A brief text which names and describes techniques that are used in all mathematical proofs, "How to Read and Do Proofs" teaches students how and when to use each technique. Useful as a supplement to a maths course, or as a book of general interest to anyone with a background of school maths, the book provides a structure and procedure for students that makes learning easier, and enables them to understand all mathematical proofs, regardless of subject matter, as a sequence of applications of individual proof techniques. The previous edition of this book was published in 1982.
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How to Read and Do Proofs Describes All of the Fundamental Techniques used in mathematical proofs and illustrates each with an example requiring only high school mathematics Simplifies Complex Proofs by showing how a complicated proof can be understood as a sequence of applications of the individual techniques Unravels the Mystery of "Condensed" Proofs that are found in textbooks and journal articles by teaching you to identify which techniques are being used and how they are being applied in the particular proof Gets You Started in the right direction by showing how the form of the problem under consideration can often be used to choose a successful proof technique
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