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This book addresses the obesity epidemic from a political, economic and social perspective. While it does examine the behavioral risks associated with rising obesity rates, it also explores the political level, by evaluating theories in social justice and the political economy that foster or restrict at-risk behaviors.

The common roots of success and failure in economic growth and development lie in the systemic governance and fragmentation of institutional complementarities, respectively, but not in the unilateral adaptation of market-led or state-led models.

Applying the principles of Optimal Control Theory to the problem of regional allocation of investment can be a useful tool for demonstrating how the trade-off between regional equity and overall efficiency can be overcome.

The demand for return in investment (ROI) analyses in public health is on the rise as a 'business case' needs to be presented before a public health programme can be funded.

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.

This volume provides an integrated account of our current understanding of the functions of D-type cyclins during development and tumorigenesis, with special emphasis on the kinase-independent functions of these proteins.

This monograph investigates the stability and performance of control systems subject to actuator saturation. The authors apply these treatments to the estimation of the domain of attraction and the finite-gain L2 performance by using the quadratic Lyapunov function and the composite quadratic Lyapunov function.

This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d¿Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzanös objections to Kant¿s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17th Centuries. The remaining papers deal with the history of mathematics and cover such subjects as Early schemes for polar ordinates in the work of L¿Hôpital, based on lessons given to him by BernoulliA method devised by Euler for determining if a number is a sum of two squaresPlayfair¿s Axiom and what it reveals about the history of 19th-Century mathematics educationThe modern library classification system for mathematical subjectsAn exploration of various examples of sundials throughout ParisWritten by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous area;

This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the ¿research project for beginners¿ proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area.The book is organized in five parts:In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation.Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models.Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results.Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.

This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading.The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.

This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015.

This book discusses the aspects of haploidentical transplants and will shed light on the debates and questions on this burgeoning field and timely topic.

This book opens up a critical dimension to the interdisciplinary field of Industrial Ecology (IE) and one of its four areas - Industrial Symbiosis (IS). Transforming industrial systems into closed-loop industrial ecosystems dramatically reduces the negative impact of industrial activities on the environment.

Lu provides a compelling narrative about the connection between inclusive political systems and open access economies, hypothesizing that entry into banking was firstly made upon partisan grounds before later becoming open access/free entry.

This book tells the story of Terania Creek - the world's first direct action blockade in defence of a forest, occurring in Australia in 1979. Contrary to claims that the Australian counterculture was a mere imitation of overseas models, the Australian movement, coalescing with a home-grown environment movement, came of age at Terania Creek.

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matematica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year.The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are especially useful for describing many local deformation rings at p that arise naturally in Galois deformation theory.The notes by Gebhard Bockle offer a comprehensive course on Galois deformation theory, starting from the foundational results of Mazur and discussing in detail the theory of pseudo-representations and their deformations, local deformations at places l = p and local deformations at p which are flat. In the last section,the results of Bockle and Kisin on presentations of global deformation rings over local ones are discussed. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study of the images of the attached Galois representations, on modularity lifting theorems over totally real number fields, and on the cohomology of Hilbert modular varieties with integral coefficients. The notes by Lassina Dembele and John Voight describe methods for performing explicit computations in spaces of Hilbert modular forms. These methods depend on the Jacquet-Langlands correspondence and on computations in spaces of quaternionic modular forms, both for the case of definite and indefinite quaternion algebras. Several examples are given, and applications to modularity of Galois representations are discussed. The notes by Tim Dokchitser describe the proof, obtained by the author in a joint project with Vladimir Dokchitser, of the parity conjecture for elliptic curves over number fields under the assumption of finiteness of the Tate-Shafarevich group. The statement of the Birch and Swinnerton-Dyer conjecture is included, as well as a detailed study of local and global root numbers of elliptic curves and their classification.

Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multidimensional symmetry groups. However, the wealth of concrete and natural examples which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. The purpose of this book is to help remedy this scarcity of explicit examples by introducing a class of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which nevertheless lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups. One aspect of these actions, not surprising in itself but quite striking in its extent and depth nonetheless, is the connection with commutative algebra and arithmetical algebraic geometry. The algebraic framework resulting from this connection allows the construction of examples with a variety of specified dynamical properties, and by combining algebraic and dynamical tools one obtains a quite detailed understanding of this class of Zd-actions.

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.

The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.

The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Mobius and Lie as well as geometries where Lorentz transformations play the key role.Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. New to this third edition is a chapter dealing with a simple and great idea of Leibniz that allows us to characterize, for these same spaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical geometry, the geometries of Lorentz-Minkowski and de Sitter, and this through finite or infinite dimensions greater than 1. Another new and fundamental result in this edition concerns the representation of hyperbolic motions, their form and their transformations. Further we show that the geometry (P,G) of segments based on X is isomorphic to the hyperbolic geometry over X. Here P collects all x in X of norm less than one, G is defined to be the group of bijections of P transforming segments of P onto segments.The only prerequisites for reading this book are basic linear algebra and basic 2- and 3-dimensional real geometry. This implies that mathematicians who have not so far been especially interested in geometry could study and understand some of the great ideas of classical geometries in modern and general contexts.

In dem vorliegenden Buch sind Methoden zur Bestimmung von Standorten und Einzugsbereichen zentraler Einrichtungen zusammengefaßt, um den in der Planungspraxis tätigen Stadt-, Regional- und Landesplanern eine handbuchartige Zusammenstellung über Methoden für die Standort­ bestimmung zur Verfügung zu stellen. Es sollen darüber hinaus dem wissenschaftlich orientierten Planer Ansatzpunkte für weitere For­ schungsarbeiten gezeigt werden. Das Buch ist die überarbeitete Fas­ sung meiner Dissertation, die der Abteilung Raumplanung, Universität Dortmund, im Mai 1976 vorgelegt wurde. Es ist während einer mehrjähri­ gen Lehr- und Forschungstätigkeit an der Abteilung Raumplanung, Universität Dortmund, entstanden und durch Diskussionen mit Kollegen und Studenten begleitet worden. Ihnen sei an dieser Stelle gedankt. Mein Dank gilt insbesondere Herrn Professor Dr.-Ing. H. Schoof, Frau Professor Dr.rer.nat. Dr.rer.pol. W. Rödding, Herrn Professor Dr.rer. nat. V. Kreibich, alle Universität Dortmund, Herrn Professor Dr.rer. nat. G. Frank, Universität Hagen sowie meinen Kollegen am Fachgebiet Stadt- und Regionalplanung der Abteilung Raumplanung, Herrn Dr.-Ing. M. Hauschild, Herrn Dr.rer.pol. R. Hoberg, Herrn Dipl.-Ing. c. Reetz und Herrn Lic.rer.reg. Dipl.-Kfm. D. Schiebold. Dortmund, im September 1977 Lüder Bach I N H A L S T U B E R S I C H T Seite Einleitung Teil I: Standortbestimmung für zentrale Einrichtungen im Rah­ men sektoraler räumlicher Entwicklungsplanungen Systeme zentraler Einrichtungen als Gegenstand raum­ 1.

The authors of this book analyse these instruments - green taxes, tradeable permits, covenants, joint implementation, internationally tradeable quotas - from the point of view of costeffectiveness, their ability to achieve environmental goals, and public and corporate acceptability.

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis.

The main research theme explores how atomic agents that act locally and microscopically lead to discontinuous macroscopic changes. In turn, the book's second part is devoted to mathematical and computational methods applied to the pricing of financial contracts and the measurement of financial risks.