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Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results.
How to deal with errors in numerical analysisApproaches for solving problems in linear and nonlinear systemsMethods of interpolation and approximation of functionsFormulas and calculations for numerical differentiation and integrationIntegration of ordinary and partial differential equationsOptimization methods and solutions for programming problems
1 Errors in Numerical Analysis 12 Solution of Equations 173 Solution of Algebraic Equations 554 Linear Algebra 1115 Solution of Systems of Nonlinear Equations 2736 Interpolation and Approximation of Functions 3077 Numerical Differentiation and Integration 3778 Integration of Ordinary Differential Equations and of Systems of Ordinary Differential Equations 4519 Integration of Partial Differential Equations and of Systems of Partial Differential Equations 52910 Optimizations 577
Petre Teodorescu :- PETRE TEODORESCU, PhD, is a Professor in the Faculty of Mathematics and Computer Science at the University of Bucharest in Romania and the author of 250 papers and twenty-eight books.Nicolae Pandrea :- NICOLAE PANDREA, PhD, is a Professor in the Faculty of Mechanics and Technology at the University of Piteşti in Romania and the author of 250 papers and six books.Nicolae- Doru Stanescu :- NICOLAE-DORU STANESCU, PhD, is a Professor in the Faculty of Mechanics and Technology at the University of Piteşti in Romania and the author of 200 papers and ten books.