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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Set Theory An Introduction To Independence Proofs

      • 1st Edition
      • Volume 102
      • December 1, 1983
      • K. Kunen
      • English
      • Hardback
        9 7 8 0 4 4 4 8 6 8 3 9 8
      • Paperback
        9 7 8 0 4 4 4 5 6 4 0 2 3
      • eBook
        9 7 8 0 0 8 0 5 7 0 5 8 7
      Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

    • Renormalization

      • 1st Edition
      • Volume 106
      • June 23, 1983
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 2 5 8

    • Algebra

      • 1st Edition
      • Volume 110
      • November 1, 1983
      • English
      • Paperback
        9 7 8 0 1 2 4 1 5 7 2 7 9
      • eBook
        9 7 8 0 0 8 0 8 7 4 2 9 6

    • Unified Integration

      • 1st Edition
      • Volume 107
      • December 1, 1983
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 2 6 5

    • Mathematical Methods of Game and Economic Theory

      • 2nd Edition
      • Volume 7
      • July 1, 1982
      • J.-P. Aubin
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 2 8 6
      This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.

    • Linear Orderings

      • 1st Edition
      • Volume 98
      • June 1, 1982
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 4 1 4 2

Related subjects

Mathematics and applied mathematics

Statistics and probability