Partial Differential And Integral Equations
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Author | : Peter J. Collins |
Publisher | : Oxford University Press, USA |
Total Pages | : 387 |
Release | : 2006-08-03 |
Genre | : Mathematics |
ISBN | : 0198533829 |
Download Differential and Integral Equations Book in PDF, Epub and Kindle
Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.
Author | : Ronald B. Guenther |
Publisher | : Courier Corporation |
Total Pages | : 580 |
Release | : 2012-09-19 |
Genre | : Mathematics |
ISBN | : 0486137627 |
Download Partial Differential Equations of Mathematical Physics and Integral Equations Book in PDF, Epub and Kindle
Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.
Author | : K?saku Yoshida |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 1991-01-01 |
Genre | : Mathematics |
ISBN | : 9780486666792 |
Download Lectures on Differential and Integral Equations Book in PDF, Epub and Kindle
Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.
Author | : S. L. Sobolev |
Publisher | : Courier Corporation |
Total Pages | : 452 |
Release | : 1964-01-01 |
Genre | : Science |
ISBN | : 9780486659640 |
Download Partial Differential Equations of Mathematical Physics Book in PDF, Epub and Kindle
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 | : Peter J. Collins |
Publisher | : OUP Oxford |
Total Pages | : 392 |
Release | : 2006-08-03 |
Genre | : Mathematics |
ISBN | : 019152400X |
Download Differential and Integral Equations Book in PDF, Epub and Kindle
Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis. Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.
Author | : Heinrich Begehr |
Publisher | : Springer Science & Business Media |
Total Pages | : 367 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461332761 |
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This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.
Author | : Harold Thayer Davis |
Publisher | : |
Total Pages | : 590 |
Release | : 1960 |
Genre | : Calculus |
ISBN | : |
Download Introduction to Nonlinear Differential and Integral Equations Book in PDF, Epub and Kindle
Author | : William Vernon Lovitt |
Publisher | : |
Total Pages | : 280 |
Release | : 1924 |
Genre | : Integral equations |
ISBN | : |
Download Linear Integral Equations Book in PDF, Epub and Kindle
Author | : Paul Sacks |
Publisher | : Academic Press |
Total Pages | : 322 |
Release | : 2017-05-16 |
Genre | : Mathematics |
ISBN | : 0128114576 |
Download Techniques of Functional Analysis for Differential and Integral Equations Book in PDF, Epub and Kindle
Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics
Author | : G. Micula |
Publisher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401580243 |
Download Differential and Integral Equations through Practical Problems and Exercises Book in PDF, Epub and Kindle
Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them. Such equations, and the development of techniques for solving them, have always held a privileged place in the mathematical sciences. Today, theoretical advances have led to more abstract and comprehensive theories which are increasingly more complex in their mathematical concepts. Theoretical investigations along these lines have led to even more abstract and comprehensive theories, and to increasingly complex mathematical concepts. Long-standing teaching practice has, however, shown that the theory of differential and integral equations cannot be studied thoroughly and understood by mere contemplation. This can only be achieved by acquiring the necessary techniques; and the best way to achieve this is by working through as many different exercises as possible. The eight chapters of this book contain a large number of problems and exercises, selected on the basis of long experience in teaching students, which together with the author's original problems cover the whole range of current methods employed in solving the integral, differential equations, and the partial differential equations of order one, without, however, renouncing the classical problems. Every chapter of this book begins with the succinct theoretical exposition of the minimum of knowledge required to solve the problems and exercises therein.