Mathematical Physics Frontiers

Mathematical Physics Frontiers
Author: Charles V. Benton
Publisher: Nova Science Pub Incorporated
Total Pages: 237
Release: 2004-01-01
Genre: Science
ISBN: 9781590339831

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Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

Mathematics: Frontiers and Perspectives

Mathematics: Frontiers and Perspectives
Author: Vladimir Igorevich Arnolʹd
Publisher: American Mathematical Soc.
Total Pages: 476
Release: 2000
Genre: Mathematics
ISBN: 9780821826973

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A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.

A Primer for a Secret Shortcut to PDEs of Mathematical Physics

A Primer for a Secret Shortcut to PDEs of Mathematical Physics
Author: Des McGhee
Publisher: Birkhäuser
Total Pages: 183
Release: 2020-10-20
Genre: Mathematics
ISBN: 9783030473327

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​This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach. The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.

Frontiers in Physics - 2017 & 2018 Editor's Choice

Frontiers in Physics - 2017 & 2018 Editor's Choice
Author: Thomas Beyer
Publisher: Frontiers Media SA
Total Pages: 190
Release: 2019-02-22
Genre:
ISBN: 2889458040

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Launched in 2013, Frontiers in Physics consists of 18 specialties covering all areas of research in physics. With over 500 published manuscripts, the journal is now indexed in SCIE with the first impact factor coming in 2019. Frontiers in Physics aims to become the largest and most cited open access multidisciplinary physics journal. This eBook collects what the Specialty Chief Editors of the journal believed were the most interesting manuscripts published over the past two years. It is a nice collection, which will offer the reader the chance to have a quick overview of the specialties of the journal and offer a glimpse into the state of the art of physics. We must confess that it has been quite challenging to select only one article per specialty section given the many important manuscripts published by the journal in 2017 and 2018. We invite our reader to have a look at the journal homepage and browse what we have published so far. It includes articles on topics very different from each other, written by both early career scientists and well-known researchers, ranging from the indisputable advance of the field to the more bold. We hope you enjoy reading our first edition of the Frontiers in Physics Editor's Choice eBook! Professor Alex Hansen (Field Chief Editor) and Dr Claudio Bogazzi (Journal Manager)

Frontiers of Fundamental Physics and Physics Education Research

Frontiers of Fundamental Physics and Physics Education Research
Author: Burra G. Sidharth
Publisher: Springer Science & Business Media
Total Pages: 586
Release: 2014-03-20
Genre: Science
ISBN: 331900297X

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In a knowledge-based society, research into fundamental physics plays a vital role not only in the enhancement of human knowledge but also in the development of new technology that affects everyday life.The international symposium series Frontiers of Fundamental Physics (FFP) regularly brings together eminent scholars and researchers working in various areas in physics to exchange expertise, ideas, results, and new research perspectives. The twelfth such symposium, FFP12, took place at the University of Udine, Italy, and covered diverse fields of research: astrophysics, high energy physics and particle physics, theoretical physics, gravitation and cosmology, condensed matter physics, statistical physics, computational physics, and mathematical physics. Importantly, it also devoted a great deal of attention to physics education research, teacher training in modern physics, and popularization of physics. The high scientific level of FFP12 was guaranteed by the careful selection made by scientific coordinators from among 250 submissions from 28 countries across the world. During the three days of the conference, nine general talks were delivered in plenary sessions, 29 invited talks were given in specific topic areas, and 59 oral presentations were made. This book presents a selection of the best contributions at FFP12 with the aim of acquainting readers with the most important recent advances in fundamental physics and in physics education and teacher development.

Trick or Truth?

Trick or Truth?
Author: Anthony Aguirre
Publisher: Springer
Total Pages: 253
Release: 2016-02-20
Genre: Science
ISBN: 3319274953

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The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Mathematics for Physicists

Mathematics for Physicists
Author: Brian R. Martin
Publisher: John Wiley & Sons
Total Pages: 596
Release: 2015-04-23
Genre: Science
ISBN: 1118676610

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Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: Interfaces with modern school mathematics syllabuses All topics usually taught in the first two years of a physics degree Worked examples throughout Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will be an excellent resource for undergraduate students in physics and a quick reference guide for more advanced students, as well as being appropriate for students in other physical sciences, such as astronomy, chemistry and earth sciences.

Mathematical Frontiers in Computational Chemical Physics

Mathematical Frontiers in Computational Chemical Physics
Author: Donald G. Truhlar
Publisher: Springer
Total Pages: 384
Release: 1988-08-25
Genre: Mathematics
ISBN:

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Proceedings of the Workshop on Atomar and Molecular Structure and Dynamics, held June 15 - July 24, 1987, at the Institute for Mathematics and Its Applications, University of Minnesota

Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao

Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao
Author: Mo-lin Ge
Publisher: World Scientific
Total Pages: 371
Release: 2014-03-18
Genre: Mathematics
ISBN: 981457810X

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This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects.

Frontiers in Physics - 2019 Editor's Choice

Frontiers in Physics - 2019 Editor's Choice
Author: Alex Hansen
Publisher: Frontiers Media SA
Total Pages: 186
Release: 2020-05-19
Genre:
ISBN: 2889637093

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Frontiers in Physics – FPHY – is now in its eighth year. Up to last year, the journal received a slowly increasing trickle of manuscripts, and then during the summer… Boom! The number of manuscripts we receive started increasing exponentially. This is of course a signal to us who are associated with the journal that we are on the right track to build a first-rate journal spanning the entire field of physics. And it is not the only signal. We also see it in other indicators such as the number of views and downloads, Impact Factor and the Cite Score. Should we be surprised at this increase? If I were to describe FPHY in one word, it would be “innovation”. Attaching the names of the reviewers that have endorsed publication permanently to the published paper is certainly in this class. It ensures that the reviewers are accountable; furthermore, the level of transparency this implies ensures that any conflict of interest is detected at the very beginning of the process. The review process itself is innovative. After an initial review that proceeds traditionally, the reviewers and authors enter a back-and-forth dialog that irons out any misunderstanding. The reviewers retain their anonymity throughout the process. The entire review process and any question concerning editorial decisions is fully in the hands of active scientists. The Frontiers staff is not allowed to make any such decision. They oversee the process and make sure that the manuscript and the process leading to publication or rejection upholds the standard. FPHY is of course a gold open access journal. This is the only scientific publication model that is compatible with the information revolution. A journal’s prestige is traditionally associated with how difficult it is to publish there. Exclusivity as criterion for desirability, is a mechanism we know very well from the consumer market. However, is this criterion appropriate for scientific publishing? It is almost by definition not possible to predict the importance of a new idea – otherwise it would not have been new. So, why should journals make decisions on publishing based on predicting the possible importance of a given work. This can only be properly assessed after publication. Frontiers has removed “importance” from the list of criteria for publication. That the work is new, is another matter: the work must be new and scientifically correct. It would seem that removing the criterion of “importance” would be a risky one, but it turns out not to be. The Specialty Chief Editors who lead the 18 sections that constitute FPHY, have made this selection of papers published in FPHY in 2019. We have chosen the papers that we have found most striking. Even though this is far from a random selection, they do give a good idea of what PFHY is about. Enjoy! We certainly did while making this selection. Professor Alex Hansen (Field Chief Editor)