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Lectures on Numerical Mathematics

2012-12-06 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.

Lectures on Numerical Mathematics

1990-01-01 Numerical analysis
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Release : 1990-01-01
Genre : Numerical analysis
Kind : eBook
Book Rating : 918/5 ( reviews)

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Book Synopsis Lectures on Numerical Mathematics by : Heinz Rutishauser

Download or read book Lectures on Numerical Mathematics written by Heinz Rutishauser. This book was released on 1990-01-01. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Mathematical Method in Analytical Economics

2018-11-14 Mathematics
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Release : 2018-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 034/5 ( reviews)

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Book Synopsis Lectures on the Mathematical Method in Analytical Economics by : Jacob T. Schwartz

Download or read book Lectures on the Mathematical Method in Analytical Economics written by Jacob T. Schwartz. This book was released on 2018-11-14. Available in PDF, EPUB and Kindle. Book excerpt: An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

A Brief Introduction to Numerical Analysis

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 361/5 ( reviews)

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Book Synopsis A Brief Introduction to Numerical Analysis by : Eugene E. Tyrtyshnikov

Download or read book A Brief Introduction to Numerical Analysis written by Eugene E. Tyrtyshnikov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A logically organized advanced textbook, which turns the reader into an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful.

Methods of Numerical Mathematics

1982-05-11 Mathematics
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Release : 1982-05-11
Genre : Mathematics
Kind : eBook
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Book Synopsis Methods of Numerical Mathematics by : G.I. Marchuk

Download or read book Methods of Numerical Mathematics written by G.I. Marchuk. This book was released on 1982-05-11. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an adaptation of a series of lectures on numerical mathematics which the author has been giving to students of mathematics at the Novosibirsk State University during the span of several years. In dealing with problems of applied and numerical mathematics the author sought to focus his attention on those complicated problems of mathe matical physics which, in the course of their solution, can be reduced to simpler and theoretically better developed problems allowing effective algorithmic realization on modern computers. It is usually these kinds of problems that a young practicing scientist runs into after finishing his university studies. Therefore this book is pri marily intended for the benefit of those encountering truly complicated problems of mathematical physics for the first time, who may seek help regarding rational approaches to their solution. In writing this book the author has also tried to take into account the needs of scientists and engineers who already have a solid background in practical problems but who lack a systematic knowledge in areas of numerical mathematics and its more general theoretical framework.

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