ABOUT THE BOOK

Published by Aluko Emmanuel

From the reviews: "These books ( Calculus and Analysis at Glance Vol. I) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures, Of interest to students, mathematicians, scientists and engineers. Calculus and Analysis at Glance is one of the best textbooks introducing several generations of mathematicians to higher mathematics. , This excellent book is highly recommended both to instructors


Calculus is the study of the effect on functions of small changes in their variables. One can study either the effect of one small change (differential calculus) or the accumulation of many small changes (integral calculus). One amazing result, the Fundamental Theorem of Calculus, shows how these two areas of calculus are related.
We can easily demonstrate all of the main ideas of calculus if we restrict ourselves to the set of all functions of the following form:

The book teaches fundamentally about :

In this Chapter
1. Limits and Differentiation
• 2. The Slope of a Tangent to a Curve (Numerical)
• 3. The Derivative from First Principles
• 4. Derivative as an Instantaneous Rate of Change
• 5. Derivatives of Polynomials
• 6. Derivatives of Products and Quotients
• 7. Differentiating Powers of a Function
• 8. Differentiation of Implicit Functions
• 9. Higher Derivatives

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