Fundamentals of differential equations and boundary value problems sixth edition




















Convolution Method F. Asymptotic Behavior of Solutions 5. Introduction to Systems and Phase Plane Analysis 5. Things That Bob D. Hamiltonian Systems E. Cleaning Up the Great Lakes 6.

Justifying the Method of Undetermined Coefficients C. Transverse Vibrations of a Beam 7. Laplace Transforms 7. Duhamel's Formulas B. Frequency Response Modeling C. Determining System Parameters 8. Series Solutions of Differential Equations 8. Alphabetization Algorithms B. Airy's Equation D. Buckling of a Tower E.

Aging Spring and Bessel Functions 9. Matrix Methods for Linear Systems 9. Uncoupling Normal Systems B. Matrix Laplace Transform Method C. Undamped Second-Order Systems D. Undetermined Coefficients for System Forced by Homogeneous Partial Differential Equations Green's Function D.

Stability of Autonomous Systems Solutions and Korteweg-de Vries Equation B. Burger's Equation C. Computing Phase Plane Diagrams D. A Growth Model for Phytoplankton-Part 2 Existence and Uniqueness Theory Eigenvalue Problems and Sturm-Liouville Equations Hermite Polynomials and the Harmonic Oscillator B. Continuous and Mixed Spectra C. Picone Comparison Theorem D.

Shooting Method E. Show order information for All Digital Paper. Relevant courses. This title is out of print. Fundamentals of Differential Equations, 6th Edition. Kent R. Availability This title is out of print. Overview Features Contents Order Overview.

Description Fundamentals of Differential Equations , Sixth Edition is designed for a one-semester sophomore or junior-level course. Applications-driven sections are included in the chapter on linear second order equations.

The chapter regarding the introduction to systems and phase plane analysis has been modernized to better facilitate student understanding of the material. The expanded coverage of dynamical systems is consistent with the level of the text.

The phase line is covered at the beginning of the text. Group Projects relating to the material covered appear at the end of each chapter. They may involve more challenging applications, delve deeper into theory, or introduce more advanced topics. Interactive Differential Equations CD included with every book. Throughout his life, he imparted his love for mathematics to everyone, from students to colleagues. Edward B. Saff received his B. His research areas include approximation theory, numerical analysis, and potential theory.

He has published more than mathematical research articles, co-authored 9 books, and co-edited 11 volumes. Other recognitions of his research include his election as a Foreign Member of the Bulgarian Academy of Sciences ; and as a Fellow of the American Mathematical Society He is particularly active on the international scene, serving as an advisor and NATO collaborator to a French research team at INRIA Sophia-Antipolis; a co-director of an Australian Research Council Discovery Award; an annual visiting research collaborator at the University of Cyprus in Nicosia; and as an organizer of a sequence of international research conferences that helps foster the careers of mathematicians from developing countries.

He served 45 years on the faculties of mathematics, physics, and electrical engineering at the University of South Florida. He has authored nine textbooks and roughly journal articles. Hobbies include bluegrass fiddle, acting, and handball.

We're sorry! We don't recognize your username or password. Please try again. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. You have successfully signed out and will be required to sign back in should you need to download more resources. Description For one-semester sophomore- or junior-level courses in Differential Equations.

This package includes MyLab Math. An introduction to the basic theory and applications of differential equations Fundamentals of Differential Equations and Boundary Value Problems presents the basic theory of differential equations and offers a variety of modern applications in science and engineering.

This flexible text allows instructors to adapt to various course emphases theory, methodology, applications, and numerical methods and to use commercially available computer software. Note that a shorter version of this text, entitled Fundamentals of Differential Equations, 9th Edition , contains enough material for a one-semester course. This shorter text consists of chapters of the main text.

Series This product is part of the following series. New to This Edition. Table of Contents 1.



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