Fundamental Theories and Their Applications of the Calculus of Variations, Lao Dazhong, Zhao Shanshan
Автор: Haines Duane E. Название: Fundamental Neuroscience for Basic and Clinical Applications ISBN: 0323396321 ISBN-13(EAN): 9780323396325 Издательство: Elsevier Science Рейтинг: Цена: 86450.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Using a rigorous yet clinically-focused approach, Fundamental Neuroscience for Basic and Clinical Applications, 5th Edition, covers the fundamental neuroscience information needed for coursework, exams, and beyond. It integrates neuroanatomy, pharmacology, and physiology, and offers a full section devoted to systems neurobiology, helping you comprehend and retain the complex material you need to know.
Highlights clinical content in blue
throughout the text, helping you focus on what you need to know in the clinical environment.
Presents thoroughly updated information in every chapter, with an emphasis on new clinical thinking as related to the brain and systems neurobiology.
Features hundreds of correlated state-of-the-art imaging examples, anatomical diagrams, and histology photos - nearly half are new or improved for this edition.
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Preliminaries.- Variational Problems with Fixed Boundaries.- Sufficient Conditions of Extrema of Functionals.- Problems with Variable Boundaries.- Variational Problems of Conditional Extrema.- Variational Problems in Parametric Forms.- Variational Principles.- Methods of Variational Problems.- Variational Principles in Mechanics and Their Applications.- Variational Problems of Functionals with Vector, Tensor and Hamiltonian Operators.
Автор: Cassel Название: Variational Methods with Applications in Science and Engineering ISBN: 1107022584 ISBN-13(EAN): 9781107022584 Издательство: Cambridge Academ Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: There is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and the applications for which variational methods form the foundation.
Автор: Dimitrios C. Kravvaritis, Athanasios N. Yannacopoulos Название: Variational Methods in Nonlinear Analysis: With Applications in Optimization and Partial Differential Equations ISBN: 3110647362 ISBN-13(EAN): 9783110647365 Издательство: Walter de Gruyter Цена: 96630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions.
In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems.
By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.
Автор: Athanasios N. Yannacopoulos, Dimitrios C. Kravvaritis Название: Variational Methods in Nonlinear Analysis: With Applications in Optimization and Partial Differential Equations ISBN: 3110647451 ISBN-13(EAN): 9783110647457 Издательство: Walter de Gruyter Рейтинг: Цена: 966970.00 T Наличие на складе: Нет в наличии. Описание: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Автор: Lebedev Leonid P Et Al Название: Advanced Engineering Analysis: The Calculus Of Variations And Functional Analysis With Applications In Mechanics ISBN: 981439047X ISBN-13(EAN): 9789814390477 Издательство: World Scientific Publishing Рейтинг: Цена: 157350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Focuses on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. This book offers an explanation of essential theory and applications.
Автор: Maitine Bergounioux, Gabriel Peyr?, Christoph Schn Название: Variational Methods: In Imaging and Geometric Control ISBN: 3110439239 ISBN-13(EAN): 9783110439236 Издательство: Walter de Gruyter Рейтинг: Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents:Part ISecond-order decomposition model for image processing: numerical experimentationOptimizing spatial and tonal data for PDE-based inpaintingImage registration using phase?amplitude separationRotation invariance in exemplar-based image inpaintingConvective regularization for optical flowA variational method for quantitative photoacoustic tomography with piecewise constant coefficientsOn optical flow models for variational motion estimationBilevel approaches for learning of variational imaging modelsPart IINon-degenerate forms of the generalized Euler?Lagrange condition for state-constrained optimal control problemsThe Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controlsControllability of Keplerian motion with low-thrust control systemsHigher variational equation techniques for the integrability of homogeneous potentialsIntroduction to KAM theory with a view to celestial mechanicsInvariants of contact sub-pseudo-Riemannian structures and Einstein?Weyl geometryTime-optimal control for a perturbed Brockett integratorTwist maps and Arnold diffusion for diffeomorphismsA Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part IIndex
Автор: Nail H. Ibragimov Название: Tensors and Riemannian Geometry: With Applications to Differential Equations ISBN: 311037949X ISBN-13(EAN): 9783110379495 Издательство: Walter de Gruyter Рейтинг: Цена: 68120.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.
Автор: Nikos Katzourakis Название: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L? ISBN: 3319128280 ISBN-13(EAN): 9783319128283 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE).
Автор: Wan, Frederic Название: Introduction To The Calculus of Variations And Its Applications ISBN: 0367449242 ISBN-13(EAN): 9780367449247 Издательство: Taylor&Francis Рейтинг: Цена: 63280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces the technique of dynamic programming and shows how it can be used to solve problems in the calculus of variations. It discusses the basic elements of elasticity theory and some variational formulations of the relevant boundary-value problems.
Автор: Anastassiou George a. Название: Generalized Fractional Calculus: New Advancements and Applications ISBN: 3030569616 ISBN-13(EAN): 9783030569617 Издательство: Springer Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus.
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