Analytic Geometry with an Introduction to Vectors and Matrices PDF Download
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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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Book Description
Author: David Carruthers Murdoch
Publisher: New York : J. Wiley & Sons
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 320
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Book Description
Author: Kai T. Erikson
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
![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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Book Description
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: Melvin Hausner
Publisher: Courier Dover Publications
ISBN: 0486835391
Category : Mathematics
Languages : en
Pages : 417
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Book Description
A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.
Author: Giovanni Landi
Publisher: Springer
ISBN: 3319783610
Category : Science
Languages : en
Pages : 345
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Book Description
A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.
Author: M. A. Akivis
Publisher: Courier Corporation
ISBN: 0486148785
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.
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: Frank M. Tiller
Publisher:
ISBN:
Category : Análisis vectorial
Languages : en
Pages : 374
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Book Description
Author: Jacob T. Schwartz
Publisher: Courier Corporation
ISBN: 9780486420004
Category : Mathematics
Languages : en
Pages : 198
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Book Description
Concise undergraduate text focuses on problem solving, rather than elaborate proofs. The first three chapters present the basics of matrices, including addition, multiplication, and division. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. 1961 edition. 20 black-and-white illustrations.
