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Problem Book for First Year Calculus by George W. Bluman
English | PDF | 1984 | 396 Pages | ISBN : 0387909206 | 39.6 MB
This book focuses on the application of one-variable calculus to problems connected with physics, engineering, business, economics, biology, and chemistry. It is intended for the student who wants to "learn by doing." In the application of mathematics it is most important to represent and interpret visually the essentials of a given problem. Chapters I and II are concerned with problems in graphing and geometry.
Chapters III, IV, V, and VI, respectively, deal with problems pertaining to physics and engineering, business and economics, biology and chemistry, and numerical methods.
Chapters VII and VIII contain problems on the theory and techniques of calculus.
Each of the first six chapters begins with a discussion of background material necessary for doing the corresponding problems. Each chapter has a section of Solved Problems worked out in detail, often with alternative methods of solution, and a section of Supplementary Problems for which answers and occasional comments are given in Chapter IX.
In each chapter the order of problems approximates the order in which topics are encountered in most calculus courses. There are standard and difficult problems, the latter indicated by an asterisk (*). The student who masters the standard problems should have no trouble passing. The difficult problems offer a substantial challenge to the best of students..
Each chapter may be studied independently of the others. However, a student should work on Chapters I and II before proceeding to Chapters III, IV, and V.
An easy-to-use Index has each entry referenced to specific Solved and Supplementary Problems.
