Edwards, C. Henry; Penney, David E.
Differential Equations and Boundary Value Problems: Computing and Modeling (4th Edition)
# ISBN 13: 9780131561076

** ** This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like *Maple, Mathematica,* and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. ** ** The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. ** ** For mathematicians and those in the field of computer science and engineering.

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**C. Henry Edwards** is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and recently retired after 40 years of classroom teaching (including calculus or differential equations almost every term) at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards, including the University of Georgia's *honoratus* medal in 1983 (for sustained excellence in honors teaching), its Josiah Meigs award in 1991 (the institution's highest award for teaching), and the 1997 statewide Georgia Regents award for research university faculty teaching excellence. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in the teaching and applications of mathematics. In addition to being author or co-author of calculus, advanced calculus, linear algebra, and differential equations textbooks, he is well-known to calculus instructors as author of *The Historical Development of the Calculus* (Springer-Verlag, 1979). During the 1990s he served as a principal investigator on three NSF-supported projects: (1) A school mathematics project including Maple for beginning algebra students, (2) A Calculus-with- *Mathematica* program, and (3) A MATLAB-based computer lab project for numerical analysis and differential equations students.

** **

**David E. Penney , ** University of Georgia, completed his Ph.D. at Tulane University in 1965 (under the direction of Prof. L. Bruce Treybig) while teaching at the University of New Orleans. Earlier he had worked in experimental biophysics at Tulane University and the Veteran's Administration Hospital in New Orleans under the direction of Robert Dixon McAfee, where Dr. McAfee's research team's primary focus was on the active transport of sodium ions by biological membranes. Penney's primary contribution here was the development of a mathematical model (using simultaneous ordinary differential equations) for the metabolic phenomena regulating such transport, with potential future applications in kidney physiology, management of hypertension, and treatment of congestive heart failure. He also designed and constructed servomechanisms for the accurate monitoring of ion transport, a phenomenon involving the measurement of potentials in microvolts at impedances of millions of megohms. Penney began teaching calculus at Tulane in 1957 and taught that course almost every term with enthusiasm and distinction until his retirement at the end of the last millennium. During his tenure at the University of Georgia he received numerous University-wide teaching awards as well as directing several doctoral dissertations and seven undergraduate research projects. He is the author of research papers in number theory and topology and is the author or co-author of textbooks on calculus, computer programming, differential equations, linear algebra, and liberal arts mathematics.

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**Book Description **Soft cover. Book Condition: New. International Edition. Absolutely Brand New Textbook. This is an International Edition Textbook. Fast shipping , 3-5 business days Delivery to US and Canada, 4-6 days delivery to EU and Asia countries via express service. Ship from Multiple Locations, including US, EU, ASIA for inventory purpose. We do not ship to PO/FPO/APO address. Printed in USA with High Quality Paper (not Indian edition due to B/W printing and poor quality paper). Book is printed in English, as the US edition. If US edition printed in color, our book printed in color too! Most international edition has different ISBN and Cover design. Occasionally. international textbooks may come with different exercises at the end of chapters. Some book may show some sales disclaimer word such as "Not for Sale or Restricted in US" on the cover page but it is absolutely legal to use in USA. Bookseller Inventory # 14f010132061155

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**Book Description **Prentice Hall, Lebanon, Indiana, U.S.A., 2007. Soft cover. Book Condition: New. This is an Brand new International Soft Cover Edition.Different ISBN number and Cover Page with US Edition but content same with US.Book was High Quality Glossy Paper & Color Printed.This International Edition might have minor different at the exercise or short test at the end of chapters with US edition in very rare case.It is NOT low cost printed in India Edition.DHL/Fedex 3-5 days delivery.Tracking number provided. No P.O Box, APO, FPO address. Bookseller Inventory # 000595

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**Book Description **Prentice Hall, Lebanon, Indiana, U.S.A., 2007. Soft cover. Book Condition: New. 4th Edition. This is an INTERNATIONAL EDITION. Brand New, Soft Cover / Paper Back Textbook and is printed in English with a different ISBN and Cover Image with US Edition. The PHOTO and ISBN of the US Edition is for REFERENCE ONLY. The content and chapters are same as the US Edition. Printed on High Quality Color Glossy Paper which is same Paper Quality as Original US Edition. Some books may show some sales disclaimer word such as "Not for Sale or Restricted in US" on the cover page but it is absolutely legal to use in USA or Canada We do not sell low-cost / quality Indian version book. The ISBN of the actual book on SALE is stated in the Bookseller INVENTORY #. Shipping is 3-5 Working days by DHL or Fedex With Tracking number. We do not ship to PO Box, FPO and APO addresses. Bookseller Inventory # 9780132061155

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**Book Description **Pearson, 2007. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 1. First Order Differential Equations.Differential Equations and Mathematical Models. Integrals as General and Particular Solutions. Slope Fields and Solution Curves. Separable Equations and Applications. Linear First Order Equations. Substitution Methods and Exact Equations.2. Mathematical Models and Numerical Methods.Population Models. Equilibrium Solutions and Stability. Acceleration-Velocity Models. Numerical Approximation: Euler's Method. A Closer Look at the Euler Method, and Improvements. The Runge-Kutta Method.3. Linear Equations of Higher Order.Introduction: Second-Order Linear Equations. General Solutions of Linear Equations. Homogeneous Equations with Constant Coefficients. Mechanical Vibrations. Nonhomogeneous Equations and Undetermined Coefficients. Forced Oscillations and Resonance. Electrical Circuits. Endpoint Problems and Eigenvalues.4. Introduction to Systems of Differential Equations.First-Order Systems and Applications. The Method of Elimination. Numerical Methods for Systems.5. Linear Systems of Differential Equations.Linear Systems and Matrices. The Eigenvalue Method for Homogeneous Systems. Second Order Systems and Mechanical Applications. Multiple Eigenvalue Solutions. Matrix Exponentials and Linear Systems. Nonhomogenous Linear Systems.6. Nonlinear Systems and Phenomena.Stability and the Phase Plane. Linear and Almost Linear Systems. Ecological Models: Predators and Competitors. Nonlinear Mechanical Systems. Chaos in Dynamical Systems.7. Laplace Transform Methods.Laplace Transforms and Inverse Transforms. Transformation of Initial Value Problems. Translation and Partial Fractions. Derivatives, Integrals, and Products of Transforms. Periodic and Piecewise Continuous Forcing Functions. Impulses and Delta Functions.8. Power Series Methods.Introduction and Review of Power Series. Series Solutions Near Ordinary Points. Regular Singular Points. Method of Frobenius: The Exceptional Cases. Bessel's Equation. Applications of Bessel Functions.9. Fourier Series Methods.Periodic Functions and Trigonometric Series. General Fourier Series and Convergence. Even-Odd Functions and Termwise Differentiation. Applications of Fourier Series. Heat Conduction and Separation of Variables. Vibrating Strings and the One-Dimensional Wave Equation. Steady-State Temperature and Laplace's Equation.10. Eigenvalues and Boundary Value Problems.Sturm-Liouville Problems and Eigenfunction Expansions. Applications of Eigenfunction Series. Steady Periodic Solutions and Natural Frequencies. Applications of Bessel Functions. Higher-Dimensional Phenomena.References. Appendix: Existence and Uniqueness of Solutions. Answers to Selected Problems. Index. Bookseller Inventory # ABE_book_new_0131561073

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**Book Description **Pearson, 2007. Hardcover. Book Condition: New. book. Bookseller Inventory # 0131561073

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