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This paperback, which comprises the first part of Introduction to Measure and Probability by J. F. C. Kingman and S. J. Taylor, gives a self-contained treatment of the theory of finite measures in general spaces at the undergraduate level. It sets the material out in a form which not only provides an introduction for intending specialists in measure theory but also meets the needs of students of probability. The theory of measure and integration is presented for general spaces, with Lebesgue measure and the Lebesgue integral considered as important examples whose special properties are obtained. The introduction to functional analysis which follows covers the material to probability theory and also the basic theory of L2-spaces, important in modern physics. A large number of examples is included; these form an essential part of the development.

Measure theory. --- Integrals, Generalized.

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Multiple integrals. --- Algebraic fields. --- Quantum field theory. --- Series.

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Mathematical analysis --- Algebraic geometry --- Curves, Elliptic --- Elliptic functions --- 517.58 --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Transcendental functions --- Functions of complex variables --- Integrals, Hyperelliptic --- Elliptic curves --- Curves, Algebraic --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Curves, Elliptic. --- Elliptic functions. --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Courbes elliptiques --- Fonctions speciales --- Fonctions elliptiques

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Measure theory. Mathematical integration --- 517.5 --- Theory of functions --- Integrals, Generalized. --- Measure theory. --- Vector spaces. --- 517.5 Theory of functions --- Integrals, Generalized --- Measure theory --- Vector spaces --- Mesure et integration --- Mesures vectorielles

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Integrals, Generalized --- Measure theory --- Intégrales généralisées --- Mesure, Théorie de la --- #TCPW W4.0 --- 517.518.1 --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Measure algebras --- Rings (Algebra) --- Calculus, Integral --- Measure. Integration. Differentiation --- Integrals, Generalized. --- Measure theory. --- 517.518.1 Measure. Integration. Differentiation --- Intégrales généralisées --- Mesure, Théorie de la