Download How to Bake Pi : An Edible Exploration of the Mathematics of Mathematics by Eugenia Cheng in DJV, EPUB
9780465051717 English 0465051715 What is math? And how exactly does it work? In "How to Bake Pi," math professor Eugenia Cheng provides an accessible introduction to the logic of mathematics--sprinkled throughout with recipes for everything from crispy duck to cornbread--that illustrates to the general reader the beauty of math. Rather than dwell on the math of our high school classes, with formulas to memorize and confusing symbols to decipher, Cheng takes us into a world of abstract mathematics, showing us how math can be so much more than we ever thought possible. Cheng is an expert on category theory, a cutting-edge subject that is all about figuring out how math works, a kind of mathematics of mathematics. In "How to Bake Pi," Cheng starts with the basic question "What is math?" to explain concepts like abstraction, generalization, and idealization. By going back to the logical foundation of the math we all know (and may or may not love), she shows that math is actually designed to make difficult things easier. From there, she introduces us to category theory, explaining how it works to organize and simplify the whole discipline of mathematics, bridging the gaps between different mathematical concepts and shedding light on some of math's most puzzling mysteries. Though the ideas are far from simple, Cheng outlines everything in crystal-clear terms, drawing on a wide range of analogies and examples to show that doing math uses the same skills we rely on when we read a map, cook a new dish, or complete a jigsaw puzzle. The result is a book that combines some of the most satisfying features of popular math books--the thrill of truly understanding things that may or may not have been confounding in high school--while still looking long and hard into unexplored territory. Through lively writing and easy-to-follow explanations, "How to Bake Pi" will take even the most hardened math-phobe on a journey to the cutting edge of mathematical research., What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the béchamel in a lasagna can be a lot like the number 5, and why making a good custard proves that math is easy but life is hard. Of course, it's not all cooking; we'll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato's identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng's work on category theory-a cutting-edge "mathematics of mathematics." Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.
9780465051717 English 0465051715 What is math? And how exactly does it work? In "How to Bake Pi," math professor Eugenia Cheng provides an accessible introduction to the logic of mathematics--sprinkled throughout with recipes for everything from crispy duck to cornbread--that illustrates to the general reader the beauty of math. Rather than dwell on the math of our high school classes, with formulas to memorize and confusing symbols to decipher, Cheng takes us into a world of abstract mathematics, showing us how math can be so much more than we ever thought possible. Cheng is an expert on category theory, a cutting-edge subject that is all about figuring out how math works, a kind of mathematics of mathematics. In "How to Bake Pi," Cheng starts with the basic question "What is math?" to explain concepts like abstraction, generalization, and idealization. By going back to the logical foundation of the math we all know (and may or may not love), she shows that math is actually designed to make difficult things easier. From there, she introduces us to category theory, explaining how it works to organize and simplify the whole discipline of mathematics, bridging the gaps between different mathematical concepts and shedding light on some of math's most puzzling mysteries. Though the ideas are far from simple, Cheng outlines everything in crystal-clear terms, drawing on a wide range of analogies and examples to show that doing math uses the same skills we rely on when we read a map, cook a new dish, or complete a jigsaw puzzle. The result is a book that combines some of the most satisfying features of popular math books--the thrill of truly understanding things that may or may not have been confounding in high school--while still looking long and hard into unexplored territory. Through lively writing and easy-to-follow explanations, "How to Bake Pi" will take even the most hardened math-phobe on a journey to the cutting edge of mathematical research., What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the béchamel in a lasagna can be a lot like the number 5, and why making a good custard proves that math is easy but life is hard. Of course, it's not all cooking; we'll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato's identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng's work on category theory-a cutting-edge "mathematics of mathematics." Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.