000			02310nam a2200229Ia 4500
003			PH-LCIC
005			20251023162359.0
008			240527s2019 xx 000 0 und d
020			_a9789811210761
040			_cLCIC LIBRARY
082			_aREF 003.3 H11
100			_aM. M. Hafez _eAuthor
245		0	_aIntroduction to computer simulations for integrated STEM college education /
260			_aSingapore : _bWorld Scientific Publishing Co. Pte. Ltd., _c2019.
300			_a 1 online resource (xv, 217 pages) : illustrations
300			_a2975 pages;
520			_a"This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts from Basic Mathematics: Geometry, Algebra and Calculus, Properties of Elementary Functions (Polynomials, Exponential, Hyperbolic and Trigonometric Functions) are studied and simple differential equations representing these functions are derived. Numerical approximations of first and second order differential equations are studied in terms of finite differences on uniform grids. Computer solutions are obtained via recursive relations or solutions of simultaneous algebraic equations. Comparisons with the exact solutions (known a priori) allow the calculations of the error due to discretization. After the students build confidence in this approach, more problems where the solutions are not known a priori are tackled with applications in many fields. Next, the book gradually addresses linear differential equations with variable coefficients and nonlinear differential equations, including problems of bifurcation and chaos. Applications in Dynamics, Solid Mechanics, Fluid Mechanics, Heat Transfer, Chemical Reactions, and Combustion are included. Biographies of 50 pioneering mathematicians and scientists who contributed to the materials of the book are briefly sketched, to shed light on the history of these STEM fields. Finally, the main concepts discussed in the book, are summarized to make sure that the students do not miss any of them. Also, references for further readings are given for interested readers"-- Provided by publisher
650			_a Computer Simulation
650			_asimulation
700			_aWilliam Edward Tavernetti _eAuthor
942			_2ddc _cREF
999			_c2846 _d2846