This treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. Covers the theory of the Riemann integral; abstract integration theory; some relations between chains and functions; Lipschitz mappings; chains and additive set functions, more. 1957 edition. Republication of the Princeton, New Jersey, 1957 edition.
An Introduction to Lebesgue Integration and Fourier Series by Howard J. Wilcox, David L. Myers Undergraduate-level introduction to Riemann integral, measurable sets, measurable functions, Lebesgue integral, other topics. Numerous examples and exercises.
Tensor Analysis on Manifolds by Richard L. Bishop, Samuel I. Goldberg Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.
General Theory of Functions and Integration by Angus E. Taylor Lucid introduction to abstract theories in analysis. Classical theory of points in Euclidean space, continuous functions, ideas of topology, more. For graduate students. 38 diagrams. Introduction. List of Special Symbols. Index.
Introduction to Global Analysis by Donald W. Kahn This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.
