,P1: JZP Trim: 7in × 10in Top: 0.375in Gutter: 0.875in
CUUS1935-FM cuus1935/Co 978 1 107 00412 2 February 14, 2013 22:13
METHODS OF APPLIED MATHEMATICS FOR
ENGINEERS AND SCIENTISTS
Based on course notes from more than twenty years of teaching engi-
neering 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 under-
standing, 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 ordinary differential equations and partial
differential equations 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 numeri-
cal methods include stability analysis, differential algebraic equations,
high-order finite-difference formulas, Delaunay meshes, and others.
MATLAB implementations of the methods and concepts are fully
integrated.
Tomas Co is an associate professor of chemical engineering at
Michigan Technological University. After completing his PhD in chem-
ical engineering at the University of Massachusetts at Amherst, he was
a postdoctoral researcher at Lehigh University, a visiting researcher
at Honeywell Corp., and a visiting professor at Korea University.
He has been teaching applied mathematics to graduate and advanced
undergraduate students at Michigan Tech for more than twenty
years. His research areas include advanced process control, includ-
ing plantwide control, nonlinear control, and fuzzy logic. His journal
publications span broad areas in such journals as IEEE Transactions
in Automatic Control, Automatica, AIChE Journal, Computers in
Chemical Engineering, and Chemical Engineering Progress. He has
been nominated twice for the Distinguished Teaching Awards at
Michigan Tech and is a member of the Michigan Technological
University Academy of Teaching Excellence.
,P1: JZP Trim: 7in × 10in Top: 0.375in Gutter: 0.875in
CUUS1935-FM cuus1935/Co 978 1 107 00412 2 February 14, 2013 22:13
, P1: JZP Trim: 7in × 10in Top: 0.375in Gutter: 0.875in
CUUS1935-FM cuus1935/Co 978 1 107 00412 2 February 14, 2013 22:13
Methods of Applied Mathematics for
Engineers and Scientists
Tomas B. Co
Michigan Technological University
CUUS1935-FM cuus1935/Co 978 1 107 00412 2 February 14, 2013 22:13
METHODS OF APPLIED MATHEMATICS FOR
ENGINEERS AND SCIENTISTS
Based on course notes from more than twenty years of teaching engi-
neering 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 under-
standing, 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 ordinary differential equations and partial
differential equations 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 numeri-
cal methods include stability analysis, differential algebraic equations,
high-order finite-difference formulas, Delaunay meshes, and others.
MATLAB implementations of the methods and concepts are fully
integrated.
Tomas Co is an associate professor of chemical engineering at
Michigan Technological University. After completing his PhD in chem-
ical engineering at the University of Massachusetts at Amherst, he was
a postdoctoral researcher at Lehigh University, a visiting researcher
at Honeywell Corp., and a visiting professor at Korea University.
He has been teaching applied mathematics to graduate and advanced
undergraduate students at Michigan Tech for more than twenty
years. His research areas include advanced process control, includ-
ing plantwide control, nonlinear control, and fuzzy logic. His journal
publications span broad areas in such journals as IEEE Transactions
in Automatic Control, Automatica, AIChE Journal, Computers in
Chemical Engineering, and Chemical Engineering Progress. He has
been nominated twice for the Distinguished Teaching Awards at
Michigan Tech and is a member of the Michigan Technological
University Academy of Teaching Excellence.
,P1: JZP Trim: 7in × 10in Top: 0.375in Gutter: 0.875in
CUUS1935-FM cuus1935/Co 978 1 107 00412 2 February 14, 2013 22:13
, P1: JZP Trim: 7in × 10in Top: 0.375in Gutter: 0.875in
CUUS1935-FM cuus1935/Co 978 1 107 00412 2 February 14, 2013 22:13
Methods of Applied Mathematics for
Engineers and Scientists
Tomas B. Co
Michigan Technological University
