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Functions of several variables / Wendell Fleming

By: Fleming, Wendell Helms
Material type: TextTextSeries: Undergraduate texts in mathematics0172-6056Publisher: New York Springer 1977Edition: 2. edDescription: 411 s. illISBN: 3540902066 (Berlin); 0-387-90206-6 (New York)Subject(s): Functions of several real variables | Functions of real variables | Manifolds (Mathematics) | Global analys | Integrationsteori | Mångfalder (matematik) | Måtteori | Reella funktioner | Real functions | Differentialformer | Differential forms | Manifolds | Komplexa variabler | Matematik | Reella funktionerDDC classification: 515.84 Other classification: Tdh | Tda | Tda | 58 | 28 | 26B | 515 | 26-01
Contents:
1. Euclidian spaces -- 2. Elementary topology of En -- 3. Differentiation of real-valued functions -- 4. Vector-valued functions of several variables -- 5. Integration -- 6. Curves and line integrals -- 7. Exterior algebra and differential calculus -- 8. Integration on manifolds -- Appendix 1: Axioms for a vector space -- Appendix 2: Mean value theorem ; Taylor's theorem -- Appendix 3: Review of Riemann -- Appendix 4: Monotone functions
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1. Euclidian spaces -- 2. Elementary topology of En -- 3. Differentiation of real-valued functions -- 4. Vector-valued functions of several variables -- 5. Integration -- 6. Curves and line integrals -- 7. Exterior algebra and differential calculus -- 8. Integration on manifolds -- Appendix 1: Axioms for a vector space -- Appendix 2: Mean value theorem ; Taylor's theorem -- Appendix 3: Review of Riemann -- Appendix 4: Monotone functions

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