Equations and Inequalities

Equations and Inequalities

Author: Jiri Herman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 353

ISBN-13: 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.


Book Synopsis Equations and Inequalities by : Jiri Herman

Download or read book Equations and Inequalities written by Jiri Herman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Inequalities

Author: G. H. Hardy

Publisher: Cambridge University Press

Published: 1952

Total Pages: 344

ISBN-13: 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.


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.


Inequalities

Inequalities

Author: Zdravko Cvetkovski

Publisher: Springer Science & Business Media

Published: 2012-01-06

Total Pages: 439

ISBN-13: 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.


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.


Persistent Inequalities

Persistent Inequalities

Author: Howard Botwinick

Publisher: BRILL

Published: 2017-11-20

Total Pages: 386

ISBN-13: 9004269592

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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.


Book Synopsis Persistent Inequalities by : Howard Botwinick

Download or read book Persistent Inequalities written by Howard Botwinick and published by BRILL. This book was released on 2017-11-20 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Environmental Inequalities

Environmental Inequalities

Author: Andrew Hurley

Publisher: Univ of North Carolina Press

Published: 2009-11-30

Total Pages: 267

ISBN-13: 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.


Book Synopsis Environmental Inequalities by : Andrew Hurley

Download or read book Environmental Inequalities written by Andrew Hurley and published by Univ of North Carolina Press. This book was released on 2009-11-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Understanding Health Inequalities and Justice

Author: Mara Buchbinder

Publisher: UNC Press Books

Published: 2016-09-19

Total Pages: 351

ISBN-13: 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.


Book Synopsis Understanding Health Inequalities and Justice by : Mara Buchbinder

Download or read book Understanding Health Inequalities and Justice written by Mara Buchbinder and published by UNC Press Books. This book was released on 2016-09-19 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Savage Inequalities

Savage Inequalities

Author: Jonathan Kozol

Publisher: Crown

Published: 2012-07-24

Total Pages: 338

ISBN-13: 0770435688

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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


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


Inequalities

Inequalities

Author: Edwin F. Beckenbach

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 210

ISBN-13: 3642649718

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Since the elassie work on inequalities by HARDY, LITTLEWOOD, and P6LYA in 1934, an enonnous amount of effort has been devoted to the sharpening and extension of the elassieal inequalities, to the discovery of new types of inequalities, and to the application of inqualities in many parts of analysis. As examples, let us eite the fields of ordinary and partial differential equations, whieh are dominated by inequalities and variational prineiples involving functions and their derivatives; the many applications of linear inequalities to game theory and mathe matieal economics, which have triggered a renewed interest in con vexity and moment-space theory; and the growing uses of digital com puters, which have given impetus to a systematie study of error esti mates involving much sophisticated matrix theory and operator theory. The results presented in the following pages reflect to some extent these ramifications of inequalities into contiguous regions of analysis, but to a greater extent our concem is with inequalities in their native habitat. Since it is elearly impossible to give a connected account of the burst of analytic activity of the last twenty-five years centering about inequalities, we have d. eeided to limit our attention to those topies that have particularly delighted and intrigued us, and to the study of whieh we have contributed.


Book Synopsis Inequalities by : Edwin F. Beckenbach

Download or read book Inequalities written by Edwin F. Beckenbach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the elassie work on inequalities by HARDY, LITTLEWOOD, and P6LYA in 1934, an enonnous amount of effort has been devoted to the sharpening and extension of the elassieal inequalities, to the discovery of new types of inequalities, and to the application of inqualities in many parts of analysis. As examples, let us eite the fields of ordinary and partial differential equations, whieh are dominated by inequalities and variational prineiples involving functions and their derivatives; the many applications of linear inequalities to game theory and mathe matieal economics, which have triggered a renewed interest in con vexity and moment-space theory; and the growing uses of digital com puters, which have given impetus to a systematie study of error esti mates involving much sophisticated matrix theory and operator theory. The results presented in the following pages reflect to some extent these ramifications of inequalities into contiguous regions of analysis, but to a greater extent our concem is with inequalities in their native habitat. Since it is elearly impossible to give a connected account of the burst of analytic activity of the last twenty-five years centering about inequalities, we have d. eeided to limit our attention to those topies that have particularly delighted and intrigued us, and to the study of whieh we have contributed.


Concentration Inequalities

Concentration Inequalities

Author: Stéphane Boucheron

Publisher: Oxford University Press

Published: 2013-02-07

Total Pages: 492

ISBN-13: 0199535256

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Describes the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented.


Book Synopsis Concentration Inequalities by : Stéphane Boucheron

Download or read book Concentration Inequalities written by Stéphane Boucheron and published by Oxford University Press. This book was released on 2013-02-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented.


Classical and New Inequalities in Analysis

Classical and New Inequalities in Analysis

Author: Dragoslav S. Mitrinovic

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 739

ISBN-13: 9401710430

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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.


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.