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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. show more (1)
employing a practical, learn by doing approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. the author draws on a diversity of fields -- including science, engineering, and operations research -- to provide over 100 reality-based examples. students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. the lively and accessible text requires only minimal scientific background. designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. all problems require students to study and create models, encouraging their active participation rather than a mechanical approach. beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications. show more (1)

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1 图书 An Introduction to Mathematical Modeling
责任者 Bender, Edward A

出版信息 Dover Publications, Inc. ,2000

ISBN 978-0-48641-180-4

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Bender, Edward A.An Introduction to Mathematical Modeling.Dover Publications, Inc.,2000.
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An Introduction to Mathematical Modeling

Bender, Edward A.Dover Publications, Inc.,2000.
2 图书 Fundamentals of Scientific Mathematics
责任者 George E. Owen

出版信息 Dover Publications, Inc. ,2003

ISBN 978-0-48642-808-6

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George E. Owen.Fundamentals of Scientific Mathematics.Dover Publications, Inc.,2003.
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Fundamentals of Scientific Mathematics

George E. Owen.Dover Publications, Inc.,2003.

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