Chapra, Steven C. creator author. Clough, David E. author. text bibliography nyu 2022 First edition. monographic eng

print

xiii, 652 pages ; 28 cm. "When we first learned to use computers as students in the 1960s, Fortran was the language of choice for most engineering and scientific computations. Over the ensuing half century, numerous other languages have proven useful for implementing the numerical calculations that are so valuable to our research and teaching. Along with a succession of improved Fortran versions, other languages such as Algol, Basic, Pascal, and C/C++ have all found their way into our computational toolbox. The basic content, organization, and pedagogy of this book is like our other numerical methods textbooks. In particular, a conversational writing style is intentionally maintained in order to make the book easier to read. This book tries to speak directly to the reader and is designed in part to be a tool for self-teaching. As such, we also believe it will have value outside the classroom for professionals desiring to gain proficiency in both numerical methods and Python"-- Part One. Modeling, computers, and error analysis -- Mathematical modeling, numerical methods, and problem solving -- Python fundamentals -- Programming in python -- Roundoff and truncation errors -- Part Two. Roots and optimization -- Roots: bracketing methods -- Roots: open methods -- Optimization -- Part Three. Linear systems -- Linear algebraic equations and matrices -- Gauss elimination -- LU factorization -- Matrix inverse and condition -- Iterative methods -- Eigenvalues -- Part Four. Curve fitting -- Straight-line linear regression -- General linear and nonlinear regression -- Fourier analysis -- Polynomial interpolation -- Splines and piecewise interpolation -- Part Five. Integration and differentiation -- Numerical integration formulas -- Numerical integration of functions -- Numerical differentiation -- Part Six. Ordinary differential equations -- Initial-value problems -- Adaptive methods and stiff systems -- Boundary-value problems. Ages 18+ McGrawHill Education Grades 10-12 McGrawHill Education juvenile Steven C. Chapra and David E. Clough. Includes bibliographical references and index. Engineering Data processing Science Data processing Python (Computer program language) Numerical analysis TA335 .C53 2022 518.02855133 C368a Chapra, Steven C. New York, NY : McGrawHill Education, 2022. First edition (DLC) 2021004712 2021004711 DLC 210209 20260708145442.0 21898145 eng