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The Mathematics of Options

by Michael C. Thomsett

This book is written for the experienced portfolio manager and professional options traders. It is a practical guide offering how to apply options math in a trading world that demands mathematical measurement. Every options trader deals with an array of calculations: beginners learn to identify risks and opportunities using a short list of strategies, while researchers and academics turn to advanced technical manuals. However, almost no books exist for the experienced portfolio managers and professional options traders who fall between these extremes. Michael C. Thomsett addresses this glaring gap with The Mathematics of Options, a practical guide with actionable tools for the practical application of options math in a world that demands quantification. It serves as a valuable reference for advanced methods of evaluating issues of pricing, payoff, probability, and risk. In his characteristic approachable style, Thomsett simplifies complex hot button issues--such as strategic payoffs, return calculations, and hedging options--that may be mentioned in introductory texts but are often underserved. The result is a comprehensive book that helps traders understand the mathematic concepts of options trading so that they can improve their skills and outcomes.

The Mathematics of Patterns, Symmetries, and Beauties in Nature: In Honor of John Adam (STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health)

by Bourama Toni

This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

The Mathematics of Paul Erdős I

by Jaroslav Nešetřil Ronald L. Graham Steve Butler

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdős, and an updated list of publications. The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdős by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdős' favorite geometry problems.

The Mathematics of Politics

by Daniel H. Ullman E. Arthur Robinson

It is because mathematics is often misunderstood, it is commonly believed it has nothing to say about politics. The high school experience with mathematics, for so many the lasting impression of the subject, suggests that mathematics is the study of numbers, operations, formulas, and manipulations of symbols. Those believing this is the extent of mathematics might conclude mathematics has no relevance to politics. This book counters this impression. The second edition of this popular book focuses on mathematical reasoning about politics. In the search for ideal ways to make certain kinds of decisions, a lot of wasted effort can be averted if mathematics can determine that finding such an ideal is actually impossible in the first place. In the first three parts of this book, we address the following three political questions: (1) Is there a good way to choose winners of elections? (2) Is there a good way to apportion congressional seats? (3) Is there a good way to make decisions in situations of conflict and uncertainty? In the fourth and final part of this book, we examine the Electoral College system that is used in the United States to select a president. There we bring together ideas that are introduced in each of the three earlier parts of the book.

The Mathematics of Thermal Modeling: An Introduction to the Theory of Laser Material Processing, 2e

by John Michael Dowden

The Mathematics of Thermal Modeling, Second Edition, provides an introduction to the basics of the mathematics and physics needed to understand and use the physical principles employed in constructing models of a number of aspects of thermal modeling in industrial processes, notably laser welding; most of the techniques are applicable to many other technological processes, however.The book demonstrates how insight can be gained from mathematical enquiry at a simple level and helps workers understand the way in which more sophisticated models can be constructed. Some necessary but less familiar mathematical techniques are explained in greater detail than before and some discussion of wave-like features in welds is now included. An understanding will be gained of the importance of studying the interaction of multiple features.The book is equally suitable for engineers and material scientists at the Master's or first-year PhD level at university, to similar students with a background in mathematics or physics who are new to laser or industrial technology, or for research workers coming to mathematical modeling of industrial thermal processes for the first time, whatever stage they have reached in their career development.

The Mathematics of Urban Morphology (Modeling and Simulation in Science, Engineering and Technology)

by Michael Batty Luca D'Acci

This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. The chapters collected here make a clear case for the importance of tools and methods to understand, model, and simulate the formation and evolution of cities.The chapters cover a wide variety of topics in urban morphology, and are conveniently organized by their mathematical principles. The first part covers fractals and focuses on how self-similar structures sort themselves out through competition. This is followed by a section on cellular automata, and includes chapters exploring how they generate fractal forms. Networks are the focus of the third part, which includes street networks and other forms as well. Chapters that examine complexity and its relation to urban structures are in part four.The fifth part introduces a variety of other quantitative models that can be used to study urban morphology. In the book’s final section, a series of multidisciplinary commentaries offers readers new ways of looking at the relationship between mathematics and urban forms.Being the first book on this topic, Mathematics of Urban Morphology will be an invaluable resource for applied mathematicians and anyone studying urban morphology. Additionally, anyone who is interested in cities from the angle of economics, sociology, architecture, or geography will also find it useful."This book provides a useful perspective on the state of the art with respect to urban morphology in general and mathematics as tools and frames to disentangle the ideas that pervade arguments about form and function in particular. There is much to absorb in the pages that follow and there are many pointers to ways in which these ideas can be linked to related theories of cities, urban design and urban policy analysis as well as new movements such as the role of computation in cities and the idea of the smart city. Much food for thought. Read on, digest, enjoy." From the foreword by Michael Batty

The Mathematics of Various Entertaining Subjects

by Raymond M. Smullyan Jennifer Beineke Jason Rosenhouse

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics.Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more.Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

The Mathematics of Voting and Apportionment: An Introduction (Compact Textbooks in Mathematics)

by Sherif El-Helaly

This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics.The text’s three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs; those requiring more complex proofs, such as Arrow’s theorems on dictatorship, Gibbard’s theorem on oligarchy, and Gärdenfors’ theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to “prove or disprove” types.The Mathematics of Voting and Apportionment will be particularly well-suited for a course in the mathematics of voting and apportionment for upper-level undergraduate and beginning graduate students in economics, political science, or philosophy, or for an elective course for math majors. In addition, this book will be a suitable read for to any curious mathematician looking for an exposition to these unpublicized mathematical applications.No political science prerequisites are needed. Mathematical prerequisites (included in the book) are minimal: elementary concepts in combinatorics, graph theory, order relations, and the harmonic and geometric means. What is needed most is the level of maturity that enables the student to think logically, derive results from axioms and hypotheses, and intuitively grasp logical notions such as “contrapositive” and “counterexample.”

The Mathematics of the Gods and the Algorithms of Men: A Cultural History

by Paolo Zellini

A masterful cultural history of mathematics from bestselling Italian mathematician and philosopher Paolo Zellini.Is mathematics a discovery or an invention? Have we invented numbers or do they truly exist? What sort of reality should we attribute to them? Mathematics has always been a way of understanding and ordering the world: from sacred ancient texts and pre-Socratic philosophers to twentieth-century logicians such as Russell and Frege and beyond. In this masterful, elegant book, mathematician and philosopher Paolo Zellini offers a brief cultural and intellectual history of mathematics, from ancient Greece to India to our contemporary obsession with algorithms, showing how mathematical thinking is inextricably linked with philosophical, existential and religious questions—and indeed with our cosmic understanding of the world.

The Mathematics of the Modernist Villa: Architectural Analysis Using Space Syntax And Isovists (Mathematics And The Built Environment Ser. #3)

by Michael J. Ostwald Michael J. Dawes

This book presents the first detailed mathematical analysis of the social, cognitive and experiential properties of Modernist domestic architecture.The Modern Movement in architecture, which came to prominence during the first half of the twentieth century, may have been famous for its functional forms and machine-made aesthetic, but it also sought to challenge the way people inhabit, understand and experience space. Ludwig Mies van der Rohe’s buildings were not only minimalist and transparent, they were designed to subvert traditional social hierarchies. Frank Lloyd Wright’s organic Modernism not only attempted to negotiate a more responsive relationship between nature and architecture, but also shape the way people experience space. Richard Neutra’s Californian Modernism is traditionally celebrated for its sleek, geometric forms, but his intention was to use design to support a heightened understanding of context. Glenn Murcutt’s pristine pavilions, seemingly the epitome of regional Modernism, actually raise important questions about the socio-spatial structure of architecture. Rather than focussing on form or style in Modernism, this book examines the spatial, social and experiential properties of thirty-seven designs by Wright, Mies, Neutra and Murcutt. The computational and mathematical methods used for this purpose are drawn from space syntax, isovist geometry and graph theory. The specific issues that are examined include: the sensory and emotional appeal of space and form; shifting social and spatial structures in architectural planning; wayfinding and visual understanding; and the relationship between form and program.

The Mathematics of the Universe

by Soledad Romero Mariño

The lyrical verses and captivating illustrations of this picture book explore how the concepts and patterns of mathematics shape the natural world. The universe seems in such disarray, but it follows an order, not one thing astray. So the planets and stars have been created, atoms brought together as if they were fated. Nature's secrets are brought to life through an innovative blend of science, poetry, and art, making complex math concepts accessible and engaging for children aged five to nine. Young readers will discover the hidden mathematical patterns in everyday phenomena, from honeycombs and butterflies to celestial bodies and intricate geometric shapes. • This charming STEM educational resource encourages students to see the world through a mathematical lens. • Spheres, hexagons, symmetry, fractals, and spirals are among the concepts explored. • Each mathematical concept is presented alongside an observation, linking math to the universe's natural rhythms. • Thought-provoking quotes from renowned figures such as Galileo, Marcel Proust, and Jules Verne add depth to the learning experience. • The book’s large size, die-cut cover, and gorgeous art make it ideal for gifting and displaying.

The Mathieu Groups (Cambridge Tracts In Mathematics Ser. #214)

by A. A. Ivanov

The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.

The Maths Behind...: Discover The Mathematics Of Everyday Events (The Behind... series)

by Colin Beveridge

The Maths Behind over 60 everyday phenomena. Have you ever wondered why traffic jams often turn out to have no cause when you get to the end of the queue? There's a mathematical explanation for that. Or ever considered whether some lotteries might be easier to win than others? There's a formula for that too. If you've ever been curious about the mathematical strings that hold our world together, then look no further than The Maths Behind.This intriguing and illuminating book takes a scientific view of your everyday world, and can give you the answers to all the niggling questions in your life, along with many you never even thought to ask. From the science behind roller coasters, to the maths behind how to consistently win at Monopoly (and become very unpopular with your family), this is a fascinating look at the mathematical forces that run beneath our everyday transactions.

The Maths Behind...: Discover The Mathematics Of Everyday Events (The\behind... Ser.)

by Colin Beveridge

The Maths Behind over 60 everyday phenomena. Have you ever wondered why traffic jams often turn out to have no cause when you get to the end of the queue? There's a mathematical explanation for that. Or ever considered whether some lotteries might be easier to win than others? There's a formula for that too. If you've ever been curious about the mathematical strings that hold our world together, then look no further than The Maths Behind.This intriguing and illuminating book takes a scientific view of your everyday world, and can give you the answers to all the niggling questions in your life, along with many you never even thought to ask. From the science behind roller coasters, to the maths behind how to consistently win at Monopoly (and become very unpopular with your family), this is a fascinating look at the mathematical forces that run beneath our everyday transactions.

The Maths Handbook: Everyday Maths Made Simple

by Richard Elwes

This is the perfect introduction for those who have a lingering fear of maths. If you think that maths is difficult, confusing, dull or just plain scary, then The Maths Handbook is your ideal companion. Covering all the basics including fractions, equations, primes, squares and square roots, geometry and fractals, Dr Richard Elwes will lead you gently towards a greater understanding of this fascinating subject. Even apparently daunting concepts are explained simply, with the assistance of useful diagrams, and with a refreshing lack of jargon.So whether you're an adult or a student, whether you like Sudoku but hate doing sums, or whether you've always been daunted by numbers at work, school or in everyday life, you won't find a better way of overcoming your nervousness about numbers and learning to enjoy making the most of mathematics.

The Maths Handbook: Everyday Maths Made Simple

by Richard Elwes

This is the perfect introduction for those who have a lingering fear of maths. If you think that maths is difficult, confusing, dull or just plain scary, then The Maths Handbook is your ideal companion. Covering all the basics including fractions, equations, primes, squares and square roots, geometry and fractals, Dr Richard Elwes will lead you gently towards a greater understanding of this fascinating subject. Even apparently daunting concepts are explained simply, with the assistance of useful diagrams, and with a refreshing lack of jargon.So whether you're an adult or a student, whether you like Sudoku but hate doing sums, or whether you've always been daunted by numbers at work, school or in everyday life, you won't find a better way of overcoming your nervousness about numbers and learning to enjoy making the most of mathematics.

The Maths Pie

by Cornelia Wera Krueger

Maths sometimes looks scary, but it isn’t! Trust me, you’ve got this! Maths in primary school isn’t easy for everyone, especially Imani. For Imani it is just frustrating, scary, and a book with seven seals. In order to help Imani, her mother comes up with a brilliant and yummy idea, The Maths Pie, to take her daughter’s fear of maths away, and show her that is actually isn’t that bad and can even be quite easy. Read through till the end, as there is a surprise waiting for you. By the way: I, the author of this book, had a fear of maths, so rest assured you’re not alone in this.

The Maths of Life and Death

by Kit Yates

*SELECTED AS ONE OF THE SUNDAY TIMES SCIENCE BOOKS OF THE YEAR* "This is an exquisitely interesting book. It's a deeply serious one too and, for those like me who have little maths, it's delightfully readable" - IAN MCEWAN"An exciting new voice in the world of science communication" - MARCUS DU SAUTOY"An extremely thoughtful, articulate and accessible insight into mathematics in the real world" - ALEX BELLOS"Kit Yates is a brilliant explainer and storyteller" - STEVEN STROGATZ__________Maths is the story of the world around us, and the wisdom it gives us can be the difference between success and disaster.We are all doing maths all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few of us really appreciate the full power of maths - the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward.In this eye-opening and extraordinary book, Yates explores the true stories of life-changing events in which the application - or misapplication - of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice and the unwitting victims of software glitches. We follow stories of investors who have lost fortunes and parents who have lost children, all because of mathematical misunderstandings.Along the way, Yates arms us with simple mathematical rules and tools that can help us make better decisions in our increasingly quantitative society. You will discover why it's always sensible to question a statistic, often vital to ask for a second opinion and sometimes surprisingly handy to stick to the 37% rule...

The Maths of Life and Death

by Kit Yates

Maths is the story of the world around us, and the wisdom it gives us can be the difference between success and disaster.We are all doing maths all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few of us really appreciate the full power of maths - the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward.In this eye-opening and extraordinary book, Yates explores the true stories of life-changing events in which the application - or misapplication - of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice and the unwitting victims of software glitches. We follow stories of investors who have lost fortunes and parents who have lost children, all because of mathematical misunderstandings.Along the way, Yates arms us with simple mathematical rules and tools that can help us make better decisions in our increasingly quantitative society. You will discover why it's always sensible to question a statistic, often vital to ask for a second opinion and sometimes surprisingly handy to stick to the 37% rule...(P)2019 Quercus Editions Limited

The Matrix Perturbation Method in Quantum Mechanics

by Francisco Soto-Eguibar Braulio Misael Villegas-Martínez Héctor Manuel Moya-Cessa

This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method's applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

by John N. Bray Derek F. Holt Colva M. Roney-Dougal

This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.

The Meaning of Proofs: Mathematics as Storytelling

by Gabriele Lolli

Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story.In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative. Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid&’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is not the mere manipulation of formulas.

The Meaning of Something: Rethinking the Logic and the Unity of the Ontology (Logic, Argumentation & Reasoning #29)

by Fosca Mariani Zini

This innovative volume investigates the meaning of ‘something’ in different recent philosophical traditions in order to rethink the logic and the unity of ontology, without forgetting to compare these views to earlier significative accounts in the history of philosophy. In fact, the revival of interest in “something” in the 19th and 20th centuries as well as in contemporary philosophy can easily be accounted for: it affords the possibility for asking the question: what is there? without engaging in predefined speculative assumptions The issue about “something” seems to avoid any naive approach to the question about what there is, so that it is treated in two main contemporary philosophical trends: “material ontology”, which aims at taking “inventory” of what there is, of everything that is; and “formal ontology”, which analyses the structural features of all there is, whatever it is. The volume advances cutting-edge debates on what is the first et the most general item in ontology, that is to say “something”, because the relevant features of the conceptual core of something are: non-nothingness, otherness. Something means that one being is different from others. The relationality belongs to something.: Therefore, the volume advances cutting-edge debates in phenomenology, analytic philosophy, formal and material ontology, traditional metaphysics.

The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals)

by Hilary Putnam

First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the direction of Putnam’s mentor, Hans Reichenbach, the book considers Reichenbach’s idealization of very long finite sequences as infinite sequences and the bearing this has upon Reichenbach’s pragmatic vindication of induction.

The Measure of America, 2010-2011: Mapping Risks and Resilience (Social Science Research Council #9)

by Kristen Lewis Sarah Burd-Sharps

The Measure of America, 2010-2011, is the definitive report on the overall well-being of all Americans. How are Americans doing—compared to one another and compared to the rest of the world? This important, easy-to-understand guide will provide all of the essential information on the current state of America.This fully illustrated report, with over 130 color images, is based on the groundbreaking American Human Development Index, which provides a single measure of the well-being for all Americans, disaggregated by state and congressional district, as well as by race, gender, and ethnicity. The Index rankings of the 50 states and 435 congressional districts reveal huge disparities in the health, education, and living standards of different groups. For example, overall, Connecticut ranked first among states on the 2008-2009 Index, and Mississippi ranked last, suggesting that there is a 30-year gap in human development between the two states. Further, among congressional districts, New York’s 14th District, in Manhattan, ranked first, and California’s 20th District, near Fresno, ranked last. The average resident of New York’s 14th District earned over three times as much as the average resident of California’s 20th District, lived over four years longer, and was ten times as likely to have a college degree.The second in the American Human Development Report series, the 2010-2011 edition features a completely updated Index, new findings on the well-being of different racial and ethnic groups from state to state, and a closer look at disparities within major metro areas. It also shines a spotlight on threats to progress and opportunity for some Americans as well as highlighting tested approaches to fosteringresilience among different groups.Using a revelatory framework for explaining the very nature of humanprogress, this report can be used not only as a way to measure America but also to build upon past policy successes, protect the progress made over the last half century from new risks, and create an infrastructure of opportunity that can serve a new generation of Americans. Beautifully illustrated with stunning four-color graphics that allow for a quick visual understanding of often complex but important issues, The Measure of America is essential reading for all Americans, especially for social scientists, policy makers, and pundits who want to understand where Americans stand today.

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