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Leibnizs Metaphysics of Time and Space
Leibniz’s metaphysics of space and time stands at the centre of his philosophy and is one of the high-water marks in the history of the philosophy of science. In this work, Futch provides the first systematic and comprehensive examination of Leibniz’s thought on this subject. In addition to elucidating the nature of Leibniz’s relationalism, the book fills a lacuna in existing scholarship by examining his views on the topological structure of space and time, including the unity and unboundedness of space and time. It is shown that, like many of his more recent counterparts, Leibniz adopts a causal theory of time where temporal facts are grounded on causal facts, and that his approach to time represents a precursor to non-tensed theories of time.
Lasers, Clocks and Drag-Free Control : Exploration of Relativistic Gravity in Space
Over the next decade the gravitational physics community will benefit from dramatic improvements in many technologies critical to testing gravity. Highly accurate deep space navigation, interplanetary laser communication, interferometry and metrology, high precision frequency standards, precise pointing and attitude control, together with drag-free technologies, will revolutionize the field of experimental gravitational physics. The centennial of the general theory of relativity in 2015 will motivate a significant number of experiments designed to test this theory with unprecedented accuracy.
Landscapes of Mars : A Visual Tour
Landscapes of Mars is essentially a picture book that provides a visual tour of Mars. All the major regions and topographical features will be shown and supplemented with chapter introductions and extended captions. In a way, think of it as a visual tourist guide. Other topics covered are Martian uplands on the order of the elevation of Mt. Everest, Giant volcanoes and a rift system, the Grand Canyon of Mars, craters and the absence of craters over large regions (erosion), and wind shadows around craters, sand dunes, and dust devils.
La musica del Big Bang : Come la radiazione cosmica di fondo ci ha svelato i segreti dell’Universo = The music of the Big Bang : How the cosmic background radiation revealed the secrets of the Universe to us
Cosmic microwave background radiation is the residue of the great heat following the Big Bang. A tenuous sign, over 13 billion years old, in which the answers to many of the questions about the nature of our Universe are hidden. Discovered by chance in 1964, in the last forty years this fossil trace of the origins of the Cosmos has been explored with every available means. Two Nobel Prizes in physics have already been awarded for research involving it, the last in 2006 for the results of the COBE satellite. Much of the information encoded in the cosmic background radiation was impressed by the superimposition of acoustic waves present in the early Universe: a "music" of the Big Bang, which cosmologists have tried for years to reconstruct, using techniques similar to those that allow to distinguish the sound of different musical instruments. Only recently have the first notes of this extraordinary cosmic symphony finally been revealed, but the investigation is not over yet. This book illustrates, with a language suitable even for non-specialists, the theories, observations and discoveries that have brought cosmology into a new era.
L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld = The isomorphism between the Lubin-Tate and Drinfeld towers
This book contains a detailed and complete demonstration of the existence of an equivariate isomorphism between the Lubin-Tate and Drinfeld p-adic turns. The result is established in equal and unequal characteristics. There is also given as an application a proof that the equivariant cohomologies of these two turns are isomorphic, a result which has applications to the study of the local Langlands correspondence. During the proof, reminders and complements are given on the structure of the two preceding moduli spaces, the p-divisible formal groups and the p-adic rigid analytical geometry.
K-Theory : An Introduction
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch considered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory.
Kristian Birkeland : The First Space Scientist
PREFACEThisscientific biography of Kristian Birkeland (1867–1917) was written to bring the story ofa Norwegian national hero to the attention ofthe English-speaking world. Birkeland’sheroic stature was established not on a field of military battle,but in the bitter cold of the Artic wilderness ashe sought to answer basic questions abouthow the Sun controlled northern lights andmag-netic storms. He was also afather of Norsk Hydro one ofNorway’s largest industries. Birkel and died before reaching the age of 50.Because Birkel and never kept adiary, documented information about his family and private life is sparse. Before he died, Olaf Devik, the last of Birke-ffland’s close friends, gave along interview and graciously transferred his personal archive to A.E. Birkeland’s 82 scientific papers and three book-length publications map the progress of his investigations. addressed this book questions that had vexed European scientists for centuries. Why do the northern lights appear overhead when the Earth’s magnetic field is disturbed? How are magnetic storms connected to disturbances on the Sun? To answer these questions Birkeland interpreted his advance laboratory simulations and daring campaigns in the Arctic wilderness in the light of Maxwell’s newly discovered laws of electricity and magnetism. Birkeland’s ideas were dismissed for decades, only to be vindicated when satellites could fly above the Earth’s atmosphere.
Knowledge for Governance
Focuses on theoretical and empirical intersections between governance, knowledge and space from an interdisciplinary perspective. The contributions elucidate how knowledge is a prerequisite as well as a driver of governance efficacy, and conversely, how governance affects the creation and use of knowledge and innovation in geographical context.
Knowledge and Networks
This book discusses a core question in many fields of the social sciences, namely how to create, share and adopt new knowledge. It creates an original space for conversation between two lines of research that have developed largely in parallel for a long time: social network theory and the geography of knowledge. This book considers that relational thinking has become increasingly important for scholars to capture societal outcomes by studying social relations and networks, whereas the role of place, space and spatial scales has been somewhat neglected outside an emergent geography of knowledge.
Knowledge and Action
Explores interdependencies between knowledge, action, and space from different interdisciplinary perspectives. Some of the contributors discuss knowledge as a social construct based on collective action, while others look at knowledge as an individual capacity for action. The chapters contain theoretical frameworks as well as experimental outcomes.
Knot Theory and Its Applications
The book contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials; also included are key newer developments and special topics such as chord diagrams and covering spaces. The work introduces the fascinating study of knots and provides insight into applications to such studies as DNA research and graph theory. In addition, each chapter includes a supplement that consists of interesting historical as well as mathematical comments.
Jets from Young Stars II : Clues from High Angular Resolution Observations
This volume contains the edited lecture notes of the Second JETSET School on Jets from Young Stars: Clues from High Angular Resolution Observations organised by the Marie Curie Research Training Network JETSET: Jet Simulations, Experiments and Theory. After the opening two chapters on jet emission, readers can learn the fundamental background of modern high-spatial-resolution techniques, and how such methods have impacted on our understanding of young stars.
Its ONLY Rocket Science: An Introduction in Plain English
"Well, it’s not rocket science, is it?" How many times have you heard people use that expression when they mean something pretty simple? There are other areas of science and technology that are arguably more challenging than rocket science, but no other (perhaps apart from brain surgery) has entered mainstream English vocabulary as a byword for ‘difficult’.
Complex, Contact and Symmetric Manifolds : In Honor of L. Vanhecke
This volume contains introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.
Complex systems concurrent engineering : Collaboration, technology innovation and sustainability
Concurrent engineering is well-established as an approach to engineer product parts. However, the concept has much broader application. Complex Systems Concurrent Engineering: Collaboration, Technology Innovation and Sustainability demonstrates how concurrent engineering can be used to benefit the development of complex systems, to produce results that sustain balanced stakeholder satisfaction over time. Gathered from the 14th ISPE International Conference on Concurrent Engineering, the collected papers cover all aspects of the sustainable and integrated development of complex systems, such as airplanes, satellites, space vehicles, automobiles and ships.
Complex Orthogonal Space-Time Processing in Wireless Communications
Complex Orthogonal Space-Time Processing in Wireless Communications incorporates orthogonal space-time processing using STBCs in MIMO wireless communication systems. Complex Orthogonal STBCs (CO STBCs) are given emphasis because they can be used for PSK/QAM modulation schemes and are more practical than real STBCs. The overall coverage provides general knowledge about space-time processing and its applications for broad audiences. It also includes the most up-to-date review of the literature on space-time processing in general, and space-time block processing in particular.
Compactifying Moduli Spaces for Abelian Varieties
This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
Compactifications of Symmetric and Locally Symmetric Spaces
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces.
Commutative algebras of Toeplitz Operators on the Bergman Space
This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces.
Classical geometries in modern contexts : Geometry of real inner product spaces
This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of Möbius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. This implies that also mathematicians who have not so far been especially interested in geometry may study and understand great ideas of classical geometries in modern and general contexts.
