Fundamentals of Scientific Mathematics

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Fundamentals of Scientific Mathematics by George E. Owen, Dover Publications
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Author: George E. Owen ISBN: 9780486164588
Publisher: Dover Publications Publication: December 3, 2012
Imprint: Dover Publications Language: English
Author: George E. Owen
ISBN: 9780486164588
Publisher: Dover Publications
Publication: December 3, 2012
Imprint: Dover Publications
Language: English

"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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"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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