Differential and Integral Calculus. Differential and Integral Calculus V 2. Volume 2. Wiley Classics Library

  • ID: 2172962
  • Book
  • 694 Pages
  • John Wiley and Sons Ltd
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Partial table of contents:

Preliminary Remarks on Analytical Geometry and Vector Analysis: Rectangular Coordinates and Vectors, Affine Transformations and the Multiplication of Determinants.

Functions of Several Variables and Their Derivatives: Continuity, The Total Differential of a Function and Its Geometrical Meaning.

Developments and Applications of the Differential Calculus: Implicit Functions, Maxima and Minima.

Multiple Integrals: Transformation of Multiple Integrals, Improper Integrals.

Integration over Regions in Several Dimensions: Surface Integrals, Stokes′s Theorem in Space.

Differential Equations: Examples on the Mechanics of a Particle, Linear Differential Equations.

Calculus of Variations: Euler′s Differential Equation in the Simplest Case, Generalizations.

Functions of a Complex Variable: The Integration of Analytic Functions, Cauchy′s Formula and Its Applications.

Appendixes.

Index.
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Richard Courant
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