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- 2020年11月29日 6:17 PM#2143
Fundamentals of Scientific Mathematics
by George E. Owen
- Publisher: Dover Publications
- Author: George E. Owen
- Format: paperback, 288 pages
- ISBN: 9780486428086 (0486428087)
- Language: english
- Release date: February 29, 2012
About The Book
“For high school seniors or college freshmen with a background in algebra and trigonometry, the book should provide a good introduction to matrices, vector algebra, analytical geometry, and calculus. The work’s solid modern mathematical content and its personality recommend consideration as a text or as stimulating supplementary reading.” — American Scientist
“The book is well written and the presentation throughout achieves clarity of thought with a minimum of computational effort.” — Physics Today
This rewarding text, beautifully illustrated by the author and written with superb clarity, offers undergraduate students a solid mathematical background and functions equally well for independent study.
The five-part treatment begins with geometry, defining three-dimensional Euclidean space and its axioms, the coordinate system and coordinate transformation, and matrices. A review of vector algebra covers vector properties, multiplication, the resolution of a vector along a complete set of base vectors, and vector transformations. Topics in analytic geometry introduce loci, straight lines, the plane, two-dimensional curves, and the quadratic form. Functions are defined, as are intervals, along with multiplicity, the slope at a point, continuity, and areas. The concluding chapter, on differential and integral calculus, explains the concept of a limit, the derivative, the integral, differential equations, and applications of the calculus to kinematics.
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