Mathematics Across The Iron Curtain

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Mathematics across the Iron Curtain

Author : Christopher Hollings
Publisher : American Mathematical Society
ISBN 13 : 1470414937
Total Pages : 457 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics across the Iron Curtain by : Christopher Hollings

Download or read book Mathematics across the Iron Curtain written by Christopher Hollings and published by American Mathematical Society. This book was released on 2014-07-16 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.

Scientific Communication Across the Iron Curtain

Author : Christopher D. Hollings
Publisher : Springer
ISBN 13 : 3319253468
Total Pages : 117 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Scientific Communication Across the Iron Curtain by : Christopher D. Hollings

Download or read book Scientific Communication Across the Iron Curtain written by Christopher D. Hollings and published by Springer. This book was released on 2015-12-12 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise introduction to the tangled issues of communication between Russian and Western scientists during the Cold War. It details the extent to which mid-twentieth-century researchers and practitioners were able to communicate with their counterparts on the opposite side of the Iron Curtain. Drawing upon evidence from a range of disciplines, a decade-by-decade account is first given of the varying levels of contact that existed via private correspondence and conference attendance. Next, the book examines the exchange of publications and the availability of one side's work in the libraries of the other. It then goes on to compare general language abilities on opposite sides of the Iron Curtain, with comments on efforts in the West to learn Russian and the systematic translation of Russian work. In the end, author Christopher Hollings argues that physical accessibility was generally good in both directions, but that Western scientists were afflicted by greater linguistic difficulties than their Soviet counterparts whose major problems were bureaucratic in nature. This volume will be of interest to historians of Cold War science, particularly those who study communications and language issues. In addition, it will be an ideal starting pointing for anyone looking to know more about this fascinating area.

Algebraic Structures and Applications

Author : Sergei Silvestrov
Publisher : Springer Nature
ISBN 13 : 3030418502
Total Pages : 976 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Algebra & Geometry

Author : Mark V. Lawson
Publisher : CRC Press
ISBN 13 : 1000402509
Total Pages : 424 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Algebra & Geometry by : Mark V. Lawson

Download or read book Algebra & Geometry written by Mark V. Lawson and published by CRC Press. This book was released on 2021-06-23 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra & Geometry: An Introduction to University Mathematics, Second Edition provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first few chapters cover foundational topics, including the importance of proofs and a discussion of the properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solutions of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra. New to the second edition Several updated chapters, plus an all-new chapter discussing the construction of the real numbers by means of approximations by rational numbers Includes fifteen short ‘essays’ that are accessible to undergraduate readers, but which direct interested students to more advanced developments of the material Expanded references Contains chapter exercises with solutions provided online at www.routledge.com/9780367563035

Wagner’s Theory of Generalised Heaps

Author : Christopher D. Hollings
Publisher : Springer
ISBN 13 : 3319636219
Total Pages : 195 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Wagner’s Theory of Generalised Heaps by : Christopher D. Hollings

Download or read book Wagner’s Theory of Generalised Heaps written by Christopher D. Hollings and published by Springer. This book was released on 2017-09-09 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.

The Case of Academician Nikolai Nikolaevich Luzin

Author : Sergei S. Demidov
Publisher : American Mathematical Soc.
ISBN 13 : 1470426080
Total Pages : 410 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Case of Academician Nikolai Nikolaevich Luzin by : Sergei S. Demidov

Download or read book The Case of Academician Nikolai Nikolaevich Luzin written by Sergei S. Demidov and published by American Mathematical Soc.. This book was released on 2016-05-25 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Soviet school, one of the glories of twentieth-century mathematics, faced a serious crisis in the summer of 1936. It was suffering from internal strains due to generational conflicts between the young talents and the old establishment. At the same time, Soviet leaders (including Stalin himself) were bent on “Sovietizing” all of science in the USSR by requiring scholars to publish their works in Russian in the Soviet Union, ending the nearly universal practice of publishing in the West. A campaign to “Sovietize” mathematics in the USSR was launched with an attack on Nikolai Nikolaevich Luzin, the leader of the Soviet school of mathematics, in Pravda. Luzin was fortunate in that only a few of the most ardent ideologues wanted to destroy him utterly. As a result, Luzin, though humiliated and frightened, was allowed to make a statement of public repentance and then let off with a relatively mild reprimand. A major factor in his narrow escape was the very abstractness of his research area (descriptive set theory), which was difficult to incorporate into a propaganda campaign aimed at the broader public. The present book contains the transcripts of five meetings of the Academy of Sciences commission charged with investigating the accusations against Luzin, meetings held in July of 1936. Ancillary material from the Soviet press of the time is included to place these meetings in context.

Residuated Structures in Algebra and Logic

Author : George Metcalfe
Publisher : American Mathematical Society
ISBN 13 : 1470469855
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Residuated Structures in Algebra and Logic by : George Metcalfe

Download or read book Residuated Structures in Algebra and Logic written by George Metcalfe and published by American Mathematical Society. This book was released on 2023-11-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to residuated structures, viewed as a common thread binding together algebra and logic. The framework includes well-studied structures from classical abstract algebra such as lattice-ordered groups and ideals of rings, as well as structures serving as algebraic semantics for substructural and other non-classical logics. Crucially, classes of these structures are studied both algebraically, yielding a rich structure theory along the lines of Conrad's program for lattice-ordered groups, and algorithmically, via analytic sequent or hypersequent calculi. These perspectives are related using a natural notion of equivalence for consequence relations that provides a bridge offering benefits to both sides. Algorithmic methods are used to establish properties like decidability, amalgamation, and generation by subclasses, while new insights into logical systems are obtained by studying associated classes of structures. The book is designed to serve the purposes of novices and experts alike. The first three chapters provide a gentle introduction to the subject, while subsequent chapters provide a state-of-the-art account of recent developments in the field.

Mathematics Without Borders

Author : Olli Lehto
Publisher : Springer Science & Business Media
ISBN 13 : 1461206138
Total Pages : 409 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics Without Borders by : Olli Lehto

Download or read book Mathematics Without Borders written by Olli Lehto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.

From Arithmetic to Zeta-Functions

Author : Jürgen Sander
Publisher : Springer
ISBN 13 : 3319282034
Total Pages : 552 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis From Arithmetic to Zeta-Functions by : Jürgen Sander

Download or read book From Arithmetic to Zeta-Functions written by Jürgen Sander and published by Springer. This book was released on 2016-12-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.

Max Dehn

Author : Jemma Lorenat
Publisher : American Mathematical Society
ISBN 13 : 1470461064
Total Pages : 292 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Max Dehn by : Jemma Lorenat

Download or read book Max Dehn written by Jemma Lorenat and published by American Mathematical Society. This book was released on 2024-10-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Dehn (1878?1952) is known to mathematicians today for his seminal contributions to geometry and topology?Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert?s famous problems. However, Dehn's influence as a scholar and teacher extended far beyond his mathematics. Dehn also lived a remarkable life, described in this book in three phases. The first phase focuses on his early career as one of David Hilbert?s most gifted students. The second, after World War I, treats his time in Frankfurt where he led an intimate community of mathematicians in explorations of historical texts. The final phase, after 1938, concerns his flight from Nazi Germany to Scandinavia and eventually to the United States where, after various teaching experiences, the Dehns settled at iconic Black Mountain College. This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn?s mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.

Fifty Years of Women in Mathematics

Author : Janet L. Beery
Publisher : Springer Nature
ISBN 13 : 3030826589
Total Pages : 1087 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Fifty Years of Women in Mathematics by : Janet L. Beery

Download or read book Fifty Years of Women in Mathematics written by Janet L. Beery and published by Springer Nature. This book was released on 2022-04-21 with total page 1087 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Association for Women in Mathematics (AWM), the oldest organization in the world for women in mathematics, had its fiftieth anniversary in 2021. This collection of refereed articles, illustrated by color photographs, reflects on women in mathematics and the organization as a whole. Some articles focus on the situation for women in mathematics at various times and places, including other countries. Others describe how individuals have shaped AWM, and, in turn, how the organization has impacted individuals as well as the broader mathematical community. Some are personal stories about careers in mathematics. Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM covers a span from AWM’s beginnings through the following fifty years. The volume celebrates AWM and its successes but does not shy away from its challenges. The book is designed for a general audience. It provides interesting and informative reading for people interested in mathematics, gender equity, or organizational structures; teachers of mathematics; students at the high school, college, and graduate levels; and members of more recently established organizations for women in mathematics and related fields or prospective founders of such organizations.

Leaders in Mathematics Education: Experience and Vision

Author : Alexander Karp
Publisher : Springer
ISBN 13 : 9462097194
Total Pages : 217 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Leaders in Mathematics Education: Experience and Vision by : Alexander Karp

Download or read book Leaders in Mathematics Education: Experience and Vision written by Alexander Karp and published by Springer. This book was released on 2014-09-11 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of interviews with the most important mathematics educators of our time. These interviews were originally published in the International Journal for the History of Mathematics Education and are now being offered to a wider readership for the first time, collected in a single volume. Among the individuals interviewed are scholars from Brazil, France, Germany, Russia, the United Kingdom, and the United States who have made a significant impact on the development of mathematics education in their countries and internationally. The interviews cover their biographies, including their memories of their own studies in mathematics and their intellectual formation, their experience as researchers and teachers, and their visions of the history and future development of mathematics education. The book will be of interest to anyone involved in research in mathematics education, and anyone interested in the history of mathematics education.

History of Mathematics Teaching and Learning

Author : Alexander Karp
Publisher : Springer
ISBN 13 : 3319316168
Total Pages : 47 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis History of Mathematics Teaching and Learning by : Alexander Karp

Download or read book History of Mathematics Teaching and Learning written by Alexander Karp and published by Springer. This book was released on 2016-07-26 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

The Abel Prize 2008-2012

Author : Helge Holden
Publisher : Springer Science & Business Media
ISBN 13 : 3642394493
Total Pages : 561 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Abel Prize 2008-2012 by : Helge Holden

Download or read book The Abel Prize 2008-2012 written by Helge Holden and published by Springer Science & Business Media. This book was released on 2014-01-21 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the years 2008-2012, this book profiles the life and work of recent winners of the Abel Prize: · John G. Thompson and Jacques Tits, 2008 · Mikhail Gromov, 2009 · John T. Tate Jr., 2010 · John W. Milnor, 2011 · Endre Szemerédi, 2012. The profiles feature autobiographical information as well as a description of each mathematician's work. In addition, each profile contains a complete bibliography, a curriculum vitae, as well as photos — old and new. As an added feature, interviews with the Laureates are presented on an accompanying web site (http://extras.springer.com/). The book also presents a history of the Abel Prize written by the historian Kim Helsvig, and includes a facsimile of a letter from Niels Henrik Abel, which is transcribed, translated into English, and placed into historical perspective by Christian Skau. This book follows on The Abel Prize: 2003-2007, The First Five Years (Springer, 2010), which profiles the work of the first Abel Prize winners.

Framing Global Mathematics

Author : Norbert Schappacher
Publisher : Springer Nature
ISBN 13 : 3030956830
Total Pages : 20 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Framing Global Mathematics by : Norbert Schappacher

Download or read book Framing Global Mathematics written by Norbert Schappacher and published by Springer Nature. This book was released on 2022-06-15 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical research. Today, striking evidence of globalized mathematics is provided by countless international meetings and the worldwide repository ArXiv. The text follows the sinuous path that was taken to reach this state, from the long nineteenth century, through the two wars, to the present day. International cooperation in mathematics was well established by 1900, centered in Europe. The first International Mathematical Union, IMU, founded in 1920 and disbanded in 1932, reflected above all the trauma of WW I. Since 1950 the current IMU has played an increasing role in defining mathematical excellence, as is shown both in the historical narrative and by analyzing data about the International Congresses of Mathematicians. For each of the three periods discussed, interactions are explored between world politics, the advancement of scientific infrastructures, and the inner evolution of mathematics. Readers will thus take a new look at the place of mathematics in world culture, and how international organizations can make a difference. Aimed at mathematicians, historians of science, scientists, and the scientifically inclined general public, the book will be valuable to anyone interested in the history of science on an international level.

Larisa Maksimova on Implication, Interpolation, and Definability

Author : Sergei Odintsov
Publisher : Springer
ISBN 13 : 3319699172
Total Pages : 374 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Larisa Maksimova on Implication, Interpolation, and Definability by : Sergei Odintsov

Download or read book Larisa Maksimova on Implication, Interpolation, and Definability written by Sergei Odintsov and published by Springer. This book was released on 2018-01-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume focuses on the work of Professor Larisa Maksimova, providing a comprehensive account of her outstanding contributions to different branches of non-classical logic. The book covers themes ranging from rigorous implication, relevance and algebraic logic, to interpolation, definability and recognizability in superintuitionistic and modal logics. It features both her scientific autobiography and original contributions from experts in the field of non-classical logics. Professor Larisa Maksimova's influential work involved combining methods of algebraic and relational semantics. Readers will be able to trace both influences on her work, and the ways in which her work has influenced other logicians. In the historical part of this book, it is possible to trace important milestones in Maksimova’s career. Early on, she developed an algebraic semantics for relevance logics and relational semantics for the logic of entailment. Later, Maksimova discovered that among the continuum of superintuitionisitc logics there are exactly three pretabular logics. She went on to obtain results on the decidability of tabularity and local tabularity problems for superintuitionistic logics and for extensions of S4. Further investigations by Maksimova were aimed at the study of fundamental properties of logical systems (different versions of interpolation and definability, disjunction property, etc.) in big classes of logics, and on decidability and recognizability of such properties. To this end she determined a powerful combination of algebraic and semantic methods, which essentially determine the modern state of investigations in the area, as can be seen in the later chapters of this book authored by leading experts in non-classical logics. These original contributions bring the reader up to date on the very latest work in this field.

Beyond the Color Line and the Iron Curtain

Author : Kate A. Baldwin
Publisher : Duke University Press
ISBN 13 : 0822383837
Total Pages : 360 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis Beyond the Color Line and the Iron Curtain by : Kate A. Baldwin

Download or read book Beyond the Color Line and the Iron Curtain written by Kate A. Baldwin and published by Duke University Press. This book was released on 2002-10-17 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining the significant influence of the Soviet Union on the work of four major African American authors—and on twentieth-century American debates about race—Beyond the Color Line and the Iron Curtain remaps black modernism, revealing the importance of the Soviet experience in the formation of a black transnationalism. Langston Hughes, W. E. B. Du Bois, Claude McKay, and Paul Robeson each lived or traveled extensively in the Soviet Union between the 1920s and the 1960s, and each reflected on Communism and Soviet life in works that have been largely unavailable, overlooked, or understudied. Kate A. Baldwin takes up these writings, as well as considerable material from Soviet sources—including articles in Pravda and Ogonek, political cartoons, Russian translations of unpublished manuscripts now lost, and mistranslations of major texts—to consider how these writers influenced and were influenced by both Soviet and American culture. Her work demonstrates how the construction of a new Soviet citizen attracted African Americans to the Soviet Union, where they could explore a national identity putatively free of class, gender, and racial biases. While Hughes and McKay later renounced their affiliations with the Soviet Union, Baldwin shows how, in different ways, both Hughes and McKay, as well as Du Bois and Robeson, used their encounters with the U. S. S. R. and Soviet models to rethink the exclusionary practices of citizenship and national belonging in the United States, and to move toward an internationalism that was a dynamic mix of antiracism, anticolonialism, social democracy, and international socialism. Recovering what Baldwin terms the "Soviet archive of Black America," this book forces a rereading of some of the most important African American writers and of the transnational circuits of black modernism.