Much Ado About Calculus A Modern Treatment with Applications Prepared for Use with the Computer / by R.L. Wilson.

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century. With the recent development of the digital computer, the range of applications of mathematics, including the calculus, has increased greatly a...

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Bibliographic Details
Main Author: Wilson, R.L (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1979.
Edition:1st ed. 1979.
Series:Undergraduate Texts in Mathematics,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I Prologue
  • II Integration
  • III More About Integrals
  • IV Differentiation
  • V The Interrelation of Intergration and Differentiation
  • VI Techniques of Differentiation and Integration
  • VII Limits and Related Topics
  • VIII Converting Data to Functions
  • IX Infinite Series
  • X Numerical Methods
  • XI Differential Equations
  • XII Epilogue
  • Appendix A Trigonometry
  • Appendix B Analytic Geometry
  • B.1 Introduction
  • B.2 Lines
  • B.3 Circles
  • B.4 The Conic Sections
  • B.5 More Complicated Curves
  • B.6 Polar Coordinates
  • B.7 Some Common Curves in Polar Coordinates
  • B.8 Rotation of Axes
  • Appendix C Tables
  • Table 1a Trigonometric Functions (Radian measure)
  • Table 1b Trigonometric Functions (Degrees)
  • Table 2 Exponentials and Logarithms
  • Table 3 Gamma Functions
  • Appendix D FORTRAN Language
  • D.1 Introduction
  • D.2 Arithmetic Statements
  • D.3 Control Statements
  • D.4 Input/Output Statements
  • D.5 Subscripts
  • D.6 Do Loops
  • D.7 Function Statements
  • D.8 Summary
  • Appendix E BASIC Language
  • E.1 Introduction
  • E.2 Arithmetic Statements
  • E.3 Control Statements
  • E.4 Input/Output Statements
  • E.5 Subscripts
  • E.6 For-Next Loops
  • E.7 Function Statements
  • E.8 Summary
  • Answers to Selected Exercises.