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Paradoxes: Guiding Forces in Mathematical Exploration
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About Paradoxes: Guiding Forces In Mathematical Exploration
Product Description A Riveting Account of Paradoxes and their Impact on Mathematics Does .999...=1? Can a sphere be reassembled into two identically sized spheres? Is the consistency of mathematical systems unprovable? Surprisingly, the answer to all of these questions is yes! And at the heart of each question, there lies paradox. For millennia, paradoxes have shaped mathematics and guided mathematical progress. From the ancient paradoxes of Zeno to the modern paradoxes of Russell, paradoxes remind us of the constant need to revamp our mathematical understanding. It is for this reason that paradoxes are so important. Paradoxes: Guiding Forces in Mathematical Exploration provides a survey of mathematical paradoxes spanning a wide variety of topics; delving into each paradox mathematically, philosophically, and historically. Readers will gain a full picture of how paradoxes have contributed to and guided the progress of mathematics in many ways. Paradoxes also provides the reader with a robust argument for the inclusion of paradoxes in education. This is all presented in a way that is accessible to anyone with a high school background in mathematics! Entertaining and educational, this book will appeal to any reader looking for a mathematical and philosophical challenge. Review "Hamza Alsamraee's new book on paradoxes is irresistible. As I leaf through its pages with pleasure, so many words come to mind: Friendly. Wide ranging. Funny. Scholarly. Clear. And joyful. You are in for a treat -- and there's nothing paradoxical about that!" --Steven Strogatz, New York Times bestselling author of Infinite Powers "A fascinating and enjoyable book! With clarity and wit, Alsamraee delves into paradoxes that arise in logic, physics, geometry, statistics, and more, but the biggest paradox is how someone so young can write a book that is so good!" --Arthur Benjamin, New York Times bestselling author of The Magic of Math "An engaging and informative account of paradoxes in mathematics and physics -- logical contradictions, puzzles of infinity, strange geometry, and weird statistics. Highly recommended!" --Ian Stewart FRS, Emeritus Professor at Warwick University and popular-science author "Alsamraee brings a teacher's clarity, a pupil's curiosity, and an enthusiast's zeal to this tour of mathematical paradoxes. It's a compelling display of how logic can bend the mind - and, in the process, grow it." --Ben Orlin, author of Math with Bad Drawings and Change is the Only Constant "A fantastic introduction to some of the most surprising curiosities in mathematics." --James Grime, popular mathematics communicator, lecturer at Cambridge University "A very lively and engaging introduction to various mathematical paradoxes and their importance to the discipline. The book manages to combine a high degree of rigor with a high degree of accessibility." --Adrian Moore, Professor of Philosophy at Oxford University, author of The Infinite "Hamza presents and resolves some of the most fascinating paradoxes across all areas of mathematics: from logic and geometry to probability or quantum mechanics. Together with curious stories and clear explanations of advanced mathematical concepts, this makes for a truly fascinating read." --Philipp Legner, founder of the award-winning EdTech platform Mathigon "A fascinating introduction to fundamental concepts in mathematics. Told through story, Alsamraee makes difficult concepts simple and intuitive. " --Jade Tan-Holmes, science communicator, host of the popular YouTube channel UpAndAtom "Astounding! It's hard to believe that Paradoxes, an exceptional exposition of mathematical and philosophical enigmas, is the work of such a young author. Alsamraee renders comprehension of perplexing logic as effortless."--Joseph Mazur, emeritus professor, author of The Clock Mirage "I read many books on paradoxes in mathematics and I must admit that [Paradoxes] is pretty unique...
