Multivariable calculus with engineering and science applications
Author(s)
Bibliographic Information
Multivariable calculus with engineering and science applications
Prentice Hall, 1996
Prelim. version
Available at 2 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes index
入力は遡及データによる
Description and Table of Contents
Description
Aimed at students seeking a career in science, engineering or mathematics, this text on multivariable calculus emphasizes that calculus is best understood via geometry and interdisciplinary applications. The book includes problem sets and chapter projects that offer a substantial source of applied problems. Also included are chapter-end "do-it-yourself" projects on topics in science, engineering and probability. Short examples of MATLAB code are featured occasionally.
Table of Contents
- (NOTE: Each chapter contains Highlights and Review Problems). 1. Sequences and Series. Sequences. Monotone Sequences and Successive Approximations. Infinite Series. Series with Nonnegative Terms and Comparison Tests. Absolute and Conditional Convergence
- Alternating Series. The Ratio and Root Tests. Chapter Project: Dynamical Systems. 2. Power Series. Taylor Polynomials. Taylor Series and Power Series. Differentiation and Integration of Power Series. Power Series and Differential Equations
- The Binomial Series. Chapter Project: Random Walks. 3. Vectors. Rectangular Coordinates in 3-Space. Vectors. The Dot Product. The Cross Product. Lines and Planes. Chapter Project: Friction. 4. Vector Calculus. Parametric Curves. Vector Functions and Curve Length. Velocity, Speed, and Acceleration. Curvature
- Tangential and Normal Components of Acceleration. Motion in Polar Coordinates. Chapter Project: Pursuit Problems. 5. Differential Calculus for Functions of Two and Three Variables. Functions and Graphs. Limits and Continuity. Partial Derivatives. Tangent Planes, Linear Approximations, and Differentials. Chain Rules and Directional Derivatives. Gradients. Chapter Project: Curves of Steepest Descent and Ascent. 6. Max-Min Problems for Functions of Two and Three Variables. Maximum and Minimum Values. Higher Order Partial Derivatives and the Second Partials Test. Constrained Max-Min Problems and Lagrange Multipliers. Chapter Project: Optimal Location. 7. Integral Calculus for Functions of Two and Three Variables. Double Integrals in Rectangular Coordinates. Triple Integrals in Rectangular Coordinates. Double and Triple Integrals in Polar and Cylindrical Coordinates. Triple Integrals in Spherical Coordinates. Further Applications of Double and Triple Integrals. Chapter Project: Numerical Integration. 8. Elements of Vector Analysis. Scalar and Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Greens Theorem and Applications. Surface Area and Surface Integrals. The Divergence Theorem (Gauss Theorem) and Applications. Stokes Theorem and Applications. Chapter Project: Heat Conduction. Appendices. Radius of Convergence of a Power Series. Differentiation and Integration of Power Series. Answers to Selected Odd-Numbered Problems. Index.
by "Nielsen BookData"