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Lectures on Numerical Mathematics

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 689/5 ( reviews)

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Book Synopsis Lectures on Numerical Mathematics by : H. Rutishauser

Download or read book Lectures on Numerical Mathematics written by H. Rutishauser. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zurich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the funda mentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares prob lems, interpolation by polynomials, numerical quadrature, and approxima tion by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equa tions, the iterative solution of linear equations, and a discussion of eigen value problems. In addition, there is an appendix dealing with the qd algorithm and with an axiomatic treatment of computer arithmetic.

Numerical Mathematics

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Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 664/5 ( reviews)

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Book Synopsis Numerical Mathematics by : Günther Hämmerlin

Download or read book Numerical Mathematics written by Günther Hämmerlin. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: This English translation of the highly successful German textbook Numerische Mathematik covers the usual classical topics of numerical analysis, and also includes an up-to-date treatment of both splines and linear optimization methods. The text is designed to be used in a first course in numerical analysis at the upper division undergraduate level or at the beginning graduate level. It features a careful balance between mathematical rigor and numerical insight and includes many worked out numerical examples. Each section concludes with an extensive set of exercises which instructors should find useful in helping students to master the material. Moreover, the authors have also provided carefully researched historical notes which will be of particular interest to experts as well as students.

Concise Numerical Mathematics

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Author :
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 145/5 ( reviews)

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Book Synopsis Concise Numerical Mathematics by : Robert Plato

Download or read book Concise Numerical Mathematics written by Robert Plato. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: "The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science. In general, the author assumes only a knowledge of calculus and linear algebra."--BOOK JACKET.

Numerical Mathematics

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Author :
Release : 1991-01-09
Genre : Gardening
Kind : eBook
Book Rating : 941/5 ( reviews)

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Book Synopsis Numerical Mathematics by : Günther Hammerlin

Download or read book Numerical Mathematics written by Günther Hammerlin. This book was released on 1991-01-09. Available in PDF, EPUB and Kindle. Book excerpt: This English translation of the highly successful German textbook Numerische Mathematik covers the usual classical topics of numerical analysis, and also includes an up-to-date treatment of both splines and linear optimization methods. The text is designed to be used in a first course in numerical analysis at the upper division undergraduate level or at the beginning graduate level. It features a careful balance between mathematical rigor and numerical insight and includes many worked out numerical examples. Each section concludes with an extensive set of exercises which instructors should find useful in helping students to master the material. Moreover, the authors have also provided carefully researched historical notes which will be of particular interest to experts as well as students.

Numerical Mathematics

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Author :
Release : 2017-01-26
Genre : Mathematics
Kind : eBook
Book Rating : 504/5 ( reviews)

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Book Synopsis Numerical Mathematics by : Alfio Quarteroni

Download or read book Numerical Mathematics written by Alfio Quarteroni. This book was released on 2017-01-26. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties and to demonstrate their performances on examples and counterexamples. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified using the MATLAB software environment. Each chapter contains examples, exercises and applications of the theory discussed to the solution of real-life problems. While addressed to senior undergraduates and graduates in engineering, mathematics, physics and computer sciences, this text is also valuable for researchers and users of scientific computing in a large variety of professional fields.

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