Literature suggestions about numerical errors on calculators

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An excerpt from Computer Arithmetic and Validity Theory, Implementation, and Applications 2e, De Gruyter, © 2013, e-ISBN 978-3-11-030179-3

Introduction (pg. 3)
  "The task of numerical analysis is to develop and design algorithms which use floating-point numbers to deliver a reasonably good approximation to the exact result. An essential part of this task is to quantify the error of the computed answer. Managing this quite natural error is the crucial challenge of numerical or scientific computing. In this respect, numerical analysis is completely irrelevant to everyday applications of computers like those mentioned in the opening paragraph of the Preface. For solving problems of this kind, integer arithmetic, which is exact, is used, or should be, whenever arithmetic is needed."

Emphasis mine.

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/əˈriTHməˌtik/
the branch of mathematics dealing with the properties and manipulation of numbers.