Advanced Engineering Mathematics – Peter O’Neil – 7th Edition


Through previous editions, Peter O’Neil has made rigorous engineering mathematics topics accessible to thousands of students by emphasizing visuals, numerous examples, and interesting mathematical models.

Now, ADVANCED ENGINEERING MATHEMATICS features revised examples and problems as well as newly added content that has been fine-tuned throughout to improve the clear flow of ideas. The computer plays a more prominent role than ever in generating computer graphics used to display concepts and problem sets. In this new edition, computational assistance in the form of a self contained Maple Primer has been included to encourage students to make use of such computational tools.

The content has been reorganized into six parts and covers a wide spectrum of topics including Ordinary Differential Equations, Vectors and Linear Algebra, Systems of Differential Equations and Qualitative Methods, Vector Analysis, Fourier Analysis, Orthogonal Expansions, and Wavelets, and much more.

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  • Part I. Ordinary Differential Equations

    Chapter 1. First Order Differential Equations
    Chapter 2. Linear Second Order Differential Equations
    Chapter 3. The Laplace Transform
    Chapter 4. Series Solutions
    Chapter 5. Numerical Approximation of Solutions

    Part II. Vectors and Linear Algebra

    Chapter 6. Vectors and Vector Spaces
    Chapter 7. Matrices and Systems of Linear Equations
    Chapter 8. Determinants
    Chapter 9. Eigenvalues, Diagonalization and Special Matrices

    Part III. Systems of Differential Equations and Qualitative Methods

    Chapter 10. Systems of Linear Differential Equations
    Chapter 11. Qualitative Methods and Systems of Nonlinear Differential Equations

    Part IV. Vector Analysis

    Chapter 12. Vector Differential Calculus
    Chapter 13. Vector Integral Calculus

    Part V. Fourier Analysis, Orthogonal Expansions and Wavelets

    Chapter 14. Fourier Series
    Chapter 15. The Fourier Integral and Fourier Transforms
    Chapter 16. Special Functions, Orthogonal Expansions and Wavelets

    Part VI. Partial Differential Equations

    Chapter 17. The Wave Equation
    Chapter 18. The Heat Equation
    Chapter 19. The Potential Equation

    Part VII. Complex Analysis

    Chapter 20. Geometry and Arithmetic of Complex Numbers
    Chapter 21. Complex Functions
    Chapter 22. Complex Integration
    Chapter 23. Series Representations of Functions
    Chapter 24. Singularities and the Residue Theorem
    Chapter 25. Conformal Mappings

    Part VIII. Probability and Statistics

    Chapter 26. Counting and Probability
    Chapter 27. Statistics
  • Citation
    • Full Title: Advanced Engineering Mathematics
    • Author/s:
    • ISBN-10: 1111427410
    • ISBN-13: 9781111427412
    • Edition: 7th Edition
    • Topic: Math
    • Subtopic: Advanced Mathematics
    • File Type: eBook | Solution Manual
    • Idioma: English

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