First Course in Differential Equations, Logan J. David
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: 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.
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: Wirkus Название: A Course In Differential Equations ISBN: 149873605X ISBN-13(EAN): 9781498736053 Издательство: Taylor&Francis Рейтинг: Цена: 112290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author's successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded.
The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student's field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged.
The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra.
Most significantly, computer labs are given in MATLAB(R), Mathematica(R), and Maple(TM). The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included.
Features
MATLAB(R), Mathematica(R), and Maple(TM) are incorporated at the end of each chapter. All three software packages have parallel code and exercises;
There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students.
An appendix that gives the reader a "crash course" in the three software packages.
Chapter reviews at the end of each chapter to help the students review
Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see
Answers to most of the odd problems in the back of the book
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