Geometry Turned On

Geometry Turned On

Author: James King

Publisher: Cambridge University Press

Published: 1997-10-30

Total Pages: 228

ISBN-13: 9780883850992

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Articles about the uses of active, exploratory geometry carried out with interactive computer software.


DIY MFA

DIY MFA

Author: Gabriela Pereira

Publisher: Penguin

Published: 2016-07-08

Total Pages: 306

ISBN-13: 1599639343

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Get the Knowledge Without the College! You are a writer. You dream of sharing your words with the world, and you're willing to put in the hard work to achieve success. You may have even considered earning your MFA, but for whatever reason--tuition costs, the time commitment, or other responsibilities--you've never been able to do it. Or maybe you've been looking for a self-guided approach so you don't have to go back to school. This book is for you. DIY MFA is the do-it-yourself alternative to a Master of Fine Arts in creative writing. By combining the three main components of a traditional MFA--writing, reading, and community--it teaches you how to craft compelling stories, engage your readers, and publish your work. Inside you'll learn how to: • Set customized goals for writing and learning. • Generate ideas on demand. • Outline your book from beginning to end. • Breathe life into your characters. • Master point of view, voice, dialogue, and more. • Read with a "writer's eye" to emulate the techniques of others. • Network like a pro, get the most out of writing workshops, and submit your work successfully. Writing belongs to everyone--not only those who earn a degree. With DIY MFA, you can take charge of your writing, produce high-quality work, get published, and build a writing career.


Spinoza's Geometry of Power

Spinoza's Geometry of Power

Author: Valtteri Viljanen

Publisher: Cambridge University Press

Published: 2011-09-29

Total Pages: 209

ISBN-13: 1139501461

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This work examines the unique way in which Benedict de Spinoza (1632–77) combines two significant philosophical principles: that real existence requires causal power and that geometrical objects display exceptionally clearly how things have properties in virtue of their essences. Valtteri Viljanen argues that underlying Spinoza's psychology and ethics is a compelling metaphysical theory according to which each and every genuine thing is an entity of power endowed with an internal structure akin to that of geometrical objects. This allows Spinoza to offer a theory of existence and of action - human and non-human alike - as dynamic striving that takes place with the same kind of necessity and intelligibility that pertain to geometry. Viljanen's fresh and original study will interest a wide range of readers in Spinoza studies and early modern philosophy more generally.


Differential Geometry and Statistics

Differential Geometry and Statistics

Author: M.K. Murray

Publisher: CRC Press

Published: 1993-04-01

Total Pages: 292

ISBN-13: 9780412398605

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Ever since the introduction by Rao in 1945 of the Fisher information metric on a family of probability distributions, there has been interest among statisticians in the application of differential geometry to statistics. This interest has increased rapidly in the last couple of decades with the work of a large number of researchers. Until now an impediment to the spread of these ideas into the wider community of statisticians has been the lack of a suitable text introducing the modern coordinate free approach to differential geometry in a manner accessible to statisticians. Differential Geometry and Statistics aims to fill this gap. The authors bring to this book extensive research experience in differential geometry and its application to statistics. The book commences with the study of the simplest differentiable manifolds - affine spaces and their relevance to exponential families, and goes on to the general theory, the Fisher information metric, the Amari connections and asymptotics. It culminates in the theory of vector bundles, principal bundles and jets and their applications to the theory of strings - a topic presently at the cutting edge of research in statistics and differential geometry.


Designing Learning Environments for Developing Understanding of Geometry and Space

Designing Learning Environments for Developing Understanding of Geometry and Space

Author: Richard Lehrer

Publisher: Routledge

Published: 2012-11-12

Total Pages: 519

ISBN-13: 1136490515

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This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.


The Man Who Saved Geometry

The Man Who Saved Geometry

Author: Siobhan Roberts

Publisher: Princeton University Press

Published: 2024-10-29

Total Pages: 416

ISBN-13: 0691264759

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An illuminating biography of one of the greatest geometers of the twentieth century Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter’s life and work, placing him alongside history’s greatest geometers, from Pythagoras and Plato to Archimedes and Euclid—and it reveals how Coxeter’s boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.


Exploring Classical Greek Construction Problems with Interactive Geometry Software

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Author: Ad Meskens

Publisher: Birkhäuser

Published: 2017-02-02

Total Pages: 194

ISBN-13: 3319428632

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In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.


Variable Geometry Turbine Technology for Marine Gas Turbines

Variable Geometry Turbine Technology for Marine Gas Turbines

Author: Jie Gao

Publisher: Springer Nature

Published: 2022-10-28

Total Pages: 227

ISBN-13: 9811969523

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This book starts from the design requirements of variable geometry turbines for marine gas turbines. It systematically and comprehensively introduces the flow mechanism and characteristics of variable geometry turbines, aerodynamic design methods, variable vane turning design methods, structural design technology of the variable vane system, aerodynamic characteristics and reliability test technology for variable geometry turbines, and so on.


Geometry of Single-point Turning Tools and Drills

Geometry of Single-point Turning Tools and Drills

Author: Viktor P. Astakhov

Publisher: Springer Science & Business Media

Published: 2010-07-29

Total Pages: 584

ISBN-13: 1849960534

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Geometry of Single-Point Turning Tools and Drills outlines clear objectives of cutting tool geometry selection and optimization, using multiple examples to provide a thorough explanation. It addresses several urgent problems that many present-day tool manufacturers, tool application specialists, and tool users, are facing. It is both a practical guide, offering useful, practical suggestions for the solution of common problems, and a useful reference on the most important aspects of cutting tool design, application, and troubleshooting practices. Covering emerging trends in cutting tool design, cutting tool geometry, machining regimes, and optimization of machining operations, Geometry of Single-Point Turning Tools and Drills is an indispensable source of information for tool designers, manufacturing engineers, research workers, and students.


Towards Sustainable and Scalable Educational Innovations Informed by the Learning Sciences

Towards Sustainable and Scalable Educational Innovations Informed by the Learning Sciences

Author: Chee-Kit Looi

Publisher: IOS Press

Published: 2005

Total Pages: 1024

ISBN-13: 1586035738

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One of the basic principles that underpin the learning sciences is to improve theories of learning through the design of powerful learning environments that can foster meaningful learning. Learning sciences researchers prefer to research learning in authentic contexts. This book focuses on learning sciences in the Asia-Pacific context.