Books published by Birkhauser Verlag AG

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.

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 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.

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.

This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.

Thiscollection presents significant contributions from an international network project on mathematicalcultures, including essays from leading scholars in the history and philosophyof mathematics and mathematics education. Mathematicshas universal standards of validity.

As with the previous edition, the first half of the text is primarily biological physics, emphasizing the use of ideas from physics to understand biology and physiology, and the second half is primarily medical physics, describing the use of physics in medicine for diagnosis (mainly imaging) and therapy.

A vital text that collates a wealth of previously dispersed material on the derivation and analysis of fluid models in plasma physics, this stimulating introduction to the topic deploys rigorous asymptotic analysis to justify classical physical approximations.

Describing novel mathematical concepts for recommendation engines, Realtime Data Mining: Self-Learning Techniques for Recommendation Engines features a sound mathematical framework unifying approaches based on control and learning theories, tensor factorization, and hierarchical methods.

Metabotropic glutamate receptors (mGluRs) are members of the group C family of G-protein-coupled receptors. Eight different mGlu subtypes have been identified and classified into three groups based on amino acid sequence similarity, agonist pharmacology, and the signal transduction pathways to which they couple.

This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies.

This book examines the design of two care pathways to establish how key principles associated with systems thinking, quality improvement, and supply chain management can improve the design of these services.

G-protein-coupled receptors (GPCRs) are believed to be the largest family of membrane proteins involved in signal transduction and cellular responses.

In this book, Vladimir Maz'ya describes the first thirty years of his life. He describes his formative years in the Soviet Union, the awakening of his passion for mathematics and his early achievements, presenting, in the process, a vivid picture of the time.

This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015.

This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics.

This book explores the idea that while we see the vampire as a hero of romance, or as a member of an oppressed minority struggling to fit in and acquire legal recognition, the vampire has in many ways changed beyond recognition over recent decades due to radically shifting formations of the sacred in contemporary culture.

In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text.

This authoritative reference presents the modern concepts of mesenchymal stem cells (MSCs) and biomaterials as they pertain to the dental field. The book is organized around three main topics: MSCs biology, advanced biomaterials, and clinical applications. The chapters present basic information on stem cell biology and physiology, modern biomaterials that improve bone tissue regeneration, the biomatrices likeplatelet-rich fibrin (PRF) used to functionalize the biomaterials surface, the strategic and safe intraoral seats of harvesting, the new sources for MSCs, as well as the future perspectives and new challenges in these exciting fields. The contributors are top scientists with a great deal of experience in regenerative dentistry and biomedical research. They offer an international perspective and are richly cross-disciplinary, representing academia, research, and industry. MSCs and Innovative Biomaterials in Dentistry is indispensable reading for students, researchers, and clinicians who need to stay up-to-date on the cutting-edge developments of tissue engineering and regenerative medicine applied to dental sciences.

This volume contains extended abstracts outlining selected talks and other selected presentations given by participants throughout the "Intensive Research Program on Advances in Nonsmooth Dynamics 2016", held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 1st to April 29th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and outlines of prominent discussion sessions. The articles are all the result of direct collaborations initiated during the research program.The topic is the theory and applications of Nonsmooth Dynamics. This includes systems involving elements of: impacting, switching, on/off control, hybrid discrete-continuous dynamics, jumps in physical properties, and many others. Applications include: electronics, climate modeling, life sciences, mechanics, ecology, and more. Numerous new results are reported concerning the dimensionality and robustness of nonsmooth models, shadowing variables, numbers of limit cycles, discontinuity-induced bifurcations and chaos, determinacy-breaking, stability criteria, and the classification of attractors and other singularities. This material offers a variety of new exciting problems to mathematicians, but also a diverse range of new tools and insights for scientists and engineers making use of mathematical modeling and analysis.The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.

This book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.The two parts of the present volume contain extended conference abstracts corresponding to selected talks from the "Biostatnet workshop on Biomedical (Big) Data" and from the "DoReMi LD-RadStats: Workshop for statisticians interested in contributing to EU low dose radiation research", the first held at the Centre de Recerca Matemàtica (CRM) in Barcelona from November 26th to 27th, 2015, and the second held at the Institut de Salut Global ISGlobal (former CREAL) from October 26th to 28th, 2015. Most of them are brief articles, containing preliminary presentations of new results not yet published in regular research journals.The first part is devoted to the challenges of analyzing the so called "Biomedical Big Data", large amounts of biomedical and health data that are generated every day due to the use of recent technological advances such as massive genomic sequencing, electronic health records or high-resolution medical imaging, among others. The analysis of this information poses significant challenges to researchers in the field of biostatistics, bioinformatics, and signal processing. Furthermore, other relevant challenges of biostatistical research, not necessarily involving big data, are also discussed. The second part is dedicated to low dose radiation research, where there is a need to fully understand sources of uncertainty and how to characterise them before they can be reduced. Further, formal uncertainty analysis has the potential to provide a common platform for multidisciplinary research in this field.

The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.Applications of harmonic analysis to data science and statisticsBoundary-value problems for PDE's including the Runge¿Walsh theorem for the oblique derivative problem of physical geodesy.