Bøker utgitt av Birkhauser Verlag AG

Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications.

This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).

This book focuses on the basic aspects of dental stem cells (DSCs) as well as their clinical applications in tissue engineering and regenerative medicine.

This study provides innovative mathematical models for assessing the eruption probability and associated volcanic hazards, and applies them to the Campi Flegrei caldera in Italy.

George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998).

This book provides a road map for defining the care of acute heart failure (HF) patients in the short stay or observation unit setting.

Now in a revised second edition, this comprehensive text covers all aspects of male hypogonadism from the basic science to clinical management, comprehensively explaining and applying new insights to the treatment of hypogonadal men.

This visionary and engaging book provides a mathematical perspective on the fundamental ideas of numbers, space, life, evolution, the brain and the mind. The author suggests how a development of mathematical concepts in the spirit of category theory may lead to unravelling the mystery of the human mind and the design of universal learning algorithms.The book is divided into two parts, the first of which describes the ideas of great mathematicians and scientists, those who saw sparks of light in the dark sea of unknown. The second part, Memorandum Ergo, reflects on how mathematics can contribute to the understanding of the mystery of thought. It argues that the core of the human mind is a structurally elaborated object that needs a creation of a broad mathematical context for its understanding. Readers will discover the main properties of the expected mathematical objects within this context, called ERGO-SYSTEMS, and readers will see how these ¿systems¿ may serve as prototypes for design of universal learning computer programs. This is a work of great, poetical insight and is richly illustrated. It is a highly attractive read for all those who welcome a mathematical and scientific way of thinking about the world.

In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs.

A comprehensive and detailed overview of the current state of preclinical research on histamine and histamine receptors.

This volume focuses on the outstanding contributions made by botany and the mathematical sciences to the genesis and development of early modern garden art and garden culture.

This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties.

In addition some advanced methods and extensions, including path integrals, jump diffusion and others are presented.The book consists of four parts: Analysis, Geometry, Perturbations and Applications.

Bibliographic notes, updated and expanded from the first edition, are included at the end of every chapter for further reading on Monge-Ampere-type equations and their diverse applications in the areas of differential geometry, the calculus of variations, optimization problems, optimal mass transport, and geometric optics.

This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Soci¿ Canadienne d¿Histoire et de Philosophie des Math¿tiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such asNew evidence that the Latin translation of Euclid¿s Elements was based on the Arabic version attributed to al-¿ajj¿jWork done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equationsAn original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between themKey issues in the digital preservation of mathematical material for future generationsA look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical communityThe growth of Math Circles and the unique ways they are being implemented in the United StatesWritten by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint.

This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis:Sparse Representations, Compressed Sensing and Multifractal Analysis".

This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer's research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory.

In combination, maldigestion, malabsorption, and increased metabolic demands pose a high hurdle for the patient to overcome in order to maintain optimal nutritional status.Nutrition in Cystic Fibrosis: A Guide for Clinicians is an excellent resource for physicians, nurses and dietitians who deliver care for patients with cystic fibrosis.

Mit diesem Band über die am häufigsten verwendeten statistischen Methoden wenden wir uns an einen breiten Kreis von Wissenschaftern und Studenten. Biologen, Medizinern, Ingenieuren, Wirtschaftswissenschaftern und Soziologen wird gezeigt, in welcher Art und Weise Varianzanalyse und Regressionsrechnung beim Auswerten von Beobachtungen und Versuchen anzuwenden sind. Das Buch, als Statistische Methoden Il bezeichnet, schliesst an unsere Ausführungen in Elementare statistische Methoden (UTB 796) an; auf dieses 1979 veröffentlichte Buch nehmen wir jeweils als Band I Bezug. Die neue Nume­ rierung erscheint uns auch deshalb gerechtfertigt, weil für die multivariaten Methoden ein eigener Band III geplant ist; die­ ser wird bald erscheinen. Um das Buch, soweit dies sinnvoll ist, in sich abge­ schlossen zu halten, sind gewisse Teile aus Band I nochmals in knapper Weise entwickelt worden; davon betroffen sind vor allem die einfache Varianzanalyse und die einfache lineare Regression. Wir wiederholen auch die wichtigsten Tafeln. Im Kapitel 1 stellen wir einige Begriffe aus der Wahr­ scheinlichkeitsrechnung, die elementaren Tests und die Grundzüge des Schätzens von Parametern zusammen. Kapi­ tel 2 bringt die varianzanalytischen Methoden, von der einfa­ chen bis zur dreifachen Klassierung. Wir gehen dabei auch auf die Probleme bei ungleichen Besetzungszahlen ein. Die Regressionsrechnung im Kapitel 3 beginnt mit dem einfachen Fall einer einzigen unabhängigen Variablen, dann wird über zwei Regressoren zum allgemeinen Fall von p Regressoren er­ weitert. Anschliessend an diese Grundlagen betrachten wir verschiedene Formen der nichtlinearen Regression, sowie die Spezialfälle der periodischen Regression und der Regression mit Anteilen und Anzahlen.

This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics.

In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis.

This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations.