Differential equations & linear algebra

✍ Scribed by Annin, Scott; Goode, Stephen W

• Publisher: Pearson
• Year: 2013;2014
• Tongue: English
• Leaves: 800
• Series: Pearson custom library
• Edition: Third edition, new international edition
• Category: Library

✦ Synopsis

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 Contents

Cover......Page 1
Table of Contents......Page 4
Chapter 1. First-Order Differential Equations......Page 6
Chapter 2. Matrices and Systems of Linear Equations......Page 116
Chapter 3. Determinants......Page 194
Chapter 4. Vector Spaces......Page 239
Chapter 5. Linear Transformations......Page 347
Chapter 6. Linear Differential Equations of Order n......Page 455
Chapter 7. Systems of Differential Equations......Page 538
Chapter 9. Series Solutions to Linear Differential Equations......Page 626
Chapter 8. The Laplace Transform and Some Elementary Applications......Page 693
Appendix A: Review of Complex Numbers......Page 744
Appendix B: Review of Partial Fractions......Page 750
Appendix C: Review of Integration Techniques......Page 757
Appendix D: Linearly Independent Solutions to x2y + xp(x)y + q(x)y = 0......Page 765
Appendix E: Answers to Odd-Numbered Exercises......Page 768
E......Page 796
L......Page 797
P......Page 798
V......Page 799
Z......Page 800

✦ Subjects

Science;Mathematics;Textbooks