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Geometria Differenziale by Marco Abate , Francesca Tovena
Italiano | PDF (True) | 2011 | 478 Pages | ISBN : 8847019192 | 3.6 MB
L'opera fornisce una introduzione alla geometria delle varietà differenziabili, illustrandone le principali proprietà e descrivendo le principali tecniche e i più importanti strumenti usati per il loro studio. Uno degli obiettivi primari dell'opera è di fungere da testo di riferimento per chi (matematici, fisici, ingegneri) usa la geometria differenziale come strumento; inoltre può essere usato come libro di testo per diversi corsi introduttivi alla geometria differenziale, concentrandosi su alcuni dei vari aspetti della teoria presentati nell'opera. Più in dettaglio, nell'opera saranno trattati i seguenti argomenti: richiami di algebra multilineare e tensoriale, spesso non presentati nei corsi standard di algebra lineare; varietà differenziali, incluso il teorema di Whitney; fibrati vettoriali, incluso il teorema di Frobenius e un'introduzione ai fibrati principali; gruppi di Lie, incluso il teorema di corrispondenza fra sottogruppi e sottoalgebre; coomologia di de Rham, inclusa la dualità di Poincaré e il teorema di de Rham; connessioni, inclusa la teoria delle geodetiche; e geometria Riemanniana, con particolare attenzione agli operatori di curvatura e inclusi teoremi di Cartan-Hadamard, Bonnet-Myers, e Synge-Weinstein. Come abitudine degli autori, il testo è scritto in modo da favorire una lettura attiva, cruciale per un buon apprendimento di argomenti matematici; inoltre è corredato da numerosi esempi svolti ed esercizi proposti.

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Geometric Analysis and Applications to Quantum Field Theory by Peter Bouwknegt, Siye Wu
English | PDF(True) | 2002 | 213 Pages | ISBN : 0817642870 | 17.1 MB
In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics, represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action functionals together with physical backgrounds (A. Harris) * A review of monopoles in nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students, mathematicians and mathematical physicists in the above-mentioned areas will benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient background material motivates each chapter.

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Geometric Inequalities by Yuriĭ Dmitrievich Burago , Viktor Abramovich Zalgaller
English | PDF | 1988 | 346 Pages | ISBN : 3540136150 | 32 MB
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Geometric Integration Theory by teven Krantz , Harold Parks
English | PDF (True) | 2008 | 344 Pages | ISBN : 0817646760 | 4.3 MB
Geometric measure theory has roots going back to ancient Greek mathematics, for considerations of the isoperimetric problem (to ?nd the planar domain of given perimeter having greatest area) led naturally to questions about spatial regions and boundaries. In more modern times, the Plateau problem is considered to be the wellspring of questions in geometric measure theory. Named in honor of the nineteenth century Belgian physicist Joseph Plateau, who studied surface tension phenomena in general, andsoap?lmsandsoapbubblesinparticular,thequestion( initsoriginalformulation) was to show that a ?xed, simple, closed curve in three-space will bound a surface of the type of a disk and having minimal area. Further, one wishes to study uniqueness for this minimal surface, and also to determine its other properties. Jesse Douglas solved the original Plateau problem by considering the minimal surface to be aharmonic mapping (whichoneseesbystudyingtheDirichletintegral). For this work he was awarded the Fields Medal in 1936. Unfortunately, Douglas's methods do not adapt well to higher dimensions, so it is desirable to ?nd other techniques with broader applicability. Enter the theory of currents. Currents are continuous linear functionals on spaces of differential forms.

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Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations by Ovidiu Calin , Der-Chen Chang
English | PDF (True) | 2005 | 285 Pages | ISBN : 0817643540 | 2.2 MB
Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger's, Einstein's and Newton's equations.

Geometric Mechanics on Riemannian Manifolds is a fine text for a course or seminar directed at graduate and advanced undergraduate students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics. The text is enriched with good examples and exercises at the end of every chapter. It is also an ideal resource for pure and applied mathematicians and theoretical physicists working in these areas.
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Geometric Modeling for Scientific Visualization by Guido Brunnett, Bernd Hamann, Heinrich Müller, Lars Linsen
English | PDF | 2004 | 473 Pages | ISBN : 3540401164 | 59.4 MB
Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap, which led to the idea of composing a book on Geometric Modeling for Scientific Visualization. The editors received 39 submissions of high-quality research and survey papers, from which the 27 strongest are published in this book. All papers underwent a strict refereeing process. Topics covered include: Surface Reconstruction and Interpolation; Surface Interrogation and Modeling; Wavelets and Compression on Surfaces; Topology, Distance Fields and Solid Modeling; and others.

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Geometric Properties for Parabolic and Elliptic PDE's by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino
English | PDF (True) | 2013 | 294 Pages | ISBN : 884702840X | 3.2 MB
The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few.

This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.
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Geometry and Theoretical Physics by Joachim Debrus, Allen C. Hirshfeld
English | PDF | 333 Pages | ISBN : 3642763553 | 39.5 MB
The interaction between geometry and theoretical physics has often been very fruitful. A highlight in this century was Einstein's creation of the theory of general relativity. Equally impressive was the recognition, starting from the work of Yang and Mills and culminating in the Weinberg-Salam theory of the electroweak interaction and quantum chromodynamics, that the fundamental interactions of elementary particles are governed by gauge fields, which in ma thematical terms are connections in principal fibre bundles. Theoretical physi cists became increasingly aware of the fact that the use of modern mathematical methods may be necessary in the treatment of problems of physical interest. Since some of these topics are covered at most summarily in the usual curricu lum, there is a need for extra-curricular efforts to provide an opportunity for learning these techniques and their physical applications. In this context we arranged a meeting at the Physikzentrum Bad Ronnef 12-16 February 1990 on the subject "Geometry and Theoretical Physics", in the series of physics schools organized by the German Physical Society. The participants were graduate students from German universities and research institutes. Since the meeting occurred only a short time after freedom of travel between East and West Germany became a reality, this was for many from the East the first opportunity to attend a scientific meeting in the West, and for many from the West the first chance to become personally acquainted with colleagues from the East.

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Geometry: Our Cultural Heritage by Audun Holme
English | PDF | 2002 | 384 Pages | ISBN : 3642075460 | 31.3 MB
This book is based on lectures on geometry at the University of Bergen, Norway. Over the years these lectures have covered many different aspects and facets ofthis wonderful field.Consequently it has ofcourse never been possible to give a full and final account ofgeometry as such, at an undergraduate level: A carefully considered selection has always been necessary.The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too often the geometry which goes into the syllabus for teacher-students present the material as pedantic and formalistic, suppressing the very pow erful and dynamic character of this old - and yet so young! - field. A field of mathematical insight, research, history and source of artistic inspiration. And not least important, a foundation for our common cultural heritage. Another motivation is to provide an invitation to mathematics in gen eral. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics is more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. An im portant task is seriously attempting to heal these ills. Ills perhaps inflicted on students at an early age, through deficient or even harmful teaching prac tices. Thus the book also aims at an informed public, interested in making a new beginning in math. And in doing so, learning more about this part of our cultural heritage.

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Geometry-Driven Diffusion in Computer Vision by Bart M. Haar Romeny
English | PDF | 1994 | 461 Pages | ISBN : 0792330870 | 43.5 MB
Scale is a concept the antiquity of which can hardly be traced. Certainly the familiar phenomena that accompany sc ale changes in optical patterns are mentioned in the earliest written records. The most obvious topological changes such as the creation or annihilation of details have been a topic to philosophers, artists and later scientists. This appears to of fascination be the case for all cultures from which extensive written records exist. For th instance, chinese 17 c artist manuals remark that "distant faces have no eyes" . The merging of details is also obvious to many authors, e. g. , Lucretius mentions the fact that distant islands look like a single one. The one topo logical event that is (to the best of my knowledge) mentioned only late (by th John Ruskin in his "Elements of drawing" of the mid 19 c) is the splitting of a blob on blurring. The change of images on a gradual increase of resolu tion has been a recurring theme in the arts (e. g. , the poetic description of the distant armada in Calderon's The Constant Prince) and this "mystery" (as Ruskin calls it) is constantly exploited by painters.

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Geophysical Approach to Marine Coastal Ecology: The Case of Iriomote Island, Japan by Shinya Shimokawa
English | EPUB | 2020 | 271 Pages | ISBN : 9811511284 | 113.50 MB
This book presents recent results of collaborative studies in geophysics and ecology, focusing on the relationship between the physical environment and the distribution of the marine coastal ecosystems. The study area, the Sakiyamawan-Amitoriwan nature conservation area in Iriomote Island of Japan, is the only oceanic nature conservation area in the country.

The area has no access roads, and the bay perimeter is uninhabited; therefore, it preserves the natural environment with very little human impact. In addition, it has various environmental gradients such as topography and inflows from rivers with mangrove forests which affect the distribution of marine coastal ecosystems such as those containing reef-building corals, sea grasses, and hermit crabs. For these reasons, the area is one of the best places for the study of the relationship between the physical environment and the distribution of the marine coastal ecosystems, a relationship that is important for their conservation but has not been investigated fully. This book is aimed at students and researchers in the fields of oceanography and marine coastal ecology as well as general readers who are interested in coral reefs, diving, and nature conservation.
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George Cukor's People: Acting for a Master Director (Film and Culture Series) by Joseph McBride
English | January 7, 2025 | ISBN: 0231210825 | True EPUB | 536 pages | 84.3 MB
The director of classic films such as Sylvia Scarlett, The Philadelphia Story, Gaslight, Adam's Rib, A Star Is Born, and My Fair Lady, George Cukor is widely admired but often misunderstood. Reductively stereotyped in his time as a "woman's director"―a thinly veiled, disparaging code for "gay"―he brilliantly directed a wide range of iconic actors and actresses, including Cary Grant, Greta Garbo, Spencer Tracy, Joan Crawford, Marilyn Monroe, and Maggie Smith. As Katharine Hepburn, the star of ten Cukor films, told the director, "All the people in your pictures are as goddamned good as they can possibly be, and that's your stamp."

In this groundbreaking, lavishly illustrated critical study, Joseph McBride provides insightful and revealing essayistic portraits of Cukor's actors in their most memorable roles. The queer filmmaker gravitated to socially adventurous, subversively rule-breaking, audacious dreamers who are often sexually transgressive and gender fluid in ways that seem strikingly modern today. McBride shows that Cukor's seemingly self-effacing body of work is characterized by a discreet way of channeling his feelings through his actors. He expertly cajoled actors, usually gently but sometimes with bracing harshness, to delve deeply into emotional areas they tended to keep safely hidden. Cukor's wry wit, his keen sense of psychological and social observation, his charm and irony, and his toughness and resilience kept him active for more than five decades in Hollywood. George Cukor's People gives him the in-depth, multifaceted examination his rich achievement deserves.

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Geotechnical Engineering
by Pardeep Kumar Gupta, R. K. Khitoliya
English | 2020 | ISBN: 9389633117 | 425 Pages | PDF | 6.1 MB

The book exhaustively deals with the fundamental principles of soil mechanics and aims to serve the needs of B.E., and B. Tech students of Civil Engineering. It covers the syllabi of almost all technical universities and institutes. The concepts have been developed systematically. A large number of graded numerical examples and solutions are included. References are made to the relevant Indian Standard codes at appropriate places.

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Gerechtigkeit als Die Unruh im Uhrwerk: Debatten, Gespräche, Aufsätze zu Rechtstheorie, Rechtslinguistik und Methodik, zu Verfassungslehre und Verfassungsvergleichung By Müller, Friedrich
2009 | 281 Pages | ISBN: 3428129466 | PDF | 1 MB
Die Texte dieses Bandes sind im Rahmen der deutschsprachigen Rechtswissenschaft ganz überwiegend unveröffentlicht: Aufsätze zur vergleichenden Verfassungsdogmatik; zur Theorie und Interpretation der nationalen und internationalen Menschenrechte; zu einer materialistischen Sicht auf Verfassung, Gesellschaft, Demokratie; zum emphatisch verstandenen Kern von Demokratie und Republik. Ferner wurden aus den Interviews, Debatten und Gesprächen hier einige ausgewählt: zum Streit um die Möglichkeit einer marxistischen Rechtstheorie; zu den Grundlagen juristischer Methodik; zur noch jungen Disziplin der Rechtslinguistik; zu Praktischer Semantik und Strukturierender Rechtslehre; ferner zu Entstehung und wissenschaftsgeschichtlicher Verortung dieser theoretischen Position und zum Praxis-, Demokratie- und Politikbezug ihrer einzelnen Arbeitsfelder; schließlich zu Streitfragen der gegenwärtigen Rechtstheorie im Zwiegespräch zwischen Forschern aus Deutschland und den Vereinigten Staaten: Diskussionen, reich an Material und gedanklichen Ansätzen - in der gemeinsamen Zuversicht, Klärung durch Kontroverse und Verdichtung durch Dialog zu erreichen.Was betreibt den Rechtsbetrieb, was treibt ihn an? Es sind Triebe (nach Macht, nach Gütern) und also Konflikte. Auf etwas anderes zielt die Frage: Was beunruhigt die Welt des Rechts? Es ist das Bedürfnis nach Gerechtigkeit inmitten der Konflikte, nach Gegengewichten gegen das "Recht" (die Übermacht) des Stärkeren. Das Paradox besteht darin, dass es gerade die "Unruh" ist, die das Uhrwerk regelnd in Gang hält - das Uhrwerk als einen Betrieb des Rechts und nicht nur als eine Mechanik von Macht. In "Rechtsbetrieb" steckt eben auch "Recht".In diesem Buch geht es - unter all diesen Perspektiven - um das reale Recht und darum, es zu verstehen - das Recht, in dessen Räderwerk das Bedürfnis nach Gerechtigkeit den Platz der Unruh einnimmt.Aus dem Vorwort des Verfassers

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Gerhard Mercator als Theologe By Nieden, Marcel
2014 | 91 Pages | ISBN: 3428141091 | PDF | 1 MB
Das Verhältnis von Religion und Naturwissenschaft in der Frühen Neuzeit ist komplex. Religiöse Prägungen und Interessen konnten dem naturwissenschaftlichen Erkenntnisfortschritt entgegenstehen, sie konnten naturwissenschaftliche Forschungen aber auch - wie bei Gerhard Mercator (1512-1594) - anregen, ja geradezu fordern. Die Vorlesung zeichnet die religiöse Biographie des gelehrten Kartographen nach und erkundet anhand der Quellen dessen theologisches Denken. Dabei wird deutlich, dass sich Gerhard Mercator, vergleichbar seinen jüngeren Zeitgenossen Galileo Galilei oder Johannes Kepler, nicht einfach einer bestimmten Konfession zuordnen lässt, sondern in Orientierung an einer humanistisch geprägten Geist-Religion divergente Vorstellungen zu einer spannungsreichen Einheit verband.

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