Methods of applied mathematics for engineers and scientists
Material type: TextPublisher: New York, NY, USA : Cambridge University Press, 2013Description: xii, 559 p : illustrations 26 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9781107004122 (hardback); 1107004128 (hardback)Subject(s): Matrices | Differential equations -- Numerical solutions | Technology and engineering / Engineering (General)DDC classification: 512.9/434 LOC classification: QA188 | .C63 2013Other classification: TEC009000Item type | Current library | Collection | Call number | Status | Notes | Date due | Barcode |
---|---|---|---|---|---|---|---|
Books | Main Campus General Collection | General collection | QA188 .C63 2013 (Browse shelf(Opens below)) | Available | LC | 19440 |
Browsing Main Campus shelves, Shelving location: General Collection, Collection: General collection Close shelf browser (Hides shelf browser)
No cover image available | ||||||||
QA184.2 .W55 2011b Linear algebra with applications | QA184.2 .W65 2015 Linear algebra course notes | QA188 .B335 2011 Matrix completions, moments, and sums of Hermitian squares / | QA188 .C63 2013 Methods of applied mathematics for engineers and scientists | QA188 .R52 Matrix computations and mathematical software / | QA221 .T74 2001 Trends in approximation theory / | QA221 .W46 2005 Scattered data approximation / |
Includes bibliographical references (B-1-B-4) 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"-- Provided by publisher.
There are no comments on this title.