04368nam 22013695 450 991015475120332120190708092533.01-4008-8230-310.1515/9781400882304(CKB)3710000000620164(MiAaPQ)EBC4738698(DE-B1597)467947(OCoLC)979633760(DE-B1597)9781400882304(EXLCZ)99371000000062016420190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 /Edward J. McShanePrinceton, NJ : Princeton University Press, [2016]©19541 online resource (148 pages)Annals of Mathematics Studies ;2920-691-09582-5 Bibliography.Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS -- CHAPTER II. DEFINITION OF THE MAPPING -- CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY -- CHAPTER IV. ALGEBRAIC OPERATIONS -- CHAPTER V. REAL-VALUED FUNCTIONS -- CHAPTER VI. APPLICATIONS -- BIBLIOGRAPHY -- BackmatterThe description for this book, Order-Preserving Maps and Integration Processes. (AM-31), Volume 31, will be forthcoming.Annals of mathematics studies ;no. 31.Group theoryIntegralsAbelian group.Addition.Axiom.Baire function.Banach space.Big O notation.Binary operation.Binary relation.Borel set.Bounded function.Cartesian product.Characteristic function (probability theory).Circumference.Closure (mathematics).Coefficient.Combination.Commutative algebra.Compact space.Complete lattice.Continuous function (set theory).Continuous function.Contradiction.Corollary.Coset.Countable set.Directed set.Domain of a function.Elementary function.Empty set.Equation.Equivalence class.Estimation.Existential quantification.Finite set.Fubini's theorem.Hilbert space.I0.Infimum and supremum.Integer.L-function.Lattice (order).Lebesgue integration.Limit (mathematics).Limit superior and limit inferior.Linear map.Measure (mathematics).Monotonic function.Natural number.Order of operations.Parity (mathematics).Partially ordered group.Partially ordered set.Pointwise convergence.Pointwise.Polynomial.Projection (linear algebra).Quadratic function.Real number.Requirement.Riemann integral.Riemann–Stieltjes integral.Scalar multiplication.Scientific notation.Self-adjoint operator.Set (mathematics).Set function.Sign (mathematics).Special case.Subset.Subtraction.Summation.Theorem.Unification (computer science).Upper and lower bounds.Group theory.Integrals.512.86McShane Edward J., 1208498DE-B1597DE-B1597BOOK9910154751203321Order-Preserving Maps and Integration Processes. (AM-31), Volume 312787932UNINA