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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.

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 11
    • Lev D. Beklemishev
    • English
  • The Foundations of Intuitionistic Mathematics

    • 1st Edition
    • Volume 39
    • Lev D. Beklemishev
    • English
  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 14
    • Lev D. Beklemishev
    • English
  • The Problem of Inductive Logic

    • 1st Edition
    • Volume 51
    • Lev D. Beklemishev
    • English
  • Foundational Studies

    • 1st Edition
    • Volume 93B
    • Lev D. Beklemishev
    • English
  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 18
    • 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
  • Continuation of the Notas de Matemàtica

    • 1st Edition
    • Volume 177
    • 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
  • Minimal Surfaces of Codimension One

    • 1st Edition
    • Volume 91
    • U. Massari + 1 more
    • English
    This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.
  • Mathematical and Conceptual Foundations of 20th-Century Physics

    • 1st Edition
    • Volume 100
    • G.G. Emch
    • English
    This book is primarily intended for Mathematicians, but students in the physical sciences will find here information not usually available in physics texts.The main aim of this book is to provide a unified mathematical account of the conceptual foundations of 20th-Century Physics, in a form suitable for a one-year survey course in Mathematics or Mathematical Physics. Emphasis is laid on the interlocked historical development of mathematical and physical ideas.
  • Formal Systems and Recursive Functions

    • 1st Edition
    • Volume 40
    • Lev D. Beklemishev
    • English