數學經典教材（影印版）：多元微積分（第3版） [Calculus of Several Variables(Thied Edition)] 下載 mobi epub pdf 電子書 2024

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《數學經典教材（影印版）：多元微積分（第3版）》是全麵，知識體係新穎的多變量微積分教程。旨在解決廣大多變量微積分學者遇到的新老問題，包內包括：（第一部分）基礎資料：嚮量；嚮量微分；多變量函數；鏈式法則和梯度；（第二部分）大值，小值和泰勒公式：大值和小值；高階導數；（第三部分）麯綫積分和雙積分：勢函數；麯綫積分；雙積分；格林定理；（第四部分）三重積分和麯麵積分：三重積分；麯麵積分；（第五部分）映射、反映射和變量變換公式：矩陣；綫性映射；行列式；多變量函數的應用；變量變換公式；附錄：傅裏葉級數。
《數學經典教材（影印版）：多元微積分（第3版）》讀者對象：數學專業的本科生、研究生和相關專業的數學工作者。

內頁插圖

目錄

PART ONE Basic Material
CHAPTER Ⅰ Vectors
1.definition of points in space
2.located vectors
3.scalar product
4.the norm of a vector
5.parametric lines
6.planes
7.the cross product
CHAPTER Ⅱ Differentiation Of Vectors
1.derivative
2.length of curves
CHAPTER Ⅲ Functions Of Several Variables
1.graphs and level curves
2.partial derivatives
3.differentiability and gradient
4.repeated partial derivatives
CHAPTER Ⅳ The Chain Rule and the Gradient
1.the chain rule
2.tangent plane
3.directional derivative
4.functions depending only on the distance from the origin
5.the law of conservation of energy
6.further technique in partial differentiation

PART TWO maxima, minima, and taylor's formula
chapter Ⅴ Maximum and Minimum
1.critical points
2.boundary points
3.lagrange multipliers
CHAPTER Ⅵ higher derivatives
1.the first two terms in tayior's formula
2.the quadratic term at critical points
3.algebraic study of a quadratic form
4.partial differential operators
5.the general expression for tayior's formula
appendix.taylor's formula in one variable
NOTE.Chapter Ix on Double Integrals is self contained, and could be covered here.

PART THREE Curve Integrals and Double Integrals
CHAPTER Ⅶ Potential Functions
1.existence and uniqueness of potential functions
2.local existence of potential functions
3.an important special vector field
4.differentiating under the integral
5.proof of the local existence theorem
CHAPTER Ⅷ curve integrals
1.definition and evaluation of curve integrals
2.the reverse path
3.curve integrals when the vector field has a potential function
4.dependence of the integral on the path
……
PART FOUR triple and surface integrals
PART FIVE mappings, inverse mappings, and change of variables formula
APPENDIX Fourier Series
answers
index

前言/序言

數學經典教材（影印版）：多元微積分（第3版） [Calculus of Several Variables(Thied Edition)] 下載 mobi epub pdf txt 電子書 格式

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專業書籍，在京東買物美價廉

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幫彆人買的，除瞭貴都還好

評分☆☆☆☆☆

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評分☆☆☆☆☆

好書，速度快，值得一讀

評分☆☆☆☆☆

對數學各個專業的學生來說，這是多元微積分入門級的教材，不需要看。對學高等數學的學生來說，內容有些多，不如去看托馬斯微積分一類的教材。

評分☆☆☆☆☆

幫彆人買的，除瞭貴都還好

評分☆☆☆☆☆

joli

評分☆☆☆☆☆

對數學各個專業的學生來說，這是多元微積分入門級的教材，不需要看。對學高等數學的學生來說，內容有些多，不如去看托馬斯微積分一類的教材。

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