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101 0 $aeng
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200 03$aAn Introduction to inequalities$b[electronic resource] /$fby Edwin Beckenbach, Richard Bellman
210   $aWashington, D.C. $cMathematical Association of America$d1961
215   $a1 online resource (144 p.)
225 0 $aAnneli Lax New Mathematical Library ;$vno. 3
300   $aIncludes index.
311   $a0-88385-603-4 
327   $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""
330   $aMost people, when they think of mathematics, think first of numbers and equations-the number (x)=that number (y). But professional mathematicians, in dealing with quantities that can be ordered according to their size, often are more interested in unequal magnitudes that are equal. This book provides an introduction to the fascinating world of inequalities beginning with a systematic discussion of the relation 'greater than' and the meaning of 'absolute values' of numbers, and ending with descriptions of some unusual geometries. In the course of the book, the reader will encounter some of the more famous inequalities in mathematics.   Starting with the basic order properties of real numbers, this book carries the reader through the classical inequalities of Cauchy, Minkowsky and Ho?rder with many variants and applications. The concluding chapter points the way to other metrics in the plane and the interrelations between geometry (convexity) and algebra (inequalities).
410  0$aAnneli Lax New Mathematical Library
606   $aInequalities (Mathematics)
606   $aProcesses, Infinite
608   $aElectronic books.
615  0$aInequalities (Mathematics)
615  0$aProcesses, Infinite.
676   $a512
701   $aBeckenbach$b Edwin F$01423
701   $aBellman$b Richard$0121312
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910465724803321
996   $aAn Introduction to inequalities$92147878
997   $aUNINA