微積分學的意思、翻譯和例句

是什麼意思

「微積分學」是數學的一個分支,主要研究函數的極限、導數、積分及其應用。它的主要內容包括微分學和積分學,微分學關注函數的變化率,而積分學則關注累積量的計算。微積分學在物理學、工程學、經濟學等多個領域中有著廣泛的應用,特別是在分析變化和計算面積、體積等問題上。

依照不同程度的英文解釋

  1. A branch of math that studies change.
  2. A type of math that deals with rates and totals.
  3. Math that helps us understand how things change.
  4. A field of mathematics focused on derivatives and integrals.
  5. Mathematics that deals with functions, limits, and areas.
  6. A mathematical discipline that explores the concepts of differentiation and integration.
  7. An area of mathematics that analyzes functions and their properties through limits and areas.
  8. A mathematical study involving the analysis of change and accumulation.
  9. A comprehensive field of mathematics that investigates the concepts of rates of change and accumulation of quantities.
  10. A mathematical discipline that encompasses the study of continuous change through derivatives and integrals.

相關英文單字或片語的差別與用法

1:Calculus

用法:

這是微積分學的英文名稱,廣泛用於數學和科學領域。它的應用範圍包括物理學、經濟學和工程學等,幫助分析變化和計算累積量。

例句及翻譯:

例句 1:

微積分是數學中一個重要的分支。

Calculus is an important branch of mathematics.

例句 2:

我正在學習微積分的基本概念。

I am learning the basic concepts of calculus.

例句 3:

微積分在科學和工程中非常有用。

Calculus is very useful in science and engineering.

2:Differential and Integral Calculus

用法:

這是一個更正式的名稱,強調微積分的兩個主要部分:微分學和積分學。微分學主要研究函數的導數,而積分學則關注函數的積分。

例句及翻譯:

例句 1:

我們的課程涵蓋微分和積分微積分的所有主題。

Our course covers all topics in differential and integral calculus.

例句 2:

學習微分和積分微積分對理解物理運動至關重要。

Learning differential and integral calculus is essential for understanding physical motion.

例句 3:

這本書深入探討了微分和積分微積分的應用。

This book explores the applications of differential and integral calculus in depth.