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The Divergence Theorem and Sets of Finite Perimeter, Pfeffer, Washek F.


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Автор: Pfeffer, Washek F.
Название:  The Divergence Theorem and Sets of Finite Perimeter
ISBN: 9780367381516
Издательство: Taylor&Francis
Классификация:
ISBN-10: 0367381516
Обложка/Формат: Paperback
Страницы: 260
Вес: 0.48 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 231 x 155 x 20
Читательская аудитория: Tertiary education (us: college)
Основная тема: Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration - no generalized Riemann integrals of Henstock-Kurzweil variety are involved.





In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral and Hausdorff measures are used. The resulting integration by parts is sufficiently general for many applications. As an example, it is applied to removable singularities of Cauchy-Riemann, Laplace, and minimal surface equations.





The sets of finite perimeter are introduced in Part II. Both the geometric and analytic points of view are presented. The equivalence of these viewpoints is obtained via the functions of bounded variation. These functions are studied in a self-contained manner with no references to Sobolevs spaces. The coarea theorem provides a link between the sets of finite perimeter and functions of bounded variation.





The general divergence theorem for bounded vector fields is proved in Part III. The proof consists of adapting the combinatorial argument of Part I to sets of finite perimeter. The unbounded vector fields and mean divergence are also discussed. The final chapter contains a characterization of the distributions that are equal to the flux of a continuous vector field.




Wigner-type theorems for hilbert grassmannians

Автор: Pankov, Mark
Название: Wigner-type theorems for hilbert grassmannians
ISBN: 1108790917 ISBN-13(EAN): 9781108790918
Издательство: Cambridge Academ
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Цена: 9346.00 р.
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Описание: Wigner`s theorem plays an important role in the mathematical foundations of quantum mechanics. This book provides a quick, accessible introduction to the geometric approach to Wigner-type theorems, unifying both classical and more recent results, and is suitable for graduate students as well as more experienced researchers.

Disc embedding theorem

Название: Disc embedding theorem
ISBN: 0198841310 ISBN-13(EAN): 9780198841319
Издательство: Oxford Academ
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Цена: 12672.00 р.
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Описание: The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman`s proof of the disc embedding theorem

Quantum f-divergences in von neumann algebras

Автор: Hiai, Fumio
Название: Quantum f-divergences in von neumann algebras
ISBN: 981334198X ISBN-13(EAN): 9789813341982
Издательство: Springer
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Цена: 12577.00 р.
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Описание: 1 Introduction.- 2 Standard f -Divergences.- 3 Rйnyi Divergences and Sandwiched Rйnyi Divergences.- 4 Maximal f -Divergences.- 5 Measured f -Divergences.- 6 Reversibility and Quantum Divergences.- 7 Reversibility and Measurements.- 8 Preservation of Maximal f -Divergences.- A Preliminaries on von Neumann Algebras.- B Preliminaries on Positive Self-Adjoint Operators.- C Operator Convex Functions on (0,1).- D Operator Connections of Normal Positive Functionals.

Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity

Автор: Stefano Bellucci
Название: Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity
ISBN: 3319037730 ISBN-13(EAN): 9783319037738
Издательство: Springer
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Цена: 23508.00 р.
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Описание: This is the seventh volume in a series on the general topics of supersymmetry, supergravity, black objects (including black holes) and the attractor mechanism.

Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity

Автор: Stefano Bellucci
Название: Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity
ISBN: 3319350358 ISBN-13(EAN): 9783319350356
Издательство: Springer
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Цена: 20896.00 р.
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Описание: This is the seventh volume in a series on the general topics of supersymmetry, supergravity, black objects (including black holes) and the attractor mechanism.

C and a-theorems and the local renormalisation group

Автор: Shore, Graham
Название: C and a-theorems and the local renormalisation group
ISBN: 331953999X ISBN-13(EAN): 9783319539997
Издательство: Springer
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Цена: 7685.00 р.
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Описание:

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG).

The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail.

A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented.

Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT.

Reaction Kinetics: Exercises, Programs and Theorems

Автор: J?nos T?th; Attila L?szl? Nagy; D?vid Papp
Название: Reaction Kinetics: Exercises, Programs and Theorems
ISBN: 1493993518 ISBN-13(EAN): 9781493993512
Издательство: Springer
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Цена: 7965.00 р.
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Описание: Fifty years ago, a new approach to reaction kinetics began to emerge: one based on mathematical models of reaction kinetics, or formal reaction kinetics. Since then, there has been a rapid and accelerated development in both deterministic and stochastic kinetics, primarily because mathematicians studying differential equations and algebraic geometry have taken an interest in the nonlinear differential equations of kinetics, which are relatively simple, yet capable of depicting complex behavior such as oscillation, chaos, and pattern formation.

The development of stochastic models was triggered by the fact that novel methods made it possible to measure molecules individually. Now it is high time to make the results of the last half-century available to a larger audience: students of chemistry, chemical engineering and biochemistry, not to mention applied mathematics. Based on recent papers, this book presents the most important concepts and results, together with a wealth of solved exercises. The book is accompanied by the authors’ Mathematica package, ReactionKinetics, which helps both students and scholars in their everyday work, and which can be downloaded from http://extras.springer.com/ and also from the authors’ websites. Further, the large set of unsolved problems provided may serve as a springboard for individual research.
Reaction Kinetics: Exercises, Programs and Theorems

Автор: T?th
Название: Reaction Kinetics: Exercises, Programs and Theorems
ISBN: 1493986414 ISBN-13(EAN): 9781493986415
Издательство: Springer
Рейтинг:
Цена: 7965.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Fifty years ago, a new approach to reaction kinetics began to emerge: one based on mathematical models of reaction kinetics, or formal reaction kinetics. Since then, there has been a rapid and accelerated development in both deterministic and stochastic kinetics, primarily because mathematicians studying differential equations and algebraic geometry have taken an interest in the nonlinear differential equations of kinetics, which are relatively simple, yet capable of depicting complex behavior such as oscillation, chaos, and pattern formation.

The development of stochastic models was triggered by the fact that novel methods made it possible to measure molecules individually. Now it is high time to make the results of the last half-century available to a larger audience: students of chemistry, chemical engineering and biochemistry, not to mention applied mathematics. Based on recent papers, this book presents the most important concepts and results, together with a wealth of solved exercises. The book is accompanied by the authors’ Mathematica package, ReactionKinetics, which helps both students and scholars in their everyday work, and which can be downloaded from http://extras.springer.com/ and also from the authors’ websites. Further, the large set of unsolved problems provided may serve as a springboard for individual research.
Limit Theorems for Multi-Indexed Sums of Random Variables

Автор: Oleg Klesov
Название: Limit Theorems for Multi-Indexed Sums of Random Variables
ISBN: 3662443872 ISBN-13(EAN): 9783662443873
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes.Limit theorems form the backbone of probability theory and statistical theory alike.

Noether`s theorems

Автор: Sardanashvily, Gennadi
Название: Noether`s theorems
ISBN: 946239170X ISBN-13(EAN): 9789462391703
Издательство: Springer
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Цена: 13275.00 р.
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Описание: It presents applications in such area`s as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws.


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