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Book Summary of Advanced Engineering Mathematics
This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that todays engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.
Features
Table Of Contents
ORDINARY DIFFERENTIAL EQUATIONS.
Features
- Opens coverage with seven chapters on Ordinary Differential Equations offering flexibility for use in either ODE dedicated courses or combined ODE/Linear Algebra courses.
- Incorporates the Maple Computer Algebra System in the form of optional special-interest sections and exercises.
- Serves as an excellent reference tool for both students and practitioners with coverage reaching well beyond Ordinary Differential Equations.
- Features a wealth of diverse exercise and problem sets to both challenge and reinforce students' understanding.
- Provides unique Closure features at the end of each section and chapter reviews at the end of each chapter to review and summarize main points.
Table Of Contents
ORDINARY DIFFERENTIAL EQUATIONS.
- Introduction to Differential Equations.
- Equations of First Order.
- Linear Differential Equations of Second Order and Higher.
- Power Series Solutions.
- Laplace Transform.
- Quantitative Methods: Numerical Solution of Differential Equations.
- Qualitative Methods: Phase Plane and Nonlinear Differential Equations.
- Systems of Linear Algebraic Equations; Gauss Elimination.
- Vector Space.
- Matrices and Linear Equations.
- The Eigenvalue Problem.
- Extension to Complex Case (Optional).
- Differential Calculus of Functions of Several Variables.
- Vectors in 3-Space.
- Curves, Surfaces, and Volumes.
- Scalar and Vector Field Theory.
- Fourier Series, Fourier Integral, Fourier Transform.
- Diffusion Equation.
- Wave Equation.
- Laplace Equation.
- Functions of a Complex Variable.
- Conformal Mapping.
- The Complex Integral Calculus.
- Taylor Series, Laurent Series, and the Residue Theorem.
Details of Book: Advanced Engineering Mathematics
Book: | Advanced Engineering Mathematics |
Author: | Michael Greenberg |
ISBN: | 8177585460 |
ISBN-13: | 9788177585469,978-8177585469 |
Binding: | Paperback |
Publishing Date: | 1998 |
Publisher: | Pearson Education |
Edition: | 2ndEditon |
Number of Pages: | 1324 |
Language: | English |
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