Alberto A. Martinez author

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A student in class asks the math teacher: Shouldn't minus times minus make minus? Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few ...
Negative Math: How Mathematical Rules Can Be Positively Bent
A student in class asks the math teacher: Shouldn't minus times minus make minus? Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and impossible numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features: * Uses history, puzzles, and lively debates to devise new mathematical systems * Shows how departures from rules can underlie new practical applications * Clear and accessible * Requires a background only in basic high school algebra
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23.050000 USD

Negative Math: How Mathematical Rules Can Be Positively Bent

by Alberto A. Martinez
Paperback
Book cover image
Was Darwin really inspired by Gal pagos finches? Did Einstein's wife secretly contribute to his theories? Did Franklin fly a kite in a thunderstorm? Did a falling apple lead Newton to universal gravity? Did Galileo drop objects from the Leaning Tower of Pisa? Did Einstein really believe in God? Science ...
Science Secrets: The Truth about Darwin's Finches, Einstein's Wife and Other Myths
Was Darwin really inspired by Gal pagos finches? Did Einstein's wife secretly contribute to his theories? Did Franklin fly a kite in a thunderstorm? Did a falling apple lead Newton to universal gravity? Did Galileo drop objects from the Leaning Tower of Pisa? Did Einstein really believe in God? Science Secrets answers these questions and many others. It is a unique study of how myths evolve in the history of science. Some tales are partly true, others are mostly false, yet all illuminate the tension between the need to fairly describe the past and the natural desire to fill in the blanks. Energetically narrated, Science Secrets pits famous myths against extensive research from primary sources in order to accurately portray important episodes in the sciences. Alberto A. Mart nez analyzes how such myths grow and rescues neglected facts that are more captivating than famous fictions. Moreover, he shows why opinions that were once secret and seemingly impossible are now scientifically compelling. The book includes new findings related to the Copernican revolution, alchemy, Pythagoras, young Einstein, and other events and figures in the history of science.
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31.500000 USD

Science Secrets: The Truth about Darwin's Finches, Einstein's Wife and Other Myths

by Alberto A. Martinez
Paperback / softback
Book cover image
A student in class asks the math teacher: Shouldn't minus times minus make minus? Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few ...
Negative Math: How Mathematical Rules Can Be Positively Bent
A student in class asks the math teacher: Shouldn't minus times minus make minus? Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and impossible numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features: * Uses history, puzzles, and lively debates to devise new mathematical systems * Shows how departures from rules can underlie new practical applications * Clear and accessible * Requires a background only in basic high school algebra
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29.74 USD
Hardback
Book cover image
The field of kinematics-the science of motion-has long been neglected and misrepresented. Despite rich traditions rooted in ancient times, modern physical kinematics never became a professional discipline. No journals or academic societies were founded to support its development and study and most physicists took the science of motion for granted. ...
Kinematics: The Lost Origins of Einstein's Relativity
The field of kinematics-the science of motion-has long been neglected and misrepresented. Despite rich traditions rooted in ancient times, modern physical kinematics never became a professional discipline. No journals or academic societies were founded to support its development and study and most physicists took the science of motion for granted. Yet some came to doubt its very principles, even denouncing its basic language-coordinate algebra-as an impediment to scientific progress. In this unique and comprehensive history of kinematics, Alberto A. Martinez rescues the forgotten roots of this field that led to Einstein's theory of special relativity. Using clear explanations and accessible language, he analyzes the development of kinematics; explains how mathematics, engineering, philosophy, and psychology pulled it in divergent directions; and discusses why modern kinematics inherited old and unresolved ambiguities. All students of physics and general science study basic kinematics. Martinez draws from an unparalleled wealth of sources to demonstrate why it is essential to the study and evolution of physics today.
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41.33 USD
Hardback
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