The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this same content, unchanged by over thirty years of experience and mathematical development, are available in the following books to any student who is willing to read, to be stimulated, and to learn. "Functions and Graphs" provides instruction in transferring formulas and data into geometrical form. Thus, drawing graphs is shown to be one way to "see" formulas and functions and to observe the ways in which they change. This skill is fundamental to the study of calculus and other mathematical topics. Teachers of mathematics will find here a fresh understanding of the subject and a valuable path to the training of students in mathematical concepts and skills.
Author(s): I.M. Gelfand, E.G. Glagoleva, E.E. Shnol
Edition: 1990
Publisher: Birkhäuser
Year: 1990
Language: English
Commentary: This is a cleaned version of an existing scanned version.
Pages: 116
Cover
Preface
Foreword
Contents
Introduction
Chapter 1. Examples
Chapter 2. The Linear Function
Chapter 3. The Function y = |x|
Chapter 4. The Quadratic Trinomial
Chapter 5. The Linear Fractional Function
Chapter 6. Power Functions
Chapter 7. Rational Functions
Problems for Independent Solution
Answers and Hints
