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Excerpt from On the Partial Difference Equations, of Mathematical Physics
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About the Author
The late Richard Courant, headed the Department of Mathematicas at New York University and was Director of the Institute of Mathematical Sciences--which has subsequently renamed the Courant Institute of Mathematical Sciences. His book Mathematical Physics is familiar to every physicist, and his book
Differential and Integral Calculus is acknowledged to be one of the best presentations of the subject written in modern times. Herbert Robbins is New Jersey Professor of Mathematical Statistics at Rutgers University. Ian Stewart is Professor of Mathematics at the University of Warwick, and author of
Nature's Numbers and Does God Play Dice?. He also writes the "Mathematical Recreations" column in Scientific American.
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On the Partial Difference Equations, of Mathematical Physics (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of partial difference equations, a powerful mathematical tool used to solve complex problems in physics and other scientific fields. The author explores how these equations can be used to approximate solutions to classic linear partial differential equations, which are notoriously difficult to solve directly. The book focuses on three key areas: elliptic, hyperbolic, and parabolic cases of partial difference equations. It investigates how solutions to these equations behave when the mesh width, a crucial element in the discretization of continuous variables, approaches zero. This process, known as "convergence," is crucial for ensuring that the solutions of the difference equations accurately reflect the behavior of the corresponding differential equations. The author's analysis reveals that the convergence of solutions depends critically on the relationship between the mesh width and the characteristics of the differential equations. This book offers a groundbreaking approach to the study of partial difference equations, paving the way for a deeper understanding of their applications in a wide range of scientific disciplines. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330102756_0
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