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Ptolemy's Geography - Ptolemy - Bog - Princeton University Press - Plusbog.dk

Ptolemy's Geography - Ptolemy - Bog - Princeton University Press - Plusbog.dk

Ptolemy''s Geography is the only book on cartography to have survived from the classical period and one of the most influential scientific works of all time. Written in the second century AD, for more than fifteen centuries it was the most detailed topography of Europe and Asia available and the best reference on how to gather data and draw maps. Ptolemy championed the use of astronomical observation and applied mathematics in determining geographical locations. But more importantly, he introduced the practice of writing down coordinates of latitude and longitude for every feature drawn on a world map, so that someone else possessing only the text of the Geography could reproduce Ptolemy''s map at any time, in whole or in part, at any scale. Here Berggren and Jones render an exemplary translation of the Geography and provide a thorough introduction, which treats the historical and technical background of Ptolemy''s work, the contents of the Geography, and the later history of the work.

DKK 493.00
1

Totally Nonnegative Matrices - Shaun M. Fallat - Bog - Princeton University Press - Plusbog.dk

Totally Nonnegative Matrices - Shaun M. Fallat - Bog - Princeton University Press - Plusbog.dk

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics.The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.

DKK 610.00
1

Totally Nonnegative Matrices - Shaun M. Fallat - Bog - Princeton University Press - Plusbog.dk

Totally Nonnegative Matrices - Shaun M. Fallat - Bog - Princeton University Press - Plusbog.dk

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics.The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.

DKK 413.00
1

How to Die - E. F. Watling Seneca - Bog - Princeton University Press - Plusbog.dk

How to Die - E. F. Watling Seneca - Bog - Princeton University Press - Plusbog.dk

Timeless wisdom on death and dying from the celebrated Stoic philosopher Seneca "It takes an entire lifetime to learn how to die," wrote the Roman Stoic philosopher Seneca (c. 4 BC–65 AD). He counseled readers to "study death always," and took his own advice, returning to the subject again and again in all his writings, yet he never treated it in a complete work. How to Die gathers in one volume, for the first time, Seneca''s remarkable meditations on death and dying. Edited and translated by James S. Romm, How to Die reveals a provocative thinker and dazzling writer who speaks with a startling frankness about the need to accept death or even, under certain conditions, to seek it out. Seneca believed that life is only a journey toward death and that one must rehearse for death throughout life. Here, he tells us how to practice for death, how to die well, and how to understand the role of a good death in a good life. He stresses the universality of death, its importance as life''s final rite of passage, and its ability to liberate us from pain, slavery, or political oppression. Featuring beautifully rendered new translations, How to Die also includes an enlightening introduction, notes, the original Latin texts, and an epilogue presenting Tacitus''s description of Seneca''s grim suicide.

DKK 170.00
1

Early Christian Books in Egypt - Roger S. Bagnall - Bog - Princeton University Press - Plusbog.dk

Early Christian Books in Egypt - Roger S. Bagnall - Bog - Princeton University Press - Plusbog.dk

For the past hundred years, much has been written about the early editions of Christian texts discovered in the region that was once Roman Egypt. Scholars have cited these papyrus manuscripts--containing the Bible and other Christian works--as evidence of Christianity''s presence in that historic area during the first three centuries AD. In Early Christian Books in Egypt , distinguished papyrologist Roger Bagnall shows that a great deal of this discussion and scholarship has been misdirected, biased, and at odds with the realities of the ancient world. Providing a detailed picture of the social, economic, and intellectual climate in which these manuscripts were written and circulated, he reveals that the number of Christian books from this period is likely fewer than previously believed.Bagnall explains why papyrus manuscripts have routinely been dated too early, how the role of Christians in the history of the codex has been misrepresented, and how the place of books in ancient society has been misunderstood. The author offers a realistic reappraisal of the number of Christians in Egypt during early Christianity, and provides a thorough picture of the economics of book production during the period in order to determine the number of Christian papyri likely to have existed. Supporting a more conservative approach to dating surviving papyri, Bagnall examines the dramatic consequences of these findings for the historical understanding of the Christian church in Egypt.

DKK 413.00
1

Intermittent Convex Integration for the 3D Euler Equations - Tristan Buckmaster - Bog - Princeton University Press - Plusbog.dk

Intermittent Convex Integration for the 3D Euler Equations - Tristan Buckmaster - Bog - Princeton University Press - Plusbog.dk

A new threshold for the existence of weak solutions to the incompressible Euler equations To gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates.

DKK 549.00
1

The Revolutionary City - Mark R. Beissinger - Bog - Princeton University Press - Plusbog.dk

The Revolutionary City - Mark R. Beissinger - Bog - Princeton University Press - Plusbog.dk

How and why cities have become the predominant sites for revolutionary upheavals in the contemporary worldExamining the changing character of revolution around the world, The Revolutionary City focuses on the impact that the concentration of people, power, and wealth in cities exercises on revolutionary processes and outcomes. Once predominantly an urban and armed affair, revolutions in the twentieth century migrated to the countryside, as revolutionaries searched for safety from government repression and discovered the peasantry as a revolutionary force. But at the end of the twentieth century, as urban centers grew, revolution returned to the city—accompanied by a new urban civic repertoire espousing the containment of predatory government and relying on visibility and the power of numbers rather than arms. Using original data on revolutionary episodes since 1900, public opinion surveys, and engaging examples from around the world, Mark Beissinger explores the causes and consequences of the urbanization of revolution in the late twentieth and early twenty-first centuries. Beissinger examines the compact nature of urban revolutions, as well as their rampant information problems and heightened uncertainty. He investigates the struggle for control over public space, why revolutionary contention has grown more pacified over time, and how revolutions involving the rapid assembly of hundreds of thousands in central urban spaces lead to diverse, ad hoc coalitions that have difficulty producing substantive change. The Revolutionary City provides a new understanding of how revolutions happen and what they might look like in the future.

DKK 790.00
1