Nuts and Bolts of Proofs by Antonella Cupillari

Nuts and Bolts of Proofs

Antonella Cupillari
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Details

  • ISBN
    9780123822178 / 0123822173
  • Title Nuts and Bolts of Proofs
  • Author Antonella Cupillari
  • Category Mathematical Logic
  • Format
    Paperback
  • Year 2012
  • Pages 283
  • Publisher
    Academic Press
  • Imprint Academic Press Inc
  • Edition
    4th
  • Language English
  • Dimensions 193mm x 233mm x 27mm

Annotation

Instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The title provides basic core techniques of how to read and write proofs through examples.

Publisher Description

“The Nuts and Bolts of Proofs” instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.
Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginningOffers a large variety of examples and problems with solutions for students to work through on their ownIncludes a collection of exercises without solutions to help instructors prepare assignmentsContains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics

Review
“It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners into the world of mathematical thinking.for those required to teach 'transition courses', I recommend perusal of this book as a possible course text.”—MAA online, December 3, 2013

Author Biography

Antonella Cupillari is an associate professor of mathematics at Pennsylvania State Erie in Behrend College. She received her Laurea in Mathematics in Italy, and her M.A. and Ph.D. at the State University of New York at Albany. She has been a participant in the Mathematical Association of America/National Science Foundation Institute on the “History of Mathematics and Its Use in Teaching.” Cupillari is the author of several papers in analysis, mathematics education, and the history of mathematics. She is also the author of the first edition of The Nuts and Bolts of Proofs.

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Nuts and Bolts of Proofs

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