Cover for Applied Calculus

Applied Calculus

A volume in The Commonwealth and International Library: Programmed Texts Series

Book1966

Authors:

D.J. BELL

Applied Calculus

A volume in The Commonwealth and International Library: Programmed Texts Series

Book1966

 

Cover for Applied Calculus

Authors:

D.J. BELL

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Book description

Applied Calculus, Volume 1 provides information pertinent to the fundamental principles of the calculus to problems that occur in Science and Technology. This book illustrates the ... read full description

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  2. Book chapterAbstract only

    CHAPTER ONE - Rates of Change. Velocity. Acceleration. Area under a Curve

    Pages 1-68

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    CHAPTER TWO - Motion with Uniform Acceleration. Angular Velocity. Mean Values. Areas and Volumes

    Pages 69-135

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    CHAPTER THREE - Tangents and Normals. Length of Arcs. Curvature. Evolutes and Involutes. Envelopes

    Pages 136-227

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    CHAPTER FOUR - Maxima and Minima. Points of Inflexion

    Pages 228-284

  6. Book chapterNo access

    Index

    Page 285

About the book

Description

Applied Calculus, Volume 1 provides information pertinent to the fundamental principles of the calculus to problems that occur in Science and Technology. This book illustrates the use of the calculus to determine the motion of different systems, to find the areas and volumes of certain figures, and to determine the turning points on a curve. Organized into four chapters, this volume begins with an overview of the idea of the slope or gradient of a curve to derive further information from the distance-time graph. This text then examines the notation of the calculus to derive the equations of motion for a particle moving in a straight line with uniform acceleration. Other chapters consider the equation of the tangent of the curve. This book discusses as well the importance of an interval along the curve. The final chapter deals with the maximum and the minimum point on a curve. This book is a valuable resource for students.

Applied Calculus, Volume 1 provides information pertinent to the fundamental principles of the calculus to problems that occur in Science and Technology. This book illustrates the use of the calculus to determine the motion of different systems, to find the areas and volumes of certain figures, and to determine the turning points on a curve. Organized into four chapters, this volume begins with an overview of the idea of the slope or gradient of a curve to derive further information from the distance-time graph. This text then examines the notation of the calculus to derive the equations of motion for a particle moving in a straight line with uniform acceleration. Other chapters consider the equation of the tangent of the curve. This book discusses as well the importance of an interval along the curve. The final chapter deals with the maximum and the minimum point on a curve. This book is a valuable resource for students.

Details

ISBN

978-0-08-011284-8

Language

English

Published

1966

Copyright

Copyright © 1966 Elsevier Ltd. All rights reserved.

Imprint

Pergamon

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Authors

D.J. BELL

Dept. of Mathematics, Bristol College of Science and Technology