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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: Kostas Kampourakis Publisher: Cambridge University Press ISBN: 1107034914 Category : Science Languages : en Pages : 275
Book Description
Bringing together conceptual obstacles and core concepts of evolutionary theory, this book presents evolution as straightforward and intuitive.
Author: Laurenţiu G. Maxim Publisher: Springer Nature ISBN: 3030276449 Category : Mathematics Languages : en Pages : 278
Book Description
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.
Author: Eugene V. Koonin Publisher: Springer Science & Business Media ISBN: 1475737831 Category : Science Languages : en Pages : 482
Book Description
Sequence - Evolution - Function is an introduction to the computational approaches that play a critical role in the emerging new branch of biology known as functional genomics. The book provides the reader with an understanding of the principles and approaches of functional genomics and of the potential and limitations of computational and experimental approaches to genome analysis. Sequence - Evolution - Function should help bridge the "digital divide" between biologists and computer scientists, allowing biologists to better grasp the peculiarities of the emerging field of Genome Biology and to learn how to benefit from the enormous amount of sequence data available in the public databases. The book is non-technical with respect to the computer methods for genome analysis and discusses these methods from the user's viewpoint, without addressing mathematical and algorithmic details. Prior practical familiarity with the basic methods for sequence analysis is a major advantage, but a reader without such experience will be able to use the book as an introduction to these methods. This book is perfect for introductory level courses in computational methods for comparative and functional genomics.
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: Lewis I. Held, Jr
Author: Lewis I. Held, Jr
Author: Peter S. Ozsváth
Author: Kostas Kampourakis
Author: Laurenţiu G. Maxim
Author: Eugene V. Koonin
Author: Stephen Jay Gould
Author: Michael J. O'Brien
Author: Aldo Fasolo
Author: Anna Maria Di Sciullo
Author: Rudolf P. Botha