A Gentle Introduction to Knots, Links and Braids, Aldrovandi Ruben, Da Rocha Jr Roldao
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: Alexander S. Holevo Название: Quantum Systems, Channels, Information: A Mathematical Introduction ISBN: 311027325X ISBN-13(EAN): 9783110273250 Издательство: Walter de Gruyter Цена: 112770.00 T Наличие на складе: Есть Описание: The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world.The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.
Автор: Couto, Ivo Terek Lymberopoulos, Alexandre Название: Introduction to lorentz geometry ISBN: 0367468646 ISBN-13(EAN): 9780367468644 Издательство: Taylor&Francis Рейтинг: Цена: 117390.00 T Наличие на складе: Невозможна поставка. Описание: This book intends to provide the reader with the minimum math background needed to pursue interesting questions like what is the relation between gravity and curvature by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously.
Автор: William A. Schwalm Название: Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications ISBN: 1681744481 ISBN-13(EAN): 9781681744483 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 41580.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development of the theory of one-parameter Lie groups, especially as they apply to ordinary differential equations. The treatment is informal, but systematic and reasonably self-contained, as it assumes a familiarity with basic physics and applied calculus, but it does not assume additional mathematical training. Interested readers should have a fair chance of finding symmetries of a second order differential equation and should be able to use it to reduce the order of the differential equation.
Автор: Bowman Gregory R. Название: Introduction to Markov State Models and Their Application to ISBN: 9400776055 ISBN-13(EAN): 9789400776050 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces the mathematical foundations of Markov models and details how they can be used to analyze simulations and drive efficient simulations. It also presents some of the insights these models have yielded in a variety of applications.
Автор: Timothy D. Andersen; Chjan C. Lim Название: Introduction to Vortex Filaments in Equilibrium ISBN: 1493951068 ISBN-13(EAN): 9781493951062 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples.
Автор: Palash B. Pal Название: A Physicist`s Introduction to Algebraic Structures: Vector Spaces, Groups, Topological Spaces and More ISBN: 1108492207 ISBN-13(EAN): 9781108492201 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra and measure angle.
Автор: Ewald Balcar; Stephen W. Lovesey Название: Introduction to the Graphical Theory of Angular Momentum ISBN: 3642260608 ISBN-13(EAN): 9783642260605 Издательство: Springer Рейтинг: Цена: 204970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Application of quantum mechanics in physics and chemistry often entails manipulation and evaluation of sums and products of coupling coefficients for the theory of angular momentum. Here is the first step-by-step exposition of a graphical method grounded in established work.
Автор: Stuart Raby Название: Introduction to the Standard Model and Beyond ISBN: 1108494196 ISBN-13(EAN): 9781108494199 Издательство: Cambridge Academ Рейтинг: Цена: 69690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written for a two-semester graduate course on the Standard Model, this text develops a practical understanding of the theoretical concepts, to prepare students to enter particle physics research. Taking a historical approach, it presents quantum field theory and symmetries as the necessary tools for describing and understanding the Standard Model.
Автор: Yoshiaki Tanii Название: Introduction to Supergravity ISBN: 4431548270 ISBN-13(EAN): 9784431548270 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explains the basic ideas of supergravity, collecting the relevant formulae in one place. Covers vielbein formulation of gravity; supergravities in four dimensions; superalgebras and supermultiplets; supergravities in higher dimensions and more.
Автор: Thurner Stefan Название: Introduction to the Theory of Complex Systems ISBN: 019882193X ISBN-13(EAN): 9780198821939 Издательство: Oxford Academ Рейтинг: Цена: 72870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Complex systems are everywhere. Ecosystems, financial markets, traffic, the economy, the internet and social media are complex systems. This textbook summarizes our understanding of complex systems and the methodological progress made over the past 20 years in a clear, structured, and comprehensive way.
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