Description

Book Synopsis
In this work, Martin H. Krieger seeks to show what physicists really do behind the nearly impenetrable cloud of mathematical models they use as research tools. He argues that the technical details of these complex calculations also reveal key aspects of the physical properties they model.

Table of Contents
List of Figures Preface 1: Modeling the Constitutions of Matter 2: Analysis: The Stability of Bulk Matter 3: Mathematics: Infinite Volume Limits and Thermodynamics 4: Formalism: Constituting Bulk Matter: Solutions to the Ising Model, and Duality in Those Solutions 5: Analysis: Generic, Formal, Model-Independent Accounts of the Constitution of Matter as Philosophical 6: Formalism: Technical Devices Doing the Work of Physics 7: Physics and Mathematics: Finding the Right Mechanism and Choosing the Right Functions 8: The Physics and the Mathematics Appendix: Two Papers by Lars Onsager A: Electrostatic Interaction of Molecules (1939) B: Crystal Statistics, Part I: A Two-Dimensional Model with an Order-Disorder Transition (1944) Notes References Index

Constitutions of Matter Mathematically Modeling

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A Hardback by Martin H. Krieger

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    View other formats and editions of Constitutions of Matter Mathematically Modeling by Martin H. Krieger

    Publisher: The University of Chicago Press
    Publication Date: 1/1/1997 12:00:00 AM
    ISBN13: 9780226453040, 978-0226453040
    ISBN10: 0226453049

    Description

    Book Synopsis
    In this work, Martin H. Krieger seeks to show what physicists really do behind the nearly impenetrable cloud of mathematical models they use as research tools. He argues that the technical details of these complex calculations also reveal key aspects of the physical properties they model.

    Table of Contents
    List of Figures Preface 1: Modeling the Constitutions of Matter 2: Analysis: The Stability of Bulk Matter 3: Mathematics: Infinite Volume Limits and Thermodynamics 4: Formalism: Constituting Bulk Matter: Solutions to the Ising Model, and Duality in Those Solutions 5: Analysis: Generic, Formal, Model-Independent Accounts of the Constitution of Matter as Philosophical 6: Formalism: Technical Devices Doing the Work of Physics 7: Physics and Mathematics: Finding the Right Mechanism and Choosing the Right Functions 8: The Physics and the Mathematics Appendix: Two Papers by Lars Onsager A: Electrostatic Interaction of Molecules (1939) B: Crystal Statistics, Part I: A Two-Dimensional Model with an Order-Disorder Transition (1944) Notes References Index

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