Author: Titu Andreescu
Publisher:
ISBN: 9781735831503
Category :
Languages : en
Pages :
Book Description
New, Newer, Newest Inequalities
Author: Titu Andreescu
Publisher:
ISBN: 9781735831503
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9781735831503
Category :
Languages : en
Pages :
Book Description
Inequalities: Theory of Majorization and Its Applications
Author: Albert W. Marshall
Publisher: Springer Science & Business Media
ISBN: 0387682767
Category : Mathematics
Languages : en
Pages : 919
Book Description
This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.
Publisher: Springer Science & Business Media
ISBN: 0387682767
Category : Mathematics
Languages : en
Pages : 919
Book Description
This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.
Structuring Inequality
Author: Tracy L. Steffes
Publisher: University of Chicago Press
ISBN: 0226832252
Category : Education
Languages : en
Pages : 377
Book Description
How inequality was forged, fought over, and forgotten through public policy in metropolitan Chicago. As in many American metropolitan areas, inequality in Chicagoland is visible in its neighborhoods. These inequalities are not inevitable, however. They have been constructed and deepened by public policies around housing, schooling, taxation, and local governance, including hidden state government policies. In Structuring Inequality, historian Tracy L. Steffes shows how metropolitan inequality in Chicagoland was structured, contested, and naturalized over time even as reformers tried to change it through school desegregation, affordable housing, and property tax reform. While these efforts had modest successes in the city and the suburbs, reformers faced significant resistance and counter-mobilization from affluent suburbanites, real estate developers, and other defenders of the status quo who defended inequality and reshaped the policy conversation about it. Grounded in comprehensive archival research and policy analysis, Structuring Inequality examines the history of Chicagoland’s established systems of inequality and provides perspective on the inequality we live with today.
Publisher: University of Chicago Press
ISBN: 0226832252
Category : Education
Languages : en
Pages : 377
Book Description
How inequality was forged, fought over, and forgotten through public policy in metropolitan Chicago. As in many American metropolitan areas, inequality in Chicagoland is visible in its neighborhoods. These inequalities are not inevitable, however. They have been constructed and deepened by public policies around housing, schooling, taxation, and local governance, including hidden state government policies. In Structuring Inequality, historian Tracy L. Steffes shows how metropolitan inequality in Chicagoland was structured, contested, and naturalized over time even as reformers tried to change it through school desegregation, affordable housing, and property tax reform. While these efforts had modest successes in the city and the suburbs, reformers faced significant resistance and counter-mobilization from affluent suburbanites, real estate developers, and other defenders of the status quo who defended inequality and reshaped the policy conversation about it. Grounded in comprehensive archival research and policy analysis, Structuring Inequality examines the history of Chicagoland’s established systems of inequality and provides perspective on the inequality we live with today.
Social Inequality
Author: Charles E. Hurst
Publisher: Routledge
ISBN: 1317344235
Category : Social Science
Languages : en
Pages : 618
Book Description
A user-friendly introduction to social inequality. This text is a broad introduction to the many types of inequality– economics, status, political power, sex and gender, sexual orientation, race, and ethnicity– in U.S. society and in a global setting. The author provides a wide range of explanations for inequality and, using the latest research on the multiple impacts of inequality, surveys in detail the personal and social consequences of social inequality. Learning Goals Upon completing this book, readers will be able to: Understand that inequality is multidimensional Understand that it is essential to understand the explanations of the various forms of inequality in order to further a resolution to any inequality’s undesirable consequences Understand the discussion of inequality in its broader, historical cultural and international context
Publisher: Routledge
ISBN: 1317344235
Category : Social Science
Languages : en
Pages : 618
Book Description
A user-friendly introduction to social inequality. This text is a broad introduction to the many types of inequality– economics, status, political power, sex and gender, sexual orientation, race, and ethnicity– in U.S. society and in a global setting. The author provides a wide range of explanations for inequality and, using the latest research on the multiple impacts of inequality, surveys in detail the personal and social consequences of social inequality. Learning Goals Upon completing this book, readers will be able to: Understand that inequality is multidimensional Understand that it is essential to understand the explanations of the various forms of inequality in order to further a resolution to any inequality’s undesirable consequences Understand the discussion of inequality in its broader, historical cultural and international context
Agricultural Biotechnology: Latest Research and Trends
Author: Dinesh Kumar Srivastava
Publisher: Springer Nature
ISBN: 9811623392
Category : Technology & Engineering
Languages : en
Pages : 727
Book Description
This book caters to the need of researchers working in the ever-evolving field of agricultural biotechnology. It discusses and provides in-depth information about latest advancements happening in this field. The book discusses evolution of plant tissue culture techniques, development of doubled haploids technology, role of recombinant-DNA technology in crop improvement. It also provides an insight into the global status of genetically modified crops, use of RNAi technology and mi-RNAs in plant improvement. Chapters are also dedicated for different branches of ‘omics’ science including genomics, bioinformatics, proteomics, metabolomics and phenomics along with the use of molecular markers in tagging and mapping of various genes/QTLs of agronomic importance. This book also covers the role of enzymes and microbes in agriculture in productivity enhancement. It is of interest to teachers, researchers of biotechnology and agriculture scientists. Also the book serves as additional reading material for undergraduate and postgraduate students of biotechnology, agriculture, horticulture, forestry, ecology, soil science, and environmental sciences. National and international biotechnologists and agricultural scientists will also find this to be a useful read.
Publisher: Springer Nature
ISBN: 9811623392
Category : Technology & Engineering
Languages : en
Pages : 727
Book Description
This book caters to the need of researchers working in the ever-evolving field of agricultural biotechnology. It discusses and provides in-depth information about latest advancements happening in this field. The book discusses evolution of plant tissue culture techniques, development of doubled haploids technology, role of recombinant-DNA technology in crop improvement. It also provides an insight into the global status of genetically modified crops, use of RNAi technology and mi-RNAs in plant improvement. Chapters are also dedicated for different branches of ‘omics’ science including genomics, bioinformatics, proteomics, metabolomics and phenomics along with the use of molecular markers in tagging and mapping of various genes/QTLs of agronomic importance. This book also covers the role of enzymes and microbes in agriculture in productivity enhancement. It is of interest to teachers, researchers of biotechnology and agriculture scientists. Also the book serves as additional reading material for undergraduate and postgraduate students of biotechnology, agriculture, horticulture, forestry, ecology, soil science, and environmental sciences. National and international biotechnologists and agricultural scientists will also find this to be a useful read.
The American Class Structure in an Age of Growing Inequality
Author: Dennis L. Gilbert
Publisher: SAGE Publications
ISBN: 1506345980
Category : Social Science
Languages : en
Pages : 421
Book Description
With the latest data on income, wealth, earnings, and residential segregation by income, The American Class Structure in an Age of Growing Inequality, Tenth Edition describes a consistent pattern of growing inequality in the United States since the early 1970s. Focusing on the socioeconomic core of the American class system, author Dennis L. Gilbert examines how changes in the economy, family life, globalization, and politics are contributing to increasing class inequality. New to this Edition “The Class Basis of Trump's Victory” looks at why for the first time since before the 1932 election, the Republican presidential candidate won a greater proportion of the working class vote than the Democratic opponent. Addresses the role of technology and other factors in the decline of manufacturing employment and how the trend is crucial for understanding growing inequality and changes in working class family life. Offers international comparisons to show how the U.S. compares with other wealthy nations on social mobility and poverty, and questions our conception of the U.S. as a uniquely open society.
Publisher: SAGE Publications
ISBN: 1506345980
Category : Social Science
Languages : en
Pages : 421
Book Description
With the latest data on income, wealth, earnings, and residential segregation by income, The American Class Structure in an Age of Growing Inequality, Tenth Edition describes a consistent pattern of growing inequality in the United States since the early 1970s. Focusing on the socioeconomic core of the American class system, author Dennis L. Gilbert examines how changes in the economy, family life, globalization, and politics are contributing to increasing class inequality. New to this Edition “The Class Basis of Trump's Victory” looks at why for the first time since before the 1932 election, the Republican presidential candidate won a greater proportion of the working class vote than the Democratic opponent. Addresses the role of technology and other factors in the decline of manufacturing employment and how the trend is crucial for understanding growing inequality and changes in working class family life. Offers international comparisons to show how the U.S. compares with other wealthy nations on social mobility and poverty, and questions our conception of the U.S. as a uniquely open society.
116 Algebraic Inequalities from the AwesomeMath Year-Round Program
Author: Titu Andreescu
Publisher:
ISBN: 9780996874588
Category : Algebra
Languages : en
Pages : 0
Book Description
This book would certainly help Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various competitive levels. The inequalities from each section are ordered increasingly by the number of variables: one, two, three, four, and multi-variables. Each problem has at least one complete solution and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.
Publisher:
ISBN: 9780996874588
Category : Algebra
Languages : en
Pages : 0
Book Description
This book would certainly help Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various competitive levels. The inequalities from each section are ordered increasingly by the number of variables: one, two, three, four, and multi-variables. Each problem has at least one complete solution and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.
Language - The Loaded Weapon
Author: Dwight Bolinger
Publisher: Routledge
ISBN: 1317887867
Category : Language Arts & Disciplines
Languages : en
Pages : 198
Book Description
Today there is a reawakening interest in how language affects our lives. It comes with every threat to our safety and every promise of better times. It is a burning issue among minorities and a running debate between the attackers and defenders of our schools. Our deepest problems all are entangled with it: What shall be the official speech of emerging nations like Zambia and the Philippines, or even in certain areas of established ones like Belgium and Canada? What kind of English should be taught, or should there be no standard at all? How is government to make its regulations understandable? What are the verbal persuasions of television doing to our children? Which way does information flow, what are its biases, when does it inform and when conceal, and who benefits? Are the people who consider themselves experts in these matters as expert as they pretend to be? We feel adrift in a sea of words, and would welcome and a chart and a compass. Language – The Loaded Weapon offers a glimpse of what the recent study of language is beginning to tell us about these things. It explains in simple terms the essentials of linguistic form and meaning, and applies them to illuminate questions of correctness, truth, class and dialect, manipulation through advertising and propaganda, sexual and other discrimination, official obfuscation and the maintenance of power, and – most pervasive of all – language as the vital agent with which we build our worlds. Explaining language has been Dwight Bolinger’s life work, and as his invigorating new book amply shows he believes that what is true and important can also be made clear and pleasurable.
Publisher: Routledge
ISBN: 1317887867
Category : Language Arts & Disciplines
Languages : en
Pages : 198
Book Description
Today there is a reawakening interest in how language affects our lives. It comes with every threat to our safety and every promise of better times. It is a burning issue among minorities and a running debate between the attackers and defenders of our schools. Our deepest problems all are entangled with it: What shall be the official speech of emerging nations like Zambia and the Philippines, or even in certain areas of established ones like Belgium and Canada? What kind of English should be taught, or should there be no standard at all? How is government to make its regulations understandable? What are the verbal persuasions of television doing to our children? Which way does information flow, what are its biases, when does it inform and when conceal, and who benefits? Are the people who consider themselves experts in these matters as expert as they pretend to be? We feel adrift in a sea of words, and would welcome and a chart and a compass. Language – The Loaded Weapon offers a glimpse of what the recent study of language is beginning to tell us about these things. It explains in simple terms the essentials of linguistic form and meaning, and applies them to illuminate questions of correctness, truth, class and dialect, manipulation through advertising and propaganda, sexual and other discrimination, official obfuscation and the maintenance of power, and – most pervasive of all – language as the vital agent with which we build our worlds. Explaining language has been Dwight Bolinger’s life work, and as his invigorating new book amply shows he believes that what is true and important can also be made clear and pleasurable.
Putnam and Beyond
Author: Răzvan Gelca
Publisher: Springer
ISBN: 3319589881
Category : Mathematics
Languages : en
Pages : 857
Book Description
This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
Publisher: Springer
ISBN: 3319589881
Category : Mathematics
Languages : en
Pages : 857
Book Description
This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
Titu Andreescu and Mark Saul
Author: Titu Andreescu
Publisher: American Mathematical Soc.
ISBN: 1470434644
Category : Juvenile Nonfiction
Languages : en
Pages : 137
Book Description
This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not “linear”. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also “secret” pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover—and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Publisher: American Mathematical Soc.
ISBN: 1470434644
Category : Juvenile Nonfiction
Languages : en
Pages : 137
Book Description
This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not “linear”. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also “secret” pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover—and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.