An Introduction to Inequalities /:
Most people, when they think of mathematics, think first of numbers and equations-the number (x)=that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that are equal. This book provide...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2012.
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| Schriftenreihe: | Anneli Lax new mathematical library.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Most people, when they think of mathematics, think first of numbers and equations-the number (x)=that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that are equal. This book provides an introduction to the fascinating world of inequalities beginning with a systematic discussion of the relation 'greater than' and the meaning of 'absolute values' of numbers, and ending with descriptions of some unusual geometries. In the course of the book, the reader will encounter some of the more famous inequalities in mathematics. Starting with the basic order properties of real numbers, this book carries the reader through the classical inequalities of Cauchy, Minkowsky and Hörder with many variants and applications. The concluding chapter points the way to other metrics in the plane and the interrelations between geometry (convexity) and algebra (inequalities). |
| Beschreibung: | Title from publishers bibliographic system (viewed on 30 Jan 2012). |
| Beschreibung: | 1 online resource |
| ISBN: | 9780883859216 0883859211 |
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| 505 | 0 | |a Front Cover -- An Introduction to Inequalities -- Copyright Page -- CONTENTS -- Note to the Reader -- Preface -- Chapter 1. Fundamentals -- Chapter 2. Tools -- Chapter 3. Absolute Value -- Chapter 4. The Classical Inequalities -- Chapter 5. Maximization and Minimization Problems -- Chapter 6. Properties of Distance -- Symbols -- Answers to Exercises -- Index | |
| 520 | |a Most people, when they think of mathematics, think first of numbers and equations-the number (x)=that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that are equal. This book provides an introduction to the fascinating world of inequalities beginning with a systematic discussion of the relation 'greater than' and the meaning of 'absolute values' of numbers, and ending with descriptions of some unusual geometries. In the course of the book, the reader will encounter some of the more famous inequalities in mathematics. Starting with the basic order properties of real numbers, this book carries the reader through the classical inequalities of Cauchy, Minkowsky and Hörder with many variants and applications. The concluding chapter points the way to other metrics in the plane and the interrelations between geometry (convexity) and algebra (inequalities). | ||
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| 700 | 1 | |a Beckenbach, Edwin. | |
| 700 | 1 | |a Bellman, Richard. | |
| 776 | 0 | 8 | |i Print version: |a Beckenbach, Edwin F. |t Introduction to Inequalities. |d Washington : Mathematical Association of America, ©2014 |z 9780883856031 |
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| contents | Front Cover -- An Introduction to Inequalities -- Copyright Page -- CONTENTS -- Note to the Reader -- Preface -- Chapter 1. Fundamentals -- Chapter 2. Tools -- Chapter 3. Absolute Value -- Chapter 4. The Classical Inequalities -- Chapter 5. Maximization and Minimization Problems -- Chapter 6. Properties of Distance -- Symbols -- Answers to Exercises -- Index |
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| discipline | Mathematik |
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| spelling | An Introduction to Inequalities / Edwin Beckenbach, Richard Bellman. Cambridge : Cambridge University Press, 2012. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Anneli Lax New Mathematical Library ; v. 3 Title from publishers bibliographic system (viewed on 30 Jan 2012). Front Cover -- An Introduction to Inequalities -- Copyright Page -- CONTENTS -- Note to the Reader -- Preface -- Chapter 1. Fundamentals -- Chapter 2. Tools -- Chapter 3. Absolute Value -- Chapter 4. The Classical Inequalities -- Chapter 5. Maximization and Minimization Problems -- Chapter 6. Properties of Distance -- Symbols -- Answers to Exercises -- Index Most people, when they think of mathematics, think first of numbers and equations-the number (x)=that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that are equal. This book provides an introduction to the fascinating world of inequalities beginning with a systematic discussion of the relation 'greater than' and the meaning of 'absolute values' of numbers, and ending with descriptions of some unusual geometries. In the course of the book, the reader will encounter some of the more famous inequalities in mathematics. Starting with the basic order properties of real numbers, this book carries the reader through the classical inequalities of Cauchy, Minkowsky and Hörder with many variants and applications. The concluding chapter points the way to other metrics in the plane and the interrelations between geometry (convexity) and algebra (inequalities). Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Inégalités (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh Inequalities (Mathematics) fast Beckenbach, Edwin. Bellman, Richard. Print version: Beckenbach, Edwin F. Introduction to Inequalities. Washington : Mathematical Association of America, ©2014 9780883856031 Anneli Lax new mathematical library. http://id.loc.gov/authorities/names/n2002012009 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=450349 Volltext |
| spellingShingle | An Introduction to Inequalities / Anneli Lax new mathematical library. Front Cover -- An Introduction to Inequalities -- Copyright Page -- CONTENTS -- Note to the Reader -- Preface -- Chapter 1. Fundamentals -- Chapter 2. Tools -- Chapter 3. Absolute Value -- Chapter 4. The Classical Inequalities -- Chapter 5. Maximization and Minimization Problems -- Chapter 6. Properties of Distance -- Symbols -- Answers to Exercises -- Index Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Inégalités (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh Inequalities (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85065985 |
| title | An Introduction to Inequalities / |
| title_auth | An Introduction to Inequalities / |
| title_exact_search | An Introduction to Inequalities / |
| title_full | An Introduction to Inequalities / Edwin Beckenbach, Richard Bellman. |
| title_fullStr | An Introduction to Inequalities / Edwin Beckenbach, Richard Bellman. |
| title_full_unstemmed | An Introduction to Inequalities / Edwin Beckenbach, Richard Bellman. |
| title_short | An Introduction to Inequalities / |
| title_sort | introduction to inequalities |
| topic | Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Inégalités (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh Inequalities (Mathematics) fast |
| topic_facet | Inequalities (Mathematics) Inégalités (Mathématiques) MATHEMATICS Algebra Intermediate. |
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