Last edited by Malalmaran

Saturday, July 25, 2020 | History

7 edition of **A vector space approach to geometry.** found in the catalog.

A vector space approach to geometry.

Melvin Hausner

- 298 Want to read
- 30 Currently reading

Published
**1965**
by Prentice-Hall in Englewood Cliffs, N.J
.

Written in English

- Geometry, Algebraic,
- Vector analysis

**Edition Notes**

Series | Prentice-Hall mathematics series |

Classifications | |
---|---|

LC Classifications | QA564 .H3 |

The Physical Object | |

Pagination | x, 397 p. |

Number of Pages | 397 |

ID Numbers | |

Open Library | OL5943148M |

LC Control Number | 65014080 |

This chapter discusses discrete non-euclidean geometry with emphasis on inner product spaces, spherical geometry, elliptic geometry, and hyperbolic geometry. It describes discrete figures of finite dimensional elliptic, spherical, hyperbolic and Euclidean type, starting with the positive definite space R d and the indefinite space R 1,d as a. Euclidean space is the fundamental space of classical ally it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any nonnegative integer dimension, including the three-dimensional space and the Euclidean plane (dimension two). It was introduced by the Ancient Greek mathematician .

A Vector Space Approach to Geometry by Melvin Hausner () This website uses cookies for analytical and functional purposes. An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio An illustration of a " floppy disk. A vector space approach to geometry by Hausner, Melvin, Publication date Topics Geometry, Algebraic, Vector analysis Publisher Englewood Cliffs, N.J Pages:

This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. Melvin Hausner is the author of A Vector Space Approach to Geometry ( avg rating, 7 ratings, 0 reviews, published ), Discrete Mathematics ( a /5(8).

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This item: A Vector Space Approach to Geometry (Dover Books on Mathematics) by Melvin Hausner Paperback $ Only 1 left in stock - order soon.

Ships from and sold by Your Online Bookstore. Vector Geometry (Dover Books on Mathematics) by Gilbert de B. Robinson Paperback $/4(8). A Vector Space Approach to Geometry (Dover Books on Mathematics) - Kindle edition by Hausner, Melvin.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading A Vector Space Approach to Geometry (Dover Books on Mathematics).Cited by: I have been reading many books on vector analysis, geometry, and linear algebra this year.

Many of them have been good, but this book stands alone for deriving the basics of determinants, vector products, geometry, etc. in a clear and intuitive manner along with great examples.4/5.

A Vector Space Approach to Geometry Melvin Hausner, Mathematics The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science.

A Vector Space Approach to Geometry (Dover Books on Mathematics) Kindle Edition by Melvin Hausner (Author) › Visit Amazon's Melvin Hausner Page. search results for this author.

Melvin Hausner (Author) Format: Kindle Edition. out of 5 stars 5 ratings.4/5(5). The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science. In-depth discussions include a review 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.

- Buy A Vector Space Approach to Geometry (Dover Books on Mathematics) book online at best prices in India on Read A Vector Space Approach to Geometry (Dover Books on Mathematics) book reviews & author details and more at Free delivery on qualified orders.4/5(5).

The effects of geometry and linear algebra on each other receive close attention in this examination of geometry's correlation with other branches of math and science. In-depth discussions include a review 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.

A Vector Space Approach to Geometry. por Melvin Hausner. Dover Books on Mathematics ¡Gracias por compartir. Has enviado la siguiente calificación y reseña. Lo publicaremos en nuestro sitio después de haberla : Dover Publications. 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.

Affine Geometry 2. Vector Algebra Introduction The Definition of Vector Vector Addition Scalar Multiplication Physical and Other Applications Geometric Applications A Vector Approach to the Center of Mass 3.

Vector Spaces and Subspaces Introduction Vector Spaces4/5(3). A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called s are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any operations of vector addition and scalar.

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 as well as its value in understanding. A Vector Approach to the Center of Mass 3.

Vector Spaces and Subspaces Introduction Vector Spaces Independence and Dimension Some Examples of Vector Spaces: Coordinate Geometry Further Examples Affine Subspaces Some Separation Theorems Some Collinearity and Concurrence Theorems The Invariance of Author: Melvin Hausner.

This textbook is meant to be a mathematically complete and rigorous in-troduction to abstract linear algebra for undergraduates, possibly even ﬁrst year students, specializing in mathematics. Linear algebra is one of the most applicable areas of mathematics.

It is used by the pure mathematician and by the mathematically trained scien. In-depth discussions include a review 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.

Author: Melvin Hausner. A Vector Space Approach to Geometry (Dover Books on Mathematics) eBook: Hausner, Melvin: : Kindle StoreReviews: 5.

You need a book on linear algebra to really understand vector spaces. There are many linear algebra texts. I don’t have the exact titles and author names around right now, or I’d tell you which ones I’ve used. If you have some experience with abst.

VECTOR GEOMETRY IN Rn 25 Background 25 Exercises 26 Problems 28 Answers to Odd-Numbered Exercises29 Part 2. VECTOR SPACES 31 Chapter 5. VECTOR SPACES33 Background 33 Exercises 34 Problems 37 Answers to Odd-Numbered Exercises38 Chapter 6.

SUBSPACES39 love these books, but others nd them. things about vector spaces (of course!), but, perhaps even more importantly, you will be expected to acquire the ability to think clearly and express your-self clearly, for this is what mathematics is really all about.

Accordingly, you are urged to read (or reread) Chapter 1 of “Proofs and Problems in Calculus”. Additional Physical Format: Online version: Hausner, Melvin, Vector space approach to geometry.

Englewood Cliffs, N.J., Prentice-Hall [].Master MOSIG Introduction to Projective Geometry Chapter 2 Projective Spaces In this chapter, formal de nitions and properties of projective spaces are given, regardless of the dimension.

Speci c cases such as the line and the plane are studied in subsequent chapters. De nitions Consider the real vector space Rn+1 of dimension n+ 1. Let vbe. A Vector Space Approach to Geometry. by Melvin Hausner. Dover Books on Mathematics.

Share your thoughts Complete your review. Tell readers what you thought by rating and reviewing this book. Rate it * You Rated it *Brand: Dover Publications.