[過去ﾛｸﾞ] IUTを読むための用語集資料集スレ (1002ﾚｽ)
上下前次1-新
抽出解除 ﾚｽ栞

---

このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索 歴削→次ｽﾚ 栞削→次ｽﾚ 過去ﾛｸﾞﾒﾆｭｰ

---

174(1): １３２人目の素数さん [] 2020/07/18(土) 17:03:48.99 ID:34X7G75E(1) AAS
>>173
IUTの前にεδ論法を勉強しては？

---

176(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP [] 2020/07/18(土) 21:51:02.24 ID:ywyns0bH(3/5) AAS
>>174

εδ論法ね
スレ違いだが、下記を貼る
あとは、下記のスレへ（＾＾

純粋・応用数学（含むガロア理論）2
2chｽﾚ:math
712 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/07/12
>>689

WILLIAM P. THURSTON ｗｗｗ（＾＾
（参考）
https://arxiv.org/pdf/math/9404236.pdf
APPEARED IN BULLETIN OF THE
AMERICAN MATHEMATICAL SOCIETY
Volume 30, Number 2, April 1994, Pages 161-177
ON PROOF AND PROGRESS IN MATHEMATICS
WILLIAM P. THURSTON
(抜粋)
2. How do people understand mathematics?

This is a very hard question. Understanding is an individual and internal matter
that is hard to be fully aware of, hard to understand and often hard to communicate.
We can only touch on it lightly here.
People have very different ways of understanding particular pieces of mathematics. To illustrate this, it is best to take an example that practicing mathematicians
understand in multiple ways, but that we see our students struggling with. The
derivative of a function fits well. The derivative can be thought of as:
(1) Infinitesimal: the ratio of the infinitesimal change in the value of a function
to the infinitesimal change in a function.
(2) Symbolic: the derivative of x^n is nx^(n-1), the derivative of sin(x) is cos(x),
the derivative of f ・ g is f′ ・ g * g′, etc.
(3) Logical: f′(x) = d if and only if for every ε there is a δ such that when
0 < |Δx| < δ,
|{(f(x + Δx) - f(x))/Δx}- d |< δ.
(4) Geometric: the derivative is the slope of a line tangent to the graph of the
function, if the graph has a tangent.
(5) Rate: the instantaneous speed of f(t), when t is time.
(6) Approximation: The derivative of a function is the best linear approximation to the function near a point.

つづく

---

上下前次1-新書関写板覧索設栞歴

---

ｽﾚ情報 赤ﾚｽ抽出 画像ﾚｽ抽出 歴の未読ｽﾚ AAｻﾑﾈｲﾙ

---

ぬこの手 ぬこTOP 0.035s