Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linear wave equations and a brief introduction to Laplace transform solution of partial differential equations. For scientists and engineers.

Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems, 4th Edition

Science & Math

Haberman, Richard

Mathematics

PRENTICE/HALL

A textbook suitable for courses covering such subjects as Fourier series, orthogonal functions, boundary value problems, Green's functions, transform methods, or advanced engineering mathematics and mathematical models in the physical sciences. Assumes a working knowledge of calculus and elementary differential equations. Emphasizes simple models such as heat flow, vibrating strings, and membranes; and formulates equations from physical principles; and offers physical interpretations of mathematical results. First published in 1983 and here revised only slightly from the 1987 edition. Annotation c. by Book News, Inc., Portland, Or.

Elementary Applied Partial Differential Equations With Fourier Series and Boundary Value Problems (3rd Edition)

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green’s functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) (Pearson Modern Classics for Advanced Mathematics Series)

Pearson

Mathematics is a grand subject in the way it can be applied to various problems in science and engineering. To use mathematics, one needs to understand the physical context. The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models.

Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : An Introduction to Applied Mathematics

Politics & Social Sciences

Social Sciences

This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green’s functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (5th Edition)

This edition features the exact same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value—this format costs significantly less than a new textbook. This text emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green’s functions, and transform methods. This text is ideal for students in science, engineering, and applied mathematics.

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, Books a la Carte

Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.

Introduction to Differential Equations with Dynamical Systems

Campbell, Stephen L.

Princeton University Press

Mathematics is a grand subject in the way it can be applied to various problems in science and engineering. To use mathematics, one needs to understand the physical context. The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models.

Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow (Classics in Applied Mathematics, Series Number 21)

Research

Society for Industrial and Applied Mathematics

1. La ecuación del calor.2. Método de separación de variables.3. Series de fourier.4. Membranas y cuerdas vibrantes.5. Problemas de autovalores de Sturm-Liouville.6. Discusión elemental de los métodos numérico de diferencias finitas.7. Ecuaciones en derivadas parciales con tres o más variables independientes.8. Problemas no homogéneos.9. Funciones de Green para problemas independientes del tiempo.10. Problemas en dominios no acotados: soluciones de ecuaciones en derivadas parciales mediante la transformada de Fourier. 11. Función de Green para problemas dependientes del tiempo.12. Método de las características para ecuaciones de ondas lineales y cuasilineales.13. Breve introducción a la resolución de ecuaciones en derivadas parciales mediante la transformada de laplace.14. Temas de extensión: ondas dispersivas, estabilidad, no linealidad y métodos perturbativos. Bibliografía. Soluciones a los ejercicios seleccionados. Índice alfabético.

Ecuaciones en derivadas parciales 3e (Fuera de colección Out of series) (Spanish Edition)

Jujitsu journal

Independently published

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