The Class of 1937, M.I.T.


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Democratizing Innovation


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The process of user-centered innovation: how it can benefit both users and manufacturers and how its emergence will bring changes in business models and in public policy. Innovation is rapidly becoming democratized. Users, aided by improvements in computer and communications technology, increasingly can develop their own new products and services. These innovating users—both individuals and firms—often freely share their innovations with others, creating user-innovation communities and a rich intellectual commons. In Democratizing Innovation, Eric von Hippel looks closely at this emerging system of user-centered innovation. He explains why and when users find it profitable to develop new products and services for themselves, and why it often pays users to reveal their innovations freely for the use of all.The trend toward democratized innovation can be seen in software and information products—most notably in the free and open-source software movement—but also in physical products. Von Hippel's many examples of user innovation in action range from surgical equipment to surfboards to software security features. He shows that product and service development is concentrated among "lead users," who are ahead on marketplace trends and whose innovations are often commercially attractive. Von Hippel argues that manufacturers should redesign their innovation processes and that they should systematically seek out innovations developed by users. He points to businesses—the custom semiconductor industry is one example—that have learned to assist user-innovators by providing them with toolkits for developing new products. User innovation has a positive impact on social welfare, and von Hippel proposes that government policies, including R&D subsidies and tax credits, should be realigned to eliminate biases against it. The goal of a democratized user-centered innovation system, says von Hippel, is well worth striving for. An electronic version of this book is available under a Creative Commons license.




Yesterday's Tomorrow


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How the communist revolution failed, presented in a series of catastrophes. The communist project in the twentieth century grew out of utopian desires to oppose oppression and abolish class structures, to give individual lives collective meaning. The attempts to realize these ideals became a series of colossal failures. In Yesterday's Tomorrow, Bini Adamczak examines these catastrophes, proceeding in reverse chronological order from 1939 to 1917: the Hitler-Stalin Pact, the Great Terror of 1937, the failure of the European Left to prevent National Socialism, Stalin's rise to power, and the bloody rebellion at Kronstadt. In the process, she seeks a future that never happened.




Exit Zero


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Winner of CLR James Book Prize from the Working Class Studies Association and 2nd Place for the Victor Turner Prize in Ethnographic Writing. In 1980, Christine J. Walley’s world was turned upside down when the steel mill in Southeast Chicago where her father worked abruptly closed. In the ensuing years, ninety thousand other area residents would also lose their jobs in the mills—just one example of the vast scale of deindustrialization occurring across the United States. The disruption of this event propelled Walley into a career as a cultural anthropologist, and now, in Exit Zero, she brings her anthropological perspective home, examining the fate of her family and that of blue-collar America at large. Interweaving personal narratives and family photos with a nuanced assessment of the social impacts of deindustrialization, Exit Zero is one part memoir and one part ethnography— providing a much-needed female and familial perspective on cultures of labor and their decline. Through vivid accounts of her family’s struggles and her own upward mobility, Walley reveals the social landscapes of America’s industrial fallout, navigating complex tensions among class, labor, economy, and environment. Unsatisfied with the notion that her family’s turmoil was inevitable in the ever-forward progress of the United States, she provides a fresh and important counternarrative that gives a new voice to the many Americans whose distress resulting from deindustrialization has too often been ignored. This book is part of a project that also includes a documentary film.




Structure of Algebras


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The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.







Almanac of Architecture & Design 2006


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Tensor Categories


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Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.




The Record of the Class of 1937


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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.