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Whicher explores the concepts of polarity and movement in modern projective geometry as a discipline of thought that transcends the limited and rigid space and forms of Euclid, and the corresponding material forces conceived in classical mechanics. Rudolf Steiner underlined the importance of projective geometry as, 'a method of training the imaginative faculties of thinking, so that they become an instrument of cognition no less conscious and exact than mathematical reasoning.' This seminal approach allows for precise scientific understanding of the concept of creative fields of formative (etheric) forces at work in nature--in plants, animals and in the human being.Olive Whicher's groundbreaking book presents an accessible--non-mathematician's--approach to projective geometry. Profusely illustrated, and written with fire and intuitive genius, this work will be of interest to
Whicher explores the concepts of polarity and movement in modern projective geometry as a discipline of thought that transcends the limited and rigid space and forms of Euclid, and the corresponding material forces conceived in classical mechanics. Rudolf Steiner underlined the importance of
Through a unique approach combining art and mathematics, Perspective and Projective Geometry introduces students to the ways that projective geometry applies to perspective art. Geometry, like mathematics as a whole, offers a useful and meaningful lens for understanding the visual world. Exploring
Lawrence Edwards researched and taught projective geometry for more than 40 years. Here, he presents a clear and artistic understanding of the intriguing qualities of this geometry. Illustrated with over 200 instructive diagrams and exercises, this book will reveal the secrets of space to those who
Points and Lines: A Look at Projective Geometry.- Parallel Lines: A Look at Affine Geometry.- Area: A Look at Symplectic Geometry.- Circles: A Look at Euclidean
Robin Evans recasts the idea of the relationship between geometry and architecture, drawing on mathematics, engineering, art history, and aesthetics to uncover processes in the imagining and realizing of architectural form.Anyone reviewing the history of architectural theory, Robin Evans observes,
Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativity, and so is an essential tool for astronomers and
The Time and Space of Uncle Albert is book one in the bestselling Uncle Albert science and adventure series. Famous scientist Uncle Albert and his niece Gedanken enter the dangerous and unknown world of a thought
This highly stimulating study observes many of the sometimes startling interrelationships between art and mathematics throughout history. It explains the differences between ancient and Renaissance painting and sculpture as well as the development of perspective and advances in projective geometry
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques
A comprehensive tour across differential geometry, geometric analysis and differential topology, this graduate-level text touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kahler and Sasaki
An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton's
A teachers' book for math covering 'Mathematics in Nature', 'Pythagoras and Numbers', 'Platonic Solids' and 'Rhythm and Cycles'. Includes full color illustrations and diagrams throughout. A resource for Steiner-Waldorf teachers for math for Class 7 (age 12-13) and Class 8 (age 13-14). This book is
Fundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations
Journey through time and space with the longest-living man in the universe in this mind-bending novel from New York Times bestselling Grand Master of Science Fiction Robert A. Heinlein. Time Enough for Love follows Lazarus Long through a vast and magnificent timescape of centuries and worlds
Make gerometry paractice easy and dun Geometry is one of the oldest mathematical subjects in history. Unfortunately, few geometry study guides offer clear explanations, causing many people to get tripped up or lost when trying to solve a proof--even when they know the terms and concepts like the
The Creative Space Journal is a journal through 100 art projects, offering prompts and projects, sparks and nudges, ideas and inspirations for activities to reflect, enhance or change your mood. Pages present beautifully illustrated exercises designed to add some art and mischief to your world, and
The essential guide to running brilliant meetings and workshops, in person and virtually. From initial idea through preparation to delivery and follow-up, and with helpful templates and checklists, discover the secrets of running really effective group sessions
Necromancy, space action, and dark humor collide in this wildly creative new series from the creator of Dorohedoro Zaha Sanko's body has great and terrible powers--they say that possessing his bones will grant you any wish, even the desire to become ruler of the universe. But Sanko is still a
Imagine a funfair in the classroom...invite dragons to school...let pupils travel through time!Written by award-winning children's author Judy Waite, Wordtamer offers over fifty ideas for exciting, innovative writing activities and creative workshops. The book explores how authors actually work
Philosophical foundations of the physics of space-time This concise book introduces nonphysicists to the core philosophical issues surrounding the nature and structure of space and time, and is also an ideal resource for physicists interested in the conceptual foundations of space-time theory. Tim
LEARN HOW TO GET STARTED IN CREATIVE WRITING AND WRITE WITH CONFIDENCE AND FLAIR. Get Started in Creative Writing will help writers at the very beginning of their creative journey to gain confidence and find inspiration, and then support you in the completion of your first pieces of creative