Methods and Techniques of Mathematical Physics
Extraits
Non classé
Methods and Techniques of Mathematical Physics
Selected topical problems of mathematical physics are being dealt with by emphasizing methodical aspects. For this reason also questions regarding mathematical model building are being discussed. The book contains the papers presented at the Conference in Oberwolfach organized by Prof. Dr. B. Brosowski and Prof. Dr. E. Martensen. The contributors are the following renowned mathematicians and physicists : Rainer Kress, Peter Jochum, Miloslav Feistauer, Eberhard Halter, Jürgen Scheurle, R.E. Kleinmann/G.F. Roach, Hermann Sohr, Horst Lange, Erik B. Hansen, Rainer Colgen, Johann Baumeister, Zdenek Vlasek, Ulrich Elsaesser, Zdzislaw Domanski, and R. Rautmann.
12/1981
Non classé
Approximation and Optimization in Mathematical Physics
This volume contains the papers on approximation and optimization in mathematical physics presented to the 10th Conference on "Methoden und Verfahren der Mathematischen Physik", held on February 21-27, 1982 at the "Mathematisches Forschungsinstitut Oberwolfach".
12/1983
Non classé
Optimization in Mathematical Physics
This volume contains the papers on optimization presented to the 11th conference on "Methods and Techniques of Mathematical Physics", held on December 1-7, 1985 at the Mathematisches Forschungsinstitut Oberwolfach.
12/1987
Non classé
Mathematical Methods of Plasmaphysics
At the Conference in Oberwolfach organized by Prof. R. Kress and Prof. J. Wick questions on mathematical methods of plasmaphysics were being dealt with. This book contains the papers presented at this Conference by the following mathematicians and physicists : Klaus Elsässer, K. Graf Finck von Finckenstein, R.J. Gribben, E.J. Parkes, R. Keil, K. Knorr/M. Mond, S. Kuhn, H. Schamel, G. Spindler, B. Steffen, P. Vachenauer, J. Vogel, H.U. Schmidt/ R. Wegmann, J. Denavit, H. Neunzert/J. Wick, and Sh. Kaniel.
12/1980
Non classé
Dynamical Problems in Mathematical Physics
This volume contains the papers on dynamical problems im mathematical physics presented to the 10th Conference on "Methoden und Verfahren der Mathematischen Physik", held on February 21-27, 1982 at the "Mathematisches Forschungsinstitut Oberwolfach".
12/1983
Non classé
Problems of Applied Analysis
This volume contains the papers on problems of applied analysis presented to the 11th conference on "Methods and Techniques of Mathematical Physics", held on December 1-7, 1985 at the Mathematisches Forschungsinstitut Oberwolfach.
12/1987
Histoire internationale
Direct and Inverse Boundary Value Problems
This volume contains papers presented to the 12th conference on "Methods and Techniques of Mathematical Physics" held on November 26 - December 2, 1989 at the Mathematisches Forschungsinstitut Oberwolfach.The papers mainly focus at direct and inverse boundary value problems arising in classical scattering theory, fluid mechanics, magnetohydrodynamics, and potential theory and they aim at interchanging mathematical tools and ideas among mathematicians, physicists, and engineers.
06/1991
Histoire et Philosophiesophie
Concepts of Mass in Contemporary Physics and Philosophy
The concept of mass is one of the most fundamental notions in physics, comparable in importance only to those of space and time. But in contrast to the latter, which are the subject of innumerable physical and philosophical studies, the concept of mass has been but rarely investigated. Here Max Jammer, a leading philosopher and historian of physics, provides a concise but comprehensive, coherent, and self-contained study of the concept of mass as it is defined, interpreted, and applied in contemporary physics and as it is critically examined in the modern philosophy of science. With its focus on theories proposed after the mid-1950s, the book is the first of its kind, covering the most recent experimental and theoretical investigations into the nature of mass and its role in modern physics, from the realm of elementary particles to the cosmology of galaxies.
The book begins with an analysis of the persistent difficulties of defining inertial mass in a noncircular manner and discusses the related question of whether mass is an observational or a theoretical concept. It then studies the notion of mass in special relativity and the delicate problem of whether the relativistic rest mass is the only legitimate notion of mass and whether it is identical with the classical (Newtonian) mass. This is followed by a critical analysis of the different derivations of the famous mass-energy relationship E = mc2 and its conflicting interpretations. Jammer then devotes a chapter to the distinction between inertial and gravitational mass and to the various versions of the so-called equivalence principle with which Newton initiated his Principia but which also became the starting point of Einstein's general relativity, which supersedes Newtonian physics. The book concludes with a presentation of recently proposed global and local dynamical theories of the origin and nature of mass.
Destined to become a much-consulted reference for philosophers and physicists, this book is also written for the nonprofessional general reader interested in the foundations of physics.
01/2000
Non classé
Modern Mathematical Methods in Diffraction Theory and its Applications in Engineering
In 1896 A. Sommerfeld published his famous paper "Zur Theorie der Diffraktion" in vol. 47 of the "Mathematische Annalen". His investigations initiated the study of boundary value problems in scattering theory. A long series of research works on general mixed boundary value problems sprang up then. Boundary integral equations together with the Wiener-Hopf method have been generalized and are now a basis for analytical and numerical studies by many mathematicians and engineers working on wave diffraction problems. Commemorating the centenary of Sommerfeld's paper, the aim of this conference is to join the experts and young researchers to present surveys and new results.
07/1997
Non classé
Mathematical Problems in the Kinetic Theory of Gases
The kinetic theory of gases is a most fruitful field for mathematical research. This is evident from the multiplicity of mathematical methods used, the originality of the questions posed and the large number of hitherto unsolved fundamental problems. For example, the question of existence and uniqueness of solutions of various non-linear kinetic equations is still a wide open one. Simplified model equations and various approximations therefore assume considerable significance for the understanding of problem structure and for the solution of practical problems.
12/1980
Physique, chimie
FIVE LECTURES ON SUPERSYMMETRY
Since physicists introduced supersymmetry in the mid 1970s, there have been great advances in the understanding of supersymmetric quantum field theories and string theories. These advances have had important mathematical consequences as well.
The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas.
The first half of the book offers expository introductions to superalgebras, supermanifolds, classical field theory, free quantum theories, and super Poincaré groups. The second half covers specific models and describes some of their geometric features. The over-all aim is to explain the classical supersymmetric field that are basic for applications in quantum mechanics and quantum field theory, thereby providing readers with sufficient background to explore the quantum ideas.
12/1999
Physique, chimie
Synthesis of Inorganic Materials
The preparation process of inorganic materials is one of the most important aspects of material science. Not only the chemical composition of a particular material plays a crucial role for many applications but also its structure. The proper choice of the chemical precursors and the preparation technique to obtain a material with the desired chemical and physical properties is a challenge for both material scientists and inorganic chemists. This is the first book to give a comprehensive overview of the current methods for chemical synthesis of inorganic materials. The spectrum ranges from solid state reactions, CVD, reactions of aqueous systems, preparation and modification of inorganic polymers to the synthesis of tailored porous materials. With examples of selected technically applied materials for each method the general principles and requirements as well as the material properties and application of the resulting products are discussed. Numerous tables with further examples help to assess the scope and limitation of the various methods and to choose a suitable synthesis for a given problem. First and foremost directed to students in chemistry, material sciences and physics this book will also bc appreciated by advanced scientists in these fields as a valuable reference book for inorganic synthesis.
01/2000
Non classé
Mathematical Methods in Fluid Mechanics- Mathematische Methoden der Strömungsmechanik
Representation of analytical and numerical methods for the treatment of special fluid mechanical problems. Further, some contributions to the foundations of the Navier-Stokes-equations and some important experimental results. Vorwiegend analytische und numerische Verfahren zur Behandlung von speziellen strömungsmechanischen Problemen, aber auch Beiträge zu Grundlagenfragen der Navier-Stokes-Gleichungen und einige wichtige experimentelle Resultate.
12/1982
Mathématiques
HYPERBOLIC GEOMETRY
The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, taking the approach that hyperbolic geometry consists of the study of those quantities invariant under the action of a natural group of transformations.
Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications.
The style and level of the book, which assumes few mathematical prerequisites, make it an ideal introduction to this subject and provide the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics.
The Springer Undergraduate Mathematics Series (SUMS) is a new series for undergraduates in the mathematical sciences. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully-worked solutions.
11/1999
Architecture
Of Sand and Stones
A partir d'extraits de textes de Gaston BACHELARD, Reyner BANHAM, Laurence COSSE, Gilles DELEUZE & Félix GUATTARI, Marguerite DURAS, Jean-ClaudeGALL, André GIDE, André GUILLERME, Jean-Yves JOUANNAIS, Maylis de KERANGAL, Pierre REVERDY, Marie RICHEUX, Robert SMITHSON, VITRUVE, Emile WITH et Marguerite YOURCENAR, de dessins et de photographies de Julien HOURCADE Of Sand and Stones raconte la construction d'un programme à usage mixte (cinéma, centre culturel, centre communautaire avec théâtre boîte noire, 342 logements, commerces et jardin), construit avec un système de façade porteuse préfabriquée aux couleurs naturelles dans le quartier de Clichy-Batignolles à Paris entre 2013 et 2018.
06/2021
Physique, chimie
Neutron Physics
Originally just an offshoot of nuclear physics, neutron physics soon became a branch of physics in its own right. It deals with the movement of neutrons in nuclear reactors and all the nuclear reactions they trigger there, particularly the fission of heavy nuclei which starts a chain reaction to produce energy. Neutron Physics covers the whole range of knowledge of this complex science, discussing the basics of neutron physics and some principles of neutron physics calculations. Because neutron physics is the essential part of reactor physics, it is the main subject taught to students of Nuclear Engineering. This book takes an instructional approach for that purpose. Neutron Physics is also intended for all physicists and engineers involved in development or operational aspects of nuclear power.
09/2008
Sciences de la terre et de la
Theoretical Astrophysics. Volume 1, Astrophysical Processes
Graduate students and researchers in astrophysics and cosmology need a solid understanding of a wide range of physical processes. This clear and authoritative textbook has been designed to help them to develop the necessary toolkit of theory. Assuming only an undergraduate background in physics and no detailed knowledge of astronomy, this book guides the reader step by step through a comprehensive collection of fundamental theoretical topics. The book is modular in design, allowing the reader to pick and chose a selection of chapters, if necessary. It can be used alone, or in conjunction with the forthcoming accompanying two volumes (covering stars and stellar systems, and galaxies and cosmology, respectively). After reviewing the basics of dynamics, electromagnetic theory, and statistical physics, the book carefully develops a solid understanding of all the key concepts such as radiative processes, spectra, fluid mechanics, plasma physics and MHD, dynamics of gravitating systems, general relativity, and nuclear physics. Each topic is developed methodically from undergraduate basic physics. Throughout, the reader's understanding is developed and tested with carefully structured problems and helpful hints. This welcome volume provides graduate students with an indispensable introduction to and reference on all the physical processes they will need to successfully tackle cutting-edge research in astrophysics and cosmology.
01/2000
Histoire et Philosophiesophie
FEARFUL SYMMETRY. The Search for Beauty in Modern Physics
Fearful Symmetry brings the incredible discoveries of contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics-one of the greatest chapters in the intellectual history of humankind.
"Fearful Symmetry tells the story of modem physics and contemporary physicists in a most understandable and vivid way. It makes the 'fearful' symmetry simple and accessible, and the burning tigers lively and human. An excellent rendition and an outstanding achievement."
-T. D. Lee, Nobel Laureate in Physics
"To a layman like myself, totally unversed in modern theoretical physics, Zee's book comes as an illumination. Once having grasped the idea of symmetry as an aesthetic and intellectual principle, I found myself, under his guidance, contemplating aspects, of the design of the universe of which I never had the faintest glimmer."
-John Rupert Martin, Marquand Professor of Art and Archaeology, Princeton University
"A small gem we can see deeply into with small effort and great pleasure."
-Robert Schrieffer, Nobel Laureate in Physics
01/1999
Histoire et Philosophiesophie
CONSTRUCTING QUARKS. A Sociological History of Particle Physics
Widely regarded as a classic in its field, Constructing Quarks recounts the history of the post-war development of elementary particle physics. Inviting a reappraisal of the status of scientific knowledge, Andrew Pickering suggests that scientists are not passive observers; and reporters of nature. Rather, they are active producers of the world through a social symbiosis of experimental and theoretical practice.
"Constructing Quarks chronicles what many have begun to regard as a major revolution in 20th century science-the discovery of quarks and gauge field theories of strong, electromagnetic and weak interactions. A prodigious piece of scholarship that I can heartily recommend."
-Michael Riordan, New Scientist
"An admirable history.... Because his account is so detailed and so accurate, and because it makes clear why the physicists did what they did, it is eminently suited to be required reading for all young physicists entering or contemplating entering the practice of elementary-particle physics."
-Hugh N. Pendleton, Physics Today
"A very detailed description of a remarkable enterprise."
-John Polkinghorne, Times Higher Education Supplement
01/1984
Histoire et Philosophiesophie
Thinking about Physics
Physical scientists are problem solvers. They are comfortable "doing" science: they find problems, solve them, and explain their solutions. Roger Newton believes that his fellow physicists might be too comfortable with their roles as solvers of problems. He argues that physicists should spend more time thinking about physics. If they did, he believes, they would become even more skilled at solving problems and "doing" science. As Newton points out in this thought-provoking book, problem solving is always influenced by the theoretical assumptions of the problem solver. Too often, though, he believes, physicists haven't subjected their assumptions to thorough scrutiny. Newton's goal is to provide a framework within which the fundamental theories of modem physics can be explored, interpreted, and understood.
"Surely physics is more than a collection of experimental results, assembled to satisfy the curiosity of appreciative experts," Newton writes. Physics, according to Newton, has moved beyond the describing and naming of curious phenomena, which is the goal of some other branches of science. Physicists have spent a great part of the twentieth century searching for explanations of experimental findings. Newton agrees that experimental facts are vital to the study of physics, but only because they lead to the development of a theory that can explain them. Facts, he argues, should undergird theory.
Newton's explanatory sweep is both broad and deep. He covers such topics as quantum mechanics, classical mechanics, field theory, thermodynamics, the role of mathematics in physics, and the concepts of probability and causality. For Newton the fundamental entity in quantum theory is the field, from which physicists can explain the particle-like and wave-like properties that are observed in experiments. He grounds his explanations in the quantum field.
Although this is not designed as a standalone textbook, it is essential reading for advanced undergraduate students, graduate students, professors, and researchers. This is a clear, concise, up-to-date book about the concepts and theories that underlie the study of contemporary physics. Readers will find that they will become better-informed physicists and, therefore, better thinkers and problem solvers, too.
01/2000
Religion
The Threat of Logical Mathematism
The present survey of the critique of mathematical logic in Germany at the turn of the 20th century attempts to answer several interesting questions : How did the contemporary German philosophers see the role and significance of logic ? What kind of relationships did they claim to exist between logic, mathematics, linguistics and psychology ? Pulkkinen starts by giving a historical survey of the development of German logic 1830-1920 as it appears against the background of German academic philosophy. Next he studies the interrelationships between logic and psychology, logic and linguistics, and logic and mathematics. After this the author presents the general features of the reception of mathematical logic in Germany between 1880 and 1920. This is followed by a more detailed account of the arguments of three individual critics : Fritz Mauthner, Heinrich Rickert, and Theodor Ziehen.
07/1994
Non classé
Nietzsche and the End of Freedom
Nietzsche's writing is not some game of 'freeplay' and terms like 'intertextuality' are useless in discussing its influence. This study takes Nietzsche, then Kafka's Trial, Thomas Mann's Death in Venice, Heinrich Mann's Man of Straw, Rilke's Malte Laurids Brigge and Musil's Törless. It argues that Nietzsche mediates and modernises the dilemmas of Romanticism and that a properly differentiated account of his literary reception can illuminate the dynamics of German culture on the eve of the Great War.
07/1993
Mathématiques
Intersection Theory. 2nd edition
1996 Steele Prize Winner for Mathematical Exposition
" Intersection Theory... introduced a new order into a field that had been in disarray, by introducing a new and simpler approach that gave all the old results and more. Moreover it gave clarifying expositions of many classical computations in intersection theory, often reducing lengthy old arguments to a few lucid paragraphs. By its very clear exposition and the high quality of its content, this book has had an enormous impact on the field. "
- Citation for the Steele Prize for Mathematical Exposition August 1996
12/1998
Non classé
Has Bertrand Russell Solved the Problem of Perception?
The guiding spirit of the philosophical engagement of Bertrand Russell was to outline a scientific philosophy with the intention of introducing progress and continuity in the subject. With this aim in view, he developed the analytic method which has inspired one of the most influential philosophical currents of this century. Russell's confidence was confirmed by the result of his analysis of perception and physics. This book examines three different theories that Russell used in an effort to provide a lasting solution to the problem of perception and its relation with the external world. Despite the merits of Russell's attempts, the author is convinced that Russell failed to achieve his aim, but that his failure points the way to a better understanding of the nature and purpose of philosophy.
05/1994
Monographies
FERRANDI Paris : Fruits and Nuts. Recipes and Techniques from the Ferrandi School of Culinary Arts
100 years of technical and gourmet savoir faire from an exceptional culinary school in paris. Discover the essential kitchen skills for cooking with fruits and nuts-how to peel pineapples, blanch almonds, segment citrus fruit, prepare a fruit crown, make quince jelly-through 40 culinary techniques that are explained in more than 150 step-by-step illustrated instructions. Prepare more than 75 recipes-Kumquat Cake, Black Forest Gâteau, King Crab with Pomelos, Watermelon Granita, Raisin Swirls, Poached Oysters with Pomegranate-including both sweet and savory dishes that range from simple to sophisticated to unforgettable. With more than 375 photographs, this book includes everything you need to know for preparing and cooking with fruits and nuts from a world-class culinary institution.
10/2021
Histoire et Philosophiesophie
Number from Ahmes to Cantor
We might take numbers and counting for granted, but we shouldn't. Our number literacy rests upon centuries of human effort, punctuated here and there by strokes of genius. In his successor and companion volume to Gnomon: From Pharaohs to Fractals, Midhat Gazalé takes us on a Journey from the ancient worlds of the Egyptians, the Mesopotamians, the Mayas, the Greeks, the Hindus, up to the Arab invasion of Europe and the Renaissance. Our guide introduces us to some of the most fascinating and ingenious characters in mathematical history, from Ahmes the Egyptian scribe (whose efforts helped preserve some of the mathematical secrets of the architects of the pyramids) through the modern era of Georg Cantor (the great nineteenth-century inventor of transfinite numbers). As he deftly blends together history, mathematics, and even some computer science in his characteristically compelling style, we discover the fundamental notions underlying the acquisition and recording of "number", and what "number" truly means.
Gazalé tackles questions that will stimulate math enthusiasts in a highly accessible and inviting manner. What is a natural number? Are the decimal and binary systems the only legitimate ones? Did the Pythagorean theorem and the discovery of the unspeakable irrationals cost the unfortunate mathematician Hippasus his life? What was the Ladder of Theodorus of Cyrene and how did the ancient Greeks calculate square roots with such extraordinary proficiency? An original generalization of Euler's theorem is offered that explains the pattern of rational number representations. Later on, the field of Continued Fractions paves the way for another original contribution by Gazalé, that of cleavages, which sheds light on the mysterious nature of irrational numbers as it beautifully illustrates Dedekind's famous Schnitt. In the end the author introduces us to the Hilbert Hotel with its infinite number of rooms, guests, and an infinite number of people waiting to check in, where he sets the debate between Aristotle and Cantor about the true nature of infinity.
This abundantly illustrated book, remarkable for its coherency and simplicity, will fascinate all those who have an interest in the world of numbers. Number will be indispensable for all those who enjoy mathematical recreations and puzzles, and for those who delight in numeracy.
01/2000
Non classé
Multicriteria Decision
This volume contains papers presented to the 14th meeting of the German Working Group "Multicriteria Decision" held on September 22-27, 1991 in Riezlern, Austria at the guesthouse of the Johann Wolfgang Goethe-University Frankfurt/Main. The papers mainly focus at applications in structural optimization problems in engineering and other fields, presentation of software packages and decision systems, and theory of vector optimization and approximation and they aim at interchanging mathematical tools and ideas among mathematicians and engineers.
02/1993
Mathématiques
SETS AND PROOFS
Together, Sets and Proofs and its sister volume Models and Computability will provide readers with a comprehensive guide to the current state of mathematical logic. All the authors are leaders in their fields and are drawn from the invited at 'Logic Colloquim '97' (the major international meeting of the Association of Symbolic Logic). It is expected that the breadth and timeliness of these two volumes will prove an invaluable and unique resource for specialists, post-graduate researchers, and the informed and interested nonspecialist.
01/1999
Histoire et Philosophiesophie
PIONEERS OF REPRESENTATION THEORY: FROBENIUS, BURNSIDE, SCHUR, AND BRAUER
The year 1897 was marked by two important mathematical events: the publication of the first paper on representations of finite groups by Ferdinand Georg Frobenius ( 1849-1917) and the appearance of the first treatise in English on the theory of finite groups by William Burnside (1852-1927). Burnside soon developed his own approach to representations of finite groups. In the next few years, working independently, Frobenius and Burnside explored the new subject and its applications to finite group theory.
They were soon joined in this enterprise by Issai Schur (1875-194 1) and some years later, by Richard Brauer (1901-1977). These mathematicians' pioneering research is the subject of this book. It presents an account of the early history of representation theory through an analysis of the published work of the principals and others with whom the principals' work was interwoven. Also included are biographical sketches and enough mathematics to enable readers to follow the development of the subject. An introductory chapter contains some of the results involving characters of finite abelian groups by Lagrange, Gauss, and Dirichlet, which were part of the mathematical tradition from which Frobenius drew his inspiration.
This book presents the early history of an active branch of mathematics. It includes enough detail to enable readers to learn the mathematics along with the history. The volume would be a suitable text for a course on representations of finite groups, particularly one emphasizing an historical point of view.
01/1999
Cuisine des chefs
French Boulangerie. Recipes and techniques from the Ferrandi School of culinary arts
This complete baking course provides FERRANDI Paris's expertise for preparing delicious breads and viennoiserie-French baked goods traditionally enjoyed for breakfast, including the iconic croissant. This book is the perfect complement to FERRANDI Paris's best-selling French Pâtisserie, which covers baked desserts. Aspiring and confirmed bakers will : Acquire essential kitchen skills for more than 40 culinary techniques, explained in 220 step-by-step photographs, to make homemade poolish ; refresh levain ; knead, shape, and score loaves ; laminate butter ; prepare puff pastry ; or braid brioche dough. Prepare more than 80 sweet and savory recipes for breakfasts and snacks, including French classics and modern creations : brioche, cruffins, babka, kouign-amann, beignets, kougelhopf, baguettes, country bread, grissini, pastrami bagels, croque-monsieurs, and more.
11/2023
