Edward B. Burger
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The 5 Elements of Effective Thinking
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28 editions
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published
2012
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Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas
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9 editions
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published
2005
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The Heart of Mathematics: An invitation to effective thinking
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48 editions
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published
1999
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Algebra 1, Grade 9: Holt Algebra 1
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Geometry
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5 editions
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published
2007
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Zero to Infinity: A History of Numbers
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Holt McDougal Algebra 1
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published
2009
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An Introduction to Number Theory
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published
2010
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Making Transcendence Transparent: An intuitive approach to classical transcendental number theory
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6 editions
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published
2004
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The Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas Parts 1 and 2
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“The simple and familiar hold the secrets of the complex and unknown.”
― The 5 Elements of Effective Thinking
― The 5 Elements of Effective Thinking
“In everything you do, refine your skills and knowledge about fundamental concepts and simple cases. Once is never enough. As you revisit fundamentals, you will find new insights. It may appear that returning to basics is a step backward and requires additional time and effort; however, by building on firm foundations you will soon see your true abilities soar higher and faster.”
― The 5 Elements of Effective Thinking
― The 5 Elements of Effective Thinking
“Fail nine times The next time you face a daunting challenge, think to yourself, “In order for me to resolve this issue, I will have to fail nine times, but on the tenth attempt, I will be successful.” This attitude frees you and allows you to think creatively without fear of failure, because you understand that learning from failure is a forward step toward success. Take a risk and when you fail, no longer think, “Oh, no, what a frustrating waste of time and effort,” but instead extract a new insight from that misstep and correctly think, “Great: one down, nine to go—I’m making forward progress!” And indeed you are. After your first failure, think, “Terrific, I’m 10% done!” Mistakes, loss, and failure are all flashing lights clearly pointing the way to deeper understanding and creative solutions.”
― The 5 Elements of Effective Thinking
― The 5 Elements of Effective Thinking
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