An Introduction To G Functions Am 133 Volume 133

Author : Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan
Publisher : Princeton University Press
Page : 349 pages
File Size : 52,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882540

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An Introduction to G-Functions. (AM-133), Volume 133 by Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan Pdf

Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebraic number field K. These series satisfy a linear differential equation Ly=0 with LIK(x) [d/dx] and have non-zero radii of convergence for each imbedding of K into the complex numbers. They have the further property that the common denominators of the first s coefficients go to infinity geometrically with the index s. After presenting a review of valuation theory and elementary p-adic analysis together with an application to the congruence zeta function, this book offers a detailed study of the p-adic properties of formal power series solutions of linear differential equations. In particular, the p-adic radii of convergence and the p-adic growth of coefficients are studied. Recent work of Christol, Bombieri, André, and Dwork is treated and augmented. The book concludes with Chudnovsky's theorem: the analytic continuation of a G -series is again a G -series. This book will be indispensable for those wishing to study the work of Bombieri and André on global relations and for the study of the arithmetic properties of solutions of ordinary differential equations.

Author : Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan
Publisher : Princeton University Press
Page : 348 pages
File Size : 45,7 Mb
Release : 1994-05-22
Category : Mathematics
ISBN : 9780691036816

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An Introduction to G-functions by Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan Pdf

After presenting a review of valuation theory and elementary p-adic analysis together with an application to the congruence zeta function, this book offers a detailed study of the p-adic properties of formal power series solutions of linear differential equations. In particular, the p-adic radii of convergence and the p-adic growth of coefficients are studied. Recent work of Christol, Bombieri, André, and Dwork is treated and augmented. The book concludes with Chudnovsky's theorem: the analytic continuation of a G -series is again a G -series. This book will be indispensable for those wishing to study the work of Bombieri and André on global relations and for the study of the arithmetic properties of solutions of ordinary differential equations.

Author : Matthew Baker,Sam Payne
Publisher : Springer
Page : 526 pages
File Size : 52,6 Mb
Release : 2016-08-18
Category : Mathematics
ISBN : 9783319309453

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Nonarchimedean and Tropical Geometry by Matthew Baker,Sam Payne Pdf

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,Michael Rosen
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 46,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475721034

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A Classical Introduction to Modern Number Theory by Kenneth Ireland,Michael Rosen Pdf

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 : Anonim
Publisher : Unknown
Page : 1288 pages
File Size : 51,6 Mb
Release : 1991
Category : Medicine
ISBN : OSU:32436010178976

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Cumulated Index Medicus by Anonim Pdf

Author : John W. Winkelman,David T. Plante
Publisher : Cambridge University Press
Page : 435 pages
File Size : 55,7 Mb
Release : 2010-12-23
Category : Medical
ISBN : 9781139494342

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Foundations of Psychiatric Sleep Medicine by John W. Winkelman,David T. Plante Pdf

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 : James A. Jacobs,Jay H. Lehr,Stephen M. Testa
Publisher : John Wiley & Sons
Page : 502 pages
File Size : 53,8 Mb
Release : 2014-04-10
Category : Technology & Engineering
ISBN : 9781118749241

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Acid Mine Drainage, Rock Drainage, and Acid Sulfate Soils by James A. Jacobs,Jay H. Lehr,Stephen M. Testa Pdf

Provides the tools needed to analyze and solve acid drainage problems Featuring contributions from leading experts in science and engineering, this book explores the complex biogeochemistry of acid mine drainage, rock drainage, and acid sulfate soils. It describes how to predict, prevent, and remediate the environmental impact of acid drainage and the oxidation of sulfides, offering the latest sampling and analytical methods. Moreover, readers will discover new approaches for recovering valuable resources from acid mine drainage, including bioleaching. Acid Mine Drainage, Rock Drainage, and Acid Sulfate Soils reviews the most current findings in the field, offering new insights into the underlying causes as well as new tools to minimize the harm of acid drainage: Part I: Causes of Acid Mine Drainage, Rock Drainage and Sulfate Soils focuses on the biogeochemistry of acid drainage in different environments. Part II: Assessment of Acid Mine Drainage, Rock Drainage and Sulfate Soils covers stream characterization, aquatic and biological sampling, evaluation of aquatic resources, and some unusual aspects of sulfide oxidation. Part III: Prediction and Prevention of Acid Drainage discusses acid-base accounting, kinetic testing, block modeling, petrology, and mineralogy studies. It also explains relevant policy and regulations. Part IV: Remediation of Acid Drainage, Rock Drainage and Sulfate Soils examines both passive and active cleanup methods to remediate acid drainage. Case studies from a variety of geologic settings highlight various approaches to analyzing and solving acid drainage problems. Replete with helpful appendices and an extensive list of web resources, Acid Mine Drainage, Rock Drainage, and Acid Sulfate Soils is recommended for mining engineers and scientists, regulatory officials, environmental scientists, land developers, and students.

Author : P. Motta,L.J. Didio
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9789400982161

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Basic and Clinical Hepatology by P. Motta,L.J. Didio Pdf

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 : Philip Willmott, PhD
Publisher : John Wiley & Sons
Page : 501 pages
File Size : 42,8 Mb
Release : 2019-04-29
Category : Science
ISBN : 9781119280392

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An Introduction to Synchrotron Radiation by Philip Willmott, PhD Pdf

The updated guide to the fundamental concepts, techniques and applications of synchrotron radiation and its applications in this rapidly developing field Synchrotron light is recognized as an invaluable research tool by a broad spectrum of scientists, ranging from physicists to biologists and archaeologists. The comprehensively revised second edition of An Introduction to Synchrotron Radiation offers a guide to the basic concepts of the generation and manipulation of synchrotron light, its interaction with matter and the application of synchrotron light in x-ray scattering, spectroscopy, and imaging. The author, a noted expert in the field, reviews the fundamentals of important experimental methods, and explores the most recent technological advances in both the latest generation of x-ray sources and x-ray instrumentation. Designed to be an accessible resource, the book contains full-colour illustrations of the underlying physics and experimental applications, as well as the most commonly-used synchrotron techniques. In particular, the updated second edition now includes: In-depth descriptions of the latest x-ray-source technologies, notably diffraction-limited storage rings and x-ray free-electron lasers The latest advances in instrumentation, x-ray optics, and experimental methods in synchrotron radiation The most recent developments in macromolecular crystallography, time-resolved studies, and imaging techniques A comprehensive set of problems for each chapter, plus their ideal solutions in the appendices. Written for undergraduate and postgraduate students from all areas of the natural and physical sciences, An Introduction to Synchrotron Radiation, Second Edition is an invaluable up-to-date reference source in this highly multidisciplinary field. PowerPoint slides of all the figures within the text are available for download, for instructors and users of this book, at http://booksupport.wiley.com

Author : Hamid M. Said
Publisher : Academic Press
Page : 2250 pages
File Size : 49,7 Mb
Release : 2012-07-04
Category : Medical
ISBN : 9780123820273

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Physiology of the Gastrointestinal Tract, Two Volume Set by Hamid M. Said Pdf

Physiology of the Gastrointestinal Tract, Fifth Edition — winner of a 2013 Highly Commended BMA Medical Book Award for Internal Medicine — covers the study of the mechanical, physical, and biochemical functions of the GI Tract while linking the clinical disease or disorder, bridging the gap between clinical and laboratory medicine. The gastrointestinal system is responsible for the breakdown and absorption of various foods and liquids needed to sustain life. Other diseases and disorders treated by clinicians in this area include: food allergies, constipation, chronic liver disease and cirrhosis, gallstones, gastritis, GERD, hemorrhoids, IBS, lactose intolerance, pancreatic, appendicitis, celiac disease, Crohn’s disease, peptic ulcer, stomach ulcer, viral hepatitis, colorectal cancer and liver transplants. The new edition is a highly referenced and useful resource for gastroenterologists, physiologists, internists, professional researchers, and instructors teaching courses for clinical and research students. 2013 Highly Commended BMA Medical Book Award for Internal Medicine Discusses the multiple processes governing gastrointestinal function Each section edited by preeminent scientist in the field Updated, four-color illustrations

Author : Joseph Klafter,S. C. Lim,Ralf Metzler
Publisher : World Scientific
Page : 530 pages
File Size : 42,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814340595

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Fractional Dynamics by Joseph Klafter,S. C. Lim,Ralf Metzler Pdf

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 : Mark Zegarelli
Publisher : John Wiley & Sons
Page : 312 pages
File Size : 53,8 Mb
Release : 2017-04-17
Category : Mathematics
ISBN : 9781119357513

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Basic Math & Pre-Algebra Workbook For Dummies with Online Practice by Mark Zegarelli Pdf

Master the fundamentals first for a smoother ride through math Basic Math & Pre-Algebra Workbook For Dummies is your ticket to finally getting a handle on math! Designed to help you strengthen your weak spots and pinpoint problem areas, this book provides hundreds of practice problems to help you get over the hump. Each section includes a brief review of key concepts and full explanations for every practice problem, so you'll always know exactly where you went wrong. The companion website gives you access to quizzes for each chapter, so you can test your understanding and identify your sticking points before moving on to the next topic. You'll brush up on the rules of basic operations, and then learn what to do when the numbers just won't behave—negative numbers, inequalities, algebraic expressions, scientific notation, and other tricky situations will become second nature as you refresh what you know and learn what you missed. Each math class you take builds on the ones that came before; if you got lost somewhere around fractions, you'll have a difficult time keeping up in Algebra, Geometry, Trigonometry, and Calculus—so don't fall behind! This book provides plenty of practice and patient guidance to help you slay the math monster once and for all. Make sense of fractions, decimals, and percentages Learn how to handle inequalities, exponents, square roots, and absolute values Simplify expressions and solve simple algebraic equations Find your way around a triangle, circle, trapezoid, and more Once you get comfortable with the rules and operations, math takes on a whole new dimension. Curiosity replaces anxiety, and problems start feeling like puzzles rather than hurdles. All it takes is practice. Basic Math & Pre-Algebra Workbook For Dummies is your ultimate math coach, with hundreds of guided practice practice problems to help you break through the math barrier.

Author : Alejandro Maass,Servet Martínez,Jaime San Martín
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401003452

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Dynamics and Randomness by Alejandro Maass,Servet Martínez,Jaime San Martín Pdf

This book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re lated to probability theory, ergodic theory, symbolic and topological dynam ics. We would like to express our gratitude to all the participants of the con ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book.

Author : Nicola Scarselli,Jürgen Adam,Domenico Chiarella
Publisher : Elsevier
Page : 894 pages
File Size : 55,5 Mb
Release : 2020-06-17
Category : Science
ISBN : 9780444641359

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Regional Geology and Tectonics: Principles of Geologic Analysis by Nicola Scarselli,Jürgen Adam,Domenico Chiarella Pdf

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 : Giampiero Esposito
Publisher : Springer
Page : 432 pages
File Size : 54,8 Mb
Release : 2017-06-23
Category : Mathematics
ISBN : 9783319575445

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From Ordinary to Partial Differential Equations by Giampiero Esposito Pdf

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.