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This textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
Offers a biography of the nineteenth century poet, offering insights into the details of his early life in London, the torments that affected him, and the imaginative sources of his works.
This book overturns received ideas about Keats as a poet of "beauty" and "sensuousness," highlighting the little studied political perspectives of his works. Roe sets out to recover the vivacious, pugnacious voices of Keats's poetry, and traces the complex ways in which his poems responded to and addressed their contemporary world. The book also offers new research about Keats's early life that opens valuable and often provocative new perspectives on his poetry.
This book presents ten new chapters on John Keats's medical imagination, beginning with his practical engagement with dissection and surgery, and the extraordinary poems he wrote during his 'busy time' at Guy's Hospital 1815-17. The Physical Society at Guy's and the demands of a medical career are explored, as are the lyrical spheres of botany, melancholia, and Keats's strange oxymoronic poetics of suspended animation. Here too are links between surveillance of patients at Bedlam and of inner city streets that were walked by the poet of 'To Autumn'. The book concludes with a survey of multiple romantic pathologies of that most Keatsian of diseases, pulmonary tuberculosis.
The winding number is one of the most basic invariants in topology. It measures the number of times a moving point P goes around a fixed point Q, provided that P travels on a path that never goes through Q and that the final position of P is the same as its starting position. This simple idea has far-reaching applications. The reader of this book will learn how the winding number can help us show that every polynomial equation has a root (the fundamental theorem of algebra),guarantee a fair division of three objects in space by a single planar cut (the ham sandwich theorem),explain why every simple closed curve has an inside and an outside (the Jordan curve theorem),relate calculus to curvature and the singularities of vector fields (the Hopf index theorem),allow one to subtract infinity from infinity and get a finite answer (Toeplitz operators),generalize to give a fundamental and beautiful insight into the topology of matrix groups (the Bott periodicity theorem). All these subjects and more are developed starting only from mathematics that is common in final-year undergraduate courses.
Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking...
This unique book addresses the issue of sustainability from the point of view of landscape architecture, dealing with professional practices of planners, designers and landscape managers. This second edition contains updated and new material reflecting developments during the last five years and comprehensively addresses the relationship between landscape architecture and sustainability. Much in the text is underpinned by landscape ecology, in contrast to the idea of landscape as only appealing to the eye or aspiring cerebrally to be fine art. Landscape and Sustainability establishes that the sustainability agenda needs a new mindset among professionals: the driving question must always be ‘is it sustainable?’ Developing theory into practice, from the global to the local scale and from issues of policy and planning through to detailed design and implementation and on to long-term maintenance and management, the contributors raise and re-examine a complex array of research, policy and professional issues and agendas to contribute to the necessary ongoing debate about the future of both landscape and sustainability.
The study concludes with two chapters on the Roman plays and assesses Shakespeare's representation of the problem of conscience (Julius Caesar) and magnanimity (Antony and Cleopatra) in the light of Machiavelli's republicanism."--BOOK JACKET.