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Inequalities
G. H. Hardy,J. E. Littlewood,G. Pólya
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eBook - PDF
Inequalities
G. H. Hardy,J. E. Littlewood,G. Pólya
Book details
Table of contents
Citations
About This Book
This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians.
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Table of contents
- Cover
- Half-title
- Title
- Copyright
- Preface to first edition
- Preface to second edition
- Contents
- CHAPTER I. INTRODUCTION
- CHAPTER II. ELEMENTARY MEAN VALUES
- CHAPTER III. MEAN VALUES WITH AN ARBITRARY FUNCTION AND THE THEORY OF CONVEX FUNCTIONS
- CHAPTER IV. VARIOUS APPLICATIONS OF THE CALCULUS
- CHAPTER V. INFINITE SERIES
- CHAPTER VI. INTEGRALS
- CHAPTER VII. SOME APPLICATIONS OF THE CALCULUS OF VARIATIONS
- CHAPTER VIII. SOME THEOREMS CONCERNING BILINEAR AND MULTILINEAR FORMS
- CHAPTER IX. HILBERT'S INEQUALITY AND ITS ANALOGUES AND EXTENSIONS
- CHAPTER X. REARRANGEMENTS
- APPENDIX I. On strictly positive forms
- APPENDIX II. Thorin's proof and extension of Theorem 295
- APPENDIX III. On Hilbert's inequality
- BIBLIOGRAPHY