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Topology, Geometry, and Gauge Fields

Foundations

  • Gregory L. Naber

Part of the Texts in Applied Mathematics book series (TAM, volume 25)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Gregory L. Naber
    Pages 1-26
  3. Gregory L. Naber
    Pages 27-100
  4. Gregory L. Naber
    Pages 101-164
  5. Gregory L. Naber
    Pages 165-184
  6. Gregory L. Naber
    Pages 185-290
  7. Gregory L. Naber
    Pages 291-365
  8. Back Matter
    Pages 367-396

About this book

Introduction

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development ofnewcourses is a natural consequence of a high levelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface In Egypt, geometry was created to measure the land. Similar motivations, on a somewhat larger scale, led Gauss to the intrinsic differential geometry of surfaces in space. Newton created the calculus to study the motion of physical objects (apples, planets, etc.) and Poincare was similarly impelled toward his deep and far-reaching topological view of dynamical systems.

Keywords

electromagnetic field fields gauge theory geometry mechanics physics quantum mechanics topology

Authors and affiliations

  • Gregory L. Naber
    • 1
  1. 1.Department of Mathematics and StatisticsCalifornia State University, ChicoChicoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2742-5
  • Copyright Information Springer-Verlag New York 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-2744-9
  • Online ISBN 978-1-4757-2742-5
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site