標(biāo)題: Titlebook: Analysis I; Third Edition Terence Tao Textbook 20161st edition The Editor(s) (if applicable) and The Author(s), under exclusive license to [打印本頁(yè)] 作者: 調(diào)停 時(shí)間: 2025-3-21 18:31
書(shū)目名稱Analysis I影響因子(影響力)
書(shū)目名稱Analysis I影響因子(影響力)學(xué)科排名
書(shū)目名稱Analysis I網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱Analysis I網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱Analysis I被引頻次
書(shū)目名稱Analysis I被引頻次學(xué)科排名
書(shū)目名稱Analysis I年度引用
書(shū)目名稱Analysis I年度引用學(xué)科排名
書(shū)目名稱Analysis I讀者反饋
書(shū)目名稱Analysis I讀者反饋學(xué)科排名
作者: 墊子 時(shí)間: 2025-3-22 00:05
Conclusion and Recommendations for Actionversely, one can use one’s experience in analytic rigour to extend one’s geometric intuition to such abstract settings; as mentioned earlier, the two viewpoints complement rather than oppose each other.)作者: 墊子 時(shí)間: 2025-3-22 01:20
Differentiation of functions,versely, one can use one’s experience in analytic rigour to extend one’s geometric intuition to such abstract settings; as mentioned earlier, the two viewpoints complement rather than oppose each other.)作者: 木訥 時(shí)間: 2025-3-22 06:29 作者: intrude 時(shí)間: 2025-3-22 12:32
Starting at the beginning: The natural numbers,ore fundamental issue, which is: . do the rules of algebra work at all? For instance, why is it true that .(.+.) is equal to . + . for any three numbers .? This is not an arbitrary choice of rule; it can be proven from more primitive, and more fundamental, properties of the number system.作者: pantomime 時(shí)間: 2025-3-22 16:08 作者: 繁重 時(shí)間: 2025-3-22 18:09 作者: languid 時(shí)間: 2025-3-22 23:48
https://doi.org/10.1007/978-94-011-5318-8als (where we eventually replaced formal quotients with actual quotients), we never really finished the job of constructing the real numbers, because we never got around to replacing formal limits LIM. .. with actual limits lim. ... In fact, we haven’t defined limits at all yet. This will now be rectified.作者: hegemony 時(shí)間: 2025-3-23 03:26 作者: Collected 時(shí)間: 2025-3-23 07:38
Limits of sequences,als (where we eventually replaced formal quotients with actual quotients), we never really finished the job of constructing the real numbers, because we never got around to replacing formal limits LIM. .. with actual limits lim. ... In fact, we haven’t defined limits at all yet. This will now be rectified.作者: 羞辱 時(shí)間: 2025-3-23 11:25
Textbook 20161st editiontem. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory..作者: 細(xì)胞 時(shí)間: 2025-3-23 14:06 作者: exophthalmos 時(shí)間: 2025-3-23 20:48
Starting at the beginning: The natural numbers,e will have to begin at the very basics - indeed, we will go back to the concept of . and what their properties are. Of course, you have dealt with numbers for over ten years and you know how to manipulate the rules of algebra to simplify any expression involving numbers, but we will now turn to a m作者: 高爾夫 時(shí)間: 2025-3-23 22:20 作者: 省略 時(shí)間: 2025-3-24 05:40
The real numbers,rationals ... We defined the natural numbers using the five Peano axioms, and postulated that such a number system existed; this is plausible, since the natural numbers correspond to the very intuitive and fundamental notion of .. Using that number system one could then recursively define addition a作者: 使迷醉 時(shí)間: 2025-3-24 08:01 作者: Spinal-Fusion 時(shí)間: 2025-3-24 14:03
Continuous functions on R,number .. to each natural number .. We then did various things with these functions from . to ., such as take their limit at infinity (if the function was convergent), or form suprema, infima, etc., or computed the sum of all the elements in the sequence (again, assuming the series was convergent).作者: fulcrum 時(shí)間: 2025-3-24 16:33
Differentiation of functions,using limits, in contrast to the geometric definition of derivatives, which uses tangents. The advantage of working analytically is that (a) we do not need to know the axioms of geometry, and (b) these definitions can be modified to handle functions of several variables, or functions whose values ar作者: Axillary 時(shí)間: 2025-3-24 22:02 作者: –LOUS 時(shí)間: 2025-3-25 00:30 作者: 不怕任性 時(shí)間: 2025-3-25 05:48
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor作者: Ceramic 時(shí)間: 2025-3-25 09:46 作者: Infusion 時(shí)間: 2025-3-25 13:30 作者: exophthalmos 時(shí)間: 2025-3-25 19:31 作者: ACME 時(shí)間: 2025-3-25 20:17 作者: 擦掉 時(shí)間: 2025-3-26 00:56
Reyer Zwiggelaar,Sue Astley,Chris Tayloron and multiplication. We would now like to introduce a new operation, that of subtraction, but to do that properly we will have to pass from the natural number system to a larger number system, that of the ..作者: 新奇 時(shí)間: 2025-3-26 07:35 作者: anniversary 時(shí)間: 2025-3-26 09:14 作者: charisma 時(shí)間: 2025-3-26 14:46
Breast Density and Influencing FactorsThis text is an honours-level undergraduate introduction to .: the analysis of the real numbers, sequences and series of real numbers,and real-valued functions.作者: Malleable 時(shí)間: 2025-3-26 19:05 作者: 香料 時(shí)間: 2025-3-26 21:39 作者: 輕率看法 時(shí)間: 2025-3-27 04:16 作者: debase 時(shí)間: 2025-3-27 09:18 作者: Gratulate 時(shí)間: 2025-3-27 11:10
Set theory,Modern analysis, like most of modern mathematics, is concerned with numbers, sets, and geometry. We have already introduced one type of number system, the natural numbers.作者: AWRY 時(shí)間: 2025-3-27 14:43
Series,Now that we have developed a reasonable theory of limits of sequences, we will use that theory to develop a theory of infinite series.作者: 放氣 時(shí)間: 2025-3-27 19:47
Infinite sets,We now return to the study of set theory, and specifically to the study of cardinality of sets which are infinite (i.e., sets which do not have cardinality . for any natural number .), a topic which was initiated in Section?3.6.作者: 最初 時(shí)間: 2025-3-28 01:16
Terence TaoDiscusses all major topics of analysis in a simple, lucid manner.Highlights the concrete setting of the real line and Euclidean spaces.Provides examples, and step-by-step instructions.Evolves from the作者: 圓錐體 時(shí)間: 2025-3-28 03:30 作者: Germinate 時(shí)間: 2025-3-28 07:54 作者: Indurate 時(shí)間: 2025-3-28 10:57
Reyer Zwiggelaar,Sue Astley,Chris Tayloron and multiplication. We would now like to introduce a new operation, that of subtraction, but to do that properly we will have to pass from the natural number system to a larger number system, that of the ..作者: Asseverate 時(shí)間: 2025-3-28 16:52 作者: 吹牛需要藝術(shù) 時(shí)間: 2025-3-28 22:01
https://doi.org/10.1007/978-94-011-5318-8al numbers. However, unlike our work in constructing the integers (where we eventually replaced formal differences with actual differences) and rationals (where we eventually replaced formal quotients with actual quotients), we never really finished the job of constructing the real numbers, because 作者: Banister 時(shí)間: 2025-3-29 01:20
https://doi.org/10.1007/978-3-662-68353-8number .. to each natural number .. We then did various things with these functions from . to ., such as take their limit at infinity (if the function was convergent), or form suprema, infima, etc., or computed the sum of all the elements in the sequence (again, assuming the series was convergent).作者: Calculus 時(shí)間: 2025-3-29 05:39
Conclusion and Recommendations for Actionusing limits, in contrast to the geometric definition of derivatives, which uses tangents. The advantage of working analytically is that (a) we do not need to know the axioms of geometry, and (b) these definitions can be modified to handle functions of several variables, or functions whose values ar作者: 失眠癥 時(shí)間: 2025-3-29 10:12
https://doi.org/10.1007/978-3-662-68353-8 current chapter. More precisely, we will turn to the ., the integral of a function on a fixed interval, as opposed to the ., otherwise known as the antiderivative. These two are of course linked by the ., of which more will be said later.作者: 某人 時(shí)間: 2025-3-29 14:28
