爆发 发表于 2025-3-21 19:18:06

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斗志 发表于 2025-3-21 20:20:33

Richard M. Heiberger,Erich NeuwirthAs suggested by the title, this chapter is concerned with the “creation” of new linear spaces. Why is it necessary to devote an entire chapter to such an enterprise in order to learn Differential Calculus? In this preamble I hope to convince you that, indeed, this is essential.

Kernel 发表于 2025-3-22 04:23:46

Forecasting and Time Series Models,Now that I have built up a suitably flexible algebraic framework for dealing with the linear spaces and transformations on them which arise in the study of differentiable functions between subsets of linear spaces of dimension greater than one, it is time to do some more spadework and develop the basic tools of analysis in linear spaces.

STALL 发表于 2025-3-22 05:28:38

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agitate 发表于 2025-3-22 12:36:51

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Definitive 发表于 2025-3-22 13:29:32

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Definitive 发表于 2025-3-22 17:29:45

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fringe 发表于 2025-3-23 01:14:28

Normed Linear Spaces, Metric Spaces,Now that I have built up a suitably flexible algebraic framework for dealing with the linear spaces and transformations on them which arise in the study of differentiable functions between subsets of linear spaces of dimension greater than one, it is time to do some more spadework and develop the basic tools of analysis in linear spaces.

Meager 发表于 2025-3-23 05:27:26

Calculus,I have now done all the spadework necessary for building up a form of the Differential Calculus which will be applicable to functions between open subsets of Banach spaces.

打算 发表于 2025-3-23 05:49:43

Existence Theorems,This chapter is devoted to establishing three basic existence theorems which lie at the foundations of the “three great differential theories” of Modern Mathematics: Differential Topology, Differential Geometry and Differential Equations.
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查看完整版本: Titlebook: Differential Calculas in Normed Linear Spaces; Kalyan Mukherjea Book 2007Latest edition Hindustan Book Agency (India) 2007