Advanced Engineering Mathematics, 5th Edition

Revised, expanded, and extremely comprehensive, this best-selling reference is almost like having your own personal tutor. You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.

• Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.
• Features a wealth of worked examples and progressively more challenging exercises.
• Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.
• Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.
• Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Preface to the Fifth Edition
Hints on Using the Book
Useful Background Information

Chapter 1 : Numerical Solution of Equations and Interpolation
Chapter 2 : Laplace Transforms Part 1
Chapter 3 : Laplace Transforms Part 2
Chapter 4 : Laplace Transforms Part 3
Chapter 5 : Difference Equations and the Z Transform
Chapter 6 : Introduction to Invariant Linear Systems
Chapter 7 : Fourier Series 1
Chapter 8 : Fourier Series 2
Chapter 9 : Introduction to the Fourier Transform
Chapter 10 : Power Series Solutions of Ordinary Differential Equations 1
Chapter 11 : Power Series Solutions of Ordinary Differential Equations 2
Chapter 12 : Power Series Solutions of Ordinary Differential Equations 3
Chapter 13 : Numerical Solutions of Ordinary Differential Equations
Chapter 14 : Partial Differentiation
Chapter 15 : Partial Differential Equations
Chapter 16 : Matrix Algebra
Chapter 17 : Systems of Ordinary Differential Equations
Chapter 18 : Numerical Solutions of Partial Differential Equations
Chapter 19 : Multiple Integration 1
Chapter 20 : Multiple Integration 2
Chapter 21 : Integral Functions
Chapter 22 : Vector Analysis 1
Chapter 23 : Vector Analysis 2
Chapter 24 : Vector Analysis 3
Chapter 25 : Complex Analysis 1
Chapter 26 : Complex Analysis 2
Chapter 27 : Complex Analysis 3
Chapter 28 : Optimization and Linear Programming

Appendix
Answers
Index