Calculus : a complete course

Robert A. Adams, Christopher Essex

Beskrivelse

Summary: "Calculus: A Complete Course, 10th Edition, contains 21 chapters, P and 1-20, plus 6 Appendices. It covers the material usually encountered in a three- to five-semester real variable calculus program, involving real-valued functions of a single real variable (differential calculus in Chapters 1-4 and integral calculus in Chapters 5-8), as well as vector valued functions of a single real variable (covered in Chapter 12), real-valued functions of several real variables (in Chapters 13-15), and vector-valued functions of several real variables (in Chapters 16-18). Chapter 9 concerns sequences and series, and its position is rather arbitrary.".

Indhold

Seneste udgave,

P: Preliminaries - 1: Limits and Continuity - 2: Differentiation - 3: Transcendental Functions - 4: More Applications of Differentiation - 5: Integration - 6: Techniques of Integration - 7: Applications of Integration - 8: Conics, Parametric Curves, and Polar Curves - 9: Sequences, Series, and Power Series - 10: Vectors and Coordinate Geometry in 3-Space - 11: Vector Functions and Curves - 12: Partial Differentiation - 13: Applications of Partial Derivatives - 14: Multiple Integration - 15: Vector Fields - 16: Vector Calculus - 17: Ordinary Differential Equations. - Appendices: I: Complex Numbers - II: Complex Functions - III: Continuous Functions - IV: The Riemann Integral - V: Doing Calculus with Maple