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Author: Matthew Baker
Publisher: Springer
ISBN: 3319309455
Category : Mathematics
Languages : en
Pages : 534
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Book Description
This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and provocative lectures on cutting edge research, interspersed with lively discussions and collaborative work in small groups. The articles collected here, which include high-level surveys as well as original research, mirror the main themes of the two Symposia. Topics covered in this volume include: Differential forms and currents, and solutions of Monge-Ampere type differential equations on Berkovich spaces and their skeletons; The homotopy types of nonarchimedean analytifications; The existence of "faithful tropicalizations" which encode the topology and geometry of analytifications; Relations between nonarchimedean analytic spaces and algebraic geometry, including logarithmic schemes, birational geometry, and the geometry of algebraic curves; Extended notions of tropical varieties which relate to Huber's theory of adic spaces analogously to the way that usual tropical varieties relate to Berkovich spaces; and Relations between nonarchimedean geometry and combinatorics, including deep and fascinating connections between matroid theory, tropical geometry, and Hodge theory.
Author: Matthew Baker
Publisher: Springer
ISBN: 3319309455
Category : Mathematics
Languages : en
Pages : 534
Get Book Here
Book Description
This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and provocative lectures on cutting edge research, interspersed with lively discussions and collaborative work in small groups. The articles collected here, which include high-level surveys as well as original research, mirror the main themes of the two Symposia. Topics covered in this volume include: Differential forms and currents, and solutions of Monge-Ampere type differential equations on Berkovich spaces and their skeletons; The homotopy types of nonarchimedean analytifications; The existence of "faithful tropicalizations" which encode the topology and geometry of analytifications; Relations between nonarchimedean analytic spaces and algebraic geometry, including logarithmic schemes, birational geometry, and the geometry of algebraic curves; Extended notions of tropical varieties which relate to Huber's theory of adic spaces analogously to the way that usual tropical varieties relate to Berkovich spaces; and Relations between nonarchimedean geometry and combinatorics, including deep and fascinating connections between matroid theory, tropical geometry, and Hodge theory.
Author: Kenneth Ireland
Publisher: Springer Science & Business Media
ISBN: 147572103X
Category : Mathematics
Languages : en
Pages : 406
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Book Description
This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.
Author: Giampiero Esposito
Publisher: Springer
ISBN: 3319575449
Category : Mathematics
Languages : en
Pages : 428
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Book Description
This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathematics. It enables them to acquire the sensibility necessary for the formulation and solution of difficult problems, with an emphasis on concepts, rigour and creativity. It consists of eight self-contained parts: ordinary differential equations; linear elliptic equations; calculus of variations; linear and non-linear hyperbolic equations; parabolic equations; Fuchsian functions and non-linear equations; the functional equations of number theory; pseudo-differential operators and pseudo-differential equations. The author leads readers through the original papers and introduces new concepts, with a selection of topics and examples that are of high pedagogical value.
Author: P. Motta
Publisher: Springer Science & Business Media
ISBN: 940098216X
Category : Medical
Languages : en
Pages : 245
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Book Description
The liver has been an organ of mystery for centuries. Slowly but surely its secrets have been disclosed by both basic research and clinically oriented investigators whose current concepts have been brought together in this book by authors from five different countries. Three major groups with many subgroups have made inroads into our better understanding of the liver. The first of these comprises the basic scientists whose study of single hepatocytes may provide the key to comprehension of mechanisms that will lead eventually to improvement in the morbidity and mortality associated with a variety of hepatic disorders. The second group has been concerned with studies in depth of the liver's response to a variety of hormones, drugs, viruses, and infections. Both early and late results are their concern in the diagnosis and treatment of the individual patient. A third group comprises the surgeons who have become increasingly aggressive in the removal of one or more segments of the liver. They have increased the scope of hepatic resection as a result of a better understanding gained from studies of various segments of the liver. They have accepted the term, segmentectomy, and have extended feasible procedures to include trisegmentectomy. Indeed, trans plantation of the liver has been successfully accomplished.
Author: John W. Winkelman
Publisher: Cambridge University Press
ISBN: 1139494341
Category : Medical
Languages : en
Pages : 435
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Book Description
Sleep-related complaints are extremely common across the spectrum of psychiatric illness. Accurate diagnosis and management of sleep disturbances requires an understanding of the neurobiological mechanisms underlying sleep and wakefulness, the characteristics of sleep disturbance inherent to psychiatric illness and primary sleep disorders, as well as the psychopharmacologic and behavioral treatments available. Foundations of Psychiatric Sleep Medicine provides a uniquely accessible, practical, and expert summary of current clinical concepts at the sleep-psychiatry interface. Topics covered include: basic principles in sleep science, clinical sleep history taking, primary sleep disorders in psychiatric contexts, and sleep disturbance across a range of mood, anxiety, psychotic, substance use, cognitive and developmental disorders. Written by outstanding experts in the field of sleep medicine and psychiatry, this academically rigorous and clinically useful text is an essential resource for psychiatrists, psychologists and other health professionals interested in the relationship between sleep and mental illness.
Author: Joseph Klafter
Publisher: World Scientific
ISBN: 9814340588
Category : Mathematics
Languages : en
Pages : 530
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Book Description
This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.
Author: Carl Pomerance
Publisher: Springer
ISBN: 3319222406
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler’s totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource. Contributors to this volume: Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivić, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwiłł, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.
Author:
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1094
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Book Description
Author: Nicola Scarselli
Publisher: Elsevier
ISBN: 0444641351
Category : Technology & Engineering
Languages : en
Pages : 896
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Book Description
Regional Geology and Tectonics: Principles of Geologic Analysis, 2nd edition is the first in a three-volume series covering Phanerozoic regional geology and tectonics. The new edition provides updates to the first edition's detailed overview of geologic processes, and includes new sections on plate tectonics, petroleum systems, and new methods of geological analysis. This book provides both professionals and students with the basic principles necessary to grasp the conceptual approaches to hydrocarbon exploration in a wide variety of geological settings globally. - Discusses in detail the principles of regional geological analysis and the main geological and geophysical tools - Captures and identifies the tectonics of the world in detail, through a series of unique geographic maps, allowing quick access to exact tectonic locations - Serves as the ideal introductory overview and complementary reference to the core concepts of regional geology and tectonics offered in volumes 2 and 3 in the series
Author: Lynley Anne Herbert
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111436012
Category : Art
Languages : en
Pages : 504
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Book Description
This anthology honors Lawrence Nees’ expansive contributions to medieval art historical inquiry and teaching on the occasion of his retirement from the University of Delaware. These essays present a cross-section of recent research by students, colleagues, and friends; the breadth of subjects explored demonstrates the pertinence of Nees’ distinctive approach and methodology centering human agency and creativity. The contributions follow three main threads: Establishing Identity, Patronage and Politics, and Beyond the Canon. Some authors draw upon Nees’ systematic analysis of iconographic idiosyncrasies and ornamental schemes, whether adorning manuscripts or monumental edifices, which elucidates their unique visual and material characteristics. Others apply a Neesian engagement with the complex dynamics of cultural exchange, visual manifestations of political ambitions and ideologies, and selective mining of the classical past. Ultimately, this collection aims to illustrate the impact of Nees’ transformative scholarship, and to celebrate his legacy in the field of medieval art history.
