Hughes–Hallett, Deborah, Gleason, Andrew M., Flath, Daniel E., Lovelock, David, Lock, Patti Frazer, Quinney, Douglas, Connally, Eric, Mumford, David, Lonzano, Guadalupe I., Rhea, Karen, Kalaycýoðlu, Selin, Raskind, Wayne, Lahme, Brigitte, McCallum, William G. 　著

目次

A Library of Functions. Key Concept: The Derivative. Short–Cuts to Differentiation. Using the Derivative. Key Concept: The Definite Integral. Constructing Antiderivatives. Integration. Using the Definite Integral. Series. Approximating Functions. Differential Equations. Functions of Several Variables. A Fundamental Tool: Vectors. Differentiating Functions of Several Variables. Optimization: Local and Global Extrema. Integrating Functions of Several Variables. Parameterization and Vector Fields. Line Integrals. Flux Integrals. Calculus of Vector Fields. Appendix A: Roots, Accuracy, and Bounds. Appendix B: Polar Coordinates. Appendix C: Complex Numbers. Appendix D: Newton's Method. Appendix E: Determinants. Ready Reference. Answers to Odd Numbered Problems. Index.