Schaum Differential and Integral Calculus (3E) by Frank Ayres, Elliott Mendelson

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About this book :-
Schaum Differential and Integral Calculus (3E) written by Frank Ayres, Elliott Mendelson .
This is another in the Schaum's series that is excellent for review, good as a supplement and almost impossible to use as a stand-alone learning tool. The problems are all suitable for the (re)study of differential and integral calculus, they are worked out in enough detail and the coverage of two semesters of calculus is essentially complete. If you have taken calculus and did well in the course, then there is no better way to perform a quick brushing up of your skills. Other than that, using this book is problematical. This third edition of the well-known calculus review book by Frank Ayres, Jr., has been thoroughly revised and includes many new features. Here are some of the more significant changes:
Analytic geometry, knowledge of which was presupposed in the first two editions, is now treated in detail from the beginning. Chapters 1 through 5 are completely new and introduce the reader to the basic ideas and results.
Exponential and logarithmic functions are now treated in two places.
They are first discussed briefly in Chapter 14, in the classical manner of earlier editions. Then, in Chapter 40, they are introduced and studied rigorously as is now customary in calculus courses. A thorough treatment of exponential growth and decay also is included in that chapter.
Terminology, notation, and standards of rigor have been brought up to date. This is especially true in connection with limits, continuity, the chain rule, and the derivative tests for extreme values.
Definitions of the trigonometric functions and information about the important trigonometric identities have been provided.
The chapter on curve tracing has been thoroughly revised, with the emphasis shifted from singular points to examples that occur more frequently in current calculus courses.
The purpose and method of the original text have nonetheless been preserved.
In particular, the direct and concise exposition typical of the Schaum Outline Series has been retained. The basic aim is to offer to students a collection of carefully solved problems that are representative of those they will encounter in elementary calculus courses (generally, the first two or three semesters of a calculus sequence). Moreover, since all fundamental concepts are defined and the most important theorems are proved, this book may be used as a text for a regular calculus course, in both colleges and secondary schools.
Each chapter begins with statements of definitions, principles, and theorems.
These are followed by the solved problems that form the core of the book. They give step-by-step practice in applying the principles and provide derivations of some of the theorems. In choosing these problems, we have attempted to anticipate the difficulties that normally beset the beginner. Every chapter ends with a carefully selected group of supplementary problems (with answers) whose solution is essential to the effective use of this book.

Book Detail :-
Title: Schaum Differential and Integral Calculus (3E)
Edition: 3rd
Author(s): Frank Ayres, Elliott Mendelson
Publisher: McGraw-Hill
Series: Schaum's outline series
Year: 1990
Pages: 489
Type: PDF
Language: English
ISBN: 9780070026629,0070026629
Country: US
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About Author :-
The author Frank Ayres, Jr. was a mathematics professor, best known as a famous author for the popular Schaum's Outlines series.
Ayres earned his bachelor of science degree from Washington College, Maryland and his master's and doctoral degrees from the University of Chicago.
He taught during 1921–4 at Ogden College and another four years at Texas A&M before coming to Dickinson College in 1928. He was promoted to associate professor in June, 1935. In 1943 he was named the Susan Powers Hoffman Professor of Mathematics. From 1938 until his retirement in June, 1958, he served as chairman of the mathematics department. Ayres was also an instructor in the Army Air Corps program at the College, 1943–44, and authored Basic Mathematics of Aviation, he wrote seven textbooks.

The author Elliott Mendelson is an American logician. He was a professor of mathematics at Queens College of the City University of New York,[1] and the Graduate Center, CUNY. He was Jr. Fellow, Society of Fellows, Harvard University.
Mendelson taught mathematics at the college level for more than 30 years, and is the author of books on logic, philosophy of mathematics, calculus, game theory and mathematical analysis.

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