Differential Equations
$173.32
| Title | Range | Discount |
|---|---|---|
| Trade Discount | 5 + | 25% |
- Description
- Additional information
Description
Table of Contents
- First-Order Differential Equations
- 1.1 Differential Equations and Mathematical Models
- 1.2 Integrals as General and Particular Solutions
- 1.3 Slope Fields and Solution Curves
- 1.4 Separable Equations and Applications
- 1.5 Linear First-Order Equations
- 1.6 Substitution Methods and Exact Equations
- Mathematical Models and Numerical Methods
- 2.1 Population Models
- 2.2 Equilibrium Solutions and Stability
- 2.3 Acceleration—Velocity Models
- 2.4 Numerical Approximation: Euler’s Method
- 2.5 A Closer Look at the Euler Method
- 2.6 The Runge—Kutta Method
- Linear Equations of Higher Order
- 3.1 Introduction: Second-Order Linear Equations
- 3.2 General Solutions of Linear Equations
- 3.3 Homogeneous Equations with Constant Coefficients
- 3.4 Mechanical Vibrations
- 3.5 Nonhomogeneous Equations and Undetermined Coefficients
- 3.6 Forced Oscillations and Resonance
- 3.7 Electrical Circuits
- 3.8 Endpoint Problems and Eigenvalues
- Introduction to Systems of Differential Equations
- 4.1 First-Order Systems and Applications
- 4.2 The Method of Elimination
- 4.3 Numerical Methods for Systems
- Linear Systems of Differential Equations
- 5.1 Matrices and Linear Systems
- 5.2 The Eigenvalue Method for Homogeneous Systems
- 5.3 A Gallery of Solution Curves of Linear Systems
- 5.4 Second-Order Systems and Mechanical Applications
- 5.5 Multiple Eigenvalue Solutions
- 5.6 Matrix Exponentials and Linear Systems
- 5.7 Nonhomogeneous Linear Systems
- Nonlinear Systems and Phenomena
- 6.1 Stability and the Phase Plane
- 6.2 Linear and Almost Linear Systems
- 6.3 Ecological Models: Predators and Competitors
- 6.4 Nonlinear Mechanical Systems
- 6.5 Chaos in Dynamical Systems
- Laplace Transform Methods
- 7.1 Laplace Transforms and Inverse Transforms
- 7.2 Transformation of Initial Value Problems
- 7.3 Translation and Partial Fractions
- 7.4 Derivatives, Integrals, and Products of Transforms
- 7.5 Periodic and Piecewise Continuous Input Functions
- 7.6 Impulses and Delta Functions
New and updated features of this title
- Leaner and more streamlined coverage allows students to learn traditional manual topics (like exact equations and variation of parameters) more easily.
- Application modules are greatly enhanced by the material available in MyLab Math. Typical materials include an expanded PDF version of the text with further discussion or additional applications, with files in a variety of platforms including Mathematica, Maple and MATLAB.
Hallmark features of this title
- A numerical methods emphasis is made possible by early introduction of numerical solution techniques, mathematical modeling, stability and qualitative properties of differential equations. Generic numerical algorithms can be implemented in various technologies.
- 44 Application Modules follow key sections throughout the text, most providing computing projects that illustrate the content of the corresponding text sections.
- Approximately 2000 problems span the range from computational problems to applied and conceptual problems.
- The expansive answer section includes the answers to most odd-numbered and many even-numbered problems.
- Emphasis on the intersection of technology and ODEs recognizes the need to instruct students in the new methods of computing differential equations.
- The software systems tailored specifically to differential equations (as well as the widely used Maple, Mathematica and MATLAB) are explored.
About our authors
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 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. In 2013 Prof. Edwards was named a Fellow of the American Mathematical Society.
The late 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.
David T. Calvis is Professor of Mathematics at Baldwin Wallace University near Cleveland, Ohio. He completed a Ph.D. in complex analysis from the University of Michigan in 1988 under the direction of Fred Gehring. While at Michigan he also received a Master’s degree in Computer, Information, and Control Engineering. Having initially served at Hillsdale College in Michigan, he has been at Baldwin Wallace since 1990, most recently assisting with the creation of an Applied Mathematics program there. He has received a number of teaching awards, including BWU’s Strosacker Award for Excellence in Teaching and Student Senate Teaching Award. He is the author of a number of materials dealing with the use of computer algebra systems in mathematics instruction, and has extensive classroom experience teaching differential equations and related topics.
NOTE: This edition features the 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. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title—including customized versions for individual schools—and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering platforms.
For one-semester sophomore- or junior-level courses in Differential Equations.
The right balance between concepts, visualization, applications, and skills – now available with MyLab Math
Differential Equations: Computing and Modeling provides the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena – a comprehensive approach that makes accessible 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.
For the first time, MyLab™ Math is available for this text, providing online homework with immediate feedback, the complete eText, and more. Additionally, new presentation slides created by author David Calvis are available in Beamer (LaTeX) and PDF formats. The slides are ideal for classroom lectures and student review, and combined with Calvis’ superlative instructional videos offer a level of support not found in any other Differential Equations course.
Also available with MyLab Math
MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.
NOTE: This edition features the 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. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title–including customized versions for individual schools–and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering platforms.
For one-semester sophomore- or junior-level courses in Differential Equations.
Fosters the conceptual development and geometric visualization students need—now available with MyLab Math
Differential Equations: Computing and Modeling blends traditional algebra problem-solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena—a comprehensive approach that makes accessible 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. For the first time, MyLab™ Math is available for the 5th Edition, providing online homework with immediate feedback, the complete eText, and more. Additionally, new presentation slides created by author David Calvis are now live in MyLab Math, available in Beamer (LaTeX) and PDF formats. The slides are ideal for both classroom lectures and student review, and combined with Calvis’ superlative videos offer a level of support not found in any other Differential Equations course.
Also available with MyLab Math
MyLab™ Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.
Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase both the physical text and MyLab Math, search for:
0134996003 / 9780134996004 Differential Equations: Computing and Modeling Media Update and MyLab Math with Pearson eText — Title-Specific Access Card Package, 5/e (Note: this is NOT Books a la Carte version)
Package consists of:
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0134850475 / 9780134850474 Differential Equations: Computing and Modeling Media Update
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0134873084 / 9780134873084 MyLab Math plus Pearson eText – Standalone Access Card – for Differential Equations: Computing and Modeling Media Update
Additional information
| Dimensions | 0.90 × 8.00 × 10.00 in |
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| Subjects | mathematics, higher education, Calculus, Applied & Advanced Math, Advanced Math, Differential Equations |
