Calculus in Vector Spaces, Revised Expanded
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A01=Lawrence Corwin
A01=Robert Szczarba
advanced calculus textbook
Author_Lawrence Corwin
Author_Robert Szczarba
Category=PBH
Category=PBK
Cauchy Sequence
Column Operations
Compact and Connected Sets
Compact Sets
Convergent Sequence
differentiable
differential forms integration in Euclidean space
differential topology
dimensional
Elementary Row Operations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exterior Differential
field
finite
Finite Dimensional Normed Vector Spaces
function
Gauss Theorem
Greatest Lower Bound
green's
Green's Theorem
Green’s Theorem
implicit function theorem
Isomorphic Vector Spaces
Jordan canonical form
Lawrence J. Corwin
Line Integrals
linear
Linear Transformation
Linear Transformations and Matrices
mathematical physics applications
multivariable analysis
Normed Vector Space
open
Open Subset
Oriented Surface
Permutation Matrix
Real Numbers
Robert H. Szczarba
Row Operations
Row Rank
subset
Surface Integrals
Tangent Plane
The Spectral Theorem
The Structure of Vector Spaces
transformation
Uniformly Continuous
Vector Field
Vector Spaces
Product details
- ISBN 9780824792794
- Weight: 839g
- Dimensions: 152 x 229mm
- Publication Date: 08 Dec 1994
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
