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Author: Peter S. Ozsváth Publisher: American Mathematical Soc. ISBN: 1470417375 Category : Education Languages : en Pages : 423
Book Description
Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
Author: Stephen Jay Gould Publisher: Harvard University Press ISBN: 0674417925 Category : Science Languages : en Pages : 1460
Book Description
The world’s most revered and eloquent interpreter of evolutionary ideas offers here a work of explanatory force unprecedented in our time—a landmark publication, both for its historical sweep and for its scientific vision. With characteristic attention to detail, Stephen Jay Gould first describes the content and discusses the history and origins of the three core commitments of classical Darwinism: that natural selection works on organisms, not genes or species; that it is almost exclusively the mechanism of adaptive evolutionary change; and that these changes are incremental, not drastic. Next, he examines the three critiques that currently challenge this classic Darwinian edifice: that selection operates on multiple levels, from the gene to the group; that evolution proceeds by a variety of mechanisms, not just natural selection; and that causes operating at broader scales, including catastrophes, have figured prominently in the course of evolution. Then, in a stunning tour de force that will likely stimulate discussion and debate for decades, Gould proposes his own system for integrating these classical commitments and contemporary critiques into a new structure of evolutionary thought. In 2001 the Library of Congress named Stephen Jay Gould one of America’s eighty-three Living Legends—people who embody the “quintessentially American ideal of individual creativity, conviction, dedication, and exuberance.” Each of these qualities finds full expression in this peerless work, the likes of which the scientific world has not seen—and may not see again—for well over a century.
Author: Michael J. O'Brien Publisher: MIT Press ISBN: 0262552086 Category : Science Languages : en Pages : 305
Book Description
Scholars from a variety of disciplines consider cases of convergence in lithic technology, when functional or developmental constraints result in similar forms in independent lineages. Hominins began using stone tools at least 2.6 million years ago, perhaps even 3.4 million years ago. Given the nearly ubiquitous use of stone tools by humans and their ancestors, the study of lithic technology offers an important line of inquiry into questions of evolution and behavior. This book examines convergence in stone tool-making, cases in which functional or developmental constraints result in similar forms in independent lineages. Identifying examples of convergence, and distinguishing convergence from divergence, refutes hypotheses that suggest physical or cultural connection between far-flung prehistoric toolmakers. Employing phylogenetic analysis and stone-tool replication, the contributors show that similarity of tools can be caused by such common constraints as the fracture properties of stone or adaptive challenges rather than such unlikely phenomena as migration of toolmakers over an Arctic ice shelf. Contributors R. Alexander Bentley, Briggs Buchanan, Marcelo Cardillo, Mathieu Charbonneau, Judith Charlin, Chris Clarkson, Loren G. Davis, Metin I. Eren, Peter Hiscock, Thomas A. Jennings, Steven L. Kuhn, Daniel E. Lieberman, George R. McGhee, Alex Mackay, Michael J. O'Brien, Charlotte D. Pevny, Ceri Shipton, Ashley M. Smallwood, Heather Smith, Jayne Wilkins, Samuel C. Willis, Nicolas Zayns
Author: Aldo Fasolo Publisher: Springer Science & Business Media ISBN: 8847019745 Category : Science Languages : en Pages : 230
Book Description
Year 2009 was the triumph of Darwin as a global superstar, spinning from the pop icon to the actual understanding to what make him a great innovator, able to give a turn to whole modern culture. Does all this activity mean evolution has lost its ability to excite fear and opposition? After such a deluge of books, conferences, reviews, gadgets, what is today our vision on theory of Evolution and its Impact? These are the questions asked at an inter-academy conference held in Torino (May 27-29, 2010) among the Accademia delle Scienze di Torino, the Accademia Nazionale dei Lincei and the Berlin-Brandenburgische Akademie der Wissenschaften. The present book collects the contributions from the meeting, mixing styles, arguments, topics, history and philosophy of science, modern biology and epistemology . This kind of inter-disciplinary approach may appear erratic, but it conveys flashes of lights on the changing scene where the theory of evolution plays. This is in line with the idea to reopen the file of the Two Cultures, looking at shared problems, which are not yet really the Third Culture invoked by Charles Percy Snow half a century ago, but they can foster it, at least in such a pivotal domain as evolution. According to the philosopher Michael Ruse, the conclusion is “that in fifty years or a hundred years we will still have the theory of the Origin around. Great, precisely because it does not stand still, but remakes itself and grows and changes by virtue of the fact that it gives such a terrific foundation. Is Darwinism past its sell-by date? Not by a long chalk yet!”
Author: Anna Maria Di Sciullo Publisher: Oxford University Press ISBN: 0199553270 Category : Language Arts & Disciplines Languages : en Pages : 576
Book Description
This book, by leading scholars, represents some of the main work in progress in biolinguistics. It offers fresh perspectives on language evolution and variation, new developments in theoretical linguistics, and insights on the relations between variation in language and variation in biology. The authors address the Darwinian questions on the origin and evolution of language from a minimalist perspective, and provide elegant solutions to the evolutionary gap between human language and communication in all other organisms. They consider language variation in the context of current biological approaches to species diversity - the 'evo-devo revolution' - which bring to light deep homologies between organisms. In dispensing with the classical notion of syntactic parameters, the authors argue that language variation, like biodiversity, is the result of experience and thus not a part of the language faculty in the narrow sense. They also examine the nature of this core language faculty, the primary categories with which it is concerned, the operations it performs, the syntactic constraints it poses on semantic interpretation and the role of phases in bridging the gap between brain and syntax. Written in language accessible to a wide audience, The Biolinguistic Enterprise will appeal to scholars and students of linguistics, cognitive science, biology, and natural language processing.
Author: Peter Hagoort Publisher: MIT Press ISBN: 0262042630 Category : Psychology Languages : en Pages : 753
Book Description
A unique overview of the human language faculty at all levels of organization. Language is not only one of the most complex cognitive functions that we command, it is also the aspect of the mind that makes us uniquely human. Research suggests that the human brain exhibits a language readiness not found in the brains of other species. This volume brings together contributions from a range of fields to examine humans' language capacity from multiple perspectives, analyzing it at genetic, neurobiological, psychological, and linguistic levels. In recent decades, advances in computational modeling, neuroimaging, and genetic sequencing have made possible new approaches to the study of language, and the contributors draw on these developments. The book examines cognitive architectures, investigating the functional organization of the major language skills; learning and development trajectories, summarizing the current understanding of the steps and neurocognitive mechanisms in language processing; evolutionary and other preconditions for communication by means of natural language; computational tools for modeling language; cognitive neuroscientific methods that allow observations of the human brain in action, including fMRI, EEG/MEG, and others; the neural infrastructure of language capacity; the genome's role in building and maintaining the language-ready brain; and insights from studying such language-relevant behaviors in nonhuman animals as birdsong and primate vocalization. Section editors Christian F. Beckmann, Carel ten Cate, Simon E. Fisher, Peter Hagoort, Evan Kidd, Stephen C. Levinson, James M. McQueen, Antje S. Meyer, David Poeppel, Caroline F. Rowland, Constance Scharff, Ivan Toni, Willem Zuidema
Author: David A. Baum Publisher: Princeton University Press ISBN: 069117587X Category : Science Languages : en Pages : 886
Book Description
The essential one-volume reference to evolution The Princeton Guide to Evolution is a comprehensive, concise, and authoritative reference to the major subjects and key concepts in evolutionary biology, from genes to mass extinctions. Edited by a distinguished team of evolutionary biologists, with contributions from leading researchers, the guide contains some 100 clear, accurate, and up-to-date articles on the most important topics in seven major areas: phylogenetics and the history of life; selection and adaptation; evolutionary processes; genes, genomes, and phenotypes; speciation and macroevolution; evolution of behavior, society, and humans; and evolution and modern society. Complete with more than 100 illustrations (including eight pages in color), glossaries of key terms, suggestions for further reading on each topic, and an index, this is an essential volume for undergraduate and graduate students, scientists in related fields, and anyone else with a serious interest in evolution. Explains key topics in some 100 concise and authoritative articles written by a team of leading evolutionary biologists Contains more than 100 illustrations, including eight pages in color Each article includes an outline, glossary, bibliography, and cross-references Covers phylogenetics and the history of life; selection and adaptation; evolutionary processes; genes, genomes, and phenotypes; speciation and macroevolution; evolution of behavior, society, and humans; and evolution and modern society
Author: Lewis I. Held, Jr
Author: Lewis I. Held, Jr
Author: Peter S. Ozsváth
Author: Stephen Jay Gould
Author: Michael J. O'Brien
Author: Aldo Fasolo
Author: Anna Maria Di Sciullo
Author: Rudolf P. Botha
Author: Peter Hagoort
Author: David A. Baum
Author: George R. McGhee