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| Author | : Society for the Foundation of Computational Mathematics |
| Publisher | : Cambridge University Press |
| Total Pages | : 249 |
| Release | : 2013 |
| Genre | : Computers |
| ISBN | : 1107604079 |
A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.
| Author | : Kazuaki Taira |
| Publisher | : Cambridge University Press |
| Total Pages | : 348 |
| Release | : 2016-04-28 |
| Genre | : Mathematics |
| ISBN | : 1316757358 |
A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.
| Author | : Roozbeh Hazrat |
| Publisher | : Cambridge University Press |
| Total Pages | : 244 |
| Release | : 2016-05-26 |
| Genre | : Mathematics |
| ISBN | : 1316727947 |
This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.
| Author | : Dzmitry Badziahin |
| Publisher | : Cambridge University Press |
| Total Pages | : 341 |
| Release | : 2016-11-10 |
| Genre | : Mathematics |
| ISBN | : 1107552370 |
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
| Author | : Masaki Kashiwara |
| Publisher | : Cambridge University Press |
| Total Pages | : 119 |
| Release | : 2016-05-26 |
| Genre | : Mathematics |
| ISBN | : 1316613453 |
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
| Author | : Manfred Stoll |
| Publisher | : Cambridge University Press |
| Total Pages | : 243 |
| Release | : 2016-06-30 |
| Genre | : Mathematics |
| ISBN | : 1107541484 |
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
| Author | : Grant Walker |
| Publisher | : Cambridge University Press |
| Total Pages | : 371 |
| Release | : 2018 |
| Genre | : Mathematics |
| ISBN | : 1108414486 |
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
| Author | : C. T. J. Dodson |
| Publisher | : Cambridge University Press |
| Total Pages | : 315 |
| Release | : 2016 |
| Genre | : Mathematics |
| ISBN | : 1316601951 |
A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.
| Author | : Martin T. Barlow |
| Publisher | : Cambridge University Press |
| Total Pages | : 239 |
| Release | : 2017-02-23 |
| Genre | : Mathematics |
| ISBN | : 1108124593 |
This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these transformations. Applications include the 'type problem': determining whether a graph is transient or recurrent. The final chapters show how geometric properties of the graph can be used to establish heat kernel bounds, that is, bounds on the transition probabilities of the random walk, and it is proved that Gaussian bounds hold for graphs that are roughly isometric to Euclidean space. Aimed at graduate students in mathematics, the book is also useful for researchers as a reference for results that are hard to find elsewhere.
| Author | : Thomas J. Bridges |
| Publisher | : Cambridge University Press |
| Total Pages | : 299 |
| Release | : 2016-02-04 |
| Genre | : Science |
| ISBN | : 1316558940 |
In the summer of 2014 leading experts in the theory of water waves gathered at the Newton Institute for Mathematical Sciences in Cambridge for four weeks of research interaction. A cross-section of those experts was invited to give introductory-level talks on active topics. This book is a compilation of those talks and illustrates the diversity, intensity, and progress of current research in this area. The key themes that emerge are numerical methods for analysis, stability and simulation of water waves, transform methods, rigorous analysis of model equations, three-dimensionality of water waves, variational principles, shallow water hydrodynamics, the role of deterministic and random bottom topography, and modulation equations. This book is an ideal introduction for PhD students and researchers looking for a research project. It may also be used as a supplementary text for advanced courses in mathematics or fluid dynamics.
