*PRE-ORDER, APPROX 7-14 BUSINESS DAYS, made-on-demand* Mathematical Proofs 4th edition by Chartrand 9780134746753 [ZZ]

A Transition to Advanced Mathematics. Paperback, Pearson

Students learn to construct proofs of their own that are not only mathematically correct but clearly written.

• Proof Strategies features precede proofs and encourage students to plan what is needed to present a proof of the result in question.

• Proof Analysis features appear after presentations of proofs and discuss key details considered for the creation of the proof.

• Communicating Mathematics (Chapter 0) provides a valuable reference for students as the course progresses. This chapter prepares students to write effective and clear exposition by emphasising the correct usage of mathematical symbols, mathematical expressions, and key mathematical terminology.

• NEW! A Reviewing Proof Techniques chapter (Chapter 7) has been added to summarise all proof techniques presented to that point. This chapter provides many examples to solidify the understanding of these techniques, emphasising both how and when to use the techniques.

• NEW! Presentation slides now accompany every chapter. These presentations provide examples and exposition on key topics. Students and instructors can access the presentations (as PDFs or LaTeX files) via short URLs that appear in the text at the end of each chapter.

• Exercises for each section at the end of a chapter (Section Exercises) and additional exercises for the entire chapter (Chapter Supplemental Exercises).

  • Over 1000 exercises are available.

  • EXPANDED! More than 100 exercises, examples, and results have been added. Many of the new exercises are in the moderately challenging category.

  • Difficulty ranges from routine to medium to challenging

  • True/False exercises present statements and ask students to determine whether they are correct, asking for justification as part of the process.

  • Proposed proofs of statements ask students if an argument is valid.

  • Proofs without a statement ask students to supply a statement of what has been proved.

  • Exercises that call upon students to form conclusions of their own and possibly to provide proofs of these conclusions.