Intermediate Calculus

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.

Dettagli sul prodotto

• Autori: Murray Protter, Charles B Jr Morrey, Murray H Protter, Murray H. Protter, Charles B. Jr. Morrey, Charles B. Morrey
• Editore: Springer, Berlin
• Lingue: Inglese
• Contenuto: Libro
• Forma del prodotto: Copertina rigida
• Data pubblicazione: 30.06.2009
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi
• EAN: 9780387960586
• ISBN: 978-0-387-96058-6
• Numero di pagine: 655
• Illustrazioni: X, 655 p.
• Altezza (della confezione): 23.5 cm
• Peso (della confezione): 1’080 g
• Serie: Undergraduate Texts in Mathematics; Undergraduate Texts in Mathematics