Multivariable Calculus with Applications (Undergraduate Texts in Mathematics) (多變數微積分與應用（數學本科教材）)

Peter D. Lax, Maria Shea Terrell

Multivariable Calculus with Applications (Undergraduate Texts in Mathematics)
  • 出版商: Springer
  • 出版日期: 2018-03-27
  • 售價: $2,980
  • 貴賓價: 9.5 折 $2,831
  • 語言: 英文
  • 頁數: 483
  • 裝訂: Hardcover
  • ISBN: 3319740725
  • ISBN-13: 9783319740720
  • 相關分類: 微積分 Calculus

    • 立即出貨 (庫存=1)

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商品描述

This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems.

Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics. 

 

 

商品描述(中文翻譯)

這本多變數微積分的書籍透過有意義的解釋來促進讀者的理解。作者針對數學、物理科學和工程學的學生撰寫，延伸了單變數微積分的概念，如導數、積分和重要定理，到偏導數、多重積分、斯托克斯定理和散度定理。具備單變數微積分背景的學生將被引導使用各種解題技巧和練習問題。

書中運用物理科學的例子來突顯微積分與現代科學之間的重要關係。通過推導和討論幾個守恆定律，展示了科學和數學之間的共生關係，並利用向量微積分來描述一些物理理論，其中包括偏微分方程。讀者將學到數學是使科學思想能夠精確表述的語言，而科學則是發展數學的來源。

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