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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9780849386367
· 쪽수 : 304쪽
목차
Introduction: Mathematical Modelling. Boundary Value Problems. Direction Fields. Finding Zeros. Exercises.
First Order Differential Equations: Population Growth: The Malthus Model. Least Squares Method of Curve Fitting. Population Growth: The Logistic Model. Harvesting. Optimization of Profit. Epidemics. Potato Blight. Free Fall with Air Resistance. Power. Rockets. Exercises. Projects. Mathematical Background.
Numerical Methods: Existence Theorem. Euler Algorithm. Error Analysis. Runge-Kutta Algorithm. Fruitflies. Exercises. Projects. Mathematical Background.
Laplace Transforms: Linear Transforms. Properties of Laplace Transforms. Solving Differential Equations with Laplace Transforms. Table of Laplace Transforms. Exercises. Projects. Mathematical Background.
Simultaneous Linear First Order Differential Equations: Projectile Trajectories with Air Resistance. Romantic Relationships. Neutron Flow. Electrical Networks. Marriage. Residential Segregation. Exercises. Projects. Mathematical Background.
Second Order Linear Differential Equations: Mechanical Vibrations. Electrical Networks. The Ignition System of an Automobile. Simultaneous Equations. Exercises. Projects. Mathematical Background.
Non-Linear Second Order Differential Equations: The Pendulum without Damping. The Pendulum with Damping. Population of Interacting Species. Exercises. Mathematical Background. Table of Integrals. Answers. References. Index.