Methods of applied mathematics for engineers and scientists / Tomas B. Co., Michigan Technological University.
Material type: TextPublisher: Cambridge : Cambridge University Press, 2013Description: 1 volume (various pagings) : illustrations ; 26 cmContent type:- text
- unmediated
- volume
- 9781107004122 (hardback)
- 1107004128 (hardback)
- 22 512.9434 COO
Item type | Current library | Collection | Call number | Vol info | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|---|
Book - Borrowing | Central Library First floor | Baccah | 512.9434 COO (Browse shelf(Opens below)) | 25845 | Available | 000032696 |
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512.921 AUF Beginning algebra with applications / | 512.94 WIL The algebraic eigenvalue problem / | 512.9434 BJO Numerical methods in matrix computations / | 512.9434 COO Methods of applied mathematics for engineers and scientists / | 512.9434 GOL Matrix computations / | 512.9434 MAT Matrix functions and matrix equations / | 512.9434 NAR A textbook of Matrices / |
Includes bibliographical references and index.
Machine generated contents note: 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.
"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 emphasizes 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 coordinates. 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"--
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