Multivariable calculus with applications

• 作者： Lax, Peter D., author.
• 其他作者：
  • Terrell, Maria Shea, author.
  • SpringerLink (Online service)
• 其他題名：
  • Undergraduate texts in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Undergraduate texts in mathematics,
• 主題： Multivariate analysis. , Mathematics. , Mathematical analysis. , Engineering mathematics. , Mathematics. , Analysis. , Applications of Mathematics.
• ISBN： 9783319740737 (electronic bk.) 、 9783319740720 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 1. Vectors and matrices -- 2. Functions -- 3. Differentiation -- 4. More about differentiation -- 5. Applications to motion -- 6. Integration -- 7. Line and surface integrals -- 8. Divergence and Stokes' Theorems and conservation laws -- 9. Partial differential equations -- Answers to selected problems -- Index.
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• 摘要註: 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.
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