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Lectures on Partial Differential Equations, Arnold

јвтор: Arnold
Ќазвание:  Lectures on Partial Differential Equations
»здательство: Springer
 лассификаци€:
ƒифферунциально и интегральное исчисление и математический анализ
ѕрикладна€ математика

ISBN: 3540404481
ISBN-13(EAN): 9783540404484
ISBN: 3-540-40448-1
ISBN-13(EAN): 978-3-540-40448-4
ќбложка/‘ормат: Paperback
—траницы: 167
¬ес: 0.266 кг.
ƒата издани€: 01.02.2004
—ери€: Universitext
язык: ENG
»ллюстрации: 99 black & white line drawings
–азмер: 23.06 x 15.54 x 1.14 cm
„итательска€ аудитори€: Tertiary education (us: college)
—сылка на »здательство: Link
–ейтинг:
ѕоставл€етс€ из: √ермании
ќписание: Choice Outstanding Title! (January 2006)Like all of Vladimir Arnolds books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplaces equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!What makes the book unique is Arnolds particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
ƒополнительное описание: ‘ормат: 235x155
 руг читателей: Graduate students and lecturers in mathematics and physics 
 лючевые слова: partial differential equations
язык: eng
ќглавление: Preface to the Second Russian Edition.- 1. The General Theory to one First-Order Equation.- 2. The General Theory to one First-Order Equation (Continued).- 3. HuygensвАШ Principle in the Theory of Wave Propagation.- 4. The Vibrating String (dвАЩAlembertвАЩs Method).- 5. The Fourier Method (for the Vibrating String).- 6. The Theory of Oscillations. The Variational Principle.- 7. The Theory of Oscillations. The Variational Principle (Continued).- 8. Properties of Harmonic Functions.- 9. The Fundamental Solution for the Laplacian. Potentials.- 10. The Double Layer Potential.- 11. Spherical Functions. MaxwellвАЩs Theorem. The Removable Singularities Theorem.- 12. Boundary Value Problems for LaplaceвАЩs Equation. Theory of Linear Equations and Systems.- A. The Topological Content of MaxwellвАЩs Theorem on the Multifield Representation of Spherical Functions.- B. Problems.



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Differential forms

јвтор: Weintraub, Steven
Ќазвание: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
»здательство: Elsevier Science
–ейтинг:
÷ена: 8004 р.
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ќписание: 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.

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Differential Equations for Engineers

јвтор: Xie
Ќазвание: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
»здательство: Cambridge Academ
–ейтинг:
÷ена: 4190 р.
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ќписание: 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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Differential Equations and Linear Algebra

јвтор: Strang
Ќазвание: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
»здательство: Cambridge Academ
–ейтинг:
÷ена: 4098 р.
Ќаличие на складе: ѕоставка под заказ.

ќписание: An innovative textbook that allows differential equations to be taught alone, or in parallel with linear algebra, affording extra flexibility to instructors. It covers the fundamental undergraduate topics in differential equations and linear algebra, revealing connections between these two essential subjects, and applications to the physical sciences, engineering and economics.

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Geometric Partial Differential Equations and Image Analysis

јвтор: Guillermo Sapiro
Ќазвание: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
»здательство: Cambridge Academ
÷ена: 3352 р.
Ќаличие на складе: ≈сть у поставщика ѕоставка под заказ.

ќписание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.

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Functional analysis, Sobolev spaces and partial differential equations

јвтор: Brezis, H.
Ќазвание: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
»здательство: Springer
–ейтинг:
÷ена: 5716 р.
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ќписание: 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.

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Partial Differential Equations I

јвтор: Taylor
Ќазвание: Partial Differential Equations I
ISBN: 1441970541 ISBN-13(EAN): 9781441970541
»здательство: Springer
–ейтинг:
÷ена: 8796 р.
Ќаличие на складе: ≈сть у поставщика ѕоставка под заказ.

ќписание: 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.

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Partial Differential Equations II

јвтор: Taylor
Ќазвание: Partial Differential Equations II
ISBN: 1441970517 ISBN-13(EAN): 9781441970510
»здательство: Springer
–ейтинг:
÷ена: 13639 р.
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ќписание: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.

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An Introduction to Partial Differential Equations

јвтор: Renardy Michael, Rogers Robert C.
Ќазвание: An Introduction to Partial Differential Equations
ISBN: 0387004440 ISBN-13(EAN): 9780387004440
»здательство: Springer
–ейтинг:
÷ена: 6508 р.
Ќаличие на складе: ≈сть у поставщика ѕоставка под заказ.

ќписание: 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.

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Partial Differential Equations III

јвтор: Taylor
Ќазвание: Partial Differential Equations III
ISBN: 1441970487 ISBN-13(EAN): 9781441970480
»здательство: Springer
–ейтинг:
÷ена: 13639 р.
Ќаличие на складе: ≈сть у поставщика ѕоставка под заказ.

ќписание: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed 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

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Lectures On The Theory Of Group Properties Of Differential Equations

јвтор: Ovsyannikov L V Et Al
Ќазвание: Lectures On The Theory Of Group Properties Of Differential Equations
ISBN: 9814460818 ISBN-13(EAN): 9789814460811
»здательство: World Scientific Publishing
–ейтинг:
÷ена: 4672 р.
Ќаличие на складе: ѕоставка под заказ.

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Linear Partial Differential Equations and Fourier Theory

јвтор: Pivato
Ќазвание: Linear Partial Differential Equations and Fourier Theory
ISBN: 0521199700 ISBN-13(EAN): 9780521199704
»здательство: Cambridge Academ
–ейтинг:
÷ена: 8380 р.
Ќаличие на складе: ѕоставка под заказ.

ќписание: Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction Ц the most powerful tool for solving problems Ц rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

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Partial Differential Equations

јвтор: Gockenbach
Ќазвание: Partial Differential Equations
ISBN: 0898719356 ISBN-13(EAN): 9780898719352
»здательство: Cambridge Academ
–ейтинг:
÷ена: 6333 р.
Ќаличие на складе: ѕоставка под заказ.

ќписание: Undergraduate courses on partial differential equations (PDEs) have traditionally been based on the Fourier series method for analysing and solving PDEs. What this textbook offers is a fresh approach; the traditional method taught alongside the modern finite element method. Both powerful methods are introduced to the reader and emphasised equally. A further beneficial feature of the book is that it uses the language of linear algebra, in particular in emphasising the role of best approximation in function spaces and the idea of an eigenfunction expansion. Its inclusion of realistic physical experiments for many examples and exercises will make the book appealing to science and engineering students, as well as students of mathematics. This second edition has a broader coverage of PDE methods and applications than the first, with the inclusion of chapters on the method of characteristics, Green's functions, SturmЦLiouville problems and a section on finite difference methods.

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