عنوان

Methods of applied mathematics for engineers and scientists /

(Number (ISBN

1107004128

(Number (ISBN

9781107004122

Number

dltt

Title Proper

Methods of applied mathematics for engineers and scientists /

General Material Designation

[Book]

First Statement of Responsibility

Tomas B. Co., Michigan Technological University

Specific Material Designation and Extent of Item

1 volume (various pagings) :

Other Physical Details

illustrations ;

Dimensions

26 cm

Text of Note

Includes bibliographical references (B-1-B-4) and index

Text of Note

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

8

Text of Note

"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"--

Differential equations-- Numerical solutions

Matrices

Co, Tomas B.,1959-

Date of Transaction

20170110090524.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y