عنوان
پدید آورنده
موضوع
رده
QA303 .C823 1995
QA303
.
C823
1995
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0824792793
(Number (ISBN
9780824792794
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Calculus in vector spaces /
General Material Designation
[Book]
First Statement of Responsibility
Lawrence J. Corwin, Robert H. Szczarba.
EDITION STATEMENT
Edition Statement
2nd ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
M. Dekker,
Date of Publication, Distribution, etc.
©1995.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xi, 583 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm.
SERIES
Series Title
Monographs and textbooks in pure and applied mathematics ;
Volume Designation
189
GENERAL NOTES
Text of Note
Includes index.
CONTENTS NOTE
Text of Note
Ch. 1. Some Preliminaries -- Ch. 2. Vector Spaces -- Ch. 3. The Derivative -- Ch. 4. The Structure of Vector Spaces -- Ch. 5. Compact and Connected Sets -- Ch. 6. The Chain Rule, Higher Derivatives, and Taylor's Theorem -- Ch. 7. Linear Transformations and Matrices -- Ch. 8. Maxima and Minima -- Ch. 9. The Inverse and Implicit Function Theorems -- Ch. 10. The Spectral Theorem -- Ch. 11. Integration -- Ch. 12. Iterated Integrals and the Fubini Theorem -- Ch. 13. Line Integrals -- Ch. 14. Surface Integrals -- Ch. 15. Differential Forms -- Ch. 16. Integration of Differential Forms -- Appendix 1. The Existence of Determinants -- Appendix 2. Jordan Canonical Form.
0
SUMMARY OR ABSTRACT
Text of Note
Addressing linear algebra from the basics to the spectral theorem and examining a host of topics in multivariable calculus, including differentiation, integration, maxima and minima, the inverse and implicit function theorems, and differential forms, this thoroughly revised Second Edition of an invaluable reference/text - widely successful through five printings - continues to provide unified, integrated coverage of the two fields.
Text of Note
Demonstrating that mathematics is a noncompartmentalized discipline of interrelated subjects, Calculus in Vector Spaces, Second Edition introduces the derivative as a linear transformation ... presents linear algebra in a concrete context based on complementary ideas in calculus ... explains differential forms on Euclidean space permitting Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting ... gives a new clarification of compactness as defined in terms of coverings and in terms of sequences ... supplies a novel treatment of eigenvalues and eigenvectors ... and more.
TOPICAL NAME USED AS SUBJECT
Calculus.
Vector spaces.
Analysis
Calculus.
Espaces vectoriels.
Lineare Algebra
Vector spaces.
Vektoranalysis
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
14
Edition
20
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA303
Book number
.
C823
1995
OTHER CLASS NUMBERS
Class number
PA
45
Class number
SK
220
System Code
blsrissc
System Code
rvk
PERSONAL NAME - PRIMARY RESPONSIBILITY
Corwin, Lawrence J.,1943-
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Szczarba, Robert Henry,1932-
ORIGINATING SOURCE
Date of Transaction
20200822141245.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
