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Theimplicitfunctiontheoremis.alongwithitsclosecousintheinversefunc-tiontheorem，oneofthemostimportant，andoneoftheoldest，paradigmsinmodcrnmathemarics.OnecanseethegermoftheideafortheimplicirfunctiontheoreminthewritingsofIsaacNewton（1642-1727），andGottfriedLeib-nizs（1646-1716）workcxplicittycontainsaninstanceofimplicitdifferentiation. WhilcJosephLouisLagrange（1736-1813）foundatheorcmthatisessentiallyaversionoftheinversefunctiontheorem，icwasAugustin-LouisCauchy（1789-1857）whoapproachedtheimplicitfunctiontheoremwithmathematicalrigoranditishewhoisgencrallyacknowledgcdasthediscovcrerofthetheorem.InChap-ter2，wewillgivedetailsofthecontributionsofNewton，Lagrange，andCauchytothedevelopmentoftheimplicitfunctiontheorem.
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Theimplicitfunctiontheoremis.alongwithitsclosecousintheinversefunc-tiontheorem，oneofthemostimportant，andoneoftheoldest，paradigmsinmodcrnmathemarics.OnecanseethegermoftheideafortheimplicirfunctiontheoreminthewritingsofIsaacNewton（1642-1727），andGottfriedLeib-nizs（1646-1716）workcxplicittycontainsaninstanceofimplicitdifferentiation. WhilcJosephLouisLagrange（1736-1813）foundatheorcmthatisessentiallyaversionoftheinversefunctiontheorem，icwasAugustin-LouisCauchy（1789-1857）whoapproachedtheimplicitfunctiontheoremwithmathematicalrigoranditishewhoisgencrallyacknowledgcdasthediscovcrerofthetheorem.InChap-ter2，wewillgivedetailsofthecontributionsofNewton，Lagrange，andCauchytothedevelopmentoftheimplicitfunctiontheorem.
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Product Details 基本信息 ISBN-13 书号 9780821807347 Author 作者 Steven G. Krantz Format 版本 平装-胶订 Pages Number 页数 202页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 1993-07-14 Language 语种 英语 Book Contents 内容简介 This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz’s approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in
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Product Details 基本信息 ISBN-13 书号 9780883853467 Author 作者 Steven G. Krantz Format 版本 精装 Pages Number 页数 120页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2009-12-31 Shipping Weight 商品重量 280g Language 语种 英语 Book Contents 内容简介 A Guide to Topology is an introduction to basic topology for graduate or advanced undergraduate students. It covers point-set topology, Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Students studying for exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place t
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Product Details 基本信息 ISBN-13 书号 9780883853382 Author 作者 Steven G. Krantz Format 版本 精装 Pages Number 页数 200页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2008-12-31 Shipping Weight 商品重量 400g Language 语种 英语 Book Contents 内容简介 This quick and easy-to-use guide provides a solid grounding in the fundamental area of complex variables. Copious figures and examples are used to illustrate the principal ideas, and the exposition is lively and inviting. In addition to important ideas from the Cauchy theory, the author also includes the Riemann mapping theorem, harmonic functions, the argument principle, general conformal mapping, and dozens of other central topics. An undergraduate taking a first look at the subject, or a graduate student preparing for their qualifying exams, will find this book to be both a valuable resource and a useful companion
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