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#### Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

Cambridge University Press 2005; US$ 112.00A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology. more...

#### Dimension and Extensions

Elsevier Science 1993; US$ 72.95Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems.... more...

#### Dimension Theory in Dynamical Systems

University of Chicago Press 2008; US$ 30.00The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions... more...

#### Selectors

Princeton University Press 2009; US$ 82.50Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of what is known and proven about selectors--and what remains to be found. The authors focus on selection... more...

#### Dimension theory

Elsevier Science 2000; US$ 275.00This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for... more...

#### Dimensions, Embeddings, and Attractors

Cambridge University Press 2010; US$ 64.00Accessible monograph exploring what it means for a set to be 'finite-dimensional' and applying the abstract theory to attractors. more...

#### Topological Methods for Set-Valued Nonlinear Analysis

World Scientific Publishing Company 2008; US$ 255.00This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and... more...

#### Set-Valued Analysis

Springer 2008; US$ 69.99Presents an introduction to multivalued or set-valued analysis. This title is suitable for graduate students and mathematicians. more...

#### Dimension Theory of Hyperbolic Flows

Springer 2013; US$ 109.00The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date,... more...