Analytic Geometry With An Introduction To Vectors And Matrices
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Author | : David Carruthers Murdoch |
Publisher | : New York : J. Wiley & Sons |
Total Pages | : 320 |
Release | : 1966 |
Genre | : Geometry, Analytic |
ISBN | : |
Download Analytic Geometry with an Introduction to Vectors and Matrices Book in PDF, Epub and Kindle
Author | : Kai T. Erikson |
Publisher | : |
Total Pages | : |
Release | : 1966 |
Genre | : |
ISBN | : |
Download Analytic Geometry with an Introduction to Vectors and Matrices Book in PDF, Epub and Kindle
Author | : David Carruthers Murdoch |
Publisher | : |
Total Pages | : 294 |
Release | : 1966 |
Genre | : Geometry, Analytic |
ISBN | : |
Download Analytic Geometry with an Introduction to Vectors and Matrices [by] D.C. Murdoch Book in PDF, Epub and Kindle
Author | : K.T. Leung |
Publisher | : Hong Kong University Press |
Total Pages | : 357 |
Release | : 1994-08-01 |
Genre | : Mathematics |
ISBN | : 9622093604 |
Download Vectors, Matrices and Geometry Book in PDF, Epub and Kindle
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 |
Total Pages | : 417 |
Release | : 2018-10-17 |
Genre | : Mathematics |
ISBN | : 0486835391 |
Download A Vector Space Approach to Geometry Book in PDF, Epub and Kindle
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 | : Stephen Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2018-06-07 |
Genre | : Business & Economics |
ISBN | : 1316518965 |
Download Introduction to Applied Linear Algebra Book in PDF, Epub and Kindle
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author | : Giovanni Landi |
Publisher | : Springer |
Total Pages | : 348 |
Release | : 2018-05-12 |
Genre | : Science |
ISBN | : 3319783610 |
Download Linear Algebra and Analytic Geometry for Physical Sciences Book in PDF, Epub and Kindle
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 | : Jacob T. Schwartz |
Publisher | : Courier Corporation |
Total Pages | : 198 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486143708 |
Download Introduction to Matrices and Vectors Book in PDF, Epub and Kindle
Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices — including complex numbers, quaternion matrices, and matrices with complex entries — and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving. Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.
Author | : M. A. Akivis |
Publisher | : Courier Corporation |
Total Pages | : 192 |
Release | : 2012-07-25 |
Genre | : Mathematics |
ISBN | : 0486148785 |
Download An Introduction to Linear Algebra and Tensors Book in PDF, Epub and Kindle
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 |
Total Pages | : 194 |
Release | : 2013-10-10 |
Genre | : Mathematics |
ISBN | : 0486321045 |
Download Vector Geometry Book in PDF, Epub and Kindle
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.