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Thomas' Calculus, Media Upgrade, Part Two (Multivariable, Chap 11-16)
ISBN: 9780321501035 | 0321501039
Edition: 11thFormat: Paperback
Publisher: Pearson
Pub. Date: 1/5/2007
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"Thomas' Calculus Part Two Media Upgrade, Eleventh Edition, " responds to the needs of today's readers by developing their conceptual understanding while strengthening their skills in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refi... MORE
| Infinite Sequences and Series | |
| Sequences | |
| Infinite Series | |
| The Integral Test | |
| Comparison Tests | |
| The Ratio and Root Tests | |
| Alternating Series, Absolute and Conditional Convergence | |
| Power Series | |
| Taylor and Maclaurin Series | |
| Convergence of Taylor Series; Error Estimates | |
| Applications of... MORE | |
| Fourier Series | |
| Vectors and the Geometry of Space | |
| Three-Dimensional Coordinate Systems | |
| Vectors | |
| The Dot Product | |
| The Cross Product | |
| Lines and Planes in Space | |
| Cylinders and Quadric Surfaces | |
| Vector-Valued Functions and Motion in Space | |
| Vector Functions | |
| Modeling Projectile Motion | |
| Arc Length and the Unit Tangent Vector T | |
| Curvature and the Unit Normal Vector N | |
| Torsion and the Unit Binormal Vector B | |
| Planetary Motion and Satellites | |
| Partial Derivatives | |
| Functions of Several Variables | |
| Limits and Continuity in Higher Dimensions | |
| Partial Derivatives | |
| The Chain Rule | |
| Directional Derivatives and Gradient Vectors | |
| Tangent Planes and Differentials | |
| Extreme Values and Saddle Points | |
| Lagrange Multipliers | |
| Partial Derivatives with Constrained Variables | |
| Taylor's Formula for Two Variables | |
| Multiple Integrals | |
| Double Integrals | |
| Areas, Moments and Centers of Mass | |
| Double Integrals in Polar Form | |
| Triple Integrals in Rectangular Coordinates | |
| Masses and Moments in Three Dimensions | |
| Triple Integrals in Cylindrical and Spherical Coordinates | |
| Substitutions in Multiple Integrals | |
| Integration in Vector Fields | |
| Line Integrals | |
| Vector Fields, Work, Circulation, and Flux | |
| Path Independence, Potential Functions, and Conservative Fields | |
| Green's Theorem in the Plane | |
| Surface Area and Surface Integrals | |
| Parametrized Surfaces | |
| Stokes' Theorem | |
| The Divergence Theorem and a Unified Theory | |
| Appendices | |
| Mathematical Induction | |
| Proofs of Limit Theorems | |
| Commonly Occurring Limits | |
| Theory of the Real Numbers | |
| Complex Numbers | |
| The Distributive Law for Vector Cross Products | |
| Determinants and Cramer's Rule | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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