Advanced Engineering Mathematics, 11/e (IE-Paperback)
暫譯: 高等工程數學，第11版 (IE-平裝本)
Erwin Kreyszig
- 出版商: Wiley
- 出版日期: 2025-03-01
- 定價: $1,640
- 售價: 9.8 折 $1,607
- 語言: 英文
- 頁數: 1152
- ISBN: 1394319460
- ISBN-13: 9781394319466
-
相關分類:
工程數學 Engineering-mathematics
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相關主題
商品描述
本書序言
●Revised Problem Sets: This edition includes a revision of the problem sets, making them even more effective, useful, and up-to-date.
●Sustainability and Ethics in Engineering: Each chapter now features a dedicated section on how mathematical modeling and engineering can address environmental and societal challenges, promoting sustainability and ethical practices.
●Update Examples: Updated examples with modern applications to enhance relevance and understanding.
●Open-Source Software Integration: Included problems that utilize open-source mathematical software, such as Python with NumPy, SciPy, and SymPy libraries, or MATLAB.
●Appendix on Emerging Topics: A new appendix covers emerging areas in applied mathematics, such as data science, machine learning, and network theory, and their engineering applications.
本書特色
●Use of Simple Examples: Opt for straightforward examples instead of complex ones, as they can be just as, if not more, effective for teaching purposes.
●Independent Chapters: Allow for adaptable course design to meet specific educational needs.
●Comprehensive Content: Ensure the material is self-contained, with only a few instances where a proof is beyond the book's scope, clearly marked, and referenced.
●Contemporary Notation: Adopt modern standard notation to assist students in other courses and when reading current books, as well as mathematical and engineering journals.
商品描述(中文翻譯)
本書序言
●修訂的習題集：本版包含了習題集的修訂，使其更加有效、有用且與時俱進。
●工程中的可持續性與倫理：每一章現在都有專門的部分，探討數學建模和工程如何應對環境和社會挑戰，促進可持續性和倫理實踐。
●更新的範例：更新了範例，加入現代應用，以增強其相關性和理解度。
●開源軟體整合：包含利用開源數學軟體的問題，例如使用 Python 的 NumPy、SciPy 和 SymPy 函式庫，或 MATLAB。
●新興主題附錄：新增附錄涵蓋應用數學中的新興領域，如資料科學、機器學習和網路理論及其工程應用。
本書特色
●使用簡單範例：選擇簡單的範例而非複雜的範例，因為它們在教學上同樣有效，甚至更有效。
●獨立章節：允許靈活的課程設計，以滿足特定的教育需求。
●全面的內容：確保材料是自足的，只有少數幾個證明超出本書範疇，並清楚標示和引用。
●當代符號：採用現代標準符號，以協助學生在其他課程中以及閱讀當前書籍和數學、工程期刊時的理解。
作者簡介
Erwin Kreyszig
Professor of Mathematics
Ohio State University
Columbus, Ohio
Professor of Mathematics
Ohio State University
Columbus, Ohio
作者簡介(中文翻譯)
**Erwin Kreyszig**
數學教授
俄亥俄州立大學
哥倫布，俄亥俄州
數學教授
俄亥俄州立大學
哥倫布，俄亥俄州
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 Differentiation
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
PART E Numeric Analysis
CHAPTER 19 Numerics in General
CHAPTER 20 Numeric Linear Algebra
CHAPTER 21 Numerics for ODEs and PDEs
PART F Optimization, Graphs
CHAPTER 22 Unconstrained Optimization. Linear Programming
CHAPTER 23 Graphs. Combinatorial Optimization
PART G Probability, Statistics (available online)
CHAPTER 24 Data Analysis. Probability Theory
CHAPTER 25 Mathematical Statistics
APPENDIX 1 References
APPENDIX 2 Answers to Selected Problems (available online)
APPENDIX 3 Auxiliary Material
APPENDIX 4 Additional Proofs
APPENDIX 5 Tables
APPENDIX 6 Emerging Topics in Applied Mathematics
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 Differentiation
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
PART E Numeric Analysis
CHAPTER 19 Numerics in General
CHAPTER 20 Numeric Linear Algebra
CHAPTER 21 Numerics for ODEs and PDEs
PART F Optimization, Graphs
CHAPTER 22 Unconstrained Optimization. Linear Programming
CHAPTER 23 Graphs. Combinatorial Optimization
PART G Probability, Statistics (available online)
CHAPTER 24 Data Analysis. Probability Theory
CHAPTER 25 Mathematical Statistics
APPENDIX 1 References
APPENDIX 2 Answers to Selected Problems (available online)
APPENDIX 3 Auxiliary Material
APPENDIX 4 Additional Proofs
APPENDIX 5 Tables
APPENDIX 6 Emerging Topics in Applied Mathematics
