Advanced Engineering Mathematics, 10/e (Update)(Abridged Version) (Taiwan Custom Version)(Paperback)
暫譯: 高等工程數學，第10版（更新版）（精簡版）（台灣客製版）（平裝本）

Erwin Kreyszig

Advanced Engineering Mathematics, 10/e (Update)(Abridged Version) (Taiwan Custom Version)(Paperback)

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商品描述

本書序言

●Revised Problem Sets: This edition includes an extensive revision of the problem sets, making them even more effective, useful, and up-to-date.
●Chapter Introductions: These have also been rewritten to be more accessible and helpful to students.
●Rewrites: Some material has been rewritten specifically to better help students draw conclusions and tackle more advanced material.
●Chapter Revisions: Many of the chapters in this edition have been rewritten entirely.  Some have had material added, including but not limited to:
●Introduction of Euler’s Method in section 1.2
●Partial Derivatives on a Surface in section 9.6
●Introduction to the Heat Equation in section 12.5

本書特色

●Simplicity of Examples: To make the book teachable, why choose complicated examples when well-written simple ones are as instructive or even better?
●Independence of Chapters: To provide flexibility in tailoring courses to special needs.
●Self-Contained Presentation: Except for a few clearly marked places where a proof would exceed the level of the book and a reference is given instead.
●Modern Standard Notation: To help students with other courses, modern books, and mathematical and engineering journals.

商品描述(中文翻譯)

本書序言

●修訂的習題集：本版對習題集進行了廣泛的修訂，使其更加有效、有用且與時俱進。

●章節介紹：這些內容也已重新編寫，以便於學生理解和幫助他們。

●重寫內容：部分材料已被特別重寫，以更好地幫助學生得出結論並應對更高級的材料。

●章節修訂：本版中的許多章節已完全重寫。部分章節新增了材料，包括但不限於：

●在第1.2節介紹歐拉法（Euler’s Method）

●在第9.6節討論曲面的偏導數（Partial Derivatives on a Surface）

●在第12.5節介紹熱方程（Heat Equation）

本書特色

●範例的簡單性：為了使本書易於教學，為何要選擇複雜的範例，而優秀的簡單範例同樣具有教學價值，甚至更佳？

●章節的獨立性：提供靈活性以便根據特殊需求調整課程。

●自足的呈現：除了幾個明確標示的地方，這些地方的證明超出了本書的範疇，並提供了參考資料。

●現代標準符號：幫助學生理解其他課程、現代書籍以及數學和工程期刊。

目錄大綱

PART A Ordinary Differential Equations (ODEs)
CHAPTER 1 First-Order ODEs
CHAPTER 2 Second-Order Linear ODEs
CHAPTER 3 Higher Order Linear ODEs
CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods
CHAPTER 5 Series Solutions of ODEs. Special Functions
CHAPTER 6 Laplace Transforms
PART B Linear Algebra. Vector Calculus
CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 
CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems
CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl
CHAPTER 10 Vector Integral Calculus. Integral Theorems
PART C Fourier Analysis. Partial Differential Equations (PDEs)
CHAPTER 11 Fourier Analysis
CHAPTER 12 Partial Differential Equations (PDEs)
PART D Complex Analysis
CHAPTER 13 Complex Numbers and Functions. Complex Differentiaion
CHAPTER 14 Complex Integration
CHAPTER 15 Power Series, Taylor Series
CHAPTER 16 Laurent Series. Residue Integration
CHAPTER 17 Conformal Mapping
CHAPTER 18 Complex Analysis and Potential Theory

目錄大綱(中文翻譯)

PART A Ordinary Differential Equations (ODEs)

CHAPTER 1 First-Order ODEs

CHAPTER 2 Second-Order Linear ODEs

CHAPTER 3 Higher Order Linear ODEs

CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods

CHAPTER 5 Series Solutions of ODEs. Special Functions

CHAPTER 6 Laplace Transforms

PART B Linear Algebra. Vector Calculus

CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 

CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems

CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl

CHAPTER 10 Vector Integral Calculus. Integral Theorems

PART C Fourier Analysis. Partial Differential Equations (PDEs)

CHAPTER 11 Fourier Analysis

CHAPTER 12 Partial Differential Equations (PDEs)

PART D Complex Analysis

CHAPTER 13 Complex Numbers and Functions. Complex Differentiaion

CHAPTER 14 Complex Integration

CHAPTER 15 Power Series, Taylor Series

CHAPTER 16 Laurent Series. Residue Integration

CHAPTER 17 Conformal Mapping

CHAPTER 18 Complex Analysis and Potential Theory

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