Mathematical Concepts in Organic Chemistry

  • Ivan Gutman
  • Oskar E. Polansky

Table of contents

  1. Front Matter
    Pages I-X
  2. Introduction

    1. Ivan Gutman, Oskar E. Polansky
      Pages 1-2
  3. Chemistry and Topology

    1. Front Matter
      Pages 3-3
    2. Ivan Gutman, Oskar E. Polansky
      Pages 5-11
    3. Ivan Gutman, Oskar E. Polansky
      Pages 12-16
  4. Chemistry and Graph Theory

    1. Front Matter
      Pages 17-17
    2. Ivan Gutman, Oskar E. Polansky
      Pages 19-22
    3. Ivan Gutman, Oskar E. Polansky
      Pages 23-41
    4. Ivan Gutman, Oskar E. Polansky
      Pages 42-45
    5. Ivan Gutman, Oskar E. Polansky
      Pages 46-66
  5. Chemistry and Group Theory

    1. Front Matter
      Pages 67-67
    2. Ivan Gutman, Oskar E. Polansky
      Pages 69-84
    3. Ivan Gutman, Oskar E. Polansky
      Pages 85-107
    4. Ivan Gutman, Oskar E. Polansky
      Pages 108-116
    5. Ivan Gutman, Oskar E. Polansky
      Pages 117-120
  6. Special Topics

    1. Front Matter
      Pages 121-121
    2. Ivan Gutman, Oskar E. Polansky
      Pages 123-134
    3. Ivan Gutman, Oskar E. Polansky
      Pages 135-154
    4. Ivan Gutman, Oskar E. Polansky
      Pages 155-168
  7. Back Matter
    Pages 169-214

About this book

Introduction

The present book is an attempt to outline some, certainly not all, mathematical aspects of modern organic chemistry. We have focused our attention on topological, graph-theoretical and group-theoretical features of organic chemistry, Parts A, B and C. The book is directed to all those chemists who use, or who intend to use mathe­ matics in their work, and especially to graduate students. The level of our exposition is adjusted to the mathematical background of graduate students of chemistry and only some knowledge of elementary algebra and calculus is required from the readers of the book. Some less well-known. but still elementary mathematical facts are collected in Appendices 1-4. This, however, does not mean that the mathematical rigor and numerous tedious, but necessary technical details have been avoided. The authors' intention was to show the reader not only how the results of mathematical chemistry look, but also how they can be obtained. In accordance with this, Part 0 of the book contains a few selected advanced topics which should give the reader the flavour of the contemporary research in mathe­ matical organic chemistry. One of the authors (I.G.) was an Alexander von Humboldt fellow in 1985 when the main part of the book was written. He gratefully acknowledges the financial support of the Alexander von Humboldt Foundation which enabled his stay at the Max-Planck-Institut fUr Strahlenchemie in M iilheim and the writing of this book.

Keywords

algebra chemistry knowledge mutation organic chemistry stability

Authors and affiliations

  • Ivan Gutman
    • 1
  • Oskar E. Polansky
    • 2
  1. 1.Faculty of ScienceKragujevacSerbia
  2. 2.Max-Planck-Institut für StrahlenchemieMülheim a. d. RuhrGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-70982-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-70984-5
  • Online ISBN 978-3-642-70982-1
  • About this book