Differential Equations and Linear Algebra, 3/e
This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra.
Differential Equations and Linear Algebra, 3/e
For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus.
This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose."
Table of Content :
- First-Order Differential Equation
- Matrices and Systems of Linear Equations
- Determinants
- Vector Spaces
- Linear Transformation
- Linear Differential Equations of Order n
- Systems of Differential Equations
- Series Solutions to Linear Differential Equations
- The Laplace Transform and Some Elementary Applications
Appendices
A. Review of Complex Numbers
B. Review of Partial Fractions
C. Review of Integration Techniques
D. Linearly Independent Solutions to x2yn + xp(x)y1 + q(x)y = 0
E. Answers to Odd-Numbered Exercises"
Salient Features
- A better integration of DE and Linear Algebra than other texts on the market.
- One of the most lucid and clearly written narratives on the subject, with material that is accessible to the average student yet challenging to all students.
- Highly flexible organization - Enables instructors to tailor the course to meet their needs.
- A greater emphasis on geometry - Helps students better visualize the abstract concepts.
- An ample number of worked examples to illustrate concepts.
- Boxed and/or shaded definitions for greater emphasis.
- Several application problems introduced in the first section of the text - Subsequently uses them throughout the following chapters to help motivate students."
| Book | |
|---|---|
| Author | Stephen W. Goode |
| Pages | 800 |
| Year | 2016 |
| ISBN | 9789332571631 |
| Publisher | Pearson |
| Language | English |
| Uncategorized | |
| Edition | 3/e |
| Weight | 1.12 kg |
| Dimensions | 20.3 x 25.4 x 4.7 cm |
| Binding | Paperback |