New, Newer, Newest Inequalities

New, Newer, Newest Inequalities PDF Author: Titu Andreescu
Publisher:
ISBN: 9781735831503
Category :
Languages : en
Pages :

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New, Newer, Newest Inequalities

New, Newer, Newest Inequalities PDF Author: Titu Andreescu
Publisher:
ISBN: 9781735831503
Category :
Languages : en
Pages :

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Book Description


Understanding Inequalities

Understanding Inequalities PDF Author: Lucinda Platt
Publisher: Polity
ISBN: 074564175X
Category : Social Science
Languages : en
Pages : 248

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Book Description
Bringing together the latest empirical evidence with a discussion of sociological debates surrounding inequality, this book explores a broad range of inequalities in people's lives. As well as treating the core sociological topics of class, ethnicity and gender, it examines how inequalities are experienced across a variety of settings, including education, health, geography and housing, income and wealth, and how they cumulate across the life course. Richly illustrated with graphs and figures showing the extent of inequalities and the differences between social groups, the book demonstrates how people's lives are structured by inequalities across multiple dimensions of their lives. Throughout, the text pays attention to how we know what we know about inequality: what is measured and how, what is left out of the picture, and what implications this has for our understanding of specific inequalities. Importantly, the book also highlights the intersections between different sources or forms of inequality, and the ways that bringing an intersectional lens to bear on topics can highlight and challenge the assumptions about how they operate. Designed for second-year undergraduates and above, this book provides an engaging overview of social stratification and challenges readers to think about how inequalities are embedded across society.

Means and Their Inequalities

Means and Their Inequalities PDF Author: P.S. Bullen
Publisher: Springer Science & Business Media
ISBN: 9401722269
Category : Mathematics
Languages : en
Pages : 476

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Book Description
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.

Titu Andreescu and Mark Saul

Titu Andreescu and Mark Saul PDF Author: Titu Andreescu
Publisher: American Mathematical Soc.
ISBN: 1470434644
Category : Juvenile Nonfiction
Languages : en
Pages : 137

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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.

116 Algebraic Inequalities from the AwesomeMath Year-Round Program

116 Algebraic Inequalities from the AwesomeMath Year-Round Program PDF Author: Titu Andreescu
Publisher:
ISBN: 9780996874588
Category : Algebra
Languages : en
Pages : 0

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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.

Inequalities

Inequalities PDF Author: Ingram Olkin
Publisher: Academic Press
ISBN: 0080959970
Category : Mathematics
Languages : en
Pages : 590

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Book Description
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.

Social Inequality

Social Inequality PDF Author: Charles E. Hurst
Publisher: Routledge
ISBN: 1317344235
Category : Social Science
Languages : en
Pages : 618

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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

The Mathematical Theory of Finite Element Methods

The Mathematical Theory of Finite Element Methods PDF Author: Susanne Brenner
Publisher: Springer Science & Business Media
ISBN: 1475736584
Category : Mathematics
Languages : en
Pages : 369

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Book Description
A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide

Fractured Identities

Fractured Identities PDF Author: Harriet Bradley
Publisher: John Wiley & Sons
ISBN: 9780745644073
Category : Social Science
Languages : en
Pages : 0

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Book Description
The gap between rich and poor, included and excluded, advantaged and disadvantaged is steadily growing as inequality becomes one of the most pressing issues of our times. The new edition of this popular text explores current patterns of inequality in the context of increasing globalization, world recession and neoliberal policies of austerity. Within a framework of intersectionality, Bradley discusses various theories and concepts for understanding inequalities of class, gender, ethnicity and age, while an entirely new chapter touches on the social divisions arising from disabilities, non-heterosexual orientations and religious affiliation. Bradley argues that processes of fracturing, which complicate the way we as individuals identify and locate ourselves in relation to the rest of society, exist alongside a tendency to social polarization: at one end of the social hierarchy are the super-rich; at the other end, long-term unemployment and job insecurity are the fate of many, especially the young. In the reordering of the social hierarchy, members of certain ethnic minority groups, disabled people and particular segments of the working class suffer disproportionately, while prevailing economic conditions threaten to offset the gains made by women in past decades. Fractured Identities shows how only by understanding and challenging these developments can we hope to build a fairer and more socially inclusive society.

Let's Review: Integrated Algebra

Let's Review: Integrated Algebra PDF Author: Lawrence S. Leff
Publisher: Barrons Educational Series
ISBN: 9780764135910
Category : Study Aids
Languages : en
Pages : 0

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Book Description
Reflecting the latest New York State curriculum change, this brand-new addition to Barron’s Let’s Review series covers all topics prescribed by the New York State Board of Regents for the new Integrated Algebra Regents exam, which replaces the Math A Regents exam. This book stresses rapid learning, using many step-by-step demonstration examples, helpful diagrams, enlightening “Math Fact” summaries, and graphing calculator approaches. Fourteen chapters review the following topics: sets, operations, and algebraic language; linear equations and formulas; problem solving and technology; ratios, rates, and proportions; polynomials and factoring; rational expressions and equations; radicals and right triangles; area and volume; linear equations and graphing; functions, graphs, and models; systems of linear equations and inequalities; quadratic and exponential functions; statistics and visual representations of data; and counting and probability of compound events. Exercise sections within each chapter feature a large sampling of Regents-type multiple-choice and extended response questions, with answers at the back of the book. Students will find this book helpful when they need additional explanation and practice on a troublesome topic, or when they want to review specific topics before taking a classroom test or the Regents exam. Teachers will value it as a lesson-planning aid, and as a source of classroom exercises, homework problems, and test questions.