Developments in Mathematical and Conceptual Physics: Concepts and Applications for Engineers, Parthasarathy Harish
Автор: Sadri Hassani Название: Mathematical Physics: A Modern Introduction To Its Foundations ISBN: 3319011944 ISBN-13(EAN): 9783319011943 Издательство: Springer Рейтинг: Цена: 86310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
The book is divided into eight parts: The first covers finite- dimensional vector spaces and the linear operators defined on them. The second is devoted to infinite-dimensional vector spaces, and includes discussions of the classical orthogonal polynomials and of Fourier series and transforms. The third part deals with complex analysis, including complex series and their convergence, the calculus of residues, multivalued functions, and analytic continuation. Part IV treats ordinary differential equations, concentrating on second-order equations and discussing both analytical and numerical methods of solution. The next part deals with operator theory, focusing on integral and Sturm--Liouville operators. Part VI is devoted to Green's functions, both for ordinary differential equations and in multidimensional spaces. Parts VII and VIII contain a thorough discussion of differential geometry and Lie groups and their applications, concluding with Noether's theorem on the relationship between symmetries and conservation laws.
Intended for advanced undergraduates or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids.
Numerous enhancements and revision are incorporated into this new edition. For example, fiber bundle techniques are used to introduce differential geometry. This more elegant and intuitive approach naturally connects differential geometry with not only the general theory of relativity, but also gauge theories of fundamental forces.
Some praise for the previous edition:
PAGEOPH Pure and Applied Geophysics]
Review by Daniel Wojcik, University of Maryland
"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."
ZENTRALBLATT MATH
Review by G.Roepstorff, University of Aachen, Germany
..". Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics studen
Автор: Wang, Y.A., Thachuk, M., Krems, R., Maruani, J. Название: Concepts, Methods and Applications of Quantum Systems in Chemistry and Physics ISBN: 3319745816 ISBN-13(EAN): 9783319745817 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This edited, multi-author volume contains selected, peer-reviewed contributions based on the presentations given at the 21th International Workshop on Quantum Systems in Chemistry, Physics, and Biology (QSCP-XXI), held in Vancouver, Canada, in July 2016.
Автор: Kholodenko Arkady Название: Applications of Contact Geometry and Topology in Physics ISBN: 9814412082 ISBN-13(EAN): 9789814412087 Издательство: World Scientific Publishing Рейтинг: Цена: 163680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Although contact geometry and topology still remains a domain of research in pure mathematics. This book attempts to change the status quo. It is written in the style of Landau - Lifshitz (L - L) multivolume course in theoretical physics. It expects readers to have background in theoretical physics (at least at the level of the L - L course).
Автор: Vakhtang Gogokhia Название: Mass Gap and Its Applications ISBN: 9814440701 ISBN-13(EAN): 9789814440707 Издательство: World Scientific Publishing Рейтинг: Цена: 85530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Quantum Chromodynamics (QCD) is the most up-to-date theory of the strong interaction. Its predictions have been verified experimentally, and it is a cornerstone of the Standard Model of particle physics. However, standard perturbative procedures fail if applied to low-energy QCD. Even the discovery of the Higgs Boson will not solve the problem of masses originating from the non-perturbative behavior of QCD.This book presents a new method, the introduction of the 'mass gap', first suggested by Arthur Jaffe and Edward Witten at the turn of the millennium. It attempts to show that, to explain the mass-spectrum of QCD, one needs the mass scale parameter (the mass gap) instead of other massive particles. The energy difference between the lowest order and the vacuum state in Yang-Mills quantum field theory, the mass gap is in principle responsible for the large-scale structure of the QCD ground state, and thus also for its non-perturbative phenomena at low energies. This book not only presents the mass gap, but also details the applications and outlook of the mass gap method. A detailed summary of references and problems are included as well.This book is best for scientists and highly advanced students interested in non-perturbative effects and methods in QCD.
Автор: Metzler Ralf Название: First-passage Phenomena and Their Applications ISBN: 9814590282 ISBN-13(EAN): 9789814590280 Издательство: World Scientific Publishing Рейтинг: Цена: 205920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book contains review articles on recent advances in first-passage phenomena and applications contributed by leading international experts. It is intended for graduate students and researchers who are interested in learning about this intriguing and important topic.
Автор: Carlo Rovelli Название: General Relativity: The most beautiful of theories: Applications and trends after 100 years ISBN: 3110340429 ISBN-13(EAN): 9783110340426 Издательство: Walter de Gruyter Цена: 126570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Generalising Newton's law of gravitation, general relativity is one of the pillars of modern physics. While applications in the beginning were restricted to isolated effects such as a proper understanding of Mercury's orbit, the second half of the twentieth century saw a massive development of applications. These include cosmology, gravitational waves, and even very practical results for satellite based positioning systems as well as different approaches to unite general relativity with another very successful branch of physics – quantum theory. On the occassion of general relativity's centennial, leading scientists in the different branches of gravitational research review the history and recent advances in the main fields of applications of the theory, which was referred to by Lev Landau as “the most beautiful of the existing physical theories”. Contributions from: Andy C. Fabian, AnthonyL. Lasenby, Astrophysical black Holes Neil Ashby, GNSS and other applications of General Relativity Gene Byrd, Arthur Chernin, Pekka Teerikorpi, Mauri Vaaltonen,Observations of general Relativity at strong and weaks limits Ignazio Ciufolini, General Relativity and dragging of inertial frames Carlo Rovelli, The strange world of quantum spacetime
Автор: Hofmann Ralf Название: Thermodynamics Of Quantum Yang-Mills Theory, The: Theory And Applications (Second Edition) ISBN: 9813100486 ISBN-13(EAN): 9789813100480 Издательство: World Scientific Publishing Рейтинг: Цена: 59130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the second, amended edition of the book. In addition to the material of the first edition it contains a derivation of the value of action for each of those Harrington–Shepard calorons/anticalorons that are relevant for the emergence of the thermal ground state, discussions of the caloron center vs. its periphery, of the role of the thermal ground state in U(1) wave propagation, of photonic particle–wave duality, and of calculational intricacies and book-keeping related to one-loop scattering of massless modes in the deconfining phase of an SU(2) Yang–Mills theory. Moreover, a derivation of the temperature–redshift relation of the CMB in deconfining SU(2) Yang–Mills thermodynamics and its application to explaining an apparent early re-ionization of the Universe are given. Finally, a mechanism of mass generation for cosmic neutrinos is proposed.
Автор: Contucci Название: Advances in Disordered Systems, Random Processes and Some Applications ISBN: 1107124107 ISBN-13(EAN): 9781107124103 Издательство: Cambridge Academ Рейтинг: Цена: 142560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.
Автор: Wazwaz Abdul-Majid Название: First Course In Integral Equations, A (Second Edition) ISBN: 9814675121 ISBN-13(EAN): 9789814675123 Издательство: World Scientific Publishing Рейтинг: Цена: 42240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.
Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana) Название: Mathematical Methods in Engineering ISBN: 1107037042 ISBN-13(EAN): 9781107037045 Издательство: Cambridge Academ Рейтинг: Цена: 67590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
