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Word Processing in Groups
This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to
Fundamentals of Hyperbolic Manifolds
Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds.
Topology from the Differentiable Viewpoint
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
The Sports Gene
The New York Times bestseller – with a new afterword about early specialization in youth sports – from the author of Range: Why Generalists Triumph in a Specialized World. The debate is as old as physical competition. Are stars like Usain Bolt, Michael Phelps, and Serena Williams genetic freaks put on Earth to dominate their respective sports? Or are they simply normal people who overcame their biological limits through sheer force of will and obsessive training? In this controversial and engaging exploration of athletic success and the so-called 10,000-hour rule, David Epstein tackles the great nature vs. nurture debate and traces how far science has come in solving it. Through on-the-ground reporting from below the equator and above the Arctic Circle, revealing conversations with leading scientists and Olympic champions, and interviews with athletes who have rare genetic mutations or physical traits, Epstein forces us to rethink the very nature of athleticism.
Clinical Examination E-Book
The fourth edition of Clinical Examination provides a clear, practical and above all, superbly illustrated guide to all aspects of history taking and patient examination. Designed to be accessible both to medical students just starting their clinical attachments and to more experienced readers, the clear writing style, the innovative use of clinical photographs and the explanatory illustrations combine to explain and clarify the concepts and skills necessary to take a history and perform an examination. The text is organised by body system, with each chapter structured the same way: firstly, underlying structure and function; secondly, signs, symptoms and abnormalities; thirdly, patient exam...
The Topology of CW Complexes
Most texts on algebraic topology emphasize homological algebra, with topological considerations limited to a few propositions about the geometry of simplicial complexes. There is much to be gained however, by using the more sophisticated concept of cell (CW) complex. Even for simple computations, this concept ordinarily allows us to bypass much tedious algebra and often gives geometric insight into the homology and homotopy theory of a space. For example, the easiest way to calculate and interpret the homology of Cpn, complex projective n-space, is by means of a cellular decomposition with only n+ 1 cells. Also, by a suitable construction we can "realize" the sin gular complex of a space as ...
Conformal Geometry of Discrete Groups and Manifolds
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, Univ...
Good Without God
An inspiring and provocative exploration of an alternative to traditional religion Questions about the role of God and religion in today's world have never been more relevant or felt more powerfully. Many of us are searching for a place where we can find not only facts and scientific reason but also hope and moral courage. For some, answers are found in the divine. For others, including the New Atheists, religion is an "enemy." But in Good Without God, Greg Epstein presents another, more balanced and inclusive response: Humanism. He highlights humanity's potential for goodness and the ways in which Humanists lead lives of purpose and compassion. Humanism can offer the sense of community we want and often need in good times and bad—and it teaches us that we can lead good and moral lives without the supernatural, without higher powers . . . without God.
International LGBTQ+ Literature for Children and Young Adults
This edited collection explores LGBTQ+ literature for young readers around the world, and connects this literature to greater societal, political, linguistic, historical, and cultural concerns. It brings together contributions from across the academic and activist spectra, looking at picture books, middle-grade books and young adult novels to explore what is at stake when we write (or do not write) about LGBTQ+ topics for young readers. The topics include the representation of sexualities and gender identities; depictions of queer families; censorship; links between culture, language and sexuality/gender; translation of LGBTQ+ literature for young readers; and self-publishing. It is the first collection to expand the study of LGBTQ+ literature for young readers beyond the English-speaking world and to draw cross-cultural comparisons.
