• Jerrold Marsden
  • Alan Weinstein
Part of the Undergraduate Texts in Mathematics book series (UTM)


Calculus has earned a reputation for being an essential tool in the sciences. Our aim in this introduction is to give the reader an idea of what calculus is all about and why it is useful.


Step Function Seventeenth Century Tangent Line Differential Calculus Integral Calculus 
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  1. 1.
    See S. H. Gould, The method of Archimedes, American Mathematical Monthly 62 (1955) 473–476.MathSciNetzbMATHCrossRefGoogle Scholar
  2. 3.
    A calculus textbook based upon this work is H. J. Keisler, Elementary Calculus, Prindle, Weber, and Schmidt, Boston (1976).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Jerrold Marsden
    • 1
  • Alan Weinstein
    • 2
  1. 1.California Institute of TechnologyControl and Dynamical Systems 107-81PasadenaUSA
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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