Here is the listing of Best reference books on Numerical Methods.
|1. “The Algebraic Eigenvalue Problem” by J. H. Wilkinson
Book Review: This is the most widely used textbook in the field of numerical analysis. The book stresses more on the knowledge transmission rather than the elaborate proofs. This book is of great use to the practicing numerical analysts, students and researchers in the field of numerical analysis, engineers and scientists. The book also discusses the questions of sensitivity, economy and stability of many numerical methods in a manner that is accessible to all the engineers and scientists.
|2. “An Introduction to Numerical Analysis” by K.E. Atkinson
Book Review: This book sticks to the organization of original edition but the other sections in the book. The various topics in the book include optimization, trigonometric interpolation and fast fourier transform, numerical differentiation, method of lines, boundary value problems, conjugate gradient method and the least squares solutions of systems of linear equations. The book also contains numerous problems with solutions. The bibliographies in the book have also been updated.
|3. “Matrix Computations” by G. E. Golub and C.F. Van Loan
Book Review: The book provides information about the algorithmic skills and mathematical background that is required for the production of numerical software. The book also contains refined chapters on matrix multiplication problems, parallel matrix computations, CS decomposition, floating point arithmetic, modified gram-schmidt process and many other methods that are designed to handle sparse unsymmetric linear system problems. This book is useful for workers in numerical linear algebra. The book also contains new topics like arnoldi iteration, domain decomposition methods and hyperbolic downdating.
Sanfoundry Global Education & Learning Series – Best Reference Books!