A Brief Introduction to Numerical Analysis (Hardcover)

Eugene E. Tyrtyshnikov

ISBN 10: 0817639160 / ISBN 13: 9780817639167

Verlag: Birkhauser Boston Inc, Secaucus, 1997

Beschreibung

Hardcover. This is an advanced textbook based on lectures given at the Moscow Physico-Technical Institute. The lectures are characterized by brevity, logical organization, and occasionally a lighthearted approach. It aims to involve the reader by asking questions, hinting, giving recommendations, comparing different methods, and discussing "optomistic" and "pessemistic" approaches to numerical analysis. Since matrix analysis underlies numerical analysis, this text emphasizes methods and algorithms of matrix analysis. Function approximations, methods of solving nonlinear equations, and minimization methods are also considered. As well as considering classical methods, new methods and approaches are discussed - such as spectral distribution theory and what it offers for design and proof of modern preconditioning strategies for large-scale linear algebra problems. This text presents a brief introduction to numerical analysis for undergraduates and postgraduates studying applied mathematics, physics and computer science. It is also suitable for self-study by non-specialist professionals and graduate students in science and engineering. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Bestandsnummer des Verkäufers 9780817639167

Bibliografische Details

• Titel: A Brief Introduction to Numerical Analysis (Hardcover)
• Verlag: Birkhauser Boston Inc, Secaucus
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 0817639160
• ISBN-13: 9780817639167
• Einband: Hardcover
• Auflage: 1. Auflage
• Zustand: new

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Inhaltsangabe

Lecture 1.- Lecture 2.- Lecture 3.- Lecture 4.- Lecture 5.- Lecture 6.- Lecture 7.- Lecture 8.- Lecture 9.- Lecture 10.- Lecture 11.- Lecture 12.- Lecture 13.- Lecture 14.- Lecture 15.- Lecture 16.- Lecture 17.- Lecture 18.- Lecture 19.- Lecture 20.- Lecture 21.

Von der hinteren Coverseite

This is an advanced textbook based on lectures delivered at the Moscow Physico-Technical Institute. Brevity, logical organization of the material, and a sometimes lighthearted approach are distinctive features of this modest book. The author makes the reader an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis in a short time. Since matrix analysis underlies numerical methods and the author is an expert in this field, emphasis in the book is on methods and algorithms of matrix analysis. Also considered are function approximations, methods of solving nonlinear equations and minimization methods. Alongside classical methods, new results and approaches developed over the last few years are discussed - namely those on spectral distribution theory and what it gives for design and proof of modern preconditioning strategies for large-scale linear algebra problems. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful. It can be equally useful for advanced readers and researchers in providing them with new findings and new accessible views of the basic mathematical framework.