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Essential Calculus with Applications
Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.
320 pages, Paperback
First published August 1, 1989
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May 7, 2020
Calculus is an essential tool for anyone interested in higher mathematics. For me, the unfortunate thing is that I never got past Calculus II. Remembering all of those Trigonometric Identities was tough. However, I digress.
Essential Calculus with Applications is written by Richard A Silverman. It delivers what it promises on the cover. It provides a mathematical background so that the reader understands what the author is talking about in later chapters. It builds on previous knowledge with the author assuming that the reader has only the basics of algebra and geometry.
There is a lot to like about this book. Since the author presumes nothing, he includes how to pronounce the symbols you encounter in the book. There are a lot of proofs in the book as well. For one thing, it includes proof that the square root of 2 is irrational. I have seen this proof before but it is nice to see it again. The book goes through Sets and how to manipulate them, the basics of graphing lines and equations, inequalities, and a smattering of trigonometry before it gets to the calculus part.
With the actual calculus part, it introduces a concept and then demonstrates a use or application for that tool. So it goes through limits, derivatives, integrals, related rates, partial derivatives, and more. There isn’t anything bad to say about this book. It was written back in the 1970s and some of the text shows this, but it is mostly through the technology.
The book contains answers to the problems at the back of the book. I liked it, even though it took a while to get through it.
Essential Calculus with Applications is written by Richard A Silverman. It delivers what it promises on the cover. It provides a mathematical background so that the reader understands what the author is talking about in later chapters. It builds on previous knowledge with the author assuming that the reader has only the basics of algebra and geometry.
There is a lot to like about this book. Since the author presumes nothing, he includes how to pronounce the symbols you encounter in the book. There are a lot of proofs in the book as well. For one thing, it includes proof that the square root of 2 is irrational. I have seen this proof before but it is nice to see it again. The book goes through Sets and how to manipulate them, the basics of graphing lines and equations, inequalities, and a smattering of trigonometry before it gets to the calculus part.
With the actual calculus part, it introduces a concept and then demonstrates a use or application for that tool. So it goes through limits, derivatives, integrals, related rates, partial derivatives, and more. There isn’t anything bad to say about this book. It was written back in the 1970s and some of the text shows this, but it is mostly through the technology.
The book contains answers to the problems at the back of the book. I liked it, even though it took a while to get through it.
Displaying 1 of 1 review