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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.

  • Discrete Optimization I

    • 1st Edition
    • Volume 4
    • English
  • The Problem of Inductive Logic

    • 1st Edition
    • Volume 51
    • Lev D. Beklemishev
    • English
  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 23
    • Demeter Krupka
    • English
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles
  • A Transfinite Type Theory with Type Variables

    • 1st Edition
    • Volume 37
    • Lev D. Beklemishev
    • English
  • Studies in Logic and the Foundations of Mathematics

    • 1st Edition
    • Volume 42
    • Lev D. Beklemishev
    • English
  • Logic Colloquium '78, Proceedings of the colloquium held in Mons

    • 1st Edition
    • Volume 97
    • Lev D. Beklemishev
    • English
  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 12
    • Lev D. Beklemishev
    • English
  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 20
    • Demeter Krupka
    • English
    This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles
  • Word Problems

    • 1st Edition
    • Volume 71
    • Lev D. Beklemishev
    • English