Multivariable Calculus with MATLAB®

Pays considerable attention to visualization and graphics

Provides non-routine problem sets that are fundamental to the reader's understanding of the material

Exposes readers to a holistic approach that embraces algebraic/calculus-based solutions and numerical, graphical/geometric, and qualitative approaches

Autorentext

Ronald Lipsman retired in 2010 after a 41-year career as Professor of Mathematics at the University of Maryland. During his last decade on campus, he served as Senior Associate Dean of the College of Computer, Mathematical and Physical Sciences. His research interests include group representations and harmonic analysis on Lie groups. He received his Ph.D. from MIT in 1967 and was a Gibbs Instructor at Yale University, 1967-1969. Jonathan Rosenberg is Ruth M. Davis Professor of Mathematics at the University of Maryland, a Fellow of the American Mathematical Society, and a Managing Editor of Annals of K-Theory. His research interests include geometry, topology, and mathematical physics. He received his Ph.D. from the University of California, Berkeley, in 1976, and joined the faculty at Maryland in 1981. Professors Lipsman and Rosenberg have collaborated on numerous research and educational projects. Among their educational texts is: A Guide to MATLAB, 3rd ed, 2014.

Klappentext

Pays considerable attention to visualization and graphics Provides non-routine problem sets that are fundamental to the reader's understanding of the material Exposes readers to a holistic approach that embraces algebraic/calculus-based solutions and numerical, graphical/geometric, and qualitative approaches

Zusammenfassung

Pays considerable attention to visualization and graphics

Provides non-routine problem sets that are fundamental to the reader's understanding of the material

Exposes readers to a holistic approach that embraces algebraic/calculus-based solutions and numerical, graphical/geometric, and qualitative approaches

Inhalt

1. Introduction.- 2. Vectors and Graphics.- 3. Geometry of Curves.- 4. Kinematics.- 5. Directional Derivatives.- 6. Geometry of Surfaces.- 7. Optimization in Several Variables.- 8. Multiple Integrals.- 9. Multidimensional Calculus.- 10. Physical Applications of Vector Calculus.- 11. MATLAB Tips.- Sample Solutions.- Index.