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Integration and Differential Equations

Integration and Differential Equations

R.S. Johnson | Mathematics
Rating:     Rated: 0 times
Format: PDF
Published: Feb 2013
Downloads: 374
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

An Introduction to Partial Differential Equations

R.S. Johnson | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Downloads: 301
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

Linear Algebra I

Kenneth Kuttler | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Downloads: 264
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

Matrix Methods and Differential Equations

Wynand S. Verwoerd | Mathematics
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Format: PDF
Published: Feb 2013
Downloads: 233
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

Mathematical Modeling I - preliminary

Hao Wang | Mathematics
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Format: PDF
Published: Feb 2013
Downloads: 526
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

Fluid Mechanics and the Theory of Flight

R.S. Johnson | Mathematics
Rating:     Rated: 2 times
Format: PDF
Published: Feb 2013
Downloads: 169
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

Linear Algebra II

Kenneth Kuttler | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Downloads: 152
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

Linear Algebra III

Kenneth Kuttler | Mathematics
Rating:     Rated: 0 times
Format: PDF
Published: Feb 2013
Downloads: 85
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

An Introduction to the Theory of Complex Variables

R.S. Johnson | Mathematics
Rating:     Rated: 1 times
Format: PDF
Published: Feb 2013
Downloads: 263
Pages: N/A

The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. Fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability, integration theorems, with...

An Introduction to Group Theory

An Introduction to Group Theory

Flor Aceff-Sánchez, Octavio A. Agustín-Aquino, Emi | Mathematics
Rating:     Rated: 0 times
Format: PDF
Published: Feb 2013
Downloads: 142
Pages: N/A

The success of Group Theory is impressive and extraordinary. Its influence is strongly felt in almost all scientific and artistic disciplines, in Music in particular, as is shown in this text. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry...

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