Monographs and textbooks in pure and applied mathematics ;
مشخصه جلد
189
يادداشت کلی
متن يادداشت
Includes index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
متن يادداشت
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.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Calculus.
موضوع مستند نشده
Vector spaces.
موضوع مستند نشده
Analysis
موضوع مستند نشده
Calculus.
موضوع مستند نشده
Espaces vectoriels.
موضوع مستند نشده
Lineare Algebra
موضوع مستند نشده
Vector spaces.
موضوع مستند نشده
Vektoranalysis
رده بندی ديویی
شماره
515/
.
14
ويراست
20
رده بندی کنگره
شماره رده
QA303
نشانه اثر
.
C823
1995
سایر رده بندی ها
شماره رده
PA
45
شماره رده
SK
220
کد سيستم
blsrissc
کد سيستم
rvk
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )