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The Theory of Eisenstein Systems
The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.
A self-contained introduction to automorphic forms, and Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory.
A classic on the aesthetics of filmmaking from the pioneering Soviet director who made Battleship Potemkin. Though he completed only a half-dozen films, Sergei Eisenstein remains one of the great names in filmmaking, and is also renowned for his theory and analysis of the medium. Film Form collects twelve essays, written between 1928 and 1945, that demonstrate key points in the development of Eisenstein’s film theory and in particular his analysis of the sound-film medium. Edited, translated, and with an introduction by Jay Leyda, this volume allows modern-day film students and fans to gain insights from the man who produced classics such as Alexander Nevsky and Ivan the Terrible and created the renowned “Odessa Steps” sequence.
Sacred Economics traces the history of money from ancient gift economies to modern capitalism, revealing how the money system has contributed to alienation, competition, and scarcity, destroyed community, and necessitated endless growth. Today, these trends have reached their extreme—but in the wake of their collapse, we may find great opportunity to transition to a more connected, ecological, and sustainable way of being. This book is about how the money system will have to change—and is already changing—to embody this transition. A broadly integrated synthesis of theory, policy, and practice, Sacred Economics explores avant-garde concepts of the New Economics, including negative-interest currencies, local currencies, resource-based economics, gift economies, and the restoration of the commons. Author Charles Eisenstein also considers the personal dimensions of this transition, speaking to those concerned with "right livelihood" and how to live according to their ideals in a world seemingly ruled by money. Tapping into a rich lineage of conventional and unconventional economic thought, Sacred Economics presents a vision that is original yet commonsense, radical yet gentle, and increasingly relevant as the crises of our civilization deepen. Sacred Economics official website: http://sacred-economics.com/
The field of cultural-historical psychology originated in the work of Lev Vygotsky and the Vygotsky Circle in the Soviet Union more than eighty years ago, and has now established a powerful research tradition in Russia and the West. The Cambridge Handbook of Cultural-Historical Psychology is the first volume to systematically present cultural-historical psychology as an integrative/holistic developmental science of mind, brain, and culture. Its main focus is the inseparable unity of the historically evolving human mind, brain, and culture, and the ways to understand it. The contributors are major international experts in the field, and include authors of major works on Lev Vygotsky, direct collaborators and associates of Alexander Luria, and renowned neurologist Oliver Sacks. The Handbook will be of interest to students and scholars in the fields of psychology, education, humanities and neuroscience.
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of 'smooth-automorphic forms' is intrinsic to the group scheme G/F.This setup also covers the advantage that a perfect representation-theoretical symmetry between the archimedean and non-archimedean places of the number field F is regained, by making the bigger space of smooth-automorphic forms into a proper, continuous representation of the full group of adelic points of G.Graduate students and researchers will find the covered topics appear for the first time in a book, where the theory of smooth-automorphic representations is robustly developed and presented in great detail.
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Bounded Analytic Functions