Presenting the various approaches to the study of integration, well-known mathematics professor Angus E. Taylor brings together in one volume "a blend of the particular and the general, of the concrete and the abstract" — an invaluable study aid for beginning graduate students. 38 diagrams. Introduction. List of Special Symbols. Index.
Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque interval, Hilbert Space, more. Exercises. 1957 edition.
Functional Analysis by Frigyes Riesz, Béla Sz.-Nagy Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.
Methods of Numerical Integration: Second Edition by Philip J. Davis, Philip Rabinowitz Requiring only a background in calculus, this text covers approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. 1984 edition.
Geometric Integration Theory by Hassler Whitney Geared toward upper-level undergraduates and graduate students, 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. 1957 edition.
Orthogonal Functions by G. Sansone Covers expansion in a series of orthogonal functions and preliminary notions of Hilbert space; expansion in Fourier series and in series of Legendre polynomials and spherical harmonics; expansions in Laguerre and Hermite series.
Algebras of Holomorphic Functions and Control Theory by Amol Sasane Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.
