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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 13
    • Lev D. Beklemishev
    • English

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 11
    • Lev D. Beklemishev
    • English

  • Intuitionism An Introduction

    • 1st Edition
    • Volume 41
    • Lev D. Beklemishev
    • English

  • Introduction to Global Variational Geometry

    • 1st Edition
    • Volume 19
    • 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

  • Provability, Computability and Reflection

    • 1st Edition
    • Volume 20
    • Lev D. Beklemishev
    • English
    Studies in Logic publishes monographs and occasionally edited volumes in the area of mathematical logic and its applications.

  • New Generalized Functions and Multiplication of Distributions

    • 1st Edition
    • Volume 84
    • J.F. Colombeau
    • English
    This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.

  • Nonlinear Partial Differential Equations in Applied Science

    • 1st Edition
    • Volume 81
    • H. Fujita + 2 more
    • English

  • Recent Topics in Nonlinear PDE IV

    • 1st Edition
    • Volume 160
    • M. Mimura + 1 more
    • English
    This fourth volume concerns the theory and applications of nonlinear PDEs in mathematical physics, reaction-diffusion theory, biomathematics, and in other applied sciences. Twelve papers present recent work in analysis, computational analysis of nonlinear PDEs and their applications.

  • Topics in Functional Analysis over Valued Division Rings

    • 1st Edition
    • Volume 77
    • J.B. Prolla
    • English

  • Computational Techniques for Differential Equations

    • 1st Edition
    • Volume 83
    • J. Noye
    • English

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