Description

Book Synopsis
This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Table of Contents
Early Fixed Point Theorems; Fixed Point Theorems in Analysis; The Lefschetz Fixed Point Theorem; Fixed Point Theorems in Geometry; Fixed Points of Volume Preserving Maps; Borel's Fixed Point Theorem in Algebraic Groups; Miscellaneous Fixed Point Theorems; A Fixed Point Theorem in Set Theory.

Fixed Point Theorems And Their Applications

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A Hardback by Ioannis Farmakis, Martin Moskowitz

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    View other formats and editions of Fixed Point Theorems And Their Applications by Ioannis Farmakis

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 18/09/2013
    ISBN13: 9789814458917, 978-9814458917
    ISBN10: 9814458910
    Also in:
    Functional analysis and transforms

    Description

    Book Synopsis
    This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

    Table of Contents
    Early Fixed Point Theorems; Fixed Point Theorems in Analysis; The Lefschetz Fixed Point Theorem; Fixed Point Theorems in Geometry; Fixed Points of Volume Preserving Maps; Borel's Fixed Point Theorem in Algebraic Groups; Miscellaneous Fixed Point Theorems; A Fixed Point Theorem in Set Theory.

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