Differential Analysis

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Differential Analysis On Complex Manifolds
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Author : Raymond O. Wells
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-31
Differential Analysis On Complex Manifolds written by Raymond O. Wells and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-31 with Mathematics categories.
A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.
Differential Analysis On Complex Manifolds
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Author : R. O. Wells
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Differential Analysis On Complex Manifolds written by R. O. Wells and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews
Pseudodifferential Analysis Automorphic Distributions In The Plane And Modular Forms
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Author : André Unterberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-06
Pseudodifferential Analysis Automorphic Distributions In The Plane And Modular Forms written by André Unterberger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-06 with Mathematics categories.
Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane Π to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in the latter one, the problem of decomposing automorphic functions in Π according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of g-transforms, for g E SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On Π, a large class of new automorphic functions or measures is built in the same way: one of its features lies in an interpretation, as a spectral density, of the restriction of the zeta function to any line within the critical strip. The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.
Managerial Accounting
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Author :
language : en
Publisher: Freeload Press, Inc.
Release Date :
Managerial Accounting written by and has been published by Freeload Press, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
String Analysis For Software Verification And Security
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Author : Tevfik Bultan
language : en
Publisher: Springer
Release Date : 2018-01-04
String Analysis For Software Verification And Security written by Tevfik Bultan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-04 with Computers categories.
This book discusses automated string-analysis techniques, focusing particularly on automata-based static string analysis. It covers the following topics: automata-bases string analysis, computing pre and post-conditions of basic string operations using automata, symbolic representation of automata, forward and backward string analysis using symbolic automata representation, constraint-based string analysis, string constraint solvers, relational string analysis, vulnerability detection using string analysis, string abstractions, differential string analysis, and automated sanitization synthesis using string analysis. String manipulation is a crucial part of modern software systems; for example, it is used extensively in input validation and sanitization and in dynamic code and query generation. The goal of string-analysis techniques and this book is to determine the set of values that string expressions can take during program execution. String analysis can be used to solve many problems in modern software systems that relate to string manipulation, such as: (1) Identifying security vulnerabilities by checking if a security sensitive function can receive an input string that contains an exploit; (2) Identifying possible behaviors of a program by identifying possible values for dynamically generated code; (3) Identifying html generation errors by computing the html code generated by web applications; (4) Identifying the set of queries that are sent to back-end database by analyzing the code that generates the SQL queries; (5) Patching input validation and sanitization functions by automatically synthesizing repairs illustrated in this book. Like many other program-analysis problems, it is not possible to solve the string analysis problem precisely (i.e., it is not possible to precisely determine the set of string values that can reach a program point). However, one can compute over- or under-approximations of possible string values. If the approximations are precise enough, they can enable developers to demonstrate existence or absence of bugs in string manipulating code. String analysis has been an active research area in the last decade, resulting in a wide variety of string-analysis techniques. This book will primarily target researchers and professionals working in computer security, software verification, formal methods, software engineering and program analysis. Advanced level students or instructors teaching or studying courses in computer security, software verification or program analysis will find this book useful as a secondary text.
Beyond Nonstructural Quantitative Analysis Blown Ups Spinning Currents And Modern Science
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Author : Yi Lin
language : en
Publisher: World Scientific
Release Date : 2002-01-29
Beyond Nonstructural Quantitative Analysis Blown Ups Spinning Currents And Modern Science written by Yi Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-29 with Science categories.
This book summarizes the main scientific achievements of the blown-up theory of evolution science, which was first seen in published form in 1994. It explores — using the viewpoint and methodology of the blown-up theory — possible generalizations of Newtonian particle mechanics and computational schemes, developed on Newton's and Leibniz's calculus, as well as the scientific systems and the corresponding epistemological propositions, introduced and polished in the past three hundred years.The authors briefly explain the fundamental concepts, then analyze a series of topics and problems of the current, active research widely carried out in the natural sciences. Along the lines of the analyses, they introduce new points of view and the corresponding methods. Also, they point out that the blown-up theory originated from the idea of mutual slavings of materials' structures so that “numbers are transformed into forms”. This discovery reveals that nonlinearity is not a problem solvable in the first-push system, and that the materials' property of rotation is not only an epistemology but also a methodology. The authors then point to the fact that nonlinearity is a second stir of mutual slavings of materials.
Numerical Methods In Environmental Data Analysis
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Author : Moses Eterigho Emetere
language : en
Publisher: Elsevier
Release Date : 2022-07-17
Numerical Methods In Environmental Data Analysis written by Moses Eterigho Emetere and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-17 with Science categories.
Numerical Methods in Environmental Data Analysis introduces environmental scientists to the numerical methods available to help answer research questions through data analysis. One challenge in data analysis is misrepresentation of datasets that are relevant directly or indirectly to the research. This book illustrates new ways of screening dataset or images for maximum utilization, introducing environmental modeling, numerical methods, and computations techniques in data analysis. Throughout the book, the author includes case studies that provide guidance on how to translate research questions into appropriate models. Individuals working with data sets or images generated from environmental monitoring centers or satellites will find this book to be a concise guide for analyzing and interpreting their data. - Bridges the theoretical underpinnings of modeling to research - Illustrates the computational resolution of environmental issues alongside the use of open-source software - Provides information on the use of analogue versus digital data treatment processes
S Functional Data Analysis
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Author : Douglas B. Clarkson
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-02
S Functional Data Analysis written by Douglas B. Clarkson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-02 with Computers categories.
This book can be considered a companion to two other highly acclaimed books involving James Ramsay and Bernard Silverman: Functional Data Analysis, Second Edition (2005) and Applied Functional Data Analysis (2002). This user's manual also provides the documentation for the S+FDA library for SPlus.
Thermal Analysis
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Author : El-Zeiny Ebeid
language : en
Publisher: Elsevier
Release Date : 2021-06-23
Thermal Analysis written by El-Zeiny Ebeid and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Science categories.
Thermal Analysis: From Introductory Fundamentals to Advanced Applications presents an easy-to-understand introduction to Thermal Analysis (TA) principles alongside in-depth coverage of the wide variety of techniques currently in use across several industries. It covers differential scanning calorimetry (DSC), temperature modulated DSC (TMDSC), differential thermal analysis (DTA), thermogravimetry (TG) or thermogravimetric analysis (TGA), thermomechanical analysis (TMA), differential photo-calorimetry (DPC), dynamic mechanical analysis (DMA), thermodilatometry (TD), dielectric thermal analysis (DEA), thermally-stimulated current (TSC), emanation thermal analysis (ETA), thermoluminescence (TL), fast scanning calorimetry (FSC), and microcalorimetry. Chapters define the various TA techniques, report the Temperature-Modulated DSC (TMDSC) method and its applications, especially its use for studying the thermodynamic properties of polymers and pharmaceuticals, focus on the potential of TA in materials science with applications in chemistry and engineering, demonstrate, in detail, the various applications of TA in food, electronic industries, solid-state reactions, chemistry of polymers and large directing agents, kinetic studies, demonstrate the crystal structure and phase changes occurring upon heating by TA, and the potential of TA in recycling and waste management. - Gives a solid introduction to the scientific principles of TA for those who are new to these techniques or need a deeper understanding - Illustrates concepts with more than 100 schematic and analysis curves, several flow charts, process diagrams and photographs - Contains chapters that cover the user of TA in materials science and crystal structures
Approaches To Singular Analysis
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Author : Juan B. Gil
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03
Approaches To Singular Analysis written by Juan B. Gil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03 with Mathematics categories.
This collection presents various approaches to analytic problems that arise in the context of singular spaces. It contains articles offering introductions to various pseudodifferential calculi and discussions of relations between them, plus invited papers from mathematicians who have made significant contributions to this field