Mathematical ModellingEach Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques. Thus There Are Chapters On Mathematical Modelling Through Algebra, Geometry, Trigonometry And Calculus, Through Ordinary Differential Equations Of First And Second Order, Through Systems Of Differential Equations, Through Difference Equations, Through Partial Differential Equations, Through Functional Equations And Integral Equations, Through Delay-Differential, Differential-Difference And Integro-Differential Equations, Through Calculus Of Variations And Dynamic Programming, Through Graphs, Through Mathematical Programming, Maximum Principle And Maximum Entropy Principle.Each Chapter Contains Mathematical Models From Physical, Biological, Social, Management Sciences And Engineering And Technology And Illustrates Unity In Diversity Of Mathematical Sciences.The Book Contains Plenty Of Exercises In Mathematical Modelling And Is Aimed To Give A Panoramic View Of Applications Of Modelling In All Fields Of Knowledge. It Contains Both Probabilistic And Deterministic Models.The Book Presumes Only The Knowledge Of Undergraduate Mathematics And Can Be Used As A Textbook At Senior Undergraduate Or Post-Graduate Level For A One Or Two- Semester Course For Students Of Mathematics, Statistics, Physical, Social And Biological Sciences And Engineering. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modellers. |
Contents
Need Techniques | 1 |
Mathematical Modelling Through Ordinary Differential | 30 |
Mathematical Modelling Through Systems of Ordinary | 53 |
Mathematical Modelling Through Ordinary Differential | 76 |
30 | 81 |
Mathematical Modelling Through Difference Equations | 96 |
Mathematical Modelling Through Partial | 124 |
Mathematical Modelling Through Graphs | 151 |
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Common terms and phrases
age-group algebraic graph balanced boundary conditions Calculus of Variations central force component constant corresponding curve denote difference equation digraph directed edge Discuss dx dy dx/dt dynamic eigenvalue elements entropy equation models EXERCISE expected number fixed points fluid functional equation given gives integral equation interval Laplace Laplace transform Laplace's equation linear programming mass Mathematical Modelling matrix maximize maximum entropy maximum value minimize minimum models in terms motion negative non-linear number of females number of steps orbit ordinary differential equations p₁ parabola parallelopiped partial differential equation particle period planet population proportional represents satisfies Show signed graph situation solution solve species stable surface techniques theorem tion Transform Pairs unit variables vector velocity vertex vertices weighted digraph x₁ y₁ zero Δι