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Author: Catherine Bandle
Publisher: Springer Science & Business Media
ISBN: 9783764357221
Category : Gardening
Languages : en
Pages : 424
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Book Description
Inequalities continue to play an essential role in mathematics. The subject is per haps the last field that is comprehended and used by mathematicians working in all the areas of the discipline of mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities. New inequalities are discovered ev ery year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. So extensive are these developments that a new mathematical periodical devoted exclusively to inequalities will soon appear; this is the Journal of Inequalities and Applications, to be edited by R. P. Agar wal. Nowadays it is difficult to follow all these developments and because of lack of communication between different groups of specialists many results are often rediscovered several times. Surveys of the present state of the art are therefore in dispensable not only to mathematicians but to the scientific community at large. The study of inequalities reflects the many and various aspects of mathemat ics. There is on the one hand the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand the subject is a source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are many applications in a wide variety of fields from mathematical physics to biology and economics.
Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1461212707
Category : Mathematics
Languages : en
Pages : 353
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Book Description
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.
Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 9780521358804
Category : Mathematics
Languages : en
Pages : 344
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Book Description
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.
Author: Zdravko Cvetkovski
Publisher: Springer Science & Business Media
ISBN: 3642237924
Category : Mathematics
Languages : en
Pages : 439
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Book Description
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.
Author: Jonathan Kozol
Publisher: Crown
ISBN: 0770435688
Category : Education
Languages : en
Pages : 338
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Book Description
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
Author: Hayk Sedrakyan
Publisher: Springer
ISBN: 3319778366
Category : Mathematics
Languages : en
Pages : 243
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Book Description
This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.
Author: Andrew Hurley
Publisher: Univ of North Carolina Press
ISBN: 0807898783
Category : Political Science
Languages : en
Pages : 267
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Book Description
By examining environmental change through the lens of conflicting social agendas, Andrew Hurley uncovers the historical roots of environmental inequality in contemporary urban America. Hurley's study focuses on the steel mill community of Gary, Indiana, a city that was sacrificed, like a thousand other American places, to industrial priorities in the decades following World War II. Although this period witnessed the emergence of a powerful environmental crusade and a resilient quest for equality and social justice among blue-collar workers and African Americans, such efforts often conflicted with the needs of industry. To secure their own interests, manufacturers and affluent white suburbanites exploited divisions of race and class, and the poor frequently found themselves trapped in deteriorating neighborhoods and exposed to dangerous levels of industrial pollution. In telling the story of Gary, Hurley reveals liberal capitalism's difficulties in reconciling concerns about social justice and quality of life with the imperatives of economic growth. He also shows that the power to mold the urban landscape was intertwined with the ability to govern social relations.
Author: Howard Botwinick
Publisher: BRILL
ISBN: 9004269592
Category : Political Science
Languages : en
Pages : 386
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Book Description
In contrast to orthodox theory, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity among similar workers can persist despite high levels of competition in both capital and labor markets.
Author: D. J. H. Garling
Publisher: Cambridge University Press
ISBN: 1139465147
Category : Mathematics
Languages : en
Pages : 347
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Book Description
This book contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of function spaces, linear operators between them, and of special classes of operators such as absolutely summing operators. This textbook complements and fills out standard treatments, providing many diverse applications: for example, the Lebesgue decomposition theorem and the Lebesgue density theorem, the Hilbert transform and other singular integral operators, the martingale convergence theorem, eigenvalue distributions, Lidskii's trace formula, Mercer's theorem and Littlewood's 4/3 theorem. It will broaden the knowledge of postgraduate and research students, and should also appeal to their teachers, and all who work in linear analysis.
Author: Mara Buchbinder
Publisher: UNC Press Books
ISBN: 1469630362
Category : Medical
Languages : en
Pages : 351
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Book Description
The need for informed analyses of health policy is now greater than ever. The twelve essays in this volume show that public debates routinely bypass complex ethical, sociocultural, historical, and political questions about how we should address ideals of justice and equality in health care. Integrating perspectives from the humanities, social sciences, medicine, and public health, this volume illuminates the relationships between justice and health inequalities to enrich debates. Understanding Health Inequalities and Justice explores three questions: How do scholars approach relations between health inequalities and ideals of justice? When do justice considerations inform solutions to health inequalities, and how do specific health inequalities affect perceptions of injustice? And how can diverse scholarly approaches contribute to better health policy? From addressing patient agency in an inequitable health care environment to examining how scholars of social justice and health care amass evidence, this volume promotes a richer understanding of health and justice and how to achieve both. The contributors are Judith C. Barker, Paula Braveman, Paul Brodwin, Jami Suki Chang, Debra DeBruin, Leslie A. Dubbin, Sarah Horton, Carla C. Keirns, J. Paul Kelleher, Nicholas B. King, Eva Feder Kittay, Joan Liaschenko, Anne Drapkin Lyerly, Mary Faith Marshall, Carolyn Moxley Rouse, Jennifer Prah Ruger, and Janet K. Shim.
Author: Catherine Bandle
Publisher: Springer Science & Business Media
ISBN: 9783764357221
Category : Gardening
Languages : en
Pages : 424
Get Book
Book Description
Inequalities continue to play an essential role in mathematics. The subject is per haps the last field that is comprehended and used by mathematicians working in all the areas of the discipline of mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities. New inequalities are discovered ev ery year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. So extensive are these developments that a new mathematical periodical devoted exclusively to inequalities will soon appear; this is the Journal of Inequalities and Applications, to be edited by R. P. Agar wal. Nowadays it is difficult to follow all these developments and because of lack of communication between different groups of specialists many results are often rediscovered several times. Surveys of the present state of the art are therefore in dispensable not only to mathematicians but to the scientific community at large. The study of inequalities reflects the many and various aspects of mathemat ics. There is on the one hand the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand the subject is a source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are many applications in a wide variety of fields from mathematical physics to biology and economics.
