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INTRODUCTION TO COMPUTATIONAL MATHEMATICS

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INTRODUCTION TOCOMPUTATIONALMATHEMATICSCourse Notes forCM 271 / AM 341 / CS 371H. De SterckP. UllrichDepartment of applied MathematicsUniversity of WaterlooMarch 20th, 2006These notes have been funded by2Contents1 Errors and Error Sources of Error . . . . . . . . . . . . . . . . . . . . . . . . . . . Floating Point Numbers and Operations . . . . . . . . . . . . . . A Binary Computer . . . . . . . . . . . . . . . . . . . . . Standard floating point systems . . . . . . . . . . . . . . . Machine Precision . . . . . . . . . . . . . . . . . . . . . . Floating Point Operations . . . . . . . . . . . . . . . . . . Condition of a Mathematical Problem . . . . . . . . . . . . . . . Stability of a Numerical Algorithm . . . . . . . . . . . . . . . . . 232 Root INTRODUCTION .

INTRODUCTION TO COMPUTATIONAL MATHEMATICS Course Notes for CM 271 / AM 341 / CS 371 H. De Sterck P. Ullrich Department of Applied Mathematics University of Waterloo March 20th, 2006 These notes have been funded by

  Introduction, Mathematics, Applied, Applied mathematics

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