A First Course in Partial Differential Equations, Buchanan J. Robert, Shao Zhoude

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
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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
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Цена: 54820.00 T
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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: Oleg Imanuvilov, Guenter Leugering, Roberto Triggi
Название: Control Theory of Partial Differential Equations
ISBN: 0824725468 ISBN-13(EAN): 9780824725464
Издательство: Taylor&Francis
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Цена: 185790.00 T
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Описание: The field of control theory in PDEs has broadened as more realistic models have been introduced and investigated. This book presents a range of developments, discoveries, and mathematical tools in the field. It discusses topics such as elasticity, thermo-elasticity, aero-elasticity and interactions between fluids and elastic structures.

Автор: Lopez Velazquez Gustavo
Название: Partial Differential Equations Of First Order And Their Applications To Physics (2Nd Edition)
ISBN: 9814390372 ISBN-13(EAN): 9789814390378
Издательство: World Scientific Publishing
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Цена: 60190.00 T
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Описание: Intends to point out the mathematical importance of the Partial Differential Equations of First Order (PDEFO) in Physics and Applied Sciences. This edition covers the applications of PDEFO in several branches of applied mathematics. It also includes corrected typographical errors, new applications in Chapters 1, 2, and 5, and expanded examples.

Автор: William P. Fox, William Bauldry
Название: Advanced Problem Solving with Maple: A First Course
ISBN: 1138601853 ISBN-13(EAN): 9781138601857
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: The text presents modeling topics using Maple as the computer algebra system for solving mathematical equations as well as obtaining plots that help us perform our analyses. It presents cogent applications of applied mathematics, provides discussions of the results obtained, and stimulate thought and analysis of additional applications.

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 46570.00 T
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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: Dret, Herve Le
Название: Nonlinear elliptic partial differential equations
ISBN: 3319783890 ISBN-13(EAN): 9783319783895
Издательство: Springer
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Цена: 60550.00 T
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Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.

Автор: Logan J. David
Название: First Course in Differential Equations
ISBN: 3319330756 ISBN-13(EAN): 9783319330754
Издательство: Springer
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Цена: 41920.00 T
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Описание: The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market.

Автор: Kythe, Prem K.
Название: Partial differential equations and boundary value problems with Mathematica /
ISBN: 1584883146 ISBN-13(EAN): 9781584883142
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

Автор: Buchanan J Robert, Shao Zhoude
Название: First Course In Partial Differential Equations, A
ISBN: 9813226439 ISBN-13(EAN): 9789813226432
Издательство: World Scientific Publishing
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Цена: 127770.00 T
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Описание:

This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered.

This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.

The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.

Автор: Iserles, A.
Название: First course in the numerical analysis of differential equations
ISBN: 0521734908 ISBN-13(EAN): 9780521734905
Издательство: Cambridge Academ
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Цена: 54910.00 T
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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: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.