eBook - PDF
Variational Methods for Eigenvalue Problems
An Introduction to the Weinstein Method of Intermediate Problems (Second Edition)
- 292 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Variational Methods for Eigenvalue Problems
An Introduction to the Weinstein Method of Intermediate Problems (Second Edition)
About this book
The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. This second edition presents new developments in the framework of the material contained in the first edition, which is retained in somewhat modified form.
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Yes, you can access Variational Methods for Eigenvalue Problems by S. H. Gould in PDF and/or ePUB format, as well as other popular books in Education & Education General. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- PREFACE TO THE SECOND EDITION
- FROM THE PREFACE TO THE FIRST EDITION
- CONTENTS
- INTRODUCTION
- I. SYSTEMS VIBRATING WITH A FINITE NUMBER OF DEGREES OF FREEDOM
- II. VARIATIONAL PRINCIPLES FOR FINITE-DIMENSIONAL SYSTEMS
- III. THE WEINSTEIN CRITERION FOR COMPLETE RAISING OF EIGENVALUES
- IV. VIBRATION OF SYSTEMS WITH INFINITELY MANY DEGREES OF FREEDOM
- V. REPRODUCING KERNELS AND FUNCTIONAL COMPLETION
- VI. VIBRATING RODS, MEMBRANES, AND PLATES
- VII. THE WEINSTEIN METHOD IN ITS ORIGINAL FORM
- VIII. LINEAR OPERATORS IN HILBERT SPACE
- IX. THE METHOD AS DEVELOPED BY WEINSTEIN AND ARONSZAJN FOR LINEAR OPERATORS IN HILBERT SPACE
- X. APPLICATION OF THE METHOD IN HILBERT SPACE TO THE DIFFERENTIAL PROBLEM OF THE VIBRATING PLATE
- XI. APPLICATION OF THE APPROXIMATIVE METHODS TO GENERAL DIFFERENTIAL PROBLEMS
- XII. INTERMEDIATE PROBLEMS OF THE SECOND TYPE. THE BAZLEY SPECIAL CHOICE
- XIII. TRUNCATION AND OTHER METHODS
- XIV. PROBLEMS OF THE FIRST TYPE WITH A SIDE CONDITION
- XV. UNIFIED TREATMENT OF INTERMEDIATE PROBLEMS
- BIBLIOGRAPHY
- INDEX