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Order-Preserving Maps and Integration Processes
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Edward J. McShane
Language:
English
Published/Copyright:
2016
About this book
A classic treatment of order-preserving maps and integration processes from the acclaimed Annals of Mathematics Studies series
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
Topics
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Frontmatter
i -
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CONTENTS
v -
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INTRODUCTION
1 -
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CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS
7 -
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CHAPTER II. DEFINITION OF THE MAPPING
36 -
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CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY
48 -
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CHAPTER IV. ALGEBRAIC OPERATIONS
69 -
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CHAPTER V. REAL-VALUED FUNCTIONS
81 -
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CHAPTER VI. APPLICATIONS
95 -
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BIBLIOGRAPHY
135 -
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Backmatter
138
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 20, 2016
eBook ISBN:
9781400882304
Pages and Images/Illustrations in book
eBook ISBN:
9781400882304
Keywords for this book
Partially ordered set; Infimum and supremum; Upper and lower bounds; Subset; Theorem; Self-adjoint operator; Continuous function (set theory); Lebesgue integration; Fubini's theorem; L-function; Monotonic function; Hilbert space; Directed set; Cartesian product; Polynomial; Lattice (order); Existential quantification; Elementary function; Equation; Projection (linear algebra); Equivalence class; Axiom; Closure (mathematics); Characteristic function (probability theory); Special case; Summation; Countable set; Coset; I0; Riemann–Stieltjes integral; Order of operations; Linear map; Measure (mathematics); Domain of a function; Set (mathematics); Pointwise convergence; Limit superior and limit inferior; Real number; Quadratic function; Partially ordered group; Borel set; Set function; Baire function; Bounded function; Continuous function; Requirement; Pointwise; Unification (computer science); Parity (mathematics); Riemann integral; Banach space; Limit (mathematics); Commutative algebra; Scalar multiplication; Coefficient; Combination; Big O notation; Complete lattice; Corollary; Abelian group; Estimation; Binary relation; Scientific notation; Compact space; Natural number; Binary operation; Circumference; Subtraction; Integer; Contradiction
Audience(s) for this book
For an expert adult audience, including professional development and academic research
