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Download Advanced Engineering Mathematics By Michael Greenberg – The book Advanced Engineering Mathematics provides the engineer of today, an insight into the principles and drills of mathematics that they need to understand. The explanations in this book enable the reader to grasp concepts quickly by practical means, thereby enabling the readers to implement those concepts in real-life. The book is in the form of a conversation between the author and reader. In addition to that, this book also contains a number of exercises that provoke the student to wrack their brains. This book is highly recommended for students as well as engineers, as this book covers much more than simple differential equations.

“Advanced Engineering Mathematics By Michael Greenberg PDF File”

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### Book Contents

I. ORDINARY DIFFERENTIAL EQUATIONS.

1. Introduction to Differential Equations.
2. Equations of First Order.
3. Linear Differential Equations of Second Order and Higher.
4. Power Series Solutions.
5. Laplace Transform.
6. Quantitative Methods: Numerical Solution of Differential Equations.
7. Qualitative Methods: Phase Plane and Nonlinear Differential Equations.

II. LINEAR ALGEBRA.

8. Systems of Linear Algebraic Equations; Gauss Elimination.
9. Vector Space.
10. Matrices and Linear Equations.
11. The Eigenvalue Problem.
12. Extension to Complex Case (Optional).

III. SCALAR and VECTOR FIELD THEORY.

13. Differential Calculus of Functions of Several Variables.
14. Vectors in 3-Space.
15.Curves, Surfaces, and Volumes.
16. Scalar and Vector Field Theory.

IV. FOURIER SERIES AND PARTIAL DIFFERENTIAL EQUATIONS.

17. Fourier Series, Fourier Integral, Fourier Transform.
18. Diffusion Equation.
19. Wave Equation.
20. Laplace Equation.

V. COMPLEX VARIABLE THEORY.

21. Functions of a Complex Variable.
22. Conformal Mapping.
23. The Complex Integral Calculus.
24 Taylor Series, Laurent Series, and the Residue Theorem.
• Appendix A: Review of Partial Fraction Expansions.
• Appendix B: Existence and Uniqueness of Solutions of Systems of Linear Algebraic Equations.
• Appendix C: Table of Laplace Transforms.
• Appendix D: Table of Fourier Transforms.
• Appendix E: Table of Fourier Cosine and Sine Transforms.
• Appendix F: Table of Conformal Maps.

Michael D. Greenberg

### Book Details

Advanced Engineering Mathematics By Michael Greenberg – Details

 Book Name Advanced Engineering Mathematics Author Name Michael D. Greenberg Publications Pearson Education Language English ISBN-10 8177585460 ISBN-13 978-8177585469

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