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An introduction to mathematical aspects of fluid mechanics that provides a compact and self-contained course on the classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. This title addresses the course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. It covers topics that are useful for algebraic topologists.
Provides a treatment of algebraic topology that reflects the enormous internal developments within the field and retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented.
The principles of symmetry and self-symmetry are expressed in fractals, the subject of study in dimension theory. This book introduces an area of research which has recently appeared in the interface between dimension theory and the theory of dynamical systems, focusing on invariant fractals.
An edition of the notes written by J. Frank Adams for his lecture series at the University of Chicago in 1967, 1970, and 1971. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology.
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