Advanced Engineering Mathematics, Pearson New International Edition (2e) : 9781292042541

Advanced Engineering Mathematics, Pearson New International Edition (2e)

Published by
Pearson Higher Ed USA
Out of stock
Title type

Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering.

This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.

Table of contents
  • 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
  • 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
  • 13. Differential Calculus of Functions of Several Variables
  • 14. Vectors in 3-Space
  • 15.Curves, Surfaces, and Volumes
  • 16. Scalar and Vector Field Theory
  • 17. Fourier Series, Fourier Integral, Fourier Transform
  • 18. Diffusion Equation
  • 19. Wave Equation
  • 20. Laplace Equation
  • 21. Functions of a Complex Variable
  • 22. Conformal Mapping
  • 23. The Complex Integral Calculus
  • 24. Taylor Series, Laurent Series, and the Residue Theorem
Features & benefits
  • Develops a deep understanding of essential principles as well as hands-on/how-to knowledge of actual practices.
  • Serves as an excellent reference tool for both students and practitioners with coverage reaching well beyond Ordinary Differential Equations.
  • Reflects the author's vast engineering background, making mathematical principles and applications more relevant to future engineers.
  • Designs pedagogy with the needs of both instructors and students in mind, combining technical rigor with clarity and accessibility.
  • Features a wealth of diverse exercise and problem sets to both challenge and reinforce students' understanding.
  • Provides unique Closure features at the end of each section and chapter reviews at the end of each chapter to review and summarise main points.
  • Application of the mathematical concept of nonlinearity to nerve impulse and visual perception.
  • An “omega method” for the derivation of the various space derivatives of base vectors in non-Cartesian coordinate systems.
  • Updates and improves coverage throughout the text to reflect the latest trends in the field and make the learning process more effective and efficient.
  • Opens coverage with seven chapters on Ordinary Differential Equations offering flexibility for use in either ODE dedicated courses or combined ODE/Linear Algebra courses.
  • Incorporates the Maple Computer Algebra System in the form of optional special-interest sections and exercises.