Murray H. Protter, Charles B. Jr. Morrey

Intermediate Calculus

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Undergraduate Texts in Mathematics
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4612-7006-5
• 2. Aufl.
• Seitenzahl: 672
• Erscheinungstermin: 8. Oktober 2012
• Englisch
• Abmessung: 235mm x 155mm x 36mm
• Gewicht: 1001g
• ISBN-13: 9781461270065
• ISBN-10: 1461270065
• Artikelnr.: 37479466

Inhaltsangabe

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.