Lawrence Corwin

Calculus in Vector Spaces, Revised Expanded

• Gebundenes Buch

Produktbeschreibung

Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.

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Produktdetails

• Verlag: CRC Press
• 2nd edition
• Seitenzahl: 604
• Erscheinungstermin: 8. Dezember 1994
• Englisch
• Abmessung: 234mm x 160mm x 32mm
• Gewicht: 934g
• ISBN-13: 9780824792794
• ISBN-10: 0824792793
• Artikelnr.: 22129385

Autorenporträt

Corwin, Lawrence

Inhaltsangabe

Some Preliminaries. Vector Spaces. The Derivative. The Structure of Vector
Spaces. Compact and Connected Sets. The Chain Rule, Higher Derivatives, and
Taylor's Theorem. Linear Transformations and Matrices. Maxima and Minima.
The Inverse and Implicit Function Theorems. The Spectral Theorem.
Integration. Iterated Integrals and the Fubini Theorem. Line Integrals.
Surface Integrals. Differential Forms. Integration of Differential Forms.
Appendices: the existence of determinants, Jordan canonical form, solutions
of selected exercises.