Sinopsis
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.
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Reseña del editor
Excerpt from Introduction to the Elementary Functions
The trigonometric functions are introduced early, and the gen eral definitions are given at once, instead 'oi those valid only for the acute angle. Thus the connection with the coordinate system is established from the first, and a clearer idea of the meaning of the trigonometric functions is obtained than if the student's atten tion is for some time confined to the case of the acute angle. The applications of the trigonometric functions to the solution of right triangles and problems depending upon them is made without the use of logarithms, as experience shows that the early introduction of logarithms may easily lead to mechanical methods of work.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
Excerpt from Introduction to the Elementary Functions
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 student's 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.
Accordingly, 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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Introduction to the Elementary Functions (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book presents an accessible and intriguing introduction to geometry through the lens of graphical representation. The author seamlessly merges algebra and geometry, demonstrating how to apply numerical concepts to spatial relationships. By plotting points on a coordinate plane, readers will gain a deeper understanding of functions, curves, and the intersection of lines. Through practical exercises and examples, the book unravels complex geometric principles, making them tangible and applicable to real-world scenarios. The author's approach breathes new life into classic geometric concepts, revealing their significance in diverse fields such as physics and architecture. By exploring the relationship between numbers and space, this book not only illuminates the beauty of geometry but also equips readers with a powerful tool for problem-solving and critical thinking. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330352106_0
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Introduction to the Elementary Functions (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330352106
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Introduction to the Elementary Functions (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330352106
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