Introduction to the Elementary Functions (Classic Reprint) - Couverture souple

McClenon, Raymond Benedict

Couverture souple

ISBN 10 : 1330352106 ISBN 13 : 9781330352106

Editeur : Forgotten Books, 2018

Synopsis

A unified, beginner‑friendly path through algebra, geometry, and the start of calculus. This book presents a coordinated approach where numbers and space reinforce each other, helping students see how ideas in algebra connect with geometric thinking and graphical reasoning.

The text explains a practical course design that emphasizes understanding over rote procedures. It draws on experience from Grinnell College and aims to be useful in both high school and college settings. Chapters introduce the graphical representation of functions, the basics of analytic geometry, and the step into differential calculus, with careful attention to how ideas relate and build on one another.

• How functions are drawn and interpreted through graphs and coordinates.


• Connections between algebra, geometry, and the first ideas of calculus.


• Approaches to solving equations graphically, with attention to intuition and understanding.


• Practical examples and exercises that fuse theory with real problem solving.

Ideal for readers who want a clear, integrated foundation in university‑level mathematics and who value seeing how mathematical principles relate across topics.

A propos du livre

Présentation de l'éditeur

This book is an attempt to solve the problem of the first-year collegiate course in mathematics. That the problem is a very real one is attested by the many discussions constantly taking place among teachers of mathematics and others interested in education. The traditional Freshman course, consisting of college algebra, trigonometry, and solid geometry or elementary analytic geometry, is very generally regarded as unsatisfactory. There are three main objections to this traditional course: first, it is not unified, so that it sacrifices time and fails to hold the students interest; secondly, much of the subject matter should come after a first course in calculus, when it would gain vastly in significance; thirdly, the usual plan has deprived the large majority of college students of any introduction to the calculus, which is the heart and soul of modern mathematics and natural science. Only that small number electing to go beyond the first year of collegiate mathematics have the opportunity to become acquainted with the subject, which unquestionably represents one of the most important lines of development of human thought during the past two centuries. A ccordingly, we decided to construct a course with the fundamental idea of functionality as its unifying principle, and leading up to some elementary work in calculus as its culmination. The advantages of this arrangement are that it not only meets the objections stated in the preceding paragraph, but saves time by avoiding the repetition inevitable in the triple arrangement of subjects; and, what is more important, it leads to a deeper understanding of the significance of mathematical principles and relations than the student is likely to gain through the traditional course.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy,

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1330352106
• ISBN 13: 9781330352106
• Reliure: Broché
• Nombre de pages: 256
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