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Advanced Engineering Mathematics 6th edition by Lawrence Turyn, Peter ONeil ISBN 0534552080 9780534552084

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ISBN 10: 0534552080
ISBN 13: 978-0534552084
Author: Lawrence Turyn, Peter V. O’Neil

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.
 

Advanced Engineering Mathematics 6th Table of contents:

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

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