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Titlebook: Introduction to Mathematical Analysis; Igor Kriz,Ale? Pultr Textbook 2013 Springer Basel 2013 geometry.integration.manifolds.mathematical

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樓主: fumble
21#
發(fā)表于 2025-3-25 07:06:35 | 只看該作者
Preliminariesave included definitions and basic properties of the standard elementary functions (polynomials, rational functions, exponentials and logarithms, trigonometric and cyclometric functions), the concept of continuity of a real function and the fact that continuity is preserved under standard constructi
22#
發(fā)表于 2025-3-25 10:10:51 | 只看該作者
23#
發(fā)表于 2025-3-25 13:31:40 | 只看該作者
Integration I: Multivariable Riemann Integral and Basic Ideas Toward the Lebesgue IntegralSection 8 of Chapter 1). To start with, we will consider the integral only for functions defined on .-dimensional intervals ( = “bricks”) and we will be concerned, basically, with continuous functions. Later, the domains and functions to be integrated on will become much more general.
24#
發(fā)表于 2025-3-25 17:26:05 | 只看該作者
25#
發(fā)表于 2025-3-25 20:06:57 | 只看該作者
26#
發(fā)表于 2025-3-26 03:48:39 | 只看該作者
27#
發(fā)表于 2025-3-26 06:41:56 | 只看該作者
28#
發(fā)表于 2025-3-26 08:42:00 | 只看該作者
Complex Analysis II: Further Topicsthematics. First of all, quite a bit more can be said about conformal maps. Under very general conditions, one open subset of . can be mapped holomorphically bijectively onto another. We prove one such result, the famous Riemann Mapping Theorem. In many situations, such maps can even be written down
29#
發(fā)表于 2025-3-26 14:17:14 | 只看該作者
30#
發(fā)表于 2025-3-26 18:23:53 | 只看該作者
Tensor Calculus and Riemannian Geometrylated material on geodesics, beg for a generalization to manifolds. Although this is not quite as straightforward as one might imagine, the work we have done in the last chapter gets us well underway. A serious problem we must address, of course, is how the concepts we introduced behave under change
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