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# Mathematics

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### Second - Order Ordinary Differential Equations

R.S. Johnson | Mathematics
Rating:     Rated: 2 times
Format: PDF
Published: Feb 2013
Pages: N/A

Ordinary differential equations, and second-order equations, in particular, are at the heart of many mathematical descriptions of physical systems, as used by engineers, physicists and applied mathematicians. This text provides an introduction to all the relevant material normally encountered at...

### Integration and Differential Equations

R.S. Johnson | Mathematics
Rating:     Rated: 0 times
Format: PDF
Published: Feb 2013
Pages: N/A

Integration involves ideas, with associated techniques, that are familiar from school mathematics; mastering this branch of mathematics is an essential requirement before moving to more sophisticated concepts and applications. The material in this text (Part I) introduces and develops the standard...

### An Introduction to Partial Differential Equations

R.S. Johnson | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Pages: N/A

Most descriptions of physical systems, as used in physics, engineering and, above all, in applied mathematics, are in terms of partial differential equations. This text, presented in three parts, introduces all the main mathematical ideas that are needed for the construction of solutions. The...

### Linear Algebra I

Kenneth Kuttler | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Pages: N/A

This consists of the elementary aspects of linear algebra which depend mainly on row operations involving elementary manipulations of matrices. The field of scalars is typically the field of complex numbers.

### Matrix Methods and Differential Equations

Wynand S. Verwoerd | Mathematics
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Format: PDF
Published: Feb 2013
Pages: N/A

This book is aimed at students who encounter mathematical models in other disciplines. It assumes some knowledge of calculus, and explains the tools and concepts for analyzing models involving sets of either algebraic or 1st order differential equations. The text emphasizes commonalities between...

### Mathematical Modeling I - preliminary

Hao Wang | Mathematics
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Format: PDF
Published: Feb 2013
Pages: N/A

Mathematical modeling is the most effective bridge connecting mathematics and many disciplines such as physics, biology, computer science, engineering, and social sciences. A mathematical model, which is a mathematical description of a real system, can potentially help to explain a system, to...

### Fluid Mechanics and the Theory of Flight

R.S. Johnson | Mathematics
Rating:     Rated: 2 times
Format: PDF
Published: Feb 2013
Pages: N/A

The study of fluid mechanics is fundamental to modern applied mathematics, with applications to oceans, the atmosphere, flow in pipes, aircraft, blood flow and very much more. This text provides an introduction to the mathematical approach to this subject and to many of its main ideas, based on...

### Linear Algebra II

Kenneth Kuttler | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Pages: N/A

This contains the basic abstract theory of Linear algebra. It includes a discussion of the general fields of scalars, spectral theory, canonical forms, applications to Markov processes, and inner product spaces.

### Linear Algebra III

Kenneth Kuttler | Mathematics
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Format: PDF
Published: Feb 2013
Pages: N/A

This contains advanced topics such as various factorizations, singular value decompositions, Moore Penrose inverse, norms, convergence theorems, and an introduction to numerical methods like QR algorithm. Finally, there are some appendices which contain applications of linear algebra or linear...

### An Introduction to the Theory of Complex Variables

R.S. Johnson | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013