Multivariable Calculus

Multivariable Calculus

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For courses in Calculus for students in engineering, science, and math.Built from the ground up to meet the needs of today's calculus students, Strauss/Bradley/Smith pairs a complete calculus syllabus with the best elements of reform-like extensive verbalization and strong geometric visualization. The Third Edition of this groundbreaking text has been crafted and honed, making it the text of choice for those seeking the best of both worlds. It offers an exciting choice of problem more

Product details

  • Hardback | 465 pages
  • 217.9 x 277.9 x 17mm | 1,065.95g
  • Pearson Education (US)
  • Pearson
  • United States
  • English
  • 3rd edition
  • 0130337854
  • 9780130337856

Table of contents

9. Vectors in the Plane and in Space. Vectors in R2. Coordinates and Vectors in R3. The Dot Product. The Cross Product. Parametric Representation of Curves; Lines in R3. Planes in R3. Quadric Surfaces. Group Research Project: Star Trek.10. Vector-Valued Functions. Introduction to Vector Functions. Differentiation and Integration of Vector Functions. Modeling Ballistics and Planetary Motion. Unit Tangent and Principal Unit Normal Vectors; Curvature. Tangential and Normal Components of Acceleration. Guest Essay: the Stimulation of Science, Howard Eves.11. Partial Differentiation. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes, Approximations, and Differentiability. Chain Rules. Directional Derivatives and the Gradient. Extrema of functions of Two Variables. Lagrange Multipliers. Group Research Project: Desertification.12. Multiple Integration. Double Integration over Rectangular Regions. Double Integration over Nonrectangular Regions. Double Integrals in Polar Coordinates. Surface Area. Triple Integrals. Mass, Moments, and Probability Density Functions. Cylindrical and Spherical Coordinates. Jacobians: Change of Variables. Group Research Project: Space-Capsule Design.13. Introduction to Vector Analysis. Properties of a Vector: Divergence and Curl. Line Integrals. The Fundamental Theorem and Path Independence. Green's Theorem. Surface Integrals. Stoke's Theorem. The Divergence Theorem. Guest Essay: Continuous vs. Discrete Mathematics.14. Introduction to Differential Equations. First-Order Differential Equations. Second-Order Homogeneous Linear Differential Equations. Second-Order Nonhomogeneous Linear Differential Equations. Group Research Project: Save the Perch Project.Appendix A. Introduction to the Theory of Limits. Appendix B. Selected Proofs. Appendix C. Significant Digits. Appendix D. Short Table of Integrals. Appendix E. Trigonometric Formulas. Appendix F. Answers to Odd-Numbered Problems. more

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