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: с., Wirkus Stephen A. Название: A Course in Ordinary Differential Equations, Second Edition ISBN: 1466509082 ISBN-13(EAN): 9781466509085 Издательство: Taylor&Francis Рейтинг: Цена: 81650.00 T 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.
Автор: Swift, Randall J. Название: A Course in Ordinary Differential Equations ISBN: 1584884762 ISBN-13(EAN): 9781584884767 Издательство: Taylor&Francis Рейтинг: Цена: 42870.00 T Наличие на складе: Нет в наличии. Описание: The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB[registered], Mathematica[registered], and Maple ,
"A Course in Ordinary Differential Equations" focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering,
physics, or mathematics student's field of study.Stressing applications wherever possible, the authors have written this text with the applied math, engineer, or science major in mind. It
includes a number of modern topics that are not commonly found in a traditional sophomore-level text. For example, Chapter 2 covers direction fields, phase line techniques, and the
Runge-Kutta method; another chapter discusses linear algebraic topics, such as transformations and eigenvalues.
Chapter 6 considers linear and nonlinear systems of
equations from a dynamical systems viewpoint and uses the linear algebra insights from the previous chapter; it also includes modern applications like epidemiological models.With
sufficient problems at the end of each chapter, even the pure math major will be fully challenged. Although traditional in its coverage of basic topics of ODEs, "A Course in Ordinary
Differential Equations" is one of the first texts to provide relevant computer code and instruction in MATLAB, Mathematica, and Maple that will prepare students for further study in their
fields.
Автор: Chicone Название: Ordinary Differential Equations with Applications ISBN: 0387307699 ISBN-13(EAN): 9780387307695 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Поставка под заказ. Описание: A text for a graduate level course in the theory of ordinary differential equations. It contains theory and applications. It links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and abstract algebra.
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: Renardy Michael, Rogers Robert C. Название: An Introduction to Partial Differential Equations ISBN: 0387004440 ISBN-13(EAN): 9780387004440 Издательство: Springer Рейтинг: Цена: 68900.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Partial differential equations are fundamental to the modeling of natural phenomena. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background to initiate work on a PhD thesis in PDEs for beginning graduate students.
Автор: Van der Put Marius , Singer Michael F. Название: Galois Theory of Linear Differential Equations ISBN: 3540442286 ISBN-13(EAN): 9783540442288 Издательство: Springer Рейтинг: Цена: 93130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.
Автор: Iserles, A. Название: First course in the numerical analysis of differential equations ISBN: 0521734908 ISBN-13(EAN): 9780521734905 Издательство: Cambridge Academ Рейтинг: Цена: 54910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This extensively updated second edition includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods, finite difference and finite elements techniques for the Poisson equation, and a variety of algorithms to solve large, sparse algebraic systems.
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.
Автор: Weintraub, Steven Название: Differential forms ISBN: 0123944031 ISBN-13(EAN): 9780123944030 Издательство: Elsevier Science Рейтинг: Цена: 98800.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.
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.
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