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Introduction to Statics | |
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Mechanics | |
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Basic Concepts | |
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Scalars and Vectors | |
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Conventions for Equations and Diagrams | |
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Working with Vectors | |
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Newton's Laws | |
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Units | |
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SI Units | |
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U.S. Customary Units | |
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Primary Standards | |
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Unit Conversions | |
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Law of Gravitation | |
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Gravitational Attraction of the Earth | |
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Accuracy, Limits, and Approximations | |
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Differentials | |
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Small-Angle Approximations | |
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Problem Solving in Statics | |
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Making Appropriate Assumptions | |
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Using Graphics | |
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Formulating Problems and Obtaining Solutions | |
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The Free-Body Diagram | |
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Numerical Values versus Symbols | |
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Solution Methods | |
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Chapter Review | |
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Force Systems | |
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Introduction | |
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Force | |
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External and Internal Effects | |
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Principle of Transmissibility | |
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Force Classification | |
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Action and Reaction | |
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Concurrent Forces | |
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Vector Components | |
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A Special Case of Vector Addition | |
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Two-Dimensional Force Systems | |
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Rectangular Components | |
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Conventions for Describing Vector Components | |
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Determining the Components of a Force | |
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Moment | |
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Moment about a Point | |
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The Cross Product | |
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Varignon's Theorem | |
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Couple | |
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Vector Algebra Method | |
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Equivalent Couples | |
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Force-Couple Systems | |
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Resultants | |
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Algebraic Method | |
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Principle of Moments | |
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Three-Dimensional Force Systems | |
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Rectangular Components | |
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Dot Product | |
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Angle between Two Vectors | |
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Moment and Couple | |
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Moments in Three Dimensions | |
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Evaluating the Cross Product | |
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Moment about an Arbitrary Axis | |
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Varignon's Theorem in Three Dimensions | |
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Couples in Three Dimensions | |
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Resultants | |
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Chapter Review | |
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Equilibrium | |
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Introduction | |
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Equilibrium in two Dimensions | |
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System Isolation and the Free-Body Diagram | |
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Modeling the Action of Forces | |
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Construction of Free-BodyDiagrams | |
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Examples of Free-Body Diagrams | |
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Equilibrium Conditions | |
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Categories of Equilibrium | |
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Two- and Three-Force Members | |
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Alternative Equilibrium Equations | |
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Constraints and Statical Determinancy | |
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Adequacy of Constraints | |
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Approach to Solving Problems | |
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Equilibrium in Three Dimensions | |
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Equilibrium Conditions | |
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Free-Body Diagrams | |
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Categories of Equilibrium | |
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Constraints and Statical Determinancy | |
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Chapter Review | |
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Structures | |
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Introduction | |
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Plane Trusses | |
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Simple Trusses | |
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Truss Connections and Supports | |
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Method of Joints | |
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Internal and External Redundancy | |
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Special Conditions | |
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Method of Sections | |
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Illustration of the Method | |
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Additional Considerations | |
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Space Trusses | |
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Statically Determinate Space Trusses | |
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Method of Joints for Space Trusses | |
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Method of Sections for Space Trusses | |
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Frames and Machines | |
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Interconnected Rigid Bodies with Multiforce Members | |
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Force Representation and Free-Body Diagrams | |
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Chapter Review | |
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Distributed Forces | |
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Introduction | |
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Centers of Mass and Centroids | |
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Center of Mass | |
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Determining the Center of Gravity | |
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Center of Mass versus Center of Gravity | |
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Centroids of Lines, Areas, and Volumes | |
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Choice of Element for Integration | |
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Composite Bodies and Figures; Approximations | |
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An Approximation Method | |
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Irregular Volumes | |
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Theorems of Pappus | |
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Special Topics | |
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Beams-External Effects | |
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Types of Beams | |
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Distributed Loads | |
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Beams-Internal Effects | |
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Shear, Bending, and Torsion | |
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Shear-Force and Bending-Moment Diagrams | |
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General Loading, Shear, and Moment Relationships | |
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Flexible Cables | |
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General Relationships | |
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Parabolic Cable | |
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Catenary Cable | |
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Fluid Statics | |
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Fluid Pressure | |
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Hydrostatic Pressure on Submerged Rectangular Surfaces | |
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Hydrostatic Pressure on Cylindrical Surfaces | |
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Hydrostatic Pressure on Flat Surfaces of Any Shape | |
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Buoyancy | |
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Chapter Review | |
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Friction | |
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Introduction | |
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Frictional Phenomena | |
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Types of Friction | |
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Dry Friction | |
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Mechanism of Dry Friction | |
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Static Friction | |
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Kinetic Friction | |
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Friction Angles | |
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Factors Affecting Friction | |
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Types of Friction Problems | |
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Applications of Friction in Machines | |
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Wedges | |
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Screws | |
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Force Analysis | |
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Conditions for Unwinding | |
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Journal Bearings | |
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Thrust Bearings; Disk Friction | |
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Flexible Belts | |
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Rolling Resistance | |
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Chapter Review | |
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Virtual Work | |
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Introduction | |
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Work | |
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Work of a Force | |
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Work of a Couple | |
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Dimensions of Work | |
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Virtual Work | |
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Equilibrium | |
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Equilibrium of a Particle | |
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Equilibrium of a Rigid Body | |
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Equilibrium of Ideal Systems of Rigid Bodies | |
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Principle of Virtual Work | |
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Degrees of Freedom | |
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Systems with Friction | |
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Mechanical Efficiency | |
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Potential Energy and Stability | |
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Elastic Potential Energy | |
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Gravitational Potential Energy | |
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Energy Equation | |
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Active-Force Diagrams | |
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Principle of Virtual Work | |
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Stability of Equilibrium | |
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Chapter Review | |
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Appendices | |
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Area Moments of Inertia | |
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Introduction | |
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Definitions | |
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Rectangular and Polar Moments of Inertia | |
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Radius of Gyration | |
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Transfer of Axes | |
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Composite Areas | |
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Products of Inertia and Rotation of Axes | |
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Definition | |
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Transfer of Axes | |
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Rotation of Axes | |
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Mohr's Circle of Inertia | |
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Mass Moments of Inertia | |
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Selected Topics of Mathematics | |
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Introduction | |
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Plane Geometry | |
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Solid Geometry | |
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Algebra | |
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Analytic Geometry | |
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Trigonometry | |
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Vector Operations | |
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Series | |
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Derivatives | |
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Integrals | |
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Newton's Method for Solving Intractable Equations | |
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Selected Techniques for Numerical Integration | |
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Useful Tables | |
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Physical Properties | |
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Solar System Constants | |
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Properties of Plane Figures | |
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Properties of Homogeneous Solids | |
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Index | |