
- 1,428 pages
- English
- PDF
- Available on iOS & Android
Advanced Engineering Mathematics
About this book
A long-standing, best-selling, comprehensive textbook covering all the mathematics required on upper level engineering mathematics undergraduate courses. Its unique approach takes you through all the mathematics you need in a step-by-step fashion with a wealth of examples and exercises. The text demands that you engage with it by asking you to complete steps that you should be able to manage from previous examples or knowledge you have acquired, while carefully introducing new steps. By working with the authors through the examples, you become proficient as you go. By the time you come to trying examples on their own, confidence is high. Suitable for undergraduates in second and third year courses on engineering and science degrees.
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Information
Table of contents
- Summary of contents
- Contents
- Preface to the first edition
- Preface to the sixth edition
- Hints on using the book
- Useful background information
- Programme 1 Numerical solutions of equations and interpolation
- Programme 2 Laplace transforms 1
- Programme 3 Laplace transforms 2
- Programme 4 Laplace transforms 3
- Programme 5 Difference equations and the Z transform
- Programme 6 Introduction to invariant linear systems
- Programme 7 Fourier series 1
- Programme 8 Fourier series 2
- Programme 9 Introduction to the Fourier transform
- Programme 10 Power series solutions of ordinary differential equations 1
- Programme 11 Power series solutions of ordinary differential equations 2
- Programme 12 Power series solutions of ordinary differential equations 3
- Programme 13 Numerical solutions of ordinary differential equations
- Programme 14 Matrix algebra
- Programme 15 Systems of ordinary differential equations
- Programme 16 Direction fields
- Programme 17 Phase plane analysis
- Programme 18 Nonlinear systems
- Programme 19 Dynamical systems
- Programme 20 Partial differentiation
- Programme 21 Partial differential equations
- Programme 22 Numerical solutions of partial differential equations
- Programme 23 Multiple integration 1
- Programme 24 Multiple integration 2
- Programme 25 Integral functions
- Programme 26 Vector analysis 1
- Programme 27 Vector analysis 2
- Programme 28 Vector analysis 3
- Programme 29 Complex analysis 1
- Programme 30 Complex analysis 2
- Programme 31 Complex analysis 3
- Programme 32 Optimization and linear programming
- Appendix
- Answers
- Index
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