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The Changing Shape Of Geometry
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Author :Mathematical Association of America Publisher :Cambridge University Press ISBN 13 :9780521531627 Total Pages :572 pages Book Rating :4.5/5 (316 download)
Book Synopsis The Changing Shape of Geometry by : Mathematical Association of America
Download or read book The Changing Shape of Geometry written by Mathematical Association of America and published by Cambridge University Press. This book was released on 2003-01-09 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of popular articles on geometry from distinguished mathematicians and educationalists.
Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Book Synopsis The Greedy Triangle by : Marilyn Burns
Download or read book The Greedy Triangle written by Marilyn Burns and published by Scholastic Inc.. This book was released on 1994 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this introduction to polygons, a triangle convinces a shapeshifter to make him a quadrilateral and later a pentagon, but discovers that where angles and sides are concerned, more isn't always better.
Download or read book Changes, Changes written by Pat Hutchins and published by Simon and Schuster. This book was released on 2012-03-20 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A charming, wordless picture book that the very youngest can “read” all by themselves. The little wooden couple are happy in their building-block house—until it catches fire. The solution? They transform the house into a fire engine! But then there’s so much water that they have to build a boat… Follow these inventive dolls as they use their imagination to adapt to each situation they encounter.
Book Synopsis Which One Doesn't Belong? by : Christopher Danielson
Download or read book Which One Doesn't Belong? written by Christopher Danielson and published by Charlesbridge Publishing. This book was released on 2019-02-12 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Talking math with your child is simple and even entertaining with this better approach to shapes! Written by a celebrated math educator, this innovative inquiry encourages critical thinking and sparks memorable mathematical conversations. Children and their parents answer the same question about each set of four shapes: "Which one doesn't belong?" There's no one right answer--the important thing is to have a reason why. Kids might describe the shapes as squished, smooshed, dented, or even goofy. But when they justify their thinking, they're talking math! Winner of the Mathical Book Prize for books that inspire children to see math all around them. "This is one shape book that will both challenge readers' thinking and encourage them to think outside the box."--Kirkus Reviews, STARRED review
Book Synopsis Spectral Geometry of Shapes by : Jing Hua
Download or read book Spectral Geometry of Shapes written by Jing Hua and published by Academic Press. This book was released on 2019-10-26 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource.
Book Synopsis The Geometry of Wealth by : Brian Portnoy
Download or read book The Geometry of Wealth written by Brian Portnoy and published by Jaico Publishing House. This book was released on 2023-04-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: HOW DOES MONEY HELP IN CREATING A HAPPY LIFE? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer based on the idea that wealth, truly defined, is funded contentment. It is the ability to underwrite a meaningful life. This stands in stark contrast to angling to become rich, which is usually an unsatisfying treadmill. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • Why is being market savvy among the least important aspects of creating wealth but self-awareness among the most? • Can we strike a balance between pushing for more and being content with enough? This journey memorably contours along three basic shapes: A circle, triangle, and square help us visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many—including those who despair it is out of reach—but only in the context of a life in which purpose and practice are thoughtfully calibrated.
Download or read book Shape written by Jordan Ellenberg and published by Penguin Books Limited. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. Geometry doesn't just measure the world--it explains it. Shape shows us how"--
Book Synopsis Geometry of Grief by : Michael Frame
Download or read book Geometry of Grief written by Michael Frame and published by University of Chicago Press. This book was released on 2021-09-08 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry -- Grief -- Beauty -- Story -- Fractal -- Beyond -- Appendix: More Math.
Book Synopsis A Pythagorean Introduction to Number Theory by : Ramin Takloo-Bighash
Download or read book A Pythagorean Introduction to Number Theory written by Ramin Takloo-Bighash and published by Springer. This book was released on 2018-11-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.
Book Synopsis Number, Shape, & Symmetry by : Diane L. Herrmann
Download or read book Number, Shape, & Symmetry written by Diane L. Herrmann and published by CRC Press. This book was released on 2012-10-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Book Synopsis The Shape of Inner Space by : Shing-Tung Yau
Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Book Synopsis Teaching and Learning Geometry by : Doug French
Download or read book Teaching and Learning Geometry written by Doug French and published by A&C Black. This book was released on 2004-01-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating title reviews the teaching and learning of school geometry from the perspective of both the new teacher and the more experienced teacher. It is designed to extend and deepen subject knowledge and to offer practical advice and ideas for the classroom in the context of current practice and research. Particular emphasis is given to the following elements: Understanding the key ideas of the geometry curriculum. Learning geometry effectively: lessons from research and current practice. Misconceptions and errors. Geometry reasoning: problem solving and proving. The role of technology in learning geometry.
Author :Alexander M. Bronstein Publisher :Springer Science & Business Media ISBN 13 :0387733019 Total Pages :346 pages Book Rating :4.3/5 (877 download)
Book Synopsis Numerical Geometry of Non-Rigid Shapes by : Alexander M. Bronstein
Download or read book Numerical Geometry of Non-Rigid Shapes written by Alexander M. Bronstein and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention several - are applied to find solutions. This book gives an overview of the current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. The presentation unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow at the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text. This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It may be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.
Book Synopsis An Essay On The Foundations of Geometry by : Bertrand Russell
Download or read book An Essay On The Foundations of Geometry written by Bertrand Russell and published by Prabhat Prakashan. This book was released on 2023-10-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essay on the Foundations of Geometry by Bertrand Russell: Dive into the world of mathematical philosophy with Bertrand Russell's "An Essay on the Foundations of Geometry." In this thought-provoking work, Russell explores the philosophical underpinnings of geometry, challenging conventional notions and stimulating intellectual inquiry. Key Aspects of the Book "An Essay on the Foundations of Geometry": Philosophy of Mathematics: Bertrand Russell delves into the philosophical questions surrounding the nature of geometry, axioms, and mathematical truth. Educational Inquiry: The book invites readers to engage in critical thinking about the foundations of geometry and the implications for mathematical education. Intellectual Exploration: "An Essay on the Foundations of Geometry" encourages intellectual curiosity and a deeper understanding of the relationship between mathematics and philosophy. Bertrand Russell was a renowned philosopher, logician, and social critic known for his contributions to various fields of philosophy and mathematics. This essay reflects his dedication to the pursuit of knowledge and the exploration of fundamental questions.
Book Synopsis Ceramic Materials and Components for Engines by : Jürgen G. Heinrich
Download or read book Ceramic Materials and Components for Engines written by Jürgen G. Heinrich and published by John Wiley & Sons. This book was released on 2008-11-21 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several ceramic parts have already proven their suitability for serial application in automobile engines in very impressive ways, especially in Japan, the USA and in Germany. However, there is still a lack of economical quality assurance concepts. Recently, a new generation of ceramic components, for the use in energy, transportation and environment systems, has been developed. The efforts are more and more system oriented in this field. The only possibility to manage this complex issue in the future will be interdisciplinary cooperation. Chemists, physicists, material scientists, process engineers, mechanical engineers and engine manufacturers will have to cooperate in a more intensive way than ever before. The R&D activities are still concentrating on gas turbines and reciprocating engines, but also on brakes, bearings, fuel cells, batteries, filters, membranes, sensors and actuators as well as on shaping and cutting tools for low expense machining of ceramic components. This book summarizes the scientific papers of the 7th International Symposium "Ceramic Materials and Components for Engines". Some of the most fascinating new applications of ceramic meterials in energy, transportation and environment systems are presented. The proceedings shall lead to new ideas for interdisciplinary activities in the future.
Book Synopsis Data Analytics and Applications of the Wearable Sensors in Healthcare by : Shabbir Syed-Abdul
Download or read book Data Analytics and Applications of the Wearable Sensors in Healthcare written by Shabbir Syed-Abdul and published by MDPI. This book was released on 2020-06-17 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of comprehensive research articles on data analytics and applications of wearable devices in healthcare. This Special Issue presents 28 research studies from 137 authors representing 37 institutions from 19 countries. To facilitate the understanding of the research articles, we have organized the book to show various aspects covered in this field, such as eHealth, technology-integrated research, prediction models, rehabilitation studies, prototype systems, community health studies, ergonomics design systems, technology acceptance model evaluation studies, telemonitoring systems, warning systems, application of sensors in sports studies, clinical systems, feasibility studies, geographical location based systems, tracking systems, observational studies, risk assessment studies, human activity recognition systems, impact measurement systems, and a systematic review. We would like to take this opportunity to invite high quality research articles for our next Special Issue entitled “Digital Health and Smart Sensors for Better Management of Cancer and Chronic Diseases” as a part of Sensors journal.