Method of Coordinates: 300-Plus Showpieces of the Heavens for Telescope Viewing and Contemplation

Book Details

• Author: Gelfand

• Publisher: Dover

• Language: English

• Binding: Paperback

• ISBN: 9780486425658

• Pages: 80

• Release Date: 22-09-2011

• Dimensions: 8.5 x 5.5 x 0.3 inches

About the Book

Introduction to Geometry and Calculus by Gelfand offers a foundational exploration of translating geometric concepts into the language of numbers. This concise yet powerful text provides an essential introduction to defining the position of a point in space, such as the orbit of a satellite, through the use of coordinates. The book is structured in two parts, each focusing on different aspects of geometry and its relation to calculation.

In the first part, Gelfand begins with a detailed analysis of the coordinates of points on a line, in a plane, and in three-dimensional space. Moving into the second part, the book explores the application of geometry in calculations, with a particular focus on the necessity and peculiarities of four-dimensional space.

Written with the intention of systematic study, this book is filled with helpful “road signs” in the margins, guiding readers to sections that require extra attention. Additionally, a wealth of ingenious problems, complete with solutions, answers, and hints, are included to foster independent thinking and encourage self-directed learning.

This book is ideal for students beginning their journey into geometry, calculus, or mathematical physics, offering a thorough grounding in coordinate systems and the translation of geometric forms into numerical calculations.