The linear function and Euclidean geometry Jennifer J. Edmond, Jack E. Graver

Format:

Book

Author/Creator:

Edmond, Jennifer J., author.

Graver, Jack E., 1935- author.

Series:

Synthesis lectures on mathematics & statistics (Springer (Firm))

Synthesis lectures on mathematics & statistics 1938-1751

Language:

English

Subjects (All):

Algebras, Linear.

Function algebras.

Euclid's Elements.

Geometry, Plane.

Physical Description:

1 online resource

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"This book is intended as a bridge between high school and college mathematics. The contents have been chosen to demonstrate the relationships among topics from the high school curriculum, including topics that may be part of a fourth year non-calculus mathematics course and first and second year college courses. As the title indicates, the common thread of this work is the linear function. The two parts of the book are devoted, in turn, to: the linear function of a real variable and the linear function of a 2-dimensional vector variable. A second common thread is the visualization of these functions as transformations of 1- or 2-dimensional Euclidean space. The topics, examples, and problems have all been chosen to encourage the integration of the major topics from the high school curriculum. Another feature of this book is that it includes proofs. Specifically, not the formal “two column proofs” often included in the study of geometry in high school, but the more informal, but nevertheless rigorous, step-by-step explanations of why what we believe to be true is indeed true. One of the common complaints of the colleges is that a large majority of incoming freshmen do not have algebra as a usable tool. In this book, algebra is seen to be an essential tool for the further study of mathematics. Algebraic skills are strengthened by constantly using algebra and by seeing the application of algebra in a variety of settings"-- Springer Nature Link

Contents:

The geometry of the Euclidean line

Linear difference equations

The mathematics of personal finance

Linear functions in business

The geometry of the Euclidean plane

Applications

Two-dimensional isometries

Symmetry groups

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature Link, viewed July 1, 2026)

Other Format:

Print version Edmond, Jennifer J. Linear function and Euclidean geometry

ISBN:

9783032227126

3032227127

OCLC:

1601072002

Access Restriction:

Restricted for use by site license