All About Geometry

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Everything You Need To Ace Geometry In One Big Fat Notebook

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Author : Workman Publishing
language : en
Publisher: Workman Publishing Company
Release Date : 2020-09-29

Everything You Need To Ace Geometry In One Big Fat Notebook written by Workman Publishing and has been published by Workman Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-29 with Juvenile Nonfiction categories.

Geometry? No problem! This Big Fat Notebook covers everything you need to know during a year of high school geometry class, breaking down one big bad subject into accessible units. Learn to study better and get better grades using mnemonic devices, definitions, diagrams, educational doodles, and quizzes to recap it all. Featuring: Logic and reasoning Parallel lines Triangles and congruence Trapezoids and kites Ratio and proportion The pythagorean theorem The fundamentals of circles Area Volume of prisms and cylinders And more

Information Geometry

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Author : Nihat Ay
language : en
Publisher: Springer
Release Date : 2017-08-25

Information Geometry written by Nihat Ay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-25 with Mathematics categories.

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated. This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramér-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo. The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems.

Shape

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Author : Jordan Ellenberg
language : en
Publisher: Penguin
Release Date : 2021-05-25

Shape written by Jordan Ellenberg and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.

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.

Geometry A Comprehensive Course

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Author : Dan Pedoe
language : en
Publisher: Courier Corporation
Release Date : 2013-04-02

Geometry A Comprehensive Course written by Dan Pedoe and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-02 with Mathematics categories.

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

The Facts On File Geometry Handbook

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Author : Catherine A. Gorini
language : en
Publisher: Infobase Publishing
Release Date : 2014-05-14

The Facts On File Geometry Handbook written by Catherine A. Gorini and has been published by Infobase Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.

Contains a history of the subject of geometry, including more than 3,000 entries providing definitions and explanations of related topics, plus brief biographies of over 300 scientists.

A Modern View Of Geometry

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Author : Leonard M. Blumenthal
language : en
Publisher: Courier Dover Publications
Release Date : 2017-04-19

A Modern View Of Geometry written by Leonard M. Blumenthal and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-19 with Mathematics categories.

Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.

Information Geometry And Its Applications

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Author : Shun-ichi Amari
language : en
Publisher: Springer
Release Date : 2016-02-02

Information Geometry And Its Applications written by Shun-ichi Amari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-02 with Mathematics categories.

This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman–Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.

Euclid S Elements

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Author : Euclid
language : en
Publisher:
Release Date : 2002

Euclid S Elements written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Geometry

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Author : Alan Bass
language : en
Publisher:
Release Date : 2007-04-17

Geometry written by Alan Bass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-17 with Geometry categories.

This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Topics include: A Brief History of Geometry 1. Basic Geometry Concepts 2. More about Angles 3. Triangles 4. More about Triangles: Similarity and Congruence 5. Quadrilaterals 6. Polygons 7. Area and Perimeter 8. Circles 9. Volume and Surface Area 10. Basic Trigonometry

Kiselev S Geometry

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Author : Andreĭ Petrovich Kiselev
language : en
Publisher:
Release Date : 2008

Kiselev S Geometry written by Andreĭ Petrovich Kiselev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.