A major revision of the first comprehensive field guide to cover the birds of this exciting region, this book will enable birders to identify any species found in any of the countries covered. Birds of Western Africa (Helm, 2001) was the first single-volume guide to cover all the species of this region, which comprises 23 countries from Senegal and southern Mauritania east to Chad and the Central African Republic, and south to Congo. This updated edition uses all of the illustrations from Birds of Western Africa, along with a number of new paintings. The book also has updated colour distribution maps for each species placed on the text pages for the first time. On facing pages, concise, authoritative text aids identification to create a conveniently-sized, lightweight field reference covering all 1300 species found in the region. This handy guide will enable birders to identify any species found in any of the countries covered.
The ultimate field guide to the birds of Ghana, an indispensable companion for any traveller to the region. This spectacular new edition of Birds of Ghana is the ultimate reference to the birds of this rich and varied corner of Africa. Now fully revised and expanded, this guide is essential for researchers, birders and conservationists alike. This authoritative book covers all 773 species recorded in Ghana and neighbouring Togo, including details of all residents, migrants and known vagrants. Over 150 stunning colour plates depict every species and also comprehensively cover all the distinct plumages and subspecies likely to be encountered. Concise species accounts describe key identification features, status, range, habitat and voice with fully updated distribution maps for each species.
This comprehensive and fully updated edition of Birds of Senegal and The Gambia is the ultimate guide for travellers and birdwatchers visiting one of Africa's richest birdwatching regions. The Gambia, together with the country that envelops it, Senegal, has an avifauna of more than 700 regularly occurring species, including many Western Palearctic migrants from September to April, and a significant list of highly sought-after resident West African birds, including the Egyptian Plover. This authoritative guide covers all species, including details of all residents, migrants and known vagrants. Senegal and The Gambia offer a true wealth of birdlife, including a fantastic selection of Sahel specialities that are far more easily seen here than anywhere else. Senegal has become a reliable locality for Golden Nightjar, Quail-plover and Cricket Warbler, and the near-endemic Mali Firefinch occurs in the southeast of the country. Birdwatchers in this region can also find Savile's Bustard, Adamawa Turtle Dove, Little Grey Woodpecker, Yellow Penduline Tit, Sudan Golden Sparrow and Exclamatory Paradise Whydah, while the Saloum delta's huge roost of tens of thousands of African Swallow-tailed Kites is one of the world's top birding spectacles. More than 140 stunning colour plates depict every species and also comprehensively cover all the distinct plumages and subspecies likely to be encountered. Concise species accounts describe key identification features, status, range, habitat and voice, with fully updated distribution maps for each species. This compact guide is an essential companion for any birder visiting this rich and varied area of Western Africa.
This new field guide covers The Gambia, a country which is very popular with a large number of birders and tourists, and the whole of neighbouring Senegal. This fascinating region shelters many Western Palearctic migrants from September to April, as well as a significant list of resident West African birds. The stunning colour plates depict more than 680 species, covering almost every distinct plumage and race. The authoritative text highlights the key features needed to identify each species in the field, and accurate up-to-date maps are provided for every species. This comprehensive guide is an essential companion for anyone visiting The Gambia and Senegal.
In A von Neumann Algebra Approach to Quantum Metrics, Kuperberg and Weaver propose a new definition of quantum metric spaces, or W*-metric spaces, in the setting of von Neumann algebras. Their definition effectively reduces to the classical notion in the atomic abelian case, has both concrete and intrinsic characterizations, and admits a wide variety of tractable examples. A natural application and motivation of their theory is a mutual generalization of the standard models of classical and quantum error correction. In Quantum Relations Weaver defines a ``quantum relation'' on a von Neumann algebra $\mathcal{M}\subseteq\mathcal{B}(H)$ to be a weak* closed operator bimodule over its commutant $\mathcal{M}'$. Although this definition is framed in terms of a particular representation of $\mathcal{M}$, it is effectively representation independent. Quantum relations on $l^\infty(X)$ exactly correspond to subsets of $X^2$, i.e., relations on $X$. There is also a good definition of a ``measurable relation'' on a measure space, to which quantum relations partially reduce in the general abelian case. By analogy with the classical setting, Weaver can identify structures such as quantum equivalence relations, quantum partial orders, and quantum graphs, and he can generalize Arveson's fundamental work on weak* closed operator algebras containing a masa to these cases. He is also able to intrinsically characterize the quantum relations on $\mathcal{M}$ in terms of families of projections in $\mathcal{M}{\overline{\otimes}} \mathcal{B}(l^2)$.
The book is very well-written by one of the leading figures in the subject. It is self-contained, includes relevant recent advances and is enriched by a large number of examples and illustrations. In addition to the general bibliography, each chapter includes a section of notes, which details the authorship of the main results, and provides useful hints for further readings. Undoubtedly, this edition will be received by researchers with the same success as the first one.'European Mathematical SocietyThis is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions. Every functional analyst should have some knowledge of this subject.
The book is very well-written by one of the leading figures in the subject. It is self-contained, includes relevant recent advances and is enriched by a large number of examples and illustrations. In addition to the general bibliography, each chapter includes a section of notes, which details the authorship of the main results, and provides useful hints for further readings. Undoubtedly, this edition will be received by researchers with the same success as the first one.'European Mathematical SocietyThis is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions. Every functional analyst should have some knowledge of this subject.
In A von Neumann Algebra Approach to Quantum Metrics, Kuperberg and Weaver propose a new definition of quantum metric spaces, or W*-metric spaces, in the setting of von Neumann algebras. Their definition effectively reduces to the classical notion in the atomic abelian case, has both concrete and intrinsic characterizations, and admits a wide variety of tractable examples. A natural application and motivation of their theory is a mutual generalization of the standard models of classical and quantum error correction. In Quantum Relations Weaver defines a ``quantum relation'' on a von Neumann algebra $\mathcal{M}\subseteq\mathcal{B}(H)$ to be a weak* closed operator bimodule over its commutant $\mathcal{M}'$. Although this definition is framed in terms of a particular representation of $\mathcal{M}$, it is effectively representation independent. Quantum relations on $l^\infty(X)$ exactly correspond to subsets of $X^2$, i.e., relations on $X$. There is also a good definition of a ``measurable relation'' on a measure space, to which quantum relations partially reduce in the general abelian case. By analogy with the classical setting, Weaver can identify structures such as quantum equivalence relations, quantum partial orders, and quantum graphs, and he can generalize Arveson's fundamental work on weak* closed operator algebras containing a masa to these cases. He is also able to intrinsically characterize the quantum relations on $\mathcal{M}$ in terms of families of projections in $\mathcal{M}{\overline{\otimes}} \mathcal{B}(l^2)$.
This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.
Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to long-standing problems in C*-algebra using set-theoretic methods, many achieved by the author and his collaborators, have generated new interest in this subject. This is the first book aimed at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics.
With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a
Discusses truth and assertibility as they relate to the foundations of mathematical thought, with examples from the works of mathematicians Frege and Tarski.
We define a "quantum relation" on a von Neumann algebra M⊆B(H) to be a weak* closed operator bimodule over its commutant M′. Although this definition is framed in terms of a particular representation of M, it is effectively representation independent. Quantum relations on l∞(X) exactly correspond to subsets of X2, i.e., relations on X. There is also a good definition of a "measurable relation" on a measure space, to which quantum relations partially reduce in the general abelian case. By analogy with the classical setting, we can identify structures such as quantum equivalence relations, quantum partial orders, and quantum graphs, and we can generalize Arveson's fundamental work on weak* closed operator algebras containing a masa to these cases. We are also able to intrinsically characterize the quantum relations on M in terms of families of projections in M⊗ ̄B(l2).
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