The Structures of Mathematical Physics: An Introduction, Starkovich Steven P.
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: Vaz, Jr., Jayme (professor Of Mathematical Physics, University Of Campinas, Brazil) Da Rocha, Jr., Roldao (associate Professor, Abc Federal University Название: Introduction to clifford algebras and spinors ISBN: 0198836287 ISBN-13(EAN): 9780198836285 Издательство: Oxford Academ Рейтинг: Цена: 34310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.
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: 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: Palash B. Pal Название: A Physicist`s Introduction to Algebraic Structures: Vector Spaces, Groups, Topological Spaces and More ISBN: 1108729118 ISBN-13(EAN): 9781108729116 Издательство: Cambridge Academ Рейтинг: Цена: 73910.00 T Наличие на складе: Поставка под заказ. Описание: An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. 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, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts.
Автор: Dick Rainer Название: Special and General Relativity: An Introduction to Spacetime and Gravitation ISBN: 1643273779 ISBN-13(EAN): 9781643273778 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 72070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.
Автор: Dick Rainer Название: Special and General Relativity: An Introduction to Spacetime and Gravitation ISBN: 1643273817 ISBN-13(EAN): 9781643273815 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 93330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.
In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition.
The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.
Автор: Lizhen Ji, Eduard J. N. Looijenga Название: Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves ISBN: 1571463534 ISBN-13(EAN): 9781571463531 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 42510.00 T Наличие на складе: Невозможна поставка. Описание: Due to a broad connection with many subjects in mathematics and physics, Riemann surfaces and their moduli spaces have been intensively studied and will continue to attract attention in years to come. Recently, there has been an explosion of interest in and work on tropical algebraic curves. This book is an accessible introduction to all these topics.
Автор: Ingemar Bengtsson, Karol Zyczkowski Название: Geometry of Quantum States : An Introduction to Quantum Entanglement ISBN: 1107656141 ISBN-13(EAN): 9781107656147 Издательство: Cambridge Academ Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Автор: Taras Gerya Название: Introduction to Numerical Geodynamic Modelling ISBN: 1107143144 ISBN-13(EAN): 9781107143142 Издательство: Cambridge Academ Рейтинг: Цена: 70740.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of this popular introduction to numerical geodynamic modelling theory and applications features four new chapters. Based on the author`s experience of teaching the material, and including practical exercises and MATLAB (R) examples, this user-friendly resource encourages students and researchers to experiment with geodynamic models.
Автор: Steyn Название: Introduction to Atmospheric Modelling ISBN: 1107499798 ISBN-13(EAN): 9781107499799 Издательство: Cambridge Academ Рейтинг: Цена: 22170.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This graduate-level introduction shows how mathematical modelling helps us to understand atmospheric phenomena. Written for students with backgrounds in mathematics, physics and engineering, this book will be a valuable resource as they begin studying atmospheric science.
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