAN): 9780898715941 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 21318.00 р. Наличие на складе: Нет в наличии.
Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.
Автор: li zhilin Название: Numerical solution of differential equations ISBN: 1107163226 ISBN-13(EAN): 9781107163225 Издательство: Cambridge Academ Рейтинг: Цена: 13464.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This practical and concise guide to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. With few prerequisites, the book is accessible to readers from a range of disciplines across science and engineering. Well-tested MATLAB (R) codes are available online.
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