Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).
1. Chapter 10 Introduction to complex analysis - p. 287 2. Chapter 11 Nondimensionalization - p. 311 3. Chapter 12 Nonlinear differential equations - p. 329 4. Chapter 13 Integral equations - p. 349 5. 13.1: Integral equations - p. 349 6. 13.2: Green's function - p. 362 7. Problems - p. 370 8. Chapter 14 Calculus of variations - p. 373 9. Appendix A Maple software package - p. 389 10. Appendix B Geodesic formulation - p. 395 11. Bibliography - p. 399 12. Index - p. 401
Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).
1. Chapter 10 Introduction to complex analysis - p. 287 2. Chapter 11 Nondimensionalization - p. 311 3. Chapter 12 Nonlinear differential equations - p. 329 4. Chapter 13 Integral equations - p. 349 5. 13.1: Integral equations - p. 349 6. 13.2: Green's function - p. 362 7. Problems - p. 370 8. Chapter 14 Calculus of variations - p. 373 9. Appendix A Maple software package - p. 389 10. Appendix B Geodesic formulation - p. 395 11. Bibliography - p. 399 12. Index - p. 401
