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Geometric Group Theory
The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces. This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. The book co...
Metric Geometry of Locally Compact Groups
The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups and can be favorably extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ``coarse'' refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view is instrumental in studying locally compact groups. Basic results in the subject are exposed with complete proofs; others are stated with appropriate references. Most importantly, the development of the theory is illustrated by numerous examples, including matrix groups with entries in the the field of real or complex numbers, or other locally compact fields such as $p$-adic fields, isometry groups of various metric spaces, and last but not least, discrete groups themselves. The book is aimed at graduate students, advanced undergraduate students, and mathematicians seeking some introduction to coarse geometry and locally compact groups.
Sapiens
'Interesting and provocative... It gives you a sense of how briefly we've been on this Earth' Barack Obama What makes us brilliant? What makes us deadly? What makes us Sapiens? One of the world's preeminent historians and thinkers, Yuval Noah Harari challenges everything we know about being human. Earth is 4.5 billion years old. In just a fraction of that time, one species among countless others has conquered it: us. In this bold and provocative book, Yuval Noah Harari explores who we are, how we got here and where we're going. **ONE OF THE GUARDIAN'S 100 BEST BOOKS OF THE 21st CENTURY** PRAISE FOR SAPIENS: 'Jaw-dropping from the first word to the last... It may be the best book I've ever read' Chris Evans 'Startling... It changes the way you look at the world' Simon Mayo 'I would recommend Sapiens to anyone who's interested in the history and future of our species' Bill Gates
Theory and Applications of Relational Structures as Knowledge Instruments
Relational structures abound in our daily environment: relational databases, data mining, scaling procedures, preference relations, etc. As the documentation of scientific results achieved within the European COST Action 274, TARSKI, this book advances the understanding of relational structures and the use of relational methods in various application fields. The 12 revised full papers were carefully reviewed and selected for presentations. The papers are devoted to mechanization of relational reasoning, relational scaling and preferences, and algebraic and logical foundations of real world relations.
Aleister Crowley and the Temptation of Politics
Aleister Crowley (1875-1947) is one of the most famous and significant authors in the history of western esotericism. Crowley has been long ignored by scholars of religion whilst the stories of magical and sexual practice which circulate about him continue to attract popular interest. "Aleister Crowley and the Temptation of Politics" looks at the man behind the myth - by setting him firmly within the politics of his time - and the development of his ideas through his extensive and extraordinarily varied writings. Crowley was a rationalist, sympathetic to the values of the Enlightenment, but also a romantic and a reactionary. His search for an alternative way to express his religious feelings...
Multidimensional Analysis
This book deals with the mathematical properties of dimensioned quantities, such as length, mass, voltage, and viscosity. Beginning with a careful examination of how one expresses the numerical results of a measurement and uses these results in subsequent manipulations, the author rigorously constructs the notion of dimensioned numbers and discusses their algebraic structure. The result is a unification of linear algebra and traditional dimensional analysis that can be extended from the scalars to which the traditional analysis is perforce restricted to multidimensional vectors of the sort frequently encountered in engineering, systems theory, economics, and other applications.
Doing Business in 2005
Doing Business in 2005: Obstacles to Growth is the second in a series of annual reports investigating the scope and manner of regulations that enhance business activity and those that constrain it. New quantitative indicators on business regulations and their enforcement can be compared across more than 130 countries, and over time. The indicators are used to analyze economic outcomes and identify what reforms have worked, where and why. Topics in Doing Business in 2005 include: Licensing and Inspections: Having registered a business, now what? In most countries, firms face a myriad of sector specific licenses as well as inspections to enforce compliance. The Doing Business database construc...
