Advanced Engineering Mathematics – Peter V. O’Neil – International 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. Advanced Engineering Mathematics features a greater number of examples and problems and is 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, incorporating the use of leading software packages. Computational assistance, exercises and projects have been included to encourage students to make use of these computational tools.

The content is organized into eight 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, Partial Differential Equations, Complex Analysis, and Probability and Statistics.

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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: 495082376
    • ISBN-13: 9780495082378
    • Edition: International Edition
    • Publication date: 2006
    • Topic: Math
    • Subtopic: Advanced Mathematics
    • File Type: eBook
    • Idioma: English

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