Calculus of Several Variables: Undergraduate Texts in Mathematics
Autor Serge Langen Limba Engleză Hardback – 17 feb 1987
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Springer – 17 feb 1987 | 362.13 lei 3-5 săpt. | +42.22 lei 6-10 zile |
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Specificații
ISBN-10: 0387964053
Pagini: 619
Ilustrații: XII, 619 p.
Dimensiuni: 155 x 235 x 37 mm
Greutate: 1.04 kg
Ediția:3rd ed. 1987
Editura: Springer
Colecția Springer
Seria Undergraduate Texts in Mathematics
Locul publicării:New York, NY, United States
Public țintă
Academic/professional/technical: UndergraduateCuprins
I: Basic Material. 1: Vectors. 2: Differentiation of Vectors. 3: Functions of Several Variables. 4: The Chain Rule and the Gradient. II: Maxima, Minima, and Taylor's Formula. 5: Maximum and Minimum. 6: Higher Derivatives. III: Curve Integrals and Double Integrals. 7: Potential Functions. 8: Curve Integrals. 9: Double Integrals. 10: Green's Theorem. IV: Triple and Surface Integrals. 12: Triple Integrals. V: Mappings, Inverse Mappings, and Change of Variables Formula. 13: Matrices. 14: Linear Mappings. 15: Determinants. 16: Applications to Functions of Several Variables. 17: The Change of Variables Formula. Appendix: Fourier Series.
Descriere
The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole.