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Specifically designed as an integrated survey of the development of analytic geometry, this classic study takes a unique approach to the history of ideas. The author, a distinguished historian of mathematics, presents a detailed view of not only the concepts themselves, but also the ways in which they extended the work of each generation, from before the Alexandrian Age through the eras of the great French mathematicians Fermat and Descartes, and...
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"Come along on a math adventure to discover how to measure shapes, how to solve equations, and so much more! This fun question and answer book has everything from facts and figures to simple diagrams and hilarious illustrations to help you learn introductory geometry terms and concepts, including radius, diameter, area, volume, and more."--Back cover
"Basic principles of geometry, including measuring two-dimensional and three-dimensional shapes,...
6) Measurement
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For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement...
8) Round
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"Newbery-Honor winning poet Joyce Sidman invites readers to search their worlds for round objects in nature. Illustrated with warm, intimate art by two-time New York Times Best Illustrated artist Taeeun Yoo, this fresh celebration shows why we love this shape best."--
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Meet the masters of abstract art! Students will take a close look at the lines, rays, and angles found in modern art as they read about influential artists like Josef Albers, Wassily Kandinsky, and Sophie Taeuber-Arp. By examining the simple shapes in modern paintings, students will gain confidence in their geometry skills through rich tasks that promote reasoning and critical thinking as they explore mathematics in a meaningful way. This full-color...
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Tiny houses are exactly what they sound like-tiny! But, these little places are seeing a huge rise in popularity. Step inside and see what it takes for a tiny house to shape up, as you learn to compose and decompose shapes. This nonfiction math reader builds literacy skills and math content knowledge, combining informational text, problem-solving, and real-world connections to help students explore math in a meaningful way. The Let's Explore Math...
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Have you ever seen a building that looks like a koala bear, a robot, an elephant, or a pair of pants? This intriguing title teaches readers about skyscrapers that truly stand out! From Beijing to Bangkok, students will learn how to calculate area while reading about the world's most fascinating skyscrapers like the Robot Building and the Elephant Tower. This math reader builds literacy and math content knowledge while introducing students to the concept...
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Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early...
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The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all...
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In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function...
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This book derives from author Nolan R. Wallach's notes for a course on symplectic geometry and Fourier analysis, which he delivered at Rutgers University in 1975 for an audience of graduate students in mathematics and their professors. The monograph is geared toward readers who have taken a basic course in differential manifolds and elementary functional analysis. The first chapters cover certain geometric preliminaries, advancing to discussions of...
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To remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable - or is it? Understanding the world of Einstein and curved space requires a logical conception of the fourth dimension. This readable, informative volume provides an excellent introduction to that world, with 22 essays that employ a minimum of mathematics. Originally written for a contest sponsored by Scientific...
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This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries,...
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