数值分析导论（及答案）(An Introduction to Numerical Analysis & Solutions)First publishe

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资源信息： 中文名: 数值分析导论（及答案） 原名: An Introduction to Numerical Analysis & Solutions 作者: Endre Suli David F. Mayers 图书分类: 科技 资源格式: PDF 版本: First published 2003 出版社: 剑桥大学出版社 书号: 0521810264 发行时间: 2003年 地区: 英国 语言: 英文 概述:

内容介绍： 数值分析导论，牛津大学教材。最近好多难兄难弟在学数值分析，不忍看他们夜夜苦读，特此，翻出了尘封多年的这本书，以供参考。写的比其他版本简单很多，通俗易懂，没学过外语都能看懂的好东西。 作者介绍： Endre S¨uli and David F. Mayers 应该是一对好基友，具体干什么的我也不知道，有兴趣的可以百度下。 算了，我百度了，大家看看吧。 David F. Mayer's Overview Current Adjunct Professor at Monroe Community College Partner at Harris Chesworth O'Brien Past Associate at HARRIS BEACH & WILCOX Attorney at Winthrop Stimson Attorney at Levinson & Passe Education Syracuse University College of Law University of Wisconsin-Superior Recommendations 4 people have recommended David F. Connections 227 connections Websites Company Website David F. Mayer's Summary Partner in General Practice Law Firm -- Our firm offers comprehensive legal services in a wide variety of legal concerns in business, banking and finance, estate planning and administration, employment law, environmental matters, aspects of family law, litigation of all types, municipal affairs, real estate, taxation and finance planning. We are large enough to provide expertise in particular areas of law and small enough to provide personal attention from partners and associates to all clients. Our goal is to bring efficient, competent, professional service to you and assist you in successfully resolving your legal issues as quickly and inexpensively as possible. Monroe Community College Faculty Adjunct Professor -- Department of Law and Criminal Justice, and Paralegal Studies Program Specialties Law and Criminal Justice: Fundamentals of New York Law; Prisoner's Rights Paralegal Studies: Wills and Estates; Real Estate Practice Focus: Municipal Law; Real Estate -- Commerical and Residential; Environmental; Land Use; Estates, Wills, Elder Law; David F. Mayer's Experience Adjunct Professor Monroe Community College Educational Institution; 501-1000 employees; Higher Education industry 1996 – Present (16 years) REAL PROPERTY LAW Designed and taught paralegal certificate program course in Real Property Law. Train paraprofessional certificate candidates to handle real property transactions upon graduation, with sufficient understanding of legal theory to expand to more complex transactions. Document preparation, objective and subjective components, to master vocabulary and basic concepts, for real life scenarios. BUSINESS ORGANIZATIONS/CORPORATE LAW Designed and taught paralegal certificate program course in business organizations. A greater emphasis on use of State web sites and interaction with State agencies. TRUSTS AND ESTATES LAW Redesigned and taught paralegal certificate program course in Trusts and Estates. Train paraprofessional certificate candidates to handle estate planning and administration. Provide sufficient understanding of legal theory to enable graduates to grow in their field with experience. LEGAL ASPECTS OF CORRECTIONS Redesigned and taught course in laws affecting persons under supervision of criminal justice authorities. Emphasis on Civil Rights Act §1983, and Habeas Corpus. Explores state and Constitutional torts, and procedure of prisoner litigation in state and Federal courts. My redesign of the course involves in-depth examination of United States Supreme Court and Court of Appeals decisions, exploration of intersection of case law with practical day-to-day operation of correctional facilities, and tours of correctional facilities. Course is required for Corrections Majors. INTRODUCTION TO THE LAW Taught "Law 101", an undergraduate survey course designed to introduce undergraduate students to a broad spectrum of legal matters, from the Bill of Rights to matrimonial and tort law. Provide real life information for typical citizen's intersections with the law -- from landlord tenant and credit issues to marriage/divorce and estates to contract requirements. Overview of the court structure and traffic/criminal law. Partner Harris Chesworth O'Brien Partnership; 11-50 employees; Law Practice industry June 1993 – Present (19 years 7 months) I focus primarily on municipal law and legal concerns regarding property, including commerical and residential real estate, transfers in estates, wills and trusts, and environmental issues. My practice includes matrimonial and criminal matters. Jury trial experience. Village attorney for Village of Brockport, New York. Counsels Village Board of Trustees Zoning Board of Appeals, Planning Board and ex officio member of Ethics Board. Prosecutes Village Code violations from initial charge through appeal, advises Village officers and departments with regard to law enforcement and miscellaneous municipal law matters. Counsel to Zoning Board of Appeals and Planning Board of Village of Webster, New York. Advise both boards on interpretation of Village Code and State and Federal laws affecting applications before the boards; drafting amendments to Village Code, and prosecuting zoning violations. Associate HARRIS BEACH & WILCOX 1989 – 1991 (2 years) Rochester, New York Area Represented local governments and private parties in connection with secured loans, business development, business organization, tax and general business matters. Attorney Winthrop Stimson 1988 – 1989 (1 year) Represented lenders and corporations in New York City, New York State, regional, interstate and international transactions; coordinated with intra-firm practice area groups to form transaction teams for corporate stock-driven and asset-based transactions, workouts of non-performing loans, purchase, sale and leasing of real property. Attorney Levinson & Passe 1987 – 1988 (1 year) Boutique Midtown Manhattan law firm specializing in commercial real property transactions. Worked closely with real property developers and investors, maintaining heavy client contact and daily interactions with mortgage lenders, property managers and business tenants in connection with a broad range of legal services affecting real property. Endre Süli (also, Endre Suli) is Professor of Numerical Analysis in the Mathematical Institute, University of Oxford, Fellow and Tutor in Mathematics at Worcester College, Oxford, and Supernumerary Fellow of Linacre College, Oxford. He was educated at the University of Belgrade and, as a British Council Visiting Student, at the University of Reading and St Catherine's College, Oxford. His research is concerned with the mathematical analysis of numerical algorithms for nonlinear partial differential equations. Süli is Foreign Member of the Serbian Academy of Sciences and Arts (2009) and Fellow of the European Academy of Sciences (2010). He was invited speaker at the International Congress of Mathematicians in Madrid in 2006[1] and was Chair of the Society for the Foundations of Computational Mathematics (2002–2005).[2] Since 2005 Süli has been co-Editor-in-Chief of the IMA Journal of Numerical Analysis.[3] He is a member of the Scientific Steering Committee of the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge and of the Scientific Advisory Board of the Archimedes Center for Modeling, Analysis and Computation at the University of Crete. 目测都是牛津大学的高人。 顶礼膜拜！ 内容截图：

目录: Preface page 1 Solution of equations by iteration 1 1.1 Introduction 1 1.2 Simple iteration 2 1.3 Iterative solution of equations 17 1.4 Relaxation and Newton’s method 19 1.5 The secant method 25 1.6 The bisection method 28 1.7 Global behaviour 29 1.8 Notes 32 Exercises 35 2 Solution of systems of linear equations 39 2.1 Introduction 39 2.2 Gaussian elimination 44 2.3 LU factorisation 48 2.4 Pivoting 52 2.5 Solution of systems of equations 55 2.6 Computational work 56 2.7 Norms and condition numbers 58 2.8 Hilbert matrix 72 2.9 Least squares method 74 2.10 Notes 79 Exercises 82 3 Special matrices 87 3.1 Introduction 87 3.2 Symmetric positive definite matrices 87 3.3 Tridiagonal and band matrices 93 7.6 The Euler–Maclaurin expansion 211 7.7 Extrapolation methods 215 7.8 Notes 219 Exercises 220 8 Polynomial approximation in the
-norm 224 8.1 Introduction 224 8.2 Normed linear spaces 224 8.3 Best approximation in the
-norm 228 8.4 Chebyshev polynomials 241 8.5 Interpolation 244 8.6 Notes 247 Exercises 248 9 Approximation in the 2-norm 252 9.1 Introduction 252 9.2 Inner product spaces 253 9.3 Best approximation in the 2-norm 256 9.4 Orthogonal polynomials 259 9.5 Comparisons 270 9.6 Notes 272 Exercises 273 10 Numerical integration – II 277 10.1 Introduction 277 10.2 Construction of Gauss quadrature rules 277 10.3 Direct construction 280 10.4 Error estimation for Gauss quadrature 282 10.5 Composite Gauss formulae 285 10.6 Radau and Lobatto quadrature 287 10.7 Note 288 Exercises 288 11 Piecewise polynomial approximation 292 11.1 Introduction 292 11.2 Linear interpolating splines 293 11.3 Basis functions for the linear spline 297 11.4 Cubic splines 298 11.5 Hermite cubic splines 300 11.6 Basis functions for cubic splines 302 11.7 Notes 306 Exercises 307 vi Contents 12 Initial value problems for ODEs 310 12.1 Introduction 310 12.2 One-step methods 317 12.3 Consistency and convergence 321 12.4 An implicit one-step method 324 12.5 Runge–Kutta methods 325 12.6 Linear multistep methods 329 12.7 Zero-stability 331 12.8 Consistency 337 12.9 Dahlquist’s theorems 340 12.10 Systems of equations 341 12.11 Stiff systems 343 12.12 Implicit Runge–Kutta methods 349 12.13 Notes 353 Exercises 355 13 Boundary value problems for ODEs 361 13.1 Introduction 361 13.2 A model problem 361 13.3 Error analysis 364 13.4 Boundary conditions involving a derivative 367 13.5 The general self-adjoint problem 370 13.6 The Sturm–Liouville eigenvalue problem 373 13.7 The shooting method 375 13.8 Notes 380 Exercises 381 14 The finite element method 385 14.1 Introduction: the model problem 385 14.2 Rayleigh–Ritz and Galerkin principles 388 14.3 Formulation of the finite element method 391 14.4 Error analysis of the finite element method 397 14.5 A posteriori error analysis by duality 403 14.6 Notes 412 Exercises 414 Appendix A An overview of results from real analysis 419 Appendix B WWW-resources 423 Bibliography 424 Index 429