Elementary Functions and Applications by Arthur Sullivan Gale
Elementary Functions and Applications - Table of Contents
1. Functions, Equations and Graphs
2. Linear Functions
3. Algebraic Functions
4. Trigonometric Functions
5. Exponential and Logarithmic Functions
6. Differentiation of Algebraic Functions
7. Integration
8. Logarithmic Solution of Triangles
9. Theory of Measurement
What You Will Learn in Elementary Functions and Applications
"Elementary Functions and Applications" by Arthur Sullivan Gale and Charles William Watkeys is a foundational mathematics textbook that introduces students to the core ideas behind "Elementary Functions" in a clear and structured way. Written for learners transitioning from algebra to higher mathematics, the book focuses on building strong conceptual understanding rather than rote memorization. Gale presents mathematics as a logical system, helping readers see how functions describe relationships between quantities.
The book covers key topics such as polynomial, exponential, logarithmic, and trigonometric functions, with special attention to "Graphical Interpretation" and functional behavior. Each concept is explained step by step and reinforced through examples and exercises. This approach strengthens problem-solving skills and encourages students to think critically about how mathematical ideas work together.
A defining strength of the book is its emphasis on "Real-World Applications". Mathematical concepts are applied to practical problems drawn from science, engineering, and everyday situations, making abstract ideas more meaningful. With its balance of theory, practice, and clarity, the book supports "Mathematical Reasoning" and prepares students for calculus and advanced study. As a classic text, it remains valuable for understanding the historical foundations of "Applied Mathematics" and early mathematics education.
Book Details & Specifications
Title:
Elementary Functions and Applications by Arthur Sullivan Gale
Publisher:
H. Holt & Co
Year:
1920
Pages:
459
Type:
PDF
Language:
English
ISBN-10 #:
1418184276
ISBN-13 #:
978-1418184278
License:
Public Domain Work
Amazon:
Amazon
About the Author: Arthur Sullivan Gale and Charles William Watkeys
The author Arthur Sullivan Gale and Charles William Watkeys
were respected American mathematicians and educators who played an important role in early "Mathematics Education". Both focused on teaching mathematics in a clear, logical way that supported student understanding rather than memorization. Through "Elementary Functions and Applications", they emphasized "Conceptual Learning", practical examples, and clear explanations. Their collaborative work reflects a strong commitment to "Applied Mathematics", thoughtful instruction, and building foundations for "Calculus Preparation", making their textbook a lasting contribution to classical mathematical teaching.
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