Applied Mathematics 3rd Edition Malik Drummond
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Description
Applied Mathematics: Made Simple provides an elementary study of the three main branches of classical applied mathematics: statics, hydrostatics, and dynamics. The book begins with discussion of the concepts of mechanics, parallel forces and rigid bodies, kinematics, motion with uniform acceleration in a straight line, and Newton's law of motion. Separate chapters cover vector algebra and coplanar motion, relative motion, projectiles, friction, and rigid bodies in equilibrium under the action of coplanar forces. The final chapters deal with machines and hydrostatics. The standard and content of the book covers C.S.E. and 'O' level G.C.E. examinations in Applied Mathematics and Mechanics as well as the relevant parts of the syllabuses for Physics and General Science courses related to Engineering, Building, and Agriculture. The book is also written for the home study reader who is interested in widening his mathematical appreciation or simply reviving forgotten ideas. The author hopes that the style of presentation will be found sufficiently attractive to recapture those who may at one time have lost interest.
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Foreword
1 Mechanics
(1) Rigid Bodies
(2) Characteristics of a Force
(3) Measuring Force with a Spring
(4) Mass and Weight
(5) The Unit of Force
(6) Newton's Third Law
(7) Simple Force Diagrams
(8) Bodies in Equilibrium
2 Parallel Forces and Rigid Bodies
(1) Turning Effect of a Force
(2) The Beam Balance
(3) Calculation of Moments
(4) Resultant of Two Parallel Forces
(5) Center of Gravity
(6) Composite Figures
(7) Solid Figures
3 Kinematics
(1) Speed and Velocity
(2) Speed-Time Formula
(3) Distance-Time Graphs
(4) Non-uniform Speeds
(5) Speed-Time Graphs
4 Motion with Uniform Acceleration in a Straight Line
(1) Acceleration
(2) Equations of Motion
(3) Acceleration due to Gravity
(4) Falling Bodies and Equations of Motion
5 Newton's Laws of Motion
(1) Momentum
(2) The First Law
(3) The Second Law
(4) Impulse of a Force
(5) The Third Law
6 An Introduction to Vectors
(1) Revision of Trigonometry
(2) Sine rule and Cosine rule
(3) Vector Quantities
(4) Vector Addition
(5) Resultant of Three Vectors
7 Vector Algebra and Coplanar Forces
(1) Addition and Subtraction
(2) Distributive Law and Associative Law
(3) Vectors in Elementary Geometry
(4) The Polygon of Forces
(5) Non-concurrent Vectors
(6) Resolution of Vectors
(7) Resolving Non-concurrent Vectors
(8) Locating the Line of Action
8 Relative Motion
(1) Latitude and Longitude
(2) Finding Latitude
(3) Finding Longitude
(4) Course Calculations
(5) Moving Reference Point
(6) Positions of Closest Approach
9 Projectiles
(1) Vector Components
(2) Acceleration
(3) Equations of Motion
(4) General Equations for Projectile Motion
(5) Motion Down an Inclined Plane
(6) Motion Down a Chord of a Circle
(7) Lines of Quickest Descent
10 Friction
(1) Force of Friction
(2) Experimental Investigation of Static Friction
(3) Motive Force at an Angle to the Slope
(4) Toppling before Sliding
(5) Stable and Unstable Equilibrium
(6) Freely Hanging Load
11 Rigid Bodies in Equilibrium under the Action of Coplanar Forces
(1) Point of Concurrency
(2) Force Normal to a Surface
(3) Frictional Force and Normal Reaction
(4) Equilibrium of a Body under the Action of More than Three Forces
12 Work, Energy, and Power
(1) Work
(2) Kinetic Energy
(3) Motion at an Angle to the Force Producing it
(4) Potential Energy
(5) Conservation of Energy
(6) Momentum
(7) Power
13 Machines
(1) Mechanical Advantage
(2) Levers
(3) Wheel and Axle
(4) Velocity Ratio
(5) Inclined Plane
(6) Pulleys
(7) The Law of the Machine
14 Hydrostatics I: Density, Relative Density, and Buoyancy
(1) Density
(2) Mixtures
(3) The Relative-density Bottle
(4) Archimedes' Principle
(5) The Hydrometer
(6) Buoyancy and Equilibrium
15 Hydrostatics II: Liquid Pressure
(1) Fundamental Principles
(2) Pascal's Law
(3) Pressure due to Weight of Liquid
(4) Hydraulic Machines
(5) Horizontal Thrust in a Liquid
16 Hydrostatics III: Barometers and Boyles' Law
(1) Atmospheric Pressure
(2) Pressure of a Gas
(3) Hare's Apparatus
(4) Boyle's Law
(5) Pumps
(6) The Siphon
Tables
Logarithms
Antilogarithms
Natural Sines
Natural Cosines
Natural Tangents
Squares
Square Roots
Reciprocals
SI Units and Abbreviations
Answers
Index
Details
- No. of pages:
- 352
- Language:
- English
- Copyright:
- © Butterworth-Heinemann 1982
Project At the end of the course each student has to submit a research project based on the material learned during the course. Students can choose either to work on a project individually or in a team of 2 to 4 students. Applied Mathematics 3Rd Edition Malik Zaire. 6/3/2017 0 Comments 9944 Essentials of Using and Understanding Mathematics - A Quantitative. Of The Human Family - Particularly Applied To This Nation And. DEIGHTON BELL AND CO. For the use of Theological Students and Ministers. The late Hknry Ai. D., Dean of Canterbury.
- Published:
- 1st January 1982
- Imprint:
- Butterworth-Heinemann
- eBook ISBN:
- 9781483141961
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This item: Mine Ventilation and Air Conditioning, 3rd Edition
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Table of contents
Environmental Control of the Mine Atmosphere.
Properties and Behavior of Air.
MINE AIR-QUALITY CONTROL.
Mine Gases.
Dusts and Other Mine Aerosols.
MINE VENTILATION.
Airflow Through Mine Openings and Ducts.
Mine Ventilation Circuits and Networks.
Natural Ventilation.
Fan Application to Mines.
Auxiliary Ventilation and Controlled Recirculation.
Economics of Airflow.
Control of Mine Fires and Explosions.
MINE AIR CONDITIONING.
Heat Sources and Effect in Mines.
Mine Air Conditioning Systems.
Appendices.
References.
Answers to Selected Problems.
Index.