02835cam a2200313 i 4500 17621245 EG-ScBUE 20240923111803.0 130211s2013 enka f b f001 0 eng d 9781107004122 (hardback) 1107004128 (hardback) DLC eng rda DLC DLC EG-ScBUE 22 512.9434 COO Co, Tomas B., 1959- author. 40258 Methods of applied mathematics for engineers and scientists / Tomas B. Co., Michigan Technological University. Cambridge : Cambridge University Press, 2013. 1 volume (various pagings) : illustrations ; 26 cm rdacontent text txt unmediated rdamedia n volume nc rdacarrier 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"-- Matrices. BUEsh 7107 Differential equations Numerical solutions. BUEsh 36429 ENGGEN June2016 Reading book ddc BB 21924 21896 0 0 ddc 0 0 Baccah MAIN MAIN 1ST 2016-06-20 Purchase 1050.00 25845 0 512.9434 COO 000032696 2025-07-15 00:00:00 1312.50 BB