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Excerpt from An Introduction to Mathematical Analysis
Under the traditional plan of studying trigonometry, college algebra, analytic geometry, and calculus separately, a student can form no conception of the character and possibilities of modern mathematics, nor of the relations of its several branches as parts of a unified whole, until he has taken several successive courses. Nor can he, early enough, get the elementary working knowledge of mathematical analysis, including integral calculus, which is rapidly becoming indispensable for students of the natural and social sciences. Moreover, he must deal with complicated technique in each introductory course; and must study many topics apart from their uses in other subjects, thus missing their full significance and gaining little facility in drawing upon one subject for help in another.
To avoid these disadvantages of the separate-subject plan the unified course presented here has been evolved. This enables even those students who can take only one semesters work to get some idea of differential and integral calculus, trigonometry, and logarithms. And specialist students, as experience has shown; acquire an excellent command of mathematical tools by first getting a birds-eye view of the field, and then proceeding to perfect their technique.
A regular course in calculus, following this, can proceed more rapidly than usual, include more advanced topics, and give a fine grasp: the principles and processes have become an old story. And the regular course in analytic geometry can be devoted to a genuine study of the geometrical properties of loci, since most of the type equations, basic formulas, and calculus methods are already familiar.
About the Publisher
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- Published on: 2015-06-05
- Released on: 2015-06-05
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x 1.06" w x 5.98" l, 1.53 pounds
- Binding: Paperback
- 524 pages
Most helpful customer reviews
1 of 1 people found the following review helpful.
A great math book
By travel light and smiling
There has been an ongoing debate about what Math is. Without going into a lot of detail, the world is unevenly\ divided into camps which argue that math is a purely abstract subject, and those who disagree. Loxley guides you into the topics of advanced math-- calculus is the first destination on his trek. You get problems regarding things that you would encounter in real life, which makes it much easier to envision the math process than dealing with it on a purely abstract basis. I am fortunate enough to own several editions of this work. The answers to the problems are in a separate pamphlet for the editions of the '20's and 30's, and are specific to each work. If you are going to buy the book, buy the reprint offered on Amazon, and probably the reprint of the answer key. Otherwise, you may not get the answer keys.
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