Geometry Turned On

Geometry Turned On
Author: James King
Publisher: Cambridge University Press
Total Pages: 228
Release: 1997-10-30
Genre: Mathematics
ISBN: 9780883850992

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

DIY MFA

DIY MFA
Author: Gabriela Pereira
Publisher: Penguin
Total Pages: 306
Release: 2016-07-08
Genre: Language Arts & Disciplines
ISBN: 1599639343

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
Total Pages: 209
Release: 2011-09-29
Genre: Philosophy
ISBN: 1139501461

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
Total Pages: 292
Release: 1993-04-01
Genre: Mathematics
ISBN: 9780412398605

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.

The Man Who Saved Geometry

The Man Who Saved Geometry
Author: Siobhan Roberts
Publisher: Princeton University Press
Total Pages: 416
Release: 2024-10-29
Genre: Mathematics
ISBN: 0691264759

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
Total Pages: 194
Release: 2017-02-02
Genre: Mathematics
ISBN: 3319428632

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
Total Pages: 227
Release: 2022-10-28
Genre: Technology & Engineering
ISBN: 9811969523

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.

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
Total Pages: 1024
Release: 2005
Genre: Computers
ISBN: 1586035738

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.

CNC Control Setup for Milling and Turning

CNC Control Setup for Milling and Turning
Author: Peter Smid
Publisher: Industrial Press Inc.
Total Pages: 318
Release: 2010
Genre: Computers
ISBN: 9780831133504

This unique reference features nearly all of the activities a typical CNC operator performs on a daily basis. Starting with overall descriptions and in-depth explanations of various features, it goes much further and is sure to be a valuable resource for anyone involved in CNC.

A Course in Modern Geometries

A Course in Modern Geometries
Author: Judith N. Cederberg
Publisher: Springer Science & Business Media
Total Pages: 456
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475734905

Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".