Differential and Integral Calculus, Volume 2ISBN: 978-0-471-60840-0
Paperback
694 pages
February 1988
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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.
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.
