eBook Download

BOOK EXCERPT:

These Lecture Slide Notes have been used over the past several years for a two-quarter graduate level sequence in numerical analysis. Part 1 covers introductory material on the Nature of Numerical Analysis, Root Finding Techniques, Polynomial Interpolation, Derivatives, and Integrals. Part 2 covers Ordinary Differential Equations and Numerical solutions to Linear Systems of Equations. Each slide stands alone to encapsulate a complete concept, algorithm, or theorem using a combination of equations, graphs, diagrams, illustrative tableaus, and comparison tables. The explanatory notes are placed directly below each slide in order to reinforce and give additional insight into the particular numerical technique or concept illustrated in the slide. Students have found this "Lecture Slide Note" format to be extremely useful in reviewing the concepts in preparation for an exam. This format is convenient for self-study; it covers the subject matter in a concise and easily accessible form using many visualizations. The Table of Contents serves to organize the slides in terms of the main numerical analysis topics covered and gives a complete list of slide Titles and their page numbers. A selection of Illustrative MatLab scripts is given in Appendix A. Finally, references to a number of standard text books are given, but there has been no attempt to make an exhaustive bibliography.

Product Details :

Genre: Numerical analysis
Author: Ralph E. Morganstern
Publisher: CreateSpace
Release: 2014-11-03
File: 176 Pages
ISBN-13: 1503071154

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

Product Details :

Genre: Mathematics
Author: Walter Gautschi
Publisher: Springer Science & Business Media
Release: 2011-12-07
File: 588 Pages
ISBN-13: 9780817682590

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.

Product Details :

Genre: Mathematics
Author: John J.H. Miller
Publisher: Elsevier
Release: 2012-12-02
File: 280 Pages
ISBN-13: 9780323141345

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

The purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I.The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities. While the subject matter known as `Calculus 1' is more or less standard, and concerns real functions of real variables, the topics of a course on `Calculus 2'can vary a lot, resulting in a bigger flexibility. For these reasons the Authors tried to cover a wide range of subjects, not forgetting that the number of credits the current programme specifications confers to a second Calculus course is not comparable to the amount of content gathered here. The reminders disseminated in the text make the chapters more independent from one another, allowing the reader to jump back and forth, and thus enhancing the versatility of the book. On the website: http://calvino.polito.it/canuto-tabacco/analisi 2, the interested reader may find the rigorous explanation of the results that are merely stated without proof in the book, together with useful additional material. The Authors have completely omitted the proofs whose technical aspects prevail over the fundamental notions and ideas. The large number of exercises gathered according to the main topics at the end of each chapter should help the student put his improvements to the test. The solution to all exercises is provided, and very often the procedure for solving is outlined.

Product Details :

Genre: Mathematics
Author: Claudio Canuto
Publisher: Springer Science & Business Media
Release: 2011-01-01
File: 543 Pages
ISBN-13: 884701784X

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.

Product Details :

Genre: Mathematics
Author: Robert Dautray
Publisher: Springer Science & Business Media
Release: 1999-11-23
File: 590 Pages
ISBN-13: 3540660984

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

Engineering Mathematic

Product Details :

Genre: Mathematics
Author: Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.
Publisher: S. Chand Publishing
Release:
File: Pages
ISBN-13: 9789352830312

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

Product Details :

Genre: Mathematics
Author: Philippe G. Ciarlet
Publisher: North-Holland is
Release: 1990
File: 974 Pages
ISBN-13: UOM:39015046538065

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

This book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulted as dynamical systems and the convergence and stability properties of the methods are examined. Topics studied include the stability of numerical methods for contractive, dissipative, gradient and Hamiltonian systems together with the convergence properties of equilibria, periodic solutions and strage attractors under numerical approximation. This book will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems.

Product Details :

Genre: Mathematics
Author: Andrew Stuart
Publisher: Cambridge University Press
Release: 1998-11-28
File: 685 Pages
ISBN-13: 0521645638

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

First published in 1961, this book provides information on the methods of treating series of observations, the field covered embraces portions of both statistics and numerical analysis. Originally intended as an introduction to the topic aimed at students and graduates in physics, the types of observation discussed reflect the standard routine work of the time in the physical sciences. The text partly reflects an aim to offer a better balance between theory and practice, reversing the tendency of books on numerical analysis to omit numerical examples illustrating the applications of the methods. This book will be of value to anyone with an interest in the theoretical development of its field.

Product Details :

Genre: Mathematics
Author: P. G. Guest
Publisher: Cambridge University Press
Release: 2012-12-13
File: 438 Pages
ISBN-13: 9781107646957

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>




eBook Download

BOOK EXCERPT:

Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to ...

Product Details :

Genre: Numerical analysis
Author: Royal Irish Academy
Publisher: Academic Press
Release: 1975
File: 266 Pages
ISBN-13: UOM:39015015733598

#1 eBook Free in [pdf] [kindle] [epub] [tuebl] [mobi] [audiobook], #1 New Release 2020 >>