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Fundamentals of Scientific Mathematics
"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.
"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.
288 pages, Paperback
First published July 29, 2003
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December 17, 2017
This book holds a very special place in my heart. This was part of my father's collection. I was in the 8th standard then and was a mathematics fanatic. My immense interest in getting acquainted with higher mathematics drew me to this book I learned a lot from it, matrices and determinants, vectors and calculus. Now, calculus was not that easy for me to tackle at first. In class 8, I could only understand the concept of limits. In 9th standard, I learned differentiation and finally in 10th I could comprehend the principles of integration; so when I finally encountered these subjects in higher classes(even before the maths curriculum, they were used in physics and thanks to my prior knowledge, I did not face any difficulty), it was pretty easy for me. I am indebted to this book in many ways!
Displaying 1 of 1 review