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A First Course in the Mathematical Foundations of Thermodynamics

  • David R. Owen

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. David R. Owen
    Pages 1-27
  3. David R. Owen
    Pages 28-34
  4. David R. Owen
    Pages 35-41
  5. David R. Owen
    Pages 42-66
  6. David R. Owen
    Pages 109-120
  7. David R. Owen
    Pages 121-124
  8. Back Matter
    Pages 125-135

About this book

Introduction

Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations of the First and Second Laws that permit both a rigorous analysis of the consequences of these laws and a substantial broadening of the class of systems to which the laws can fruitfully be applied. Moreover, modem formulations of the laws of thermodynamics have now achieved logically parallel forms at a level accessible to under­ graduate students in science and engineering who have completed the standard calculus sequence and who wish to understand the role which mathematics can play in scientific inquiry. My goal in writing this book is to make some of the modem develop­ ments in thermodyamics available to readers with the background and orientation just mentioned and to present this material in the form of a text suitable for a one-semester junior-level course. Most of this presentation is taken from notes that I assembled while teaching such a course on two occasions. I found that, aside from a brief review of line integrals and exact differentials in two dimensions and a short discussion of infima and suprema of sets of real numbers, juniors (and even some mature sophomores) had sufficient mathematical background to handle the subject matter. Many of the students whom I taught had very limited experience with formal and rigorous mathematical exposition.

Keywords

Mathematica Thermodynamik conservation development dynamical systems dynamics energy entropy heat mathematics phase preservation quality temperature thermodynamics

Authors and affiliations

  • David R. Owen
    • 1
  1. 1.Department of MathematicsCarnegie-Mellon UniversityPittsburghUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9505-8
  • Copyright Information Springer-Verlag New York 1984
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9507-2
  • Online ISBN 978-1-4613-9505-8
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site