Chapters 1-5 of this book contain all the material normally included in a third semester multivariable calculus course. Chapters 6-10 cover such topics as Fourier series, Greens and Stokess Theorems, and the implicit function theorem. The authors have made their treatment of the topics in the second half of the book as independent of each other as possible, giving the instructor a high degree of flexibility in structuring the course. This part of the book provides the topics for a thorough introduction to advanced calculus. A brief chapter on linear algebra is included in the Appendix.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1 Analytic Geometry in Three Dimensions.- 2 Vectors.- 3 Infinite Series.- 4 Partial Derivatives. Applications.- 5 Multiple Integration.- 6 Fourier Series.- 7 Implicit Function Theorems. Jacobians.- 8 Differentiation under the Integral Sign. Improper Integrals.- 9 Vector Field Theory.- 10 Green¿s and Stokes¿ Theorems.- Appendix 1.- Matrices and Determinants.- 1. Matrices.- 2. Matrices, Continued. Double Sums and Double Sequences.- 3. Determinants.- 4. Properties of Determinants.- 5. Cramer¿s Rule.- 6. The Rank of a Matrix. Elementary Transformations.- 7. General Linear Systems.- Appendix 2.- Proofs of Theorems 6, 10, 16, and 17 of Chapter 2.- Appendix 3.- to the Use of a Table of Integrals.- A Short Table of Integrals.- Answers to Odd-Numbered Problems. 672 pp. Englisch. Seller Inventory # 9781461270065
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