The aim of this text is to provide the beginning student or professional with introduction to the topic in an easily understood student friendly manner. It is based on the premise that modeling is as much art as it is science and that mastering the art can only be achieved by sustained practice. To provide that practice, the text contains some 100 odd worked examples as well as numerous practice problems drawn from variety of disciplines. They range from classical examples such as Euler's treatment of the buckling of the strut, to the contemporary topics of silicon chip manufacturing and the dynamics of the human immunodeficiency virus (HIV). Other examples are drawn from mechanical, electrical, chemical and environmental engineering disciplines as well as from the fields of economics, physics and chemistry.
The mathematics required are confined to simple treatment of vector algebra, matrix operations and the solutions of ordinary differential equations. Both analytical and numerical methods are taken up and are described in sufficient detail to serve as a learning tool for the beginner or as a refresher for the informed reader.
The text is designed for 3rd and 4th yr students in all engineering disciplines as well as mathematics, physics and chemistry. It should also serve as a welcome addition to libraries of practicing professionals.
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Descrizione libro Oxford University Press 2002-12-19, 2002. Hardcover. Condizione libro: New. 0195153146 Has stickers on cover. Otherwise in new condition. Over 1,000,000 satisfied customers since 1997! We ship daily M-F. Choose expedited shipping (if available) for much faster delivery. Delivery confirmation on all US orders. Codice libro della libreria Z0195153146ZN
Descrizione libro Oxford University Press, USA, 2002. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0195153146
Descrizione libro Oxford University Press, 2002. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: PrefaceNotation1. Getting Started and Beyond1.1. When Not to ModelExample 1.1. The Challenger Space Shuttle DisasterExample 1.2. Loss of Blood Vessel Patency1.2. Some Initial Tools and Steps1.3. ClosureExample 1.3. Discharge of Plant Effluent into a RiverExample 1.4. Electrical Field Due to a DipoleExample 1.5. Design of a ThermocoupleExample 1.6. Newton''s Law for Systems of Variable Mass: A False Start and the RemedyExample 1.7. Release of a Substance into a Flowing Fluid: Determination of a Mass Transfer CoefficientPractice Problems2. Some Mathematical Tools2.1. Vector Algebra2.1.1. Definition of a Vector2.1.2. Vector Equality2.1.3. Vector Addition and Subtraction2.1.4. Multiplication by a Scalar m2.1.5. The Scalar or Dot Product2.1.6. The Vector or Cross ProductExample 2.1. Distance of a Point from a PlaneExample 2.2. Shortest Distance Between Two LinesExample 2.3. Work as an Application of the Scalar ProductExample 2.4. Extension of the Scalar Product to n Dimensions: A Sale of StocksExample 2.5. A Simple Model Economy2.2. Matrices2.2.1. Types of Matrix2.2.2. The Echelon Form, Rank r2.2.3. Matrix Equality2.2.4. Matrix AdditionExample 2.6. Acquisition Costs2.2.5. Multiplication by a Scalar2.2.6. Matrix MultiplicationExample 2.7. The Product of Two MatricesExample 2.8. Matrix-Vector Representation of Linear Algebraic Equations2.2.7. Elementary Row OperationsExample 2.9. Application of Elementary Row Operations: Algebraic Equivalence2.2.8. Solution of Sets of Linear Algebraic Equations: Gaussian EliminationExample 2.10. An Overspecified System of Equations with a Unique SolutionExample 2.11. A Normal System of Equations with no Solutions2.3. Ordinary Differential Equations (ODEs)Example 2.12. A Population ModelExample 2.13. Newton''s Law of Cooling2.3.1. Order of an ODE2.3.2. Linear and Nonlinear ODEs2.3.3. Boundary and Initial ConditionsExample 2.14. Classification of ODEs and Boundary Conditions2.3.4. Equivalent SystemsExample 2.15. Equivalence of Vibrating Mechanical Systems and an Electrical RLC Circuit2.3.5. Analytical Solution MethodsExample 2.16. Solution of NonLinear ODEs by Separation of VariablesExample 2.17. Mass on a Spring Subjected to a Sinusoidal Forcing FunctionExample 2.18. Application of Inversion ProceduresExample 2.19. The Mass-Spring System Revisited: ResonancePractice Problems3. Geometrical ConceptsExample 3.1. A Simple Geometry Problem: Crossing of a RiverExample 3.2. The Formation of Quasi Crystals and Tilings from Two Quadrilateral PolygonsExample 3.3. Charting of Market Price Dynamics: The Japanese Candlestick MethodExample 3.4. Surveying: The Join Calculation and the Triangulation IntersectionExample 3.5. The Global Positioning System (GPS)Example 3.6. The Orthocenter of a TriangleExample 3.7. Relative Velocity and the Wind TriangleExample 3.8. Interception of an AirplaneExample 3.9. Path of PursuitExample 3.10. Trilinear Coordinates: The Three-Jug ProblemExample 3.11. Inflecting Production Rates and Multiple Steady States: The van Heerden DiagramExample 3.12. Linear Programming: A Geometrical ConstructionExample 3.13. Stagewise Adsorption Purification of Liquids: The Operating DiagramExample 3.14. Supercoiled DNAPractice Problems4. The Effect of Forces4.1. IntroductionExample 4.1. The Stress-Strain Relation: Stored Strain Energy and Stress Due to the Impact of a Falling MassExample 4.2. Bending of Beams: Euler''s Formula for the Buckling of a StrutExample 4.3. Electrical and Magnetic Forces: Thomson''s Determination of e/mExample 4.4. Pressure of a Gas in Terms of Its Molecular Properties: Boyle''s Law and the Ideal Gas Law, Velocity of Gas MoleculesExample 4.5. Path of a ProjectileExample 4.6. The Law of Universal Gravitation: Escape Velocity and Geosynchronous SatellitesExample 4.7. Fluid Forces: Bernoulli''s Equation and the Continuity EquationExample 4.8. Lift Capacity of a Hot Air BalloonExample 4.9. Work and Energy: C. Codice libro della libreria ABE_book_new_0195153146
Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97801951531491.0
Descrizione libro Oxford University Press, 2002. Hardcover. Condizione libro: New. book. Codice libro della libreria 0195153146
Descrizione libro Oxford University Press, 2002. Hardcover. Condizione libro: New. Codice libro della libreria P110195153146