Advanced Engineering Mathematics with Matlab(r)

6th Auflage
ISBN: 978-1-041-01858-2
Verlag: CRC Press

Buch, Englisch, 661 Seiten, Format (B × H): 178 mm x 254 mm

Reihe: Advances in Applied Mathematics

In the five previous editions of Advanced Engineering Mathematics with MATLAB®, the author presented a text firmly grounded in mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard Space Flight, he combines teaching and practical experience that is rare among authors of advanced engineering mathematics books.

This edition continues to refine a smaller, easier to read, and useful version of this classic textbook. While competing textbooks continue to grow, the book presents a slimmer, more practical option to align with the expectations of today’s students.

The new edition of the author’s classic textbook continues on a path to creating the best possible learning resource for instructors and students alike. Through extensive class testing over five previous editions, including the author’s current course at the US Naval Academy, the book has been steadily improved.

The primary mission of this edition is to dramatically increase the quality and quantity of examples and problems, especially in the chapters on differential equations and Laplace transforms. The chapters on differential equations, linear algebra, Fourier series, and Laplace transforms have seen the greatest changes. Of course, this edition continues to offer a wealth of examples and applications from scientific and engineering literature, a highlight of previous editions.

MATLAB® remains central to the presentation and is employed to reinforce the concepts that are taught. Worked solutions are given in the back of the book. An Instructor’s Solutions Manual is also available.

Zielgruppe

Undergraduate Advanced

Autoren/Hrsg.

Duffy, Dean G

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. First-Order Ordinary Differential Equations

2. Higher-Order Ordinary Differential Equations

3. Linear Algebra

4. Vector Calculus

5. Fourier Series

6. The Fourier Transform

7. The Laplace Transform

8. The Wave Equation

9. The Heat Equation

10. Laplace’s Equation

11. The Sturm-Liouville Problem

12. Special Functions

Über Autor(innen)

Dean G. Duffy has taught at the US Naval Academy and US Military Academy. He spent 25 years working on numerical weather prediction, oceanic wave modeling, and dynamical meteorology at NASA’s Goddard Space Flight Center. Prior to this, he was a numerical weather prediction officer in the US Air Force. He earned his Ph.D. in meteorology from MIT. Dr. Duffy has written several books on transform methods, engineering mathematics, and mixed boundary value problems including Green’s Functions with Applications, Second Edition, published by CRC Press.