Explorations in Geometry

Explorations in Geometry PDF Author:
Publisher: World Scientific
ISBN: 9814295876
Category : Geometry
Languages : en
Pages : 319

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Book Description
"This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad."-

Explorations in Geometry

Explorations in Geometry PDF Author:
Publisher: World Scientific
ISBN: 9814295876
Category : Geometry
Languages : en
Pages : 319

Get Book Here

Book Description
"This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad."-

Explorations In Geometry

Explorations In Geometry PDF Author: Bruce Shawyer
Publisher: World Scientific Publishing Company
ISBN: 981310094X
Category : Mathematics
Languages : en
Pages : 319

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Book Description
This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad.

Synergetics

Synergetics PDF Author: R. Buckminster Fuller
Publisher: Estate of R. Buckminster Fuller
ISBN: 0020653204
Category : Architecture
Languages : en
Pages : 916

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Book Description
Synergetics, according to E. J. Applewhite, was Fuller's name for the geometry he advanced based on the patterns of energy that he saw in nature. For Fuller, geometry was a laboratory science with the touch and feel of physical models--not rules out of a textbook. It gains its validity not from classic abstractions but from the results of individual physical experience. Description by the Buckminster Fuller Institute, courtesy of The Estate of Buckminster Fuller

Explorations in Complex Analysis

Explorations in Complex Analysis PDF Author: Michael A. Brilleslyper
Publisher: American Mathematical Soc.
ISBN: 1614441081
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.

Function Theory of Several Complex Variables

Function Theory of Several Complex Variables PDF Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 0821827243
Category : Mathematics
Languages : en
Pages : 586

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Book Description
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

Explorations in Mathematical Physics

Explorations in Mathematical Physics PDF Author: Don Koks
Publisher: Springer Science & Business Media
ISBN: 0387309438
Category : Science
Languages : en
Pages : 549

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Book Description
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.

Geometry from Africa

Geometry from Africa PDF Author: Paulus Gerdes
Publisher: Cambridge University Press
ISBN: 9780883857151
Category : Juvenile Nonfiction
Languages : en
Pages : 236

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Book Description
This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.

Informal Geometry Explorations

Informal Geometry Explorations PDF Author: Margaret J. Kenney
Publisher: Pearson Education
ISBN: 9780866515467
Category : Education
Languages : en
Pages : 108

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Book Description
More than 75 motivational problem-solving activities explore geometry in the natural and human worlds: counting, area, construction, congruence, visualization, symmetry, tiling, and dissection. These versatile problems introduce new topics, reinforce and review ideas, or simply serve as a change of pace. Blackline masters and answer key.

A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra

A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra PDF Author: Kenneth J. M. MacLean
Publisher: Loving Healing Press
ISBN: 1932690999
Category : Mathematics
Languages : en
Pages : 163

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Book Description
This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)

Synergetics 2

Synergetics 2 PDF Author: R. Buckminster Fuller
Publisher: The Estate of R. Buckminster Fuller
ISBN: 0020926405
Category : Architecture
Languages : en
Pages : 651

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Book Description
Synergetics 2 contains a ninety-page index to both volumes. They comprise a single work with the sequence of paragraphs numbered to dovetail in a single integrated narrative. They should eventually be published as a single work eliminating the artificial division into two volumes resulting from the chronology of their composition. E. J. Applewhite, courtesy of the Estate of R. Buckminster Fuller