Addison-Wesley / Prentice Hall
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Multivariable Mathematics, 4/E
ISBN-10: 0130672769
ISBN-13: 9780130672766
Publisher: Pearson
Copyright: 2004
Format: Paper; 864 pp
Published: 06/24/2003
Status: Instock
For courses in second-year calculus, linear calculus and differential equations.
This text explores the standard problem-solving techniques of multivariable mathematics — integrating vector algebra ideas with multivariable calculus and differential equations. This text offers a full year of study and the flexibility to design various one-term and two-term courses.
Allows students to interpret solutions in the state-space that governs the evolution of a system.
Avoids the difficulties of following up this method to the multiple-eigenvalue case, referring ahead to the exponential matrix alternative.
Provides streamlined and unified presentation of these topics for students.
Presents this topic much more simply and intuitively, with the case of vector-valued functions treated separately.
Allows the later introduction of the derivative matrix to be more natural.
Gives those students who want to cover this more theoretical material a multitude of concrete examples.
Provides students with easy access to those useful programs.
Allows students to produce approximate solutions where closed-form solutions are unavailable.
Offers students additional opportunity to practice interpreting and computing multiple integrals.
Avoids the unnecessarily complicated treatment and aids students in remembering the material.
Allows professor flexibility in lesson planning.
Provides a bit of rigor, but not too much.
Reinforces concepts taught in the chapter through a variety of means.
Offers students ample opportunity to practice the concepts learned in the chapters.
Allows students to interpret solutions in the state-space that governs the evolution of a system.
Avoids the difficulties of following up this method to the multiple-eigenvalue case, referring ahead to the exponential matrix alternative.
Provides streamlined and unified presentation of these topics for students.
Presents this topic much more simply and intuitively, with the case of vector-valued functions treated separately.
Allows the later introduction of the derivative matrix to be more natural.
Gives those students who want to cover this more theoretical material a multitude of concrete examples.
Provides students with easy access to those useful programs.
Allows students to produce approximate solutions where closed-form solutions are unavailable.
Offers students additional opportunity to practice interpreting and computing multiple integrals.
Avoids the unnecessarily complicated treatment and aids students in remembering the material.
1. Vectors.
2. Equations and Matrices.
3. Vector Spaces and Linearity.
4. Derivatives.
5. Differentiability.
6. Vector Differential Calculus.
7. Multiple Integration.
8. Integrals and Derivatives on Curves.
9. Vector Field Theory.
10. First Order Differential Equations.
11. Second-Order Equations.
12. Introduction to Systems.
13. Matrix Methods.
14. Infinite Series.
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