Real Functions in Several Variables: Volume VI Antiderivatives and Plane Integrals
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740309133
Table of contents: title: Preface; title: Introduction to volume VI, Integration of a function in several variables; title: Antiderivatives of functions in several variables; title: The theory of antiderivatives of functions in several variables; title: Templates for gradient fields and antiderivatives of functions in three variables; title: Examples of gradient fields and antiderivatives; title: Integration in the plane; title: An overview of integration in the plane and in the space; title: Introduction; title: The plane integral in rectangular coordinates; title: Examples of the plane integral in rectangular coordinates; title: The plane integral in polar coordinates; title: Procedure of reduction of the plane integral; polar version; title: Examples of the plane integral in polar coordinates; title: Examples of area in polar coordinates; title: Formulæ; title: Squares etc; title: Powers etc; title: Differentiation; title: Special derivatives; title: Integration; title: Special antiderivatives; title: Trigonometric formulæ; title: Hyperbolic formulæ; title: Complex transformation formulæ; title: Taylor expansions; title: Magnitudes of functions; title: Index