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Franklin P. — Differential and integral calculus
Franklin P. — Differential and integral calculus



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Название: Differential and integral calculus

Автор: Franklin P.

Аннотация:

This book is designed to serve as a basic but full introduction to the field of differential and integral calculus. It is a fine textbook for a two or three-semester course, especially as it contains review material on trigonometric, exponential and logarithmic fUnctions and highlights of plane and solid analytic geometry-prerequisites which may not have been previously covered by the student. It is equally valuable as supplementary reading for classwork or as a self-instruction text. After establishing the basis for differential calculus in the first chapter, the author moves quickly to the discussion of integration of pOwer functions, leaving the more complex study of the definite integral regarded as the limit of a summation until later in the book. Among Other topics covered are parametric funCtions, force components in polar coordinates, Duhamel's theorem, extrema of functions of two or more variables, methods and applicalions of integration, infinite series, Taylor'S series, and multiple integrals. A chapter on vectors and surfaces in space is in line with the most modern approach to undergraduate teaching.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1953

Количество страниц: 679

Добавлена в каталог: 02.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Velocity vector, components of, radial and transverse      270
Velocity, angular      170
Velocity, components of      88
Velocity, positive and negative      52
Vertex, of a hyperbola      129
Vertex, of a parabola      122
Vertex, of a quadric surface      532
Vertex, of an ellipse      126
Volume      104 359
Volume by double integration      548 552
Volume by triple integration      562 564 573
Volume of a solid of revolution      359
Volume of a solid of revolution, using shells      360
Wallis' definite integrals      351 629
Weighted average      367
Work      391
Work by an expanding gas      392
Work in emptying a tank      391
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