Mathematical Thinking And Writing: A Transition To Abstract Mathematics

E-Book Overview

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.

E-Book Content

MATHEMATICAL THINKING AND WRITING This Page Intentionally Left Blank RANDALL B. MADDOX Pepperdine University, Malibu, CA MATHEMATICAL THINKING AND WRITING A Transition to Abstract Mathematics ACADEMIC PRESS A H a r cour t S cience and Technology Com pany Sponsoring Editor Production Editor Marketing Coordinator Cover/Interior Design Cover Image Copyeditor Proofreader Composition Printer Barbara Holland Amy Fleischer Stephanie Stevens Cat and Mouse Rosmi Duaso/Timepix Editor’s Ink Phyllis Coyne et al. Interactive Composition Corporation InterCity Press, Inc. ∞ This book is printed on acid-free paper.  c 2002 by HARCOURT/ACADEMIC PRESS Copyright  All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writin
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