[PDF] Instructor's Manual for Advanced Engineering Mathematics 9th Edition

ISBN: 0471726478

Category: Tutorial


Posted on 2017-11-02, by luongquocchinh.

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Author: Erwin Kreyszig | Category: Mathematics | Language: English | ISBN: 0471726478 |

Description: Erwin Kreyszig, “Advanced Engineering Mathematics (Ebook Instructor’s Manual) 9th Edition” Publisher: John Wiley Sons | ISBN: 0471728977, 0471726478 | 9th Edition: 2005 | English | Djvu File type: PDF | 1232 407 pages | 137 mb This excellent text provides both reference material and in depth tuition, covering a wide range of areas of mathematics. Each chapter guides the reader through the subject matter, with worked examples and exercises (answers to odd numbered questions are in the back.) Many examples and problems demonstrate the practical applications for the mathematics studied, in the areas of engineering, electronics and physics. This comprehensive text is ideally suited for those seeking an all round post-A-level / undergraduate /postgraduate text. An absolute must for all serious scientists! This is an absolutely great book. At over 1000 pages it’s a real opus – covering everything from ordinary differential equations, linear algebra, vector calculus, fourier analysis, complex analysis and probability. It’s exceptionally well written – with plenty of clear examples, diagrams and exercises – constantly cross referencing back to the particular idea or formula that an example is employing. It presupposes only elementary calculus – and so makes an excellent university textbook to accompany study, or as a self-study book to further your maths knowledge. Contents: PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE’S). Chapter 1. First-Order ODE’s. Chapter 2. Second Order Linear ODE’s. Chapter 3. Higher Order Linear ODE’s. Chapter 4. Systems of ODE’s Phase Plane, Qualitative Methods. Chapter 5. Series Solutions of ODE’s 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. Chapter 11. Fourier Series, Integrals, and Transforms. Chapter 12. Partial Differential Equations (PDE’s). PART D: COMPLEX ANALYSIS. Chapter 13. Complex Numbers and Functions. 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. SOFTWARE. Chapter 19. Numerics in General. Chapter 20. Numerical Linear Algebra. Chapter 21. Numerics for ODE’s and PDE’s. PART F: OPTIMIZATION, GRAPHS. Chapter 22. Unconstrained Optimization: Linear Programming. Chapter 23. Graphs, Combinatorial Optimization. PART G: PROBABILITY STATISTICS. Chapter 24. Data Analysis: Probability Theory. Chapter 25. Mathematical Statistics. Appendix 1: References. Appendix 2: Answers to Odd-Numbered Problems. Appendix 3: Auxiliary Material. Appendix 4: Additional Proofs. Appendix 5: Tables. Index.

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