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Equations and Inequalities

Author : Jiri Herman
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 22,4 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461212707

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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.

Inequalities

Author : G. H. Hardy
Publisher : Cambridge University Press
Page : 344 pages
File Size : 14,10 MB
Release : 1952
Category : Mathematics
ISBN : 9780521358804

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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.

Persistent Inequalities

Author : Howard Botwinick
Publisher : BRILL
Page : 386 pages
File Size : 14,38 MB
Release : 2017-11-20
Category : Political Science
ISBN : 9004269592

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Economists generally assume that wage differentials among similar workers will only endure when competition in the capital and/or labor market is restricted. In contrast, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity can persist despite high levels of competition. Indeed, the author provocatively argues that competition and technical change often militate against wage equalization. In addition to providing the basis for a more unified analysis of race and gender inequality within labor markets, Botwinick’s work has important implications for contemporary union strategies. Going against mainstream proponents of labor-management cooperation, the author calls for militant union organization that can once again take wages and working conditions out of capitalist competition. This revised edition was originally published under the same title in 1993 by Princeton University Press.

Inequalities

Author : Zdravko Cvetkovski
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 39,98 MB
Release : 2012-01-06
Category : Mathematics
ISBN : 3642237924

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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.

Savage Inequalities

Author : Jonathan Kozol
Publisher : Crown
Page : 338 pages
File Size : 26,55 MB
Release : 2012-07-24
Category : Education
ISBN : 0770436668

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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

Environmental Inequalities

Author : Andrew Hurley
Publisher : Univ of North Carolina Press
Page : 267 pages
File Size : 25,23 MB
Release : 2009-11-30
Category : Political Science
ISBN : 0807898783

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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.

Understanding Health Inequalities and Justice

Author : Mara Buchbinder
Publisher : UNC Press Books
Page : 351 pages
File Size : 24,20 MB
Release : 2016-09-19
Category : Medical
ISBN : 1469630362

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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.

Relational Inequalities

Author : Donald Tomaskovic-Devey
Publisher :
Page : 305 pages
File Size : 36,7 MB
Release : 2019
Category : Business & Economics
ISBN : 0190624426

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Organizations are the dominant social invention for generating resources and distributing them. Relational Inequalities develops a general sociological and organizational analysis of inequality, exploring the processes that generate inequalities in access to respect, resources, and rewards. Framing their analysis through a relational account of social and economic life, Donald Tomaskovic-Devey and Dustin Avent-Holt explain how resources are generated and distributed both within and between organizations. They show that inequalities are produced through generic processes that occur in all social relationships: categorization and their resulting status hierarchies, organizational resource pooling, exploitation, social closure, and claims-making. Drawing on a wide range of case studies, Tomaskovic-Devey and Avent-Holt focus on the workplace as the primary organization for generating inequality and provide a series of global goals to advance both a comparative organizational research model and to challenge troubling inequalities.

Inequalities: A Journey into Linear Analysis

Author : D. J. H. Garling
Publisher : Cambridge University Press
Page : 347 pages
File Size : 44,56 MB
Release : 2007-07-05
Category : Mathematics
ISBN : 1139465147

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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.

Algebraic Inequalities

Author : Hayk Sedrakyan
Publisher : Springer
Page : 244 pages
File Size : 50,90 MB
Release : 2018-07-05
Category : Mathematics
ISBN : 3319778366

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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.