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Fredholm and Local Spectral Theory II: With Application to Weyl-type Theorems (Lecture Notes in Mathematics #2235)
by Pietro AienaThis monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold. The product of intensive research carried out over the last ten years, this book explores for the first time in a monograph form, results that were only previously available in journal papers. Written in a simple style, with sections and chapters following an easy, natural flow, it will be an invaluable resource for researchers in Operator Theory and Functional Analysis. The reader is assumed to be familiar with the basic notions of linear algebra, functional analysis and complex analysis.
Free and Moving Boundaries: Analysis, Simulation and Control (Lecture Notes in Pure and Applied Mathematics)
by Roland Glowinski Jean-Paul ZolésioAddressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of mo
Free Boundary Problems: Regularity Properties Near the Fixed Boundary (Lecture Notes in Mathematics #2218)
by Darya ApushkinskayaThis book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary.The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas.The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.
Free Boundary Problems: Theory and Applications
by Ioannis AthanasopoulosFree boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete.The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models.With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.
Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
by Kelei WangThis thesis is devoted to the study of the asymptotic behavior of singularly perturbed partial differential equations and some related free boundary problems arising from these two problems. We study the free boundary problems in the singulary limit and give some characterizations, and use this to study the dynamical behavior of competing species when the competition is strong. These results have many applications in physics and biology.
Free Boundary Problems in Fluid Dynamics (Oberwolfach Seminars #54)
by Daniel Tataru Thomas Alazard Albert Ai Mihaela IfrimThis book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Euler’s equations in general. A particular set of such problems is given by gaseous stars considered in a vacuum (modeled via the compressible Euler equations) as well as water waves in their full generality (seen as recasts of incompressible irrotational Euler equations). This is a broad research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade.
Free Boundary Problems in PDEs and Particle Systems
by Gioia Carinci Anna De Masi Cristian Giardinà Errico PresuttiIn this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed. In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases. All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms. In general researchers interested in the relations between PDE's and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics.
Free Convection Film Flows and Heat Transfer
by De-Yi ShangThis book presents recent developments in our systematic studies of hydrodynamics and heat and mass transfer in laminar free convection, accelerating film boiling and condensation of Newtonian fluids, as well as accelerating film flow of non-Newtonian power-law fluids (FFNF). These new developments provided in this book are (i) novel system of analysis models based on the developed New Similarity Analysis Method; (ii) a system of advanced methods for treatment of gas temperature- dependent physical properties, and liquid temperature- dependent physical properties; (iii) the organically combined models of the governing mathematical models with those on treatment model of variable physical properties; (iv) rigorous approach of overcoming a challenge on accurate solution of three-point boundary value problem related to two-phase film boiling and condensation; and (v) A pseudo-similarity method of dealing with thermal boundary layer of FFNF for greatly simplifies the heat-transfer analysis and numerical calculation. A system of practical application equations on heat and mass transfer are provided in each chapter, which are formulated based on the rigorous numerical solutions with consideration of variable physical properties. In addition, in the second edition, other new research developments are further included on resolving an even big challenge associated with investigations of laminar free film condensation of vapour-gas mixture. They involve the novel methods for treatment of concentration- and temperature- dependent physical properties of vapour-gas mixture, and for rigorous solution of interfacial vapour saturation temperature, which have lead to rigorous analysis and calculation results on two-phase film flow velocity, temperature, and concentration fields, as well as condensate heat and mass transfer.
Free Probability and Random Matrices
by James A. Mingo Roland SpeicherThis volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory. The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics.
Free Resolutions in Commutative Algebra and Algebraic Geometry
by David Eisenbud Craig HunekeThe selected contributions in this volume originated at the Sundance conference, which was devoted to discussions of current work in the area of free resolutions. The papers include new research, not otherwise published, and expositions that develop current problems likely to influence future developments in the field.
Free Will & Action: Historical and Contemporary Perspectives (Historical-Analytical Studies on Nature, Mind and Action #6)
by Filip Grgić Davor PećnjakThis book consists of eleven new essays that provide new insights into classical and contemporary issues surrounding free will and human agency. They investigate topics such as the nature of practical knowledge and its role in intentional action; mental content and explanations of action; recent arguments for libertarianism; the situationist challenge to free will; freedom and a theory of narrative configuration; the moral responsibility of the psychopath; and free will and the indeterminism of quantum mechanics. Also tackling some historical precursors of contemporary debates, taken together these essays demonstrate the need for an approach that recognizes the multifaceted nature of free will. This book provides essential reading for anyone interested in the current scholarship on free will.
The Freedom Bible: An A-to-Z Guide to Exercising Your Individual Rights, Protecting Your Privacy, Liberating Yourself from Corporate and Government Overreach
by Ted AdamsLearn How to Protect Your Family&’s Freedom!Freedom is the foundation on which America was born and continues to thrive. If you believe in the strength of freedom as more than an ideal, you can find smart ways to exercise it in all parts of your life! The Freedom Bible is your A-to-Z guide to knowing your individual rights and seeking more control and freedom through the decisions you face every day.Own healthcare decisions for you and your familyMake choices that direct your dollars where you want—for example, made in America, not overseasKnow your options to challenge governing boards—from home ownership associations to school boardsReduce your reliance on &“the grid&”Escape the invasiveness of all kinds of technologyGuard your privacy and free speech on social mediaAnd much more!Get freedom from…· Big Government· Big Tech· Dependence on Overseas Goods· Employer &“Requirements&”· HOAs· Social media jail· Spam callers· Taxes· And More!
Freedom in Mathematics
by Pierre Cartier Jean Dhombres Gerhard Heinzmann Cédric VillaniThis book challengesthe views put forward by Pierre Cartier, one of the anchors of the famousBourbaki group, and Cédric Villani, one of the most brilliant mathematicians ofhis generation, who received the Fields Medal in 2010. Jean Dhombres, mathematicianand science historian, and Gerhard Heinzmann, philosopher of science and also aspecialist in mathematics engage in a fruitful dialogue with the twomathematicians, prompting readers to reflect on mathematical activity and itssocial consequences in history as well as in the modern world. Cédric Villani'spopular success proves once again that a common awareness has developed, albeitin a very confused way, of the major role of mathematics in the constructionand efficiency of natural sciences, which are at the origin of ourtechnologies. Despite this, the idea that mathematics cannot be shared remains firmlyentrenched, a perceived failing that has even been branded a lack of culture byvocal forces in the media as well as cultural and political establishment. The authors explore three majordirections in their dialogue: the highly complex relationship betweenmathematics and reality, the subject of many debates and opposing viewpoints; thefreedom that the construction of mathematics has given humankind by enabling themto develop the natural sciences as well as mathematical research; and the responsibilitywith which the scientific community and governments should address the role ofmathematics in research and education policies.
Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)
by Donald GilliesFirst published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.
Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion
by Xingjian Jing Ziqiang LangThis book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i. e. , alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.
Freude an Geometrie – Zum Gedenken an Hans Schupp: Vorträge auf der 36. Herbsttagung des Arbeitskreises Geometrie in der Gesellschaft für Didaktik der Mathematik vom 10. bis 12. September 2021 in Saarbrücken
by Andreas Filler Anselm Lambert Marie-Christine von der BankHans Schupp verstarb im Mai 2021 im Alter von 86 Jahren. Neben seinen weitreichenden Beiträgen zur Didaktik der Stochastik war er auch in der Geometrie substantiell breit aufgestellt und hat zahlreiche, didaktisch begründete, konstruktive Vorschläge zur Re-Geometrisierung des Mathematikunterrichts publiziert. In diesem Feld gibt es in der schulischen Praxis aber leider weiterhin Defizite und großen Nachholbedarf. Dies war Grund genug, um uns auf unserer Tagung mit dem Erbe von Hans Schupp und – darauf aufbauend – mit der Weiterentwicklung des Geometrieunterrichts zu beschäftigen. Dieser Tagungsband enthält daher zwölf Beitrage zu Themen des Geometrieunterrichts, die an Ideen und Arbeiten von Hans Schupp anknüpfen.
The Friction of Life: An investigation on Renato Caccioppoli's life
by Lorenza FoschiniNaples, May 8, 1959. Renato Caccioppoli, a mathematical genius, prodigious pianist, captivating storyteller, highly cultured and multilingual, believed to be the grandson of the anarchist movement founder Mikhail Bakunin, takes his own life by shooting himself in the back of the head in his residence at Palazzo Cellammare.Adored by students and colleagues, a symbol of freedom and non-conformity for an entire generation, Caccioppoli enchanted not only some of the most celebrated intellectuals of the century – André Gide, Pablo Neruda, Eduardo De Filippo, Benedetto Croce, Alberto Moravia, Elsa Morante – but also, and above all, the people of Naples, who have always regarded him with amazed admiration. Persecuted by the fascist regime, afflicted by what the writer and friend Paola Masino would describe as "the friction of life," his death permanently places him in the city's history.This meticulous and well-documented investigation tells us who Caccioppoli truly was and offers us an un-stereotyped and, in some ways, unprecedented portrayal of a legendary Naples.
Friedrich Waismann: The Open Texture of Analytic Philosophy (History of Analytic Philosophy)
by Dejan Makovec Stewart ShapiroThis edited collection covers Friedrich Waismann's most influential contributions to twentieth-century philosophy of language: his concepts of open texture and language strata, his early criticism of verificationism and the analytic-synthetic distinction, as well as their significance for experimental and legal philosophy. In addition, Waismann's original papers in ethics, metaphysics, epistemology and the philosophy of mathematics are here evaluated. They introduce Waismann's theory of action along with his groundbreaking work on fiction, proper names and Kafka's Trial. Waismann is known as the voice of Ludwig Wittgenstein in the Vienna Circle. At the same time we find in his works a determined critic of logical positivism and ordinary language philosophy, who anticipated much later developments in the analytic tradition and devised his very own vision for its future.
Friend of Numbers: The Life of Mathematician Srinivasa Ramanujan (Incredible Lives for Young Readers)
by Priya NarayananA memorable, inspiring introduction to a groundbreaking figure in STEM history.Growing up in southern India during British rule, Srinivasa Ramanujan was fascinated by numbers: they made patterns only he could see. Soon he spent as much time as he could in the world of mathematics, exploring concepts and trying to publish his ideas. In 1914, twenty-six-year-old Ramanujan sailed to England to work with the acclaimed mathematician G.H. Hardy. Cambridge University was so different from home, but Ramanujan&’s love of numbers kept him going. He had big questions to ask—and important discoveries to make!This captivating biography follows the short but brilliant life of a man recognized as a genius in his time and our own. With bright, occasionally amusing art and compelling back matter, Friend of Numbers is an unforgettable portrait of one of history&’s most incredible mathematical minds.
Fringe Benefits, Labour Costs and Social Security (Routledge Revivals)
by G. L. Reid D. J. RobertsonOriginally published in 1965, this book is concerned with an important yet neglected part of economic life ‘fringe benefits’ which employers provide for and on behalf of their employees apart from wages and salaries. The book sets out results of an inquiry into the costs of supplementary labour costs for manual workers, with an account of the various influences which help to explain differences in expenditure by different firms. The book then gives comparative figures for Western European countries and considers some of the economic effects of the European levels of supplementary labour costs. The situation in the USA is discussed, as is the relationship of employer-financed welfare schemes and State social security programmes. Chapters on pensions, sick pay and redundancy payments are included as well as those dealing with the history of paid holidays and subsidized welfare facilities such as canteens.
Frogs, Fleas and Painted Cube s: Quadratic Relationships (Texas)
by Glenda Lappan James T. Fey William M. Fitzgerald Susan N. Friel Elizabeth Difanis PhillipsNIMAC-sourced textbook
Frogs, Fleas, and Painted Cubes, Quadratic Relationships
by Glenda Lappan James T. Fey William M. FitzgeraldNIMAC-sourced textbook
From Action Systems to Distributed Systems: The Refinement Approach
by Luigia Petre Emil SekerinskiFormal methods traditionally address the question of transforming software engineering into a mature engineering discipline. This essentially refers to trusting that the software-intensive systems that form our society's infrastructures are behaving according to their specifications. More recently, formal methods are also used to understand propert
From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 (Springer Proceedings in Mathematics & Statistics #313)
by Richard P. Brent David H. Bailey Regina S. Burachik Naomi Simone Borwein Judy-anne Heather Osborn Brailey Sims Qiji J. ZhuStudents and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.
From Animals to Animats 15: 15th International Conference on Simulation of Adaptive Behavior, SAB 2018, Frankfurt/Main, Germany, August 14-17, 2018, Proceedings (Lecture Notes in Computer Science #10994)
by Poramate Manoonpong Jørgen Christian Larsen Xiaofeng Xiong John Hallam Jochen TrieschThis book constitutes the refereed proceedings of the 15th International Conference on Simulation of Adaptive Behavior, SAB 2018, held in Frankfurt/Main, Germany, in August 2018.The 21 papers presented were carefully reviewed and selected from 39 submissions. They cover the main areas in animat research, including the animat approach and methodology, perception and motor control, action selection and navigation, learning and adaptation, and collective and social behavior.