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Titlebook: Derivatives and Integrals of Multivariable Functions; Alberto Guzman Textbook 2003 Birkh?user Boston 2003 Derivative.Implicit function.Mea

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發(fā)表于 2025-3-21 17:51:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Derivatives and Integrals of Multivariable Functions
編輯Alberto Guzman
視頻videohttp://file.papertrans.cn/269/268137/268137.mp4
概述Includes supplementary material:
圖書封面Titlebook: Derivatives and Integrals of Multivariable Functions;  Alberto Guzman Textbook 2003 Birkh?user Boston 2003 Derivative.Implicit function.Mea
描述This text is appropriate for a one-semester course in what is usually called ad- vanced calculus of several variables. The approach taken here extends elementary results about derivatives and integrals of single-variable functions to functions in several-variable Euclidean space. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about func- tions of multiple variables. In the first three chapters, differentiability and derivatives are defined; prop- erties of derivatives reducible to the scalar, real-valued case are discussed; and two results from the vector case, important to the theoretical development of curves and surfaces, are presented. The next three chapters proceed analogously through the development of integration theory. Integrals and integrability are de- fined; properties of integrals of scalar functions are discussed; and results about scalar integrals of vector functions are presented. The development of these lat- ter theorems, the vector-field theorems, brings together a number of results from other chapters and emphasizes the physical applications of the theory.
出版日期Textbook 2003
關(guān)鍵詞Derivative; Implicit function; Measure Theory; Multivariable Calculus; calculus; differential geometry; ks
版次1
doihttps://doi.org/10.1007/978-1-4612-0035-2
isbn_softcover978-0-8176-4274-7
isbn_ebook978-1-4612-0035-2
copyrightBirkh?user Boston 2003
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:17:07 | 只看該作者
Integrability of Multivariable Functions, material as we did with derivatives. In the earlier chapters, we separated the definitions of differentiability and derivatives from discussion of their properties. We will do similarly with integrals, covering integrability in this chapter and properties of integrals in the next.
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地板
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Vector Integrals and the Vector-Field Theorems,lculate an integral. This study will show us many connections among the topics that we have viewed separately. We end up with small versions of two results that helped complete the analytic description of classical physics.
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Textbook 2003 elementary results about derivatives and integrals of single-variable functions to functions in several-variable Euclidean space. The elementary material in the single- and several-variable case leads naturally to significant advanced theorems about func- tions of multiple variables. In the first t
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發(fā)表于 2025-3-23 05:02:44 | 只看該作者
Facing the Challenges of Water GovernanceIn this chapter we use ideas based on the elementary definition of derivative to define derivatives of a vector function of a Euclidean vector variable. We relate these new derivatives to the elementary ones, and generalize an important result from the real-variable case.
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發(fā)表于 2025-3-23 09:06:09 | 只看該作者
Developments in Sexology and Sex TherapyIn this chapter we study derivative-related results that are not reducible to the scalar case.
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