{"product_id":"introductory-mathematics-for-engineering-applications","title":"Introductory Mathematics for Engineering Applications","description":"\u003cp\u003ePreface vi\u003c\/p\u003e \u003cp\u003eAcknowledgement viii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Straight Lines In Engineering 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Vehicle during Braking 1\u003c\/p\u003e \u003cp\u003e1.2 Voltage–Current Relationship in a Resistive Circuit 3\u003c\/p\u003e \u003cp\u003e1.3 Force–Displacement in a Preloaded Tension Spring 6\u003c\/p\u003e \u003cp\u003e1.4 Further Examples of Lines in Engineering 7\u003c\/p\u003e \u003cp\u003eProblems 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Quadratic Equations In Engineering 31\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 A Projectile in a Vertical Plane 31\u003c\/p\u003e \u003cp\u003e2.2 Current in a Lamp 35\u003c\/p\u003e \u003cp\u003e2.3 Equivalent Resistance 36\u003c\/p\u003e \u003cp\u003e2.4 Further Examples of Quadratic Equations in Engineering 38\u003c\/p\u003e \u003cp\u003eProblems 50\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Trigonometry In Engineering 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 61\u003c\/p\u003e \u003cp\u003e3.2 One-Link Planar Robot 61\u003c\/p\u003e \u003cp\u003e3.2.1 Kinematics of One-Link Robot 61\u003c\/p\u003e \u003cp\u003e3.2.2 Inverse Kinematics of One-Link Robot 69\u003c\/p\u003e \u003cp\u003e3.3 Two-Link Planar Robot 73\u003c\/p\u003e \u003cp\u003e3.3.1 Direct Kinematics of Two-Link Robot 74\u003c\/p\u003e \u003cp\u003e3.3.2 Inverse Kinematics of Two-Link Robot 76\u003c\/p\u003e \u003cp\u003e3.3.3 Further Examples of Two-Link Planar Robot 81\u003c\/p\u003e \u003cp\u003e3.4 Further Examples of Trigonometry in Engineering 91\u003c\/p\u003e \u003cp\u003eProblems 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Two-Dimensional Vectors In Engineering 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 107\u003c\/p\u003e \u003cp\u003e4.2 Position Vector in Rectangular Form 108\u003c\/p\u003e \u003cp\u003e4.3 Position Vector in Polar Form 108\u003c\/p\u003e \u003cp\u003e4.4 Vector Addition 111\u003c\/p\u003e \u003cp\u003e4.4.1 Examples of Vector Addition in Engineering 112\u003c\/p\u003e \u003cp\u003eProblems 124\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Complex Numbers In Engineering 134\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 134\u003c\/p\u003e \u003cp\u003e5.2 Position of One-Link Robot as a Complex Number 135\u003c\/p\u003e \u003cp\u003e5.3 Impedance of \u003ci\u003eR\u003c\/i\u003e, \u003ci\u003eL\u003c\/i\u003e, and \u003ci\u003eC \u003c\/i\u003eas a Complex Number 136\u003c\/p\u003e \u003cp\u003e5.3.1 Impedance of a Resistor \u003ci\u003eR \u003c\/i\u003e136\u003c\/p\u003e \u003cp\u003e5.3.2 Impedance of an Inductor \u003ci\u003eL \u003c\/i\u003e136\u003c\/p\u003e \u003cp\u003e5.3.3 Impedance of a Capacitor \u003ci\u003eC \u003c\/i\u003e137\u003c\/p\u003e \u003cp\u003e5.4 Impedance of a Series RLC Circuit 137\u003c\/p\u003e \u003cp\u003e5.5 Impedance of \u003ci\u003eR \u003c\/i\u003eand \u003ci\u003eL \u003c\/i\u003eConnected in Parallel 139\u003c\/p\u003e \u003cp\u003e5.6 Armature Current in a DC Motor 141\u003c\/p\u003e \u003cp\u003e5.7 Further Examples of Complex Numbers in Electric Circuits 143\u003c\/p\u003e \u003cp\u003e5.8 Complex Conjugate 148\u003c\/p\u003e \u003cp\u003eProblems 149\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Sinusoids In Engineering 160\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 One-Link Planar Robot as a Sinusoid 160\u003c\/p\u003e \u003cp\u003e6.2 Angular Motion of the One-Link Planar Robot 163\u003c\/p\u003e \u003cp\u003e6.2.1 Relations between Frequency and Period 164\u003c\/p\u003e \u003cp\u003e6.3 Phase Angle, Phase Shift, and Time Shift 165\u003c\/p\u003e \u003cp\u003e6.4 General Form of a Sinusoid 167\u003c\/p\u003e \u003cp\u003e6.5 Addition of Sinusoids of the Same Frequency 169\u003c\/p\u003e \u003cp\u003eProblems 176\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Systems of Equations In Engineering 188\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 188\u003c\/p\u003e \u003cp\u003e7.2 Solution of a Two-Loop Circuit 188\u003c\/p\u003e \u003cp\u003e7.3 Tension in Cables 193\u003c\/p\u003e \u003cp\u003e7.4 Further Examples of Systems of Equations in Engineering 196\u003c\/p\u003e \u003cp\u003eProblems 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Derivatives In Engineering 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 223\u003c\/p\u003e \u003cp\u003e8.1.1 What Is a Derivative? 223\u003c\/p\u003e \u003cp\u003e8.2 Maxima and Minima 226\u003c\/p\u003e \u003cp\u003e8.3 Applications of Derivatives in Dynamics 230\u003c\/p\u003e \u003cp\u003e8.3.1 Position, Velocity, and Acceleration 230\u003c\/p\u003e \u003cp\u003e8.4 Applications of Derivatives in Electric Circuits 245\u003c\/p\u003e \u003cp\u003e8.4.1 Current and Voltage in an Inductor 248\u003c\/p\u003e \u003cp\u003e8.4.2 Current and Voltage in a Capacitor 252\u003c\/p\u003e \u003cp\u003e8.5 Applications of Derivatives in Strength of Materials 255\u003c\/p\u003e \u003cp\u003e8.5.1 Maximum Stress under Axial Loading 261\u003c\/p\u003e \u003cp\u003e8.6 Further Examples of Derivatives in Engineering 265\u003c\/p\u003e \u003cp\u003eProblems 270\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Integrals In Engineering 282\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction: The Asphalt Problem 282\u003c\/p\u003e \u003cp\u003e9.2 Concept of Work 287\u003c\/p\u003e \u003cp\u003e9.3 Application of Integrals in Statics 290\u003c\/p\u003e \u003cp\u003e9.3.1 Center of Gravity (Centroid) 290\u003c\/p\u003e \u003cp\u003e9.3.2 Alternate Definition of the Centroid 298\u003c\/p\u003e \u003cp\u003e9.4 Distributed Loads 300\u003c\/p\u003e \u003cp\u003e9.4.1 Hydrostatic Pressure on a Retaining Wall 301\u003c\/p\u003e \u003cp\u003e9.4.2 Distributed Loads on Beams: Statically Equivalent Loading 302\u003c\/p\u003e \u003cp\u003e9.5 Applications of Integrals in Dynamics 307\u003c\/p\u003e \u003cp\u003e9.5.1 Graphical Interpretation 313\u003c\/p\u003e \u003cp\u003e9.6 Applications of Integrals in Electric Circuits 319\u003c\/p\u003e \u003cp\u003e9.6.1 Current, Voltage, and Energy Stored in a Capacitor 319\u003c\/p\u003e \u003cp\u003e9.7 Current and Voltage in an Inductor 328\u003c\/p\u003e \u003cp\u003e9.8 Further Examples of Integrals in Engineering 333\u003c\/p\u003e \u003cp\u003eProblems 342\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Differential Equations In Engineering 354\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction: The Leaking Bucket 354\u003c\/p\u003e \u003cp\u003e10.2 Differential Equations 355\u003c\/p\u003e \u003cp\u003e10.3 Solution of Linear DEQ with Constant Coefficients 356\u003c\/p\u003e \u003cp\u003e10.4 First-Order Differential Equations 357\u003c\/p\u003e \u003cp\u003e10.5 Second-Order Differential Equations 383\u003c\/p\u003e \u003cp\u003e10.5.1 Free Vibration of a Spring–Mass System 383\u003c\/p\u003e \u003cp\u003e10.5.2 Forced Vibration of a Spring–Mass System 387\u003c\/p\u003e \u003cp\u003e10.5.3 Second-Order LC Circuit 394\u003c\/p\u003e \u003cp\u003eProblems 397\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Probability and Statistics In Engineering 409\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 409\u003c\/p\u003e \u003cp\u003e11.2 Quality Control Probability in Manufacturing 409\u003c\/p\u003e \u003cp\u003e11.3 Manufacturing Tolerance of Resistors 412\u003c\/p\u003e \u003cp\u003e11.4 Probability of Accepting\/Rejecting Manufactured Resistors 414\u003c\/p\u003e \u003cp\u003eProblems 420\u003c\/p\u003e \u003cp\u003eAnswers To Selected Problems P-1\u003c\/p\u003e \u003cp\u003eIndex I-1\u003c\/p\u003e","brand":"Craig M. 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