An Introduction To G Functions

An Introduction To G Functions Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of An Introduction To G Functions book. This book definitely worth reading, it is an incredibly well-written.

An Introduction to G-functions

Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan
An Introduction to G functions Book PDF

Author : Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan
Publisher : Princeton University Press
Page : 348 pages
File Size : 46,7 Mb
Release : 1994-05-22
Category : Mathematics
ISBN : 9780691036816

Get Book

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.

An Introduction to G-Functions. (AM-133), Volume 133

Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan
An Introduction to G Functions AM 133 Volume 133 Book PDF

Author : Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan
Publisher : Princeton University Press
Page : 349 pages
File Size : 51,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882540

Get Book

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.

An Introduction to Estimating Functions

Parimal Mukhopadhyay
An Introduction to Estimating Functions Book PDF

Author : Parimal Mukhopadhyay
Publisher : Alpha Science Int'l Ltd.
Page : 252 pages
File Size : 54,5 Mb
Release : 2004
Category : Business & Economics
ISBN : 1842651633

Get Book

An Introduction to Estimating Functions by Parimal Mukhopadhyay Pdf

The theory of estimating functions plays a major role in analysis of data pertaining to Biostatistics, Econometrics, Time Series Analysis, Reliability studies and other varied fields. This book discusses at length the application of the theory in interpretation of results in Survey Sampling.

An Introduction to the Theory of Local Zeta Functions

Jun-ichi Igusa
An Introduction to the Theory of Local Zeta Functions Book PDF

Author : Jun-ichi Igusa
Publisher : American Mathematical Soc.
Page : 246 pages
File Size : 42,6 Mb
Release : 2000
Category : Mathematics
ISBN : 9780821829073

Get Book

An Introduction to the Theory of Local Zeta Functions by Jun-ichi Igusa Pdf

This book is an introductory presentation to the theory of local zeta functions. Viewed as distributions, and mostly in the archimedean case, local zeta functions are also called complex powers. The volume contains major results on analytic and algebraic properties of complex powers by Atiyah, Bernstein, I. M. Gelfand, S. I. Gelfand, and Sato. Chapters devoted to $p$-adic local zeta functions present Serre's structure theorem, a rationality theorem, and many examples found by the author. The presentation concludes with theorems by Denef and Meuser. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.

An Introduction to Analysis

Gerald G. Bilodeau,Paul R Thie,G. E. Keough
An Introduction to Analysis Book PDF

Author : Gerald G. Bilodeau,Paul R Thie,G. E. Keough
Publisher : Jones & Bartlett Publishers
Page : 459 pages
File Size : 47,5 Mb
Release : 2009-07-28
Category : Mathematics
ISBN : 9781449660451

Get Book

An Introduction to Analysis by Gerald G. Bilodeau,Paul R Thie,G. E. Keough Pdf

Part of the Jones and Bartlett International Series in Advanced Mathematics Completely revised and update, the second edition of An Introduction to Analysis presents a concise and sharply focused introdution to the basic concepts of analysis from the development of the real numbers through uniform convergences of a sequence of functions, and includes supplementary material on the calculus of functions of several variables and differential equations. This student-friendly text maintains a cautious and deliberate pace, and examples and figures are used extensively to assist the reader in understanding the concepts and then applying them. Students will become actively engaged in learning process with a broad and comprehensive collection of problems found at the end of each section.

An Introduction to Special Functions

Carlo Viola
An Introduction to Special Functions Book PDF

Author : Carlo Viola
Publisher : Springer
Page : 168 pages
File Size : 42,7 Mb
Release : 2016-10-31
Category : Mathematics
ISBN : 9783319413457

Get Book

An Introduction to Special Functions by Carlo Viola Pdf

The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in "higher calculus" and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.

An Introduction to the Approximation of Functions

Theodore J. Rivlin
An Introduction to the Approximation of Functions Book PDF

Author : Theodore J. Rivlin
Publisher : Courier Corporation
Page : 164 pages
File Size : 47,9 Mb
Release : 1981-01-01
Category : Mathematics
ISBN : 0486640698

Get Book

An Introduction to the Approximation of Functions by Theodore J. Rivlin Pdf

Mathematics of Computing -- Numerical Analysis.

An Introduction to Inverse Limits with Set-valued Functions

W.T. Ingram
An Introduction to Inverse Limits with Set valued Functions Book PDF

Author : W.T. Ingram
Publisher : Springer Science & Business Media
Page : 93 pages
File Size : 49,5 Mb
Release : 2012-08-11
Category : Mathematics
ISBN : 9781461444879

Get Book

An Introduction to Inverse Limits with Set-valued Functions by W.T. Ingram Pdf

Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valued functions are featured prominently in this book in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchers working in this area will find this brief useful. ​

G-Functions and Geometry

Yves André
G Functions and Geometry Book PDF

Author : Yves André
Publisher : Vieweg+teubner Verlag
Page : 248 pages
File Size : 49,7 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39015015719837

Get Book

G-Functions and Geometry by Yves André Pdf

This is an introduction to some geometrie aspects of G-function theory. Most of the results presented here appear in print for the flrst time; hence this text is something intermediate between a standard monograph and a research artic1e; it is not a complete survey of the topic. Except for geometrie chapters (I.3.3, II, IX, X), I have tried to keep it reasonably self­ contained; for instance, the second part may be used as an introduction to p-adic analysis, starting from a few basic facts wh ich are recalled in IV.l.l. I have inc1uded about forty exercises, most of them giving some complements to the main text. Acknowledgements This book was written during a stay at the Max-Planck-Institut in Bonn. I should like here to express my special gratitude to this institute and its director, F. Hirzebruch, for their generous hospitality. G. Wüstholz has suggested the whole project and made its realization possible, and this book would not exist without his help; I thank him heartily. I also thank D. Bertrand, E. Bombieri, K. Diederich, and S. Lang for their encouragements, and D. Bertrand, G. Christo I and H Esnault for stimulating conversations and their help in removing some inaccuracies after a careful reading of parts of the text (any remaining error is however my sole responsibility).

An Introduction to Fourier Analysis and Generalised Functions

Sir M. J. Lighthill
An Introduction to Fourier Analysis and Generalised Functions Book PDF

Author : Sir M. J. Lighthill
Publisher : Cambridge University Press
Page : 112 pages
File Size : 53,8 Mb
Release : 1958
Category : Mathematics
ISBN : 0521091284

Get Book

An Introduction to Fourier Analysis and Generalised Functions by Sir M. J. Lighthill Pdf

"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress

Mathematical Analysis

Mariano Giaquinta,Giuseppe Modica
Mathematical Analysis Book PDF

Author : Mariano Giaquinta,Giuseppe Modica
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 52,7 Mb
Release : 2012-08-31
Category : Mathematics
ISBN : 9780817644147

Get Book

Mathematical Analysis by Mariano Giaquinta,Giuseppe Modica Pdf

* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

An Introduction to Quasisymmetric Schur Functions

Kurt Luoto,Stefan Mykytiuk,Stephanie van Willigenburg
An Introduction to Quasisymmetric Schur Functions Book PDF

Author : Kurt Luoto,Stefan Mykytiuk,Stephanie van Willigenburg
Publisher : Springer Science & Business Media
Page : 101 pages
File Size : 55,6 Mb
Release : 2013-06-19
Category : Computers
ISBN : 9781461473008

Get Book

An Introduction to Quasisymmetric Schur Functions by Kurt Luoto,Stefan Mykytiuk,Stephanie van Willigenburg Pdf

An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions.

Periodic Differential Equations

F. M. Arscott
Periodic Differential Equations Book PDF

Author : F. M. Arscott
Publisher : Elsevier
Page : 295 pages
File Size : 51,6 Mb
Release : 2014-05-16
Category : Mathematics
ISBN : 9781483164885

Get Book

Periodic Differential Equations by F. M. Arscott Pdf

Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.

Introduction to Holomorphic Functions of Several Variables, Volume I

R.C. Gunning
Introduction to Holomorphic Functions of Several Variables Volume I Book PDF

Author : R.C. Gunning
Publisher : Routledge
Page : 136 pages
File Size : 52,6 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781351436939

Get Book

Introduction to Holomorphic Functions of Several Variables, Volume I by R.C. Gunning Pdf

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.

An Introduction to the Theory of Stationary Random Functions

A. M. Yaglom
An Introduction to the Theory of Stationary Random Functions Book PDF

Author : A. M. Yaglom
Publisher : Courier Corporation
Page : 258 pages
File Size : 46,5 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 048649571X

Get Book

An Introduction to the Theory of Stationary Random Functions by A. M. Yaglom Pdf

This two-part treatment covers the general theory of stationary random functions and the Wiener-Kolmogorov theory of extrapolation and interpolation of random sequences and processes. Beginning with the simplest concepts, it covers the correlation function, the ergodic theorem, homogenous random fields, and general rational spectral densities, among other topics. Numerous examples appear throughout the text, with emphasis on the physical meaning of mathematical concepts. Although rigorous in its treatment, this is essentially an introduction, and the sole prerequisites are a rudimentary knowledge of probability and complex variable theory. 1962 edition.