Mathematical Physics with Partial Differential Equations


Book Description

Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.




Partial Differential Equations of Mathematical Physics


Book Description

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.




Partial Differential Equations in Classical Mathematical Physics


Book Description

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.




Mathematical Methods


Book Description

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.




Mathematical Physics


Book Description

For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.




Partial Differential Equations arising from Physics and Geometry


Book Description

Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.




Partial Differential Equations in Physics


Book Description

Partial Differential Equations in Physics ...




Mathematical Methods in Physics


Book Description

This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that







Solution Manual for Partial Differential Equations for Scientists and Engineers


Book Description

Originally published by John Wiley and Sons in 1983, Partial Differential Equations for Scientists and Engineers was reprinted by Dover in 1993. Written for advanced undergraduates in mathematics, the widely used and extremely successful text covers diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Dover's 1993 edition, which contains answers to selected problems, is now supplemented by this complete solutions manual.