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Author: David Carruthers Murdoch
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 294
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![Analytic Geometry with an Introduction to Vectors and Matrices [by] D.C. Murdoch PDF](https://books.google.com/books/content/images/frontcover/R5KgzgEACAAJ?fife=w80-h100)
Author: David Carruthers Murdoch
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 294
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Author: David Carruthers Murdoch
Publisher: New York : J. Wiley & Sons
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 320
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Author: Kai T. Erikson
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Lionel March
Publisher: Routledge
ISBN: 100069111X
Category : Architecture
Languages : en
Pages : 492
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Book Description
Originally published in 1971 The Geometry of Environment is a fusion of art and mathematics introducing stimulating ideas from modern geometry, using illustrations from architecture and design. The revolution in the teaching of mathematics and the advent of the computer in design challenge traditional ways of appreciating the space about us, and expand the ‘structural’ understanding of our surroundings through such concepts as transformations, symmetry groups, sets and graphs. This book aims to show the relevance of ‘new maths’ and encourages exploration of the widening intellectual horizons of environmental design and architecture.
Author: Gilbert de B. Robinson
Publisher: Courier Corporation
ISBN: 0486321045
Category : Mathematics
Languages : en
Pages : 194
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Book Description
Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Author: K.T. Leung
Publisher: Hong Kong University Press
ISBN: 9622093604
Category : Mathematics
Languages : en
Pages : 357
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Book Description
This book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each section. The other books in the series are Fundamental Concepts of Mathematics (published 1988) and Polynomials and Equations (published 1992).
Author: Louise Grinstein
Publisher: Routledge
ISBN: 1136787232
Category : Education
Languages : en
Pages : 912
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First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Gilbert de Beauregard Robinson
Publisher: Independently Published
ISBN:
Category :
Languages : en
Pages : 194
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Book Description
This then was the problem-to give an introductory course in modern algebra and geometry-and I have proceeded on the assumption that neither is complete without the other, that they are truly two sides of the same coin. Topics include lines and planes, determinants and linear equations, matrices, groups and linear transformations, and vectors and vector spaces. Additional subjects range from conics and quadrics to homogeneous coordinates and projective geometry, geometry on the sphere, and reduction of real matrices to diagonal form. Exercises appear throughout the text, with complete answers at the end. In seeking to coordinate Euclidean, projective, and non-Euclidean geometry in an elementary way with matrices, determinants, and linear transformations, the notion of a vector has been exploited to the full. There is nothing new in this book, but an attempt has been made to present ideas at a level suitable to first-year students and in a manner to arouse their interest. For these associations of ideas are the stuff from which modern mathematics and many of its applications are made. I have tried to keep the presentation as informal as possible in an attempt to arouse and maintain interest. Some of your established ideas may be challenged in Chapter 8 but this is all part of the process! The exercises have been constructed to illustrate the subject in hand and sometimes to carry the ideas a little further, but emphasis by mere repetition has been avoided. This matter of exercises is important. You should work at them contemplatively and expect to be frustrated sometimes, for this is the only way to make the ideas your own. The notion of a vector is of central significance in Euclidean geometry. As the title of this book suggests, our purpose is to develop these ideas in several different contexts. Some of these contexts are officially "algebraic" while others are "geometric," but with this thread to guide us, we shall see their interrelations and why it is that mathematics is a living subject, changing and progressing with the introduction of new ideas.
Author: Arno Jaeger
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 330
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Author:
Publisher:
ISBN:
Category : Canada
Languages : en
Pages : 1070
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