For a thorough introduction to the basics of differential equations and linear algebra with a carefully balanced and sound integration of the two topics.
Flexible in format, it explains concepts clearly and logically without sacrificing level or rigor and supports material with a vast array of problems of varying levels from which students/instructors can choose.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 241 mm
Breite: 243 mm
Dicke: 31 mm
Gewicht
ISBN-13
978-0-13-263757-2 (9780132637572)
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Schweitzer Klassifikation
1. First-Order Differential Equations.
2. Second-Order Linear Differential Equations.
3. Matrices and Systems of Linear Algebraic Equations.
4. Determinants.
5. Vector Spaces.
6. Linear Transformations and the Eigenvalue/Eigenvector Problem.
7. Linear Differential Equations of Order n.
8. Systems of Differential Equations.
9. The Laplace Transform and Some Elementary Applications.
10. Series Solutions to Differential Equations.
Appendix 1. A Review of Complex Numbers.
Appendix 2. A Review of Partial Fractions.
Appendix 3. A Review of Integration Techniques.
Appendix 4. An Existence and Uniqueness Theorem for First-Order Differential Equations.
Appendix 5. Linearly Independent Solutions to: x2 y" + xp(x) y' + q(x)y = 0.
Answers to Odd Numbered Problems.
Index.