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Basic Geometric Concepts
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Book Synopsis Fundamental Concepts of Geometry by : Bruce E. Meserve
Download or read book Fundamental Concepts of Geometry written by Bruce E. Meserve and published by Courier Corporation. This book was released on 2014-12-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
Download or read book Number Smart written by and published by Rex Bookstore, Inc.. This book was released on with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid written by Shoo Rayner and published by . This book was released on 2017-11-02 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.
Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :
Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.
Book Synopsis Basic Ship Theory, Combined Volume by : E. C. Tupper
Download or read book Basic Ship Theory, Combined Volume written by E. C. Tupper and published by Butterworth-Heinemann. This book was released on 2001-10-05 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rawson and Tupper's Basic Ship Theory, first published in 1968, is widely known as the standard introductory text for naval architecture students, as well as being a useful reference for the more experienced designer. The fifth edition continues to provide a balance between theory and practice. Volume 1 discusses ship geometry and measurement in its more basic concepts, also covering safety issues, structural strength, flotation, trim and stability. Volume 2 expands on the material in Volume 1, covering the dynamics behaviour of marine vehicles, hydrodynamics, manoeuvrability and seakeeping. It concludes with some case studies of particular ship types and a discussion of maritime design. Both volumes feature the importance of considering the environment in design.Basic Ship Theory is an essential tool for undergraduates and national vocational students of naval architecture, maritime studies, ocean and offshore engineering, and this combined hardback version will be of great assistance to practising marine engineers and naval architects. - Brand new edition of the leading undergraduate textbook in Naval Architecture - Provides a basis for more advanced theory - Over 500 examples, with answers
Book Synopsis Geometry Revisited by : H. S. M. Coxeter
Download or read book Geometry Revisited written by H. S. M. Coxeter and published by American Mathematical Society. This book was released on 2021-12-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Book Synopsis Geometric Shapes Activity Book by : Robert Fathauer
Download or read book Geometric Shapes Activity Book written by Robert Fathauer and published by . This book was released on 2017-08 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains two pages of background material about geometric shapes, an activities example page, plus two dozen 8.5 x 11 pages of different geometric shapes. Each shape is incorporated in a larger drawing showing an example of the shape in the real world or its use in a geometric design. There are six activities that may be performed for each page: 1. Coloring the large geometric shape and drawing incorporating it. 2. Drawing the geometric shape, first by using the dots provided in the lower right corner for guidance, and then freehand. 3. Writing out the name of the shape, and learning to pronounce and spell it. 4. Coloring the tessellation example. 5. Marking the rotational and mirror symmetries of the shape on the drawing in the upper right corner. 6. Measuring the dimensions of the shape in the upper right drawing and using them to calculate the perimeter or area.
Book Synopsis The Shape of Space by : Jeffrey R. Weeks
Download or read book The Shape of Space written by Jeffrey R. Weeks and published by CRC Press. This book was released on 2001-12-12 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Book Synopsis The Geometry of Meaning by : Peter Gärdenfors
Download or read book The Geometry of Meaning written by Peter Gärdenfors and published by MIT Press. This book was released on 2014-01-17 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel cognitive theory of semantics that proposes that the meanings of words can be described in terms of geometric structures.
Book Synopsis Conceptual Spaces by : Peter Gardenfors
Download or read book Conceptual Spaces written by Peter Gardenfors and published by MIT Press. This book was released on 2004-01-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
Book Synopsis Geometry with Trigonometry by : Patrick D Barry
Download or read book Geometry with Trigonometry written by Patrick D Barry and published by Woodhead Publishing. This book was released on 2015-12-24 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: - The second edition has been comprehensively revised over three years - Errors have been corrected and some proofs marginally improved - The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given - Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics - Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters - Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
Book Synopsis Elementary College Geometry by : Henry Africk
Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry of Schemes by : David Eisenbud
Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Book Synopsis Geometry Is As Easy As Pie by : Katie Coppens
Download or read book Geometry Is As Easy As Pie written by Katie Coppens and published by Piece of Cake. This book was released on 2020-03-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Companion to: Geology is a piece of cake.
Book Synopsis New Foundations in Mathematics by : Garret Sobczyk
Download or read book New Foundations in Mathematics written by Garret Sobczyk and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
Book Synopsis Geometrical Methods in Robotics by : J.M. Selig
Download or read book Geometrical Methods in Robotics written by J.M. Selig and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to introduce Lie groups and allied algebraic and geometric concepts to a robotics audience. These topics seem to be quite fashionable at the moment, but most of the robotics books that touch on these topics tend to treat Lie groups as little more than a fancy notation. I hope to show the power and elegance of these methods as they apply to problems in robotics. A subsidiary aim of the book is to reintroduce some old ideas by describing them in modem notation, particularly Study's Quadric-a description of the group of rigid motions in three dimensions as an algebraic variety (well, actually an open subset in an algebraic variety)-as well as some of the less well known aspects of Ball's theory of screws. In the first four chapters, a careful exposition of the theory of Lie groups and their Lie algebras is given. Except for the simplest examples, all examples used to illustrate these ideas are taken from robotics. So, unlike most standard texts on Lie groups, emphasis is placed on a group that is not semi-simple-the group of proper Euclidean motions in three dimensions. In particular, the continuous subgroups of this group are found, and the elements of its Lie algebra are identified with the surfaces of the lower Reuleaux pairs. These surfaces were first identified by Reuleaux in the latter half of the 19th century.
Book Synopsis Geometric Concepts in Islamic Art by : Issam El-Said
Download or read book Geometric Concepts in Islamic Art written by Issam El-Said and published by . This book was released on 1976 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Man and his measure - Geometric patterns in Islamic design - Architecture - Designs.
