Partial Differential Equations In Mechanics 2
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| Author | : A.P.S. Selvadurai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 724 |
| Release | : 2000-10-19 |
| Genre | : Mathematics |
| ISBN | : 9783540672845 |
This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.
| Author | : A.P.S. Selvadurai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 632 |
| Release | : 2000-10-19 |
| Genre | : Mathematics |
| ISBN | : 9783540672838 |
This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.
| Author | : A.P.S. Selvadurai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 713 |
| Release | : 2013-06-29 |
| Genre | : Technology & Engineering |
| ISBN | : 3662092050 |
This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.
| Author | : Michael E. Taylor |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 673 |
| Release | : 2010-10-29 |
| Genre | : Mathematics |
| ISBN | : 144197055X |
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.
| Author | : S. L. Sobolev |
| Publisher | : Courier Corporation |
| Total Pages | : 452 |
| Release | : 1964-01-01 |
| Genre | : Science |
| ISBN | : 9780486659640 |
This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
| Author | : Walter A. Strauss |
| Publisher | : John Wiley & Sons |
| Total Pages | : 467 |
| Release | : 2007-12-21 |
| Genre | : Mathematics |
| ISBN | : 0470054565 |
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
| Author | : Isaak Rubinstein |
| Publisher | : Cambridge University Press |
| Total Pages | : 704 |
| Release | : 1998-04-28 |
| Genre | : Mathematics |
| ISBN | : 9780521558464 |
The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
| Author | : A. P. S. Selvadurai |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2000 |
| Genre | : |
| ISBN | : |
| Author | : Michael Renardy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 447 |
| Release | : 2006-04-18 |
| Genre | : Mathematics |
| ISBN | : 0387216871 |
Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.
| Author | : Paul DuChateau |
| Publisher | : Courier Corporation |
| Total Pages | : 638 |
| Release | : 2012-10-30 |
| Genre | : Mathematics |
| ISBN | : 048614187X |
Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.
