Geometry Snacks

Geometry Snacks PDF Author: Ed Southall
Publisher: Tarquin Group
ISBN: 9781911093701
Category : Geometry
Languages : en
Pages : 0

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Book Description
A mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages. Each puzzle is carefully designed to draw out interesting phenomena/ relationships between the areas and

Geometry Snacks

Geometry Snacks PDF Author: Ed Southall
Publisher: Tarquin Group
ISBN: 9781911093701
Category : Geometry
Languages : en
Pages : 0

Get Book Here

Book Description
A mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages. Each puzzle is carefully designed to draw out interesting phenomena/ relationships between the areas and

More Geometry Snacks

More Geometry Snacks PDF Author: Ed Southall
Publisher: Tarquin Group
ISBN: 9781911093961
Category : Geometry
Languages : en
Pages : 0

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Book Description
More Geometry Snacks, like its highly successful predecessor, is a mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages. Each puzzle is carefully designed to draw out interesting phenomena and relationships between the areas and dimensions of various shapes. Furthermore, unlike most puzzle books, the authors offer multiple approaches to solutions so that once a puzzle is solved, there are further surprises, insights and challenges to be had. As a teaching tool, More Geometry Snacks enables teachers to promote deep thinking and debate over how to solve geometry puzzles. Each figure is simple, but often deceptively tricky to solve - allowing for great classroom discussions about ways in which to approach them. By offering numerous solution approaches, the book also acts as a tool to help encourage creativity and develop a variety of strategies to chip away at problems that often seem to have no obvious way in.

Groups

Groups PDF Author: R. P. Burn
Publisher: Cambridge University Press
ISBN: 9780521347938
Category : Mathematics
Languages : en
Pages : 260

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Book Description
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.

Math with Bad Drawings

Math with Bad Drawings PDF Author: Ben Orlin
Publisher: Black Dog & Leventhal
ISBN: 0316509027
Category : Mathematics
Languages : en
Pages : 556

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Book Description
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

The Maths Behind...

The Maths Behind... PDF Author: Colin Beveridge
Publisher: Cassell
ISBN: 1844039897
Category : Mathematics
Languages : en
Pages : 383

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Book Description
The Maths Behind over 60 everyday phenomena. Have you ever wondered why traffic jams often turn out to have no cause when you get to the end of the queue? There's a mathematical explanation for that. Or ever considered whether some lotteries might be easier to win than others? There's a formula for that too. If you've ever been curious about the mathematical strings that hold our world together, then look no further than The Maths Behind. This intriguing and illuminating book takes a scientific view of your everyday world, and can give you the answers to all the niggling questions in your life, along with many you never even thought to ask. From the science behind roller coasters, to the maths behind how to consistently win at Monopoly (and become very unpopular with your family), this is a fascinating look at the mathematical forces that run beneath our everyday transactions.

Math Snacks: Problem-Solving Fun with Food Manipulatives

Math Snacks: Problem-Solving Fun with Food Manipulatives PDF Author: Eliza Anne Sorte
Publisher: Teacher Created Resources
ISBN: 1576903230
Category : Mathematics
Languages : en
Pages : 146

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Book Description
The methods used in this book help children make sense of mathematical concepts by allowing them to manipulate food items in order to solve problems.

Introduction to Hyperbolic Geometry

Introduction to Hyperbolic Geometry PDF Author: Arlan Ramsay
Publisher: Springer Science & Business Media
ISBN: 1475755856
Category : Mathematics
Languages : en
Pages : 300

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Book Description
This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis without proof. The book goes well beyond the standard course in later chapters, and there is enough material for an honors course, or for supplementary reading. Indeed, parts of the book have been used for both kinds of courses. Even some of what is in the early chapters would surely not be nec essary for a standard course. For example, detailed proofs are given of the Jordan Curve Theorem for Polygons and of the decomposability of poly gons into triangles, These proofs are included for the sake of completeness, but the results themselves are so believable that most students should skip the proofs on a first reading. The axioms used are modern in character and more "user friendly" than the traditional ones. The familiar real number system is used as an in gredient rather than appearing as a result of the axioms. However, it should not be thought that the geometric treatment is in terms of models: this is an axiomatic approach that is just more convenient than the traditional ones.

A Mathematical Space Odyssey

A Mathematical Space Odyssey PDF Author: Claudi Alsina
Publisher: American Mathematical Soc.
ISBN: 1614442169
Category : Mathematics
Languages : en
Pages : 289

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Book Description
Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.--

A New Approach to Differential Geometry using Clifford's Geometric Algebra

A New Approach to Differential Geometry using Clifford's Geometric Algebra PDF Author: John Snygg
Publisher: Springer Science & Business Media
ISBN: 081768283X
Category : Mathematics
Languages : en
Pages : 472

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Book Description
Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.

Foundations of Differentiable Manifolds and Lie Groups

Foundations of Differentiable Manifolds and Lie Groups PDF Author: Frank W. Warner
Publisher: Springer Science & Business Media
ISBN: 1475717997
Category : Mathematics
Languages : en
Pages : 283

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Book Description
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.