Mathematical Analysis and Proof

by David Stirling (Author)

• Used

  Paperback
  2009

  $9.54

  This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis can be used to tell the accuracy of the approximations to the quantities of interest which arise in analytical limits.

• Used

  Paperback
  1997

  $3.50

  This text addresses a weakness observed among students, namely a lack of familiarity with formal proof. Dr. Stirling begins with the idea of mathematical proof and the need for it, devoting care to develop associated technical and logical skills. This is then brought to bear on the core material of analysis and a presentation that the development reads naturally and in straight-forward progression, not only by giving proofs, but also indicating how they are constructed. This approach offers intellectual challenge and stimulus to readers by emphasizing two important points: the need for familiarity with long mathematical arguments and manipulation; and the importance of the ability to construct proofs in analysis. The author devotes attention, not only to the results, but to the way in which they are deduced. There are examples linking analysis with other mathematical areas in order to eliminate the risk of its detachment from the body corpus of mathematics; and also instances as to why proofs are attempted in a particular way. The text contains over 100 worked examples and more than 200 problem exercises and their solutions and hints.