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About this book :-
The Calculus Primer written by William L. Schaaf.
In this book concise introductory course in the Differential and Integral Calculus, covering all the topics usually included in a first course. We have endeavored to achieve clarity of exposition, and have introduced many carefully worked out model examples. A generous number of diagrams supplements the development throughout, and in addition there is a special section of curves for reference toward the end of the book.
The development of the subject is direct and straightforward, without the distraction of unimportant details. Consequently, the demands of mathematical rigor, though fully recognized, have been less stressed in this presentation.
Since the needs of the beginner have constantly been kept in mind, the emphasis is placed upon fundamental concepts: functions, derivatives, differentiation of algebraic functions, differentiation of transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Sample exercises have been furnished after each important topic to enable the student to test his grasp of the subject matter before he proceeds to the next topic. Thus, the book is appropriate not only for classroom use, but also notably for review purposes and for home study.
The deliberate choice of an informal style will, it is hoped, hold the reader’s attention and encourage him to master the Calculus, perhaps the most basic area of mathematics in the world today, whether applied to the physical sciences, the social studies, or the behavioral sciences.
Book Detail :-
Title: The Calculus Primer
Author(s): William L. Schaaf
Publisher: Dover Publications
Series: Dover Books on Mathematics
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About Author :-
The author William L. Schaaf is a prfessor of mathematics and author of text books also the Director of the William Henry Fox Talbot Catalogue Raisonné He is also a consultant on the Bodleian’s newly-acquired Talbot Archive. Schaaf was the 2005 Slade Professor of Fine Art. He is the Founder and Editor of the Correspondence of William Henry Fox Talbot Project, which makes available fully searchable transcriptions of more than 10,000 Talbot letters online: http://foxtalbot.dmu.ac.uk/. Prof Schaaf received his PhD in Art History from the University of St Andrews. He is particularly interested in the so-called prehistory of photography and in the intersections in photography between art and science. Schaaf has published numerous journal articles and books, several of them award winning and pioneering in their categories. His office was in Rock House, Baltimore, Maryland USA.
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Book Contents :-
The Calculus Primer written by William L. Schaaf cover the following topics.
1. Functions, Rates, and Limits
2. The Derivative of a Function
3. Differentiation of Algebraic Functions
4. Using the Derivative
5. Differentiation of Transcendental Functions
6. Further Applications of the Derivative
9. Indeterminate Forms
10. Partial Differentiation
11. Expansion of Functions
12. General Methods of Integration
13. Special Methods of Integration
14. The Definite Integral
15. Integration as a Process of Summation
16. Successive and Partial Integration; Approximate Integration
Reference Material from Other Branches of Mathematics
Answers to Problems
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