Calculus Single And Multivariable, 4th Ed

Calculus Single And Multivariable, 4th Ed Book Description

Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material. ? 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 Many Variables ? Optimization: Local and Global Extrema ? Integrating Functions of Many Variables ? Parameterized Curves and Vector Fields ? Line Integrals ? Flux Integrals ? Calculus of Vector Fields Appendix A: Roots, Accuracy, and Bounds Appendix B: Complex Numbers Appendix C: Newton's Method Appendix D: Determinants Ready Reference Answers to Odd Numbered Problems Index Deborah Hughes-Hallett, William G. McCallum, Andrew Gleason, David O. Lomen & David Lovelock, Univ. of Arizona Daniel E. Flath, National Univ. of Singapore Patti Frazer Lock, St. Lawrence Univ. Sheldon P. Gordon, Suffolk County Community College Brad G. Osgood, Stanford Univ. Andrew Pasquale, Chelmsford High School Douglas Quinney, Univ. of Keele, UK Jeff Tecosky-Feldman, Haverford College Joe B. Thrash & Karen Rhea, Univ. of Southern Mississippi Thomas W. Tucker, Colgate Univ. ? Mathematicians ? Engineers ? Physicists ? Chemists ? Biologists ? Economists ? Students of Calculus

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