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Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes. Drawing on the author's deep and personal understanding of three-dimensional space, it adopts an intuitive visual approach designed to develop heuristic tools of real use in applied contexts.Increasing activity in such areas as computer aided design and robotics calls for sophisticated methods to characterize solid objects. A wealth of mathematical research exists that can greatly facilitate this work yet engineers have continued to "reinvent the wheel" as they grapple with problems in three dimensional geometry. Solid Shape bridges the gap that now exists between technical and modern geometry and shape theory or computer vision, offering engineers a new way to develop the intuitive feel for behavior of a system under varying situations without learning the mathematicians' formal proofs. Reliance on descriptive geometry rather than analysis and on representations most easily implemented on microcomputers reinforces this emphasis on transforming the theoretical to the practical.Chapters cover shape and space, Euclidean space, curved submanifolds, curves, local patches, global patches, applications in ecological optics, morphogenesis, shape in flux, and flux models. A final chapter on literature research and an appendix on how to draw and use diagrams invite readers to follow their own pursuits in threedimensional shape.Jan J. Koenderinck is Professor in the Department of Physics and Astronomy at Utrecht University. Solid Shape is included in the Artificial Intelligence series, edited by Patrick Winston, Michael Brady, and Daniel Bobrow
You see solid shapes everywhere! Learn how to identify, name, and describe solid shapes.
Some solid shapes stack. Some solid shapes roll. Which solid shapes can you use to build?
More than 60 reproducible worksheets and activities provide students with the opportunity to explore experiment with, and manipulate 2D and 3D shapes. A combination of both written and manipulative activities may be adapted to suit the needs of a wide range of student abilities. Background information and teacher suggestions are included for easy planning and implementation. Supports NCTM Standards and Common Core Standards for Mathematics Grades 1-2. 96 pages.
Why do anchors sink but corks float? Is it magic? No! It’s physical science! By combining clear overviews with enlightening photography and diagrams, this volume will ensure that students understand the basic properties and variability of solid matter.
Using simple text and illustrations, describes the characteristics of various shapes, including circles, triangles, squares, rectangles, and spheres.
An important dictum of learning is that theoretical learning must always be supplemented by practical learning. This ensures proper understanding and comprehension besides better retention. It eliminates the phobia and makes learning fun. With this in mind the concept of activities in mathematics was introduced. This series of books caters to the above requirement. It is a sincere effort to sharpen the intellect through activity oriented learning to acquire mathematical skills and develop logical reasoning. The ebook version does not contain CD.
Maths for Fun explores maths through interactive projects, experiments and fun games, raging from the simple to the more challenging. Filled with ideas for making helpful tools, hints and tips and even further concepts to explore, Maths for Fun puts the f