Methods of Applied Mathematics for Engineers and Scientists

This engineering mathematics textbook is rich with examples, applications and exercises, and emphasises applying matrices.

Tomas B. Co (Author)

9781107004122, Cambridge University Press

Hardback, published 28 June 2013

582 pages, 176 b/w illus. 52 tables 298 exercises
26 x 18.2 x 3.1 cm, 1.18 kg

'This outstanding book will join other esteemed works that are permanently on my shelf … The target readers encompass graduate students and researchers, as the book treats advanced concepts that are complementary to those of undergraduate textbooks. Throughout the book, software is expressed in MATLAB. Its matrix orientation makes it the ideal choice … its scope, depth, style, and relevance engender my strongest recommendation.' George Hacken, Computing Reviews

Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications and exercises. Professor Co uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues such as sparsity and efficiency. Chapters on vector calculus and integral theorems are used to build coordinate-free physical models with special emphasis on orthogonal co-ordinates. Chapters on ODEs and PDEs cover both analytical and numerical approaches. Topics on analytical solutions include similarity transform methods, direct formulas for series solutions, bifurcation analysis, Lagrange–Charpit formulas, shocks/rarefaction and others. Topics on numerical methods include stability analysis, DAEs, high-order finite-difference formulas, Delaunay meshes, and others. MATLAB® implementations of the methods and concepts are fully integrated.

1. Matrix algebra
2. Solution of multiple equations
3. Matrix analysis
4. Vectors and tensors
5. Integral theorems
6. Ordinary differential equations: analytical solutions
7. Numerical solution of initial and boundary value problems
8. Qualitative analysis of ordinary differential equations
9. Series solutions of linear ordinary differential equations
10. First order partial differential equations and the method of characteristics
11. Linear partial differential equations
12. Integral transform methods
13. Finite difference methods
14. Method of finite elements.

Subject Areas: Maths for engineers [TBJ], Technology, engineering, agriculture [T], Applied mathematics [PBW], Probability & statistics [PBT], Mathematics [PB], Mathematics & science [P]