Calculus / Michael Spivak.

  • Third edition.
  • Cambridge : Cambridge University Press 2016
Physical description
xii, 670 pages : illustrations ; 26 cm.
  • 9780521867443
  • 0521867444
  • This edition originally published: Houston, Texas : Publish or Perish, 1994.
  • Includes bibliographical references and index.
  • Specialized.
  • Preface.
  • Index.
  • Prologue.
  • Basic properties of mumbers.
  • Numbers of various sorts.
  • Foundations.
  • Functions.
  • Graphs.
  • Limits.
  • Continuous functions.
  • Three hard theorems.
  • Least upper bounds.
  • Derivatives and Integrals.
  • Derivatives.
  • The logarithm and exponential functions.
  • Integration in elementary terms.
  • Differentiation.
  • Significance of the derivative.
  • Inverse functions.
  • Integrals.
  • The fundamental theorem of calculus.
  • The trigonometric functions.
  • Pi is irrational.
  • Planetary motion.
  • Infinite Sequences and Infinite Series.
  • Approximation by polynomial functions.
  • e is transcendental.
  • Infinite sequences.
  • Infinite series.
  • Uniform convergence and power series.
  • Complex numbers.
  • Complex functions.
  • Complex power series.
  • Epilogue.
  • Fields.
  • Construction of the real numbers.
  • Uniqueness of the real numbers.
  • Suggested reading.
  • Answers (to selected problems)
  • Glossary of symbols.
  • Bibliography
  • Illustrated
  • still image
  • text
  • English


  • Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics.

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Location of copy Shelfmark Online location Holdings Notes
Birkbeck, University of London Library: Contact the Library 515 SPI
University of Birmingham Libraries: Main Library, Collection QA303
University of Birmingham Libraries: Main Library, Collection QA303.2 .S759
University of Bradford: J B Priestley Library - Floor 2 515 SPI
British Library: General Reference Collection, St Pancras Reading Rooms YK.2007.b.3630
British Library: Lending Collection m06/.27019
University of Edinburgh Libraries: Main Library (STANDARD LOAN) - 3rd floor QA303 Spi.
University of Essex: Request from store -- Store 2 QA 303.S7
King's College London Library: Maughan Library ; [Science books] QA303 SPI Four week
King's College London Library: Maughan Library ; [Science Short-loan] QA303 SPI
University of Leeds Library: Edward Boyle Library, level 11 Mathematics F-0 SPI
University of Leeds Library: Laidlaw Library, level 2 Mathematics F-0 SPI
University of Liverpool Library: Harold Cohen Library, Ground Floor Rear (Book Zone 3) QA303.2.S76.3 1
National Library of Scotland: General Reading Room, Edinburgh (stored offsite) HB5.206.9.136
Newman University: Newman 515 SPI Seven day loan
Queen's University Belfast: McClay Floor 3 QA303
University of St Andrews Library: J F Allen Library QA303.S7G06
University of Strathclyde Library: Short Loan 1 Day Loan MLSL1 D 515 SPI
University of Strathclyde Library: Standard Loan MLD D 515 SPI
University of Sunderland: St Peter's Library 515 S63 28 Day Loan
University of Surrey: Main Collection 515 SPI