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Multivariable calculus (6° ed ) (6th Ed.)

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Multivariable calculus (6° ed )
For one-semester undergraduate-level courses in Multivariable Calculus.
This text combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains superb problem sets and a fresh conceptual emphasis flavored by new technological possibilities.
11. Infinite Series.
Introduction. Infinite Sequences. Infinite Series and Convergence. Taylor Series and Taylor Polynomials. The Integral Test. Comparison Tests for Positive-Term Series. Alternating Series and Absolute Convergence. Power Series. Power Series Computations. Series Solutions of Differential Equations.

12. Vectors and Matrices.
Vectors in the Plane. Rectangular Coordinates and Three-Dimensional Vectors. The Cross Product of Vectors. Lines and Planes in Space. Curves and Motions in Space. Curvature and Acceleration. Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates.

13. Partial Differentiation.
Introduction. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Multivariable Maxima and Minima. Increments and Linear Approximation. The Multivariable Chain Rule. Directional Derivatives and Gradient Vectors. Lagrange Multipliers and Constrained Optimization. Critical Points of Multivariable Functions.

14. Multiple Integrals.
Double Integrals. Double Integrals over More General Regions. Area and Volume by Double Integration. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Integration in Cylindrical and Spherical Coordinates. Surface Area. Change of Variables in Multiple Integrals.

15. Vector Calculus.
Vector Fields. Line Integrals. The Fundamental Theorem and Independence of Path. Greens Theorem. Surface Integrals. The Divergence Theorem. Stokes Theorem.

Appendices.
Answers.
Index.

C. Henry Edwards is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and recently retired after 40 years of classroom teaching (including calculus or differential equations almost every term) at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards, including the University of Georgia's honoratus medal in 1983 (for sustained excellence in honors teaching), its Josiah Meigs award in 1991 (the institution's highest award for teaching), and the 1997 statewide Georgia Regents award for research university faculty teaching excellence. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in the teaching and applications of mathematics. In addition to being author or co-author of calculus, advanced calculus, linear algebra, and differential equations textbooks, he is well-known to calculus instructors as author of The Historical Development of the Calculus (Springer-Verlag, 1979). During the 1990s he served as a principal investigator on three NSF-supported projects: (1) A school mathematics project including Maple for beginning algebra students, (2) A Calculus-with-Mathematica program, and (3) A MATLAB-based computer lab project for numerical analysis and differential equations students.

David E. Penney, University of Georgia, completed his Ph.D. at Tulane University in 1965 (under the direction of Prof. L. Bruce Treybig) while teaching at the University of New Orleans. Earlier he had worked in experimental biophysics at Tulane University and the Veteran's Administration Hospital in New Orleans under the direction of Robert Dixon McAfee, where Dr. McAfee's research team's primary focus was on the activ

  • NEW - Free CD - Shows animations of nearly all the text examples. It also has the entire book in Maple notebooks.
  • NEW - 500 new True/False Questions - Available on the CD. They focus on theory and push the student to read.
  • Approximately 3000 conceptual problems and interesting applications - Covers all ranges of difficulty, highly theoretical and computationally oriented problems, encourages students to learn by doing.
  • Technology projects - Features icons that take users to Maple/ Mathematica/MATLAB/Calculator resources on the CD-ROM, gives students the opportunity to apply conceptually based technology following key sections of the text.
  • Section-ending Concepts: Questions &, Discussion, serves students with a basis for either writing assignments or class discuss

Date de parution :

Ouvrage de 560 p.

10x10 cm

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