Stoyan, Gisbert. creator author. aut http://id.loc.gov/vocabulary/relators/aut Baran, Agnes. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 2nd ed. 2024. monographic eng

electronic

electronic resource

access XIV, 301 p. 39 illus., 23 illus. in color. online resource. This book covers the basics of numerical methods. Avoiding the definition-theorem-proof style, it instead focuses on numerical examples and simple pseudo-codes. The text begins with a chapter on floating point arithmetic before moving on to discuss norms, conditions numbers, solutions of systems of equations, the least squares problem, eigenvalue problems, interpolation, numerical integration, ordinary differential equations, optimization (including a detailed case study), and practical error estimations. Exercises (partly in MATLAB) are provided at the end of each chapter. Suitable for readers with minimal mathematical knowledge, the book not only offers an elementary introduction to numerical mathematics for programmers and engineers but also provides supporting material for students and teachers of mathematics. - Floating Point Arithmetic -- Norms, Condition Numbers -- Solving Systems of Linear Equations -- The Least Squares Problem -- Eigenvalue Problems -- Interpolation -- Nonlinear Equations and Systems -- Numerical Integration -- Ordinary Differential Equations -- Optimization -- Practical Error Estimation. by Gisbert Stoyan, Agnes Baran. Numerical analysis Algorithms Mathematics Data processing Computer software Mathematical models Numerical Analysis Algorithms Computational Science and Engineering Mathematical Software Mathematical Modeling and Industrial Mathematics QA297-299.4 9783031660894 https://doi.org/10.1007/978-3-031-66089-4 https://doi.org/10.1007/978-3-031-66089-4 240915 20251030113043.0 978-3-031-66089-4