Bücher veröffentlicht von Birkhauser Verlag AG

This book presents new insights into Leibniz's research on planetary theory and his system of pre-established harmony. It also provides an in-depth discussion of Kepler's influence on Leibniz's planetary theory and more generally, on Leibniz's concept of pre-established harmony.

This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul): "Geometry and Arithmetic of Moduli Spaces of Coverings (2008)" and "Geometry and Arithmetic around Galois Theory (2009)".

Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand.

This volume contains surveys as well as research articles broadly centered on spectral analysis.

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations.

It provides a valuable resource to pediatricians and pediatric urologists facing urological management issues beyond their expertise in their aging patients as well as technical guidance to adult urologists who may have had little or no experience caring for patients with a congenital condition.

The chapters collectively highlight the interrelationship of basic and translational studies in each area, define the challenges to translation, and identify the existing basic issues that demand investigation as well as the opportunities for novel intervention to prevent and treat ENT pathology and impairment.

It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university.

Many arthropods use celestial (skylight) and terrestrial (magnetic) compass cues for orientation, and some of them were shown to develop, through experience, oriented behaviours based on a variety of innate, hard-wired orientation mechanisms.

Carbonic anhydrase (CA) is a seemingly ubiquitous enzyme of profound physiological importance, which plays essential roles in respiration, acid-base homeostasis, bone resorption, calcification, photosynthesis, several biosynthetic pathways and a variety of processes involving ion, gas and fluid transfer.

To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked.The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.

This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincare, Picard and many others.

Mielnik's geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator.

This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference "Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010.

Letter From The Editor.- Letter From The Editor.- Architecture, Mathematics and Perspective.- Giotto and Renaissance Perspective.- Perspective, a Visionary Process: The Main Generative Road for Crossing Dimensions.- Perspective in a box.- Juan Bautista Villalpando and the Nature and Science of Architectural Drawing.- Perspective versus Stereotomy: From Quattrocento Polyhedral Rings to Sixteenth-Century Spanish Torus Vaults.- The Sunlight Effect of the Kukulc¿Pyramid or The History of a Line.- Some Adaptations of Relativity in the 1920s and the Birth of Abstract Architecture.- Book Reviews.- The Mirror, the Window, and the Telescope: How Renaissance Linear Perspective Changed Our Vision of the Universe.- The Geometry of an Art. The History of Perspective from Alberti to Monge.- Forma y Representaci¿n. Un An¿sis Geom¿ico.

Letter from the Editor.- Letter from the Editor.- Recalling Eero Saarinen 1910-2010.- How the Gateway Arch Got its Shape.- Saarinen's Shell Game: Tensions, Structures, and Sounds at MIT.- The Next Largest Thing: The Spatial Dimensions of Liturgy in Eliel and Eero Saarinen's Christ Church Lutheran, Minneapolis.- Morphocontinuity in the work of Eero Saarinen.- Eero Saarinen, Eduardo Catalano and the Influence of Matthew Nowicki: A Challenge to Form and Function.- Eero Saarinen's North Christian Church in Columbus, Indiana.- Other Research.- On the Modular Design of Mughal Riverfront Funerary Gardens.- Discontinuous Double-shell Domes through Islamic eras in the Middle East and Central Asia: History, Morphology, Typologies, Geometry, and Construction.- At the Other End of the Sun's Path: A New Interpretation of Machu Picchu.- The Body, the Temple and the Newtonian Man Conundrum.- Book Review.- The Symbol at Your Door: Number and Geometry in Religious Architecture of the Greek and Latin Middle Ages.- Conference Report.- Architecture and Mathematics. A seminar to celebrate Professor emeritus Staale Sinding-Larsen's 80th birthday.- Erratum.- Erratum to: The Sunlight Effect of the Kukulcán Pyramid or The History of a Line.

This special issue of Pure and Applied Geophysics is one of two volumes containing an augmented collection of papers originating from the Evison Symposium on Seismogenesis and Earthquake Forecasting held in Wellington, New Zealand, in February 2008.

The second of two volumes, this text compiles survey articles borne of a landmark 1999 Tel Aviv conference dedicated to probing the importance, the methods, the past and future of mathematics as well as the connection between mathematics and related areas.

The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis.

Both metabotropic and ionotropic glutamate receptors present attractive "druggable" targets in treating disorders of the central nervous system.

These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs.

Biographie des ungarischen Mathematikers János Bolyai (1802-1860), der etwa gleichzeitig mit dem russischen Mathematiker Nikolai Lobatschewski und unabhängig von ihm die nichteuklidische Revolution eingeleitet hat. Diese erbrachte den Nachweis, dass die euklidische Geometrie keine Denknotwendigkeit ist, wie Kant irrtümlicherweise annahm. Das Verständnis für die kühnen Gedankengänge verbreitete sich allerdings erst in der zweiten Hälfte des 19. Jahrhunderts durch die Arbeiten von Riemann, Beltrami, Klein und Poincaré. Die nichteuklidische Revolution war eine der Grundlagen für die Entwicklung der Physik im 20. Jahrhundert und für Einsteins Erkenntnis, dass der uns umgebende reale Raum gekrümmt ist. Tibor Weszely schildert das wechselvolle Leben des Offiziers der K.u.K.-Armee, der krank und vereinsamt starb. Bolyai hat sich auch intensiv mit den komplexen Zahlen und mit Zahlentheorie befasst, ebenso auch mit philosophischen und sozialen Fragen (¿Allheillehre¿) sowie mit Logik und Grammatik.

We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schroedinger operators.