A textbook for a transition course in mathematics in which students learn to write proofs and to communicate with the level of rigor necessary for success in their upper level mathematics courses. It considers the basic principles of logic, techniques of proof, and fundamental mathematical ideas; and provides many exercises to hone skills on. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis. Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision.
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