Means And Their Inequalities

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Handbook of Means and Their Inequalities

Author : P.S. Bullen
Publisher : Springer Science & Business Media
ISBN 13 : 940170399X
Total Pages : 563 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Handbook of Means and Their Inequalities by : P.S. Bullen

Download or read book Handbook of Means and Their Inequalities written by P.S. Bullen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: There seems to be two types of books on inequalities. On the one hand there are treatises that attempt to cover all or most aspects of the subject, and where an attempt is made to give all results in their best possible form, together with either a full proof or a sketch of the proof together with references to where a full proof can be found. Such books, aimed at the professional pure and applied mathematician, are rare. The first such, that brought some order to this untidy field, is the classical "Inequalities" of Hardy, Littlewood & P6lya, published in 1934. Important as this outstanding work was and still is, it made no attempt at completeness; rather it consisted of the total knowledge of three front rank mathematicians in a field in which each had made fundamental contributions. Extensive as this combined knowledge was there were inevitably certain lacunre; some important results, such as Steffensen's inequality, were not mentioned at all; the works of certain schools of mathematicians were omitted, and many important ideas were not developed, appearing as exercises at the ends of chapters. The later book "Inequalities" by Beckenbach & Bellman, published in 1961, repairs many of these omissions. However this last book is far from a complete coverage of the field, either in depth or scope.

Means and Their Inequalities

Author : P.S. Bullen
Publisher : Springer Science & Business Media
ISBN 13 : 9401722269
Total Pages : 476 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Means and Their Inequalities by : P.S. Bullen

Download or read book Means and Their Inequalities written by P.S. Bullen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't !hat they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal 0/ Fa/her 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuJik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fie1ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "complete1y integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing c1assification schemes. They draw upon wide1y different sections of mathematics.

Inequalities

Author : Zdravko Cvetkovski
Publisher : Springer Science & Business Media
ISBN 13 : 3642237924
Total Pages : 439 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Inequalities by : Zdravko Cvetkovski

Download or read book Inequalities written by Zdravko Cvetkovski and published by Springer Science & Business Media. This book was released on 2012-01-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book.

Means and Their Inequalities

Author : P.S. Bullen
Publisher : Springer
ISBN 13 : 9789401722278
Total Pages : 459 pages
Book Rating : 4.7/5 (222 download)

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Book Synopsis Means and Their Inequalities by : P.S. Bullen

Download or read book Means and Their Inequalities written by P.S. Bullen and published by Springer. This book was released on 2014-03-14 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't !hat they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal 0/ Fa/her 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuJik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fie1ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "complete1y integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing c1assification schemes. They draw upon wide1y different sections of mathematics.

Inequalities

Author : G. H. Hardy
Publisher : Cambridge University Press
ISBN 13 : 9780521358804
Total Pages : 344 pages
Book Rating : 4.3/5 (588 download)

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Book Synopsis Inequalities by : G. H. Hardy

Download or read book Inequalities written by G. H. Hardy and published by Cambridge University Press. This book was released on 1952 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians.

A Dictionary of Inequalities

Author : Peter Bullen
Publisher : CRC Press
ISBN 13 : 9780582327481
Total Pages : 298 pages
Book Rating : 4.3/5 (274 download)

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Book Synopsis A Dictionary of Inequalities by : Peter Bullen

Download or read book A Dictionary of Inequalities written by Peter Bullen and published by CRC Press. This book was released on 1998-08-21 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The literature on inequalities is vast-in recent years the number of papers as well as the number of journals devoted to the subject have increased dramatically. At best, locating a particular inequality within the literature can be a cumbersome task. A Dictionary of Inequalities ends the dilemma of where to turn to find a result, a related inequality, or the references to the information you need. It provides a concise, alphabetical listing of each inequality-by its common name or its subject-with a short statement of the result, some comments, references to related inequalities, and a list of sources for further information. The author uses only the most elementary of mathematical terminology and does not offer proofs, thus making an interest in inequalities the only prerequisite for using the text. The author focuses on intuitive, physical forms of inequalities rather than their most general versions, and retains the beauty and importance of original versions rather than listing their later, abstract forms. He presents each in its simplest form with other renditions, such as for complex numbers and vectors, as extensions or under different headings. He has kept the book to a more manageable size by omitting inequalities in areas-such as elementary geometric and trigonometric inequalities-rarely used outside their fields. The end result is a current, concise, reference that puts the essential results on inequalities within easy reach. A Dictionary of Inequalities carries the beauty and attraction of the best and most successful dictionaries: on looking up a given item, the reader is likely to be intrigued and led by interest to others.

When Less is More

Author : Claudi Alsina
Publisher : American Mathematical Soc.
ISBN 13 : 1614442029
Total Pages : 181 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis When Less is More by : Claudi Alsina

Download or read book When Less is More written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2009-12-31 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the richness and variety of inequalities in mathematics using illustration and visualisation.

Why Does Inequality Matter?

Author : Thomas Scanlon
Publisher : Oxford University Press
ISBN 13 : 0198812698
Total Pages : 181 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Why Does Inequality Matter? by : Thomas Scanlon

Download or read book Why Does Inequality Matter? written by Thomas Scanlon and published by Oxford University Press. This book was released on 2018 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequality is widely regarded as morally objectionable: T. M. Scanlon investigates why it matters to us. He considers the nature and importance of equality of opportunity, whether the pursuit of greater equality involves objectionable interference with individual liberty, and whether the rich can be said to deserve their greater rewards.

Inequalities of Love

Author : Averil Y. Clarke
Publisher : Duke University Press
ISBN 13 : 0822350084
Total Pages : 431 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis Inequalities of Love by : Averil Y. Clarke

Download or read book Inequalities of Love written by Averil Y. Clarke and published by Duke University Press. This book was released on 2011-07-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVUses quantitative methods and interviews to examine the social and cultural barriers that prevent college-educated black women from having the romantic relationships and families that they want./div

The Cauchy-Schwarz Master Class

Author : J. Michael Steele
Publisher : Cambridge University Press
ISBN 13 : 9780521546775
Total Pages : 320 pages
Book Rating : 4.5/5 (467 download)

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Book Synopsis The Cauchy-Schwarz Master Class by : J. Michael Steele

Download or read book The Cauchy-Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.

Savage Inequalities

Author : Jonathan Kozol
Publisher : Crown
ISBN 13 : 0770435688
Total Pages : 338 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Savage Inequalities by : Jonathan Kozol

Download or read book Savage Inequalities written by Jonathan Kozol and published by Crown. This book was released on 2012-07-24 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES BESTSELLER • “An impassioned book, laced with anger and indignation, about how our public education system scorns so many of our children.”—The New York Times Book Review In 1988, Jonathan Kozol set off to spend time with children in the American public education system. For two years, he visited schools in neighborhoods across the country, from Illinois to Washington, D.C., and from New York to San Antonio. He spoke with teachers, principals, superintendents, and, most important, children. What he found was devastating. Not only were schools for rich and poor blatantly unequal, the gulf between the two extremes was widening—and it has widened since. The urban schools he visited were overcrowded and understaffed, and lacked the basic elements of learning—including books and, all too often, classrooms for the students. In Savage Inequalities, Kozol delivers a searing examination of the extremes of wealth and poverty and calls into question the reality of equal opportunity in our nation’s schools. Praise for Savage Inequalities “I was unprepared for the horror and shame I felt. . . . Savage Inequalities is a savage indictment. . . . Everyone should read this important book.”—Robert Wilson, USA Today “Kozol has written a book that must be read by anyone interested in education.”—Elizabeth Duff, Philadelphia Inquirer “The forces of equity have now been joined by a powerful voice. . . . Kozol has written a searing exposé of the extremes of wealth and poverty in America’s school system and the blighting effect on poor children, especially those in cities.”—Emily Mitchell, Time “Easily the most passionate, and certain to be the most passionately debated, book about American education in several years . . . A classic American muckraker with an eloquent prose style, Kozol offers . . . an old-fashioned brand of moral outrage that will affect every reader whose heart has not yet turned to stone.”—Entertainment Weekly

An Introduction to the Theory of Functional Equations and Inequalities

Author : Marek Kuczma
Publisher : Springer Science & Business Media
ISBN 13 : 3764387491
Total Pages : 595 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis An Introduction to the Theory of Functional Equations and Inequalities by : Marek Kuczma

Download or read book An Introduction to the Theory of Functional Equations and Inequalities written by Marek Kuczma and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)

Inequalities in Health

Author : Peter Townsend
Publisher : Penguin Uk
ISBN 13 : 9780140172652
Total Pages : 450 pages
Book Rating : 4.1/5 (726 download)

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Book Synopsis Inequalities in Health by : Peter Townsend

Download or read book Inequalities in Health written by Peter Townsend and published by Penguin Uk. This book was released on 1992 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text stresses how crucial it is to promote health in addition to correcting the organisational changes in favour of equality in the NHS itself. The two reports demonstrate the scientific evidence in favour of the need for action to reduce poverty and material deprivation in order to improve the standard of health in the population and so save lives.

Classical and New Inequalities in Analysis

Author : Dragoslav S. Mitrinovic
Publisher : Springer Science & Business Media
ISBN 13 : 9401710430
Total Pages : 739 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Classical and New Inequalities in Analysis by : Dragoslav S. Mitrinovic

Download or read book Classical and New Inequalities in Analysis written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.

Inequality and the 1%

Author : Danny Dorling
Publisher : Verso Books
ISBN 13 : 1788736478
Total Pages : 273 pages
Book Rating : 4.7/5 (887 download)

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Book Synopsis Inequality and the 1% by : Danny Dorling

Download or read book Inequality and the 1% written by Danny Dorling and published by Verso Books. This book was released on 2019-09-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the great recession hit in 2008, the 1% has only grown richer while the rest find life increasingly tough. The gap between the haves and the have-nots has turned into a chasm. While the rich have found new ways of protecting their wealth, everyone else has suffered the penalties of austerity. But inequality is more than just economics. Being born outside the 1% has a dramatic impact on a person's potential: reducing life expectancy, limiting education and work prospects, and even affecting mental health. What is to be done? In Inequality and the 1% leading social thinker Danny Dorling lays bare the extent and true cost of the division in our society and asks what have the superrich ever done for us. He shows that inquality is the greatest threat we face and why we must urgently redress the balance.

Inequality

Author : Max Rashbrooke
Publisher : Bridget Williams Books
ISBN 13 : 1927131510
Total Pages : 296 pages
Book Rating : 4.9/5 (271 download)

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Book Synopsis Inequality by : Max Rashbrooke

Download or read book Inequality written by Max Rashbrooke and published by Bridget Williams Books. This book was released on 2013-06-27 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The divide between New Zealand’s poorest and wealthiest inhabitants has widened alarmingly over recent decades. Differences in income have grown faster than in most other developed countries. New Zealand society is being reshaped, stretching to accommodate new distance between those who ‘have’ and those who ‘have not’. Income inequality is a crisis that affects us all. A diverse gathering of New Zealand scholars, journalists, researchers, business leaders, workers, students and parents share these pages. Their voices speak to the complex shape of income inequality, and its effects on the communities of these Pacific islands.

Inequalities

Author : Michael J. Cloud
Publisher : Springer Science & Business Media
ISBN 13 : 0387226265
Total Pages : 150 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Inequalities by : Michael J. Cloud

Download or read book Inequalities written by Michael J. Cloud and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: A working knowledge of inequalities can be beneficial to the practicing engineer, and inequalities are central to the definitions of all limiting processes, including differentiation and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inequalities can be used to obtain error bounds for numerical approximation. They can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind, and helps fill the gap between college algebra-level treatments, and the formidable treatise on the subject that exist in the mathematics literature. To consolidate the learning process, every chapter ends with a rich collection of exercises.