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Extending Frontiers of Mathematics

Extending Frontiers of Mathematics - 06 edition

ISBN13: 978-0470412220

Cover of Extending Frontiers of Mathematics 06 (ISBN 978-0470412220)
ISBN13: 978-0470412220
ISBN10: 0470412224
Cover type: Paperback
Edition/Copyright: 06
Publisher: Key College Publishing
Published: 2006
International: No
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Extending Frontiers of Mathematics - 06 edition

ISBN13: 978-0470412220

Edward B. Burger

ISBN13: 978-0470412220
ISBN10: 0470412224
Cover type: Paperback
Edition/Copyright: 06
Publisher: Key College Publishing

Published: 2006
International: No
Summary

In the real world of research mathematics, mathematicians do not know in advance if their assertions are true or false. Extending the Frontiers of Mathematics: Inquiries into proof and argumentation requires students to develop a mature process that will serve them throughout their professional careers, either inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploring proofs and other advanced mathematical ideas through these features: - Puzzles and patterns introduce the pedagogy. These precursors to proofs generate creativity and imagination that the author builds on later - Prove and extend or disprove and salvage, a consistent format of the text, provides a framework for approaching problems and creating mathematical proofs - Mathematical challenges are presented which build upon each other, motivate analytical skills, and foster interesting discussion

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