A Course in the Calculus of Variations, Santambrogio

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
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Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Aubert
Название: Mathematical Problems in Image Processing
ISBN: 0387322000 ISBN-13(EAN): 9780387322001
Издательство: Springer
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Цена: 121110.00 T
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Описание: The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions.

Автор: COLOMBINI; MARINO; MODICA; SPAGNOLA
Название: Partial Differential Equations and the Calculus of Variations
ISBN: 1461598338 ISBN-13(EAN): 9781461598336
Издательство: Springer
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Цена: 46570.00 T
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Автор: Irene Fonseca; Giovanni Leoni
Название: Modern Methods in the Calculus of Variations
ISBN: 1441922601 ISBN-13(EAN): 9781441922601
Издательство: Springer
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Цена: 60940.00 T
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Описание: This book presents in a unified way both classical and contemporary results in the Calculus of Variations. It brings together in one place the contemporary developments in the calculus of variations based on a series of lectures at Carnegie Mellon University.

Автор: Mariano Giaquinta
Название: Topics in Calculus of Variations
ISBN: 3540507272 ISBN-13(EAN): 9783540507277
Издательство: Springer
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Цена: 25150.00 T
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Автор: Rindler, Filip
Название: Calculus of variations
ISBN: 3319776363 ISBN-13(EAN): 9783319776361
Издательство: Springer
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Цена: 74530.00 T
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Описание: Part I Basic Course.- 1 Introduction.- 2 Convexity.- 3 Variations.- 4 Young Measures.- 5 Quasiconvexity.- 6 Polyconvexity.- 7 Relaxation.- Part II Advanced Topics.- 8 Rigidity.- 9 Microstructure.- 10 Singularities.- 11 Linear-Growth Functionals.- 12 Generalized Young Measures.- 13 G-Convergence.- A Prerequisites.- References.- Index.

Автор: Rassias
Название: Current Research in Nonlinear Analysis
ISBN: 3319897993 ISBN-13(EAN): 9783319897998
Издательство: Springer
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Цена: 102480.00 T
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Описание: Chapter 01- Anisotropic surface measures as limits of volume fractions.- Chapter 02- Failure of the chain rule in the non steady two-dimensional setting.- Chapter 03- On the maximality of the sum of two maximal monotone operators.- Chapter 04- Analysis and simulation of a model of phosphorus uptake by plant roots.- Chapter 05- Elliptic operators with infinitely many variables.- Chapter 06- On generalized pseudo-and quasiconvexities for nonsmooth function.- Chapter 07- On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system.- Chapter 08- Sum-intersection property of Sobolev spaces.- Chapter 09- Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey.- Chapter 10- Multiple periodic solutions of Lagrangian systems of relativistic oscillators.- Chapter 11- Applications of a theorem of Brezis-Nirenberg.- Chapter 12- Porous medium equation with nonlocal pressure.- Chapter 13- Nondiscrete Lassonde-Revalski principle and dependent choice.

Название: Calculus of Variations and Optimal Control Theory
ISBN: 0691151873 ISBN-13(EAN): 9780691151878
Издательство: Wiley
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Цена: 88710.00 T
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Описание: Offers an introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. This book traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter.

Автор: COLOMBINI; MARINO; MODICA; SPAGNOLA
Название: Partial Differential Equations and the Calculus of Variations
ISBN: 1461598303 ISBN-13(EAN): 9781461598305
Издательство: Springer
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Цена: 46570.00 T
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Автор: Kar
Название: Operations Research and Optimization
ISBN: 9811078130 ISBN-13(EAN): 9789811078132
Издательство: Springer
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Цена: 93160.00 T
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Описание: Featuring papers presented at the 1st International Conference on Frontiers in Optimization: Theory and Applications (FOTA 2016), held at the Heritage Institute of Technology, Kolkata, on 24-26 December 2016, it opens new avenues of research in all topics related to optimization, such as linear and nonlinear optimization;

Автор: Aldo Frediani; Bijan Mohammadi; Olivier Pironneau;
Название: Variational Analysis and Aerospace Engineering
ISBN: 3319833464 ISBN-13(EAN): 9783319833460
Издательство: Springer
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Цена: 93160.00 T
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Описание:

Molding direction constraints in structural optimization via a level-set method (Gr egoire Allaire, Franc, ois Jouve and Georgios Michailidis).- Adaptive Control for Weakly Minimum Phase Linear Infinite-Dimensional Systems in Hilbert Space Using a Zero Filter (Mark J. Balas, Susan A. Frost).- Aeroelasticity of the PrandtlPlane (Rauno Cavallaro, Rocco Bombardieri, Simone Silvani, Luciano Demasi and Giovanni Bernardini).- HyPSim: a simulation tool for hybrid aircraft performance analysis (Vittorio Cipolla, Fabrizio Oliviero).- Evolutionary and Heuristic Methods Applied to Problems in Optimal Control (Bruce A. Conway).- Thin-walled beams: asymptotic models and applications (Cesare Davini, Lorenzo Freddi and Rpberto Paroni).- The Variational Approach to Fracture (Gianpietro Del Piero).- Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings (Luciano Demasi, Giovanni Monegato, and Rauno Cavallaro).- On aerodynamic design with a POD surrogate model (Valentina Dolci, Renzo Arina).- Trust Region Filter-SQP Method for Multi-Fidelity Wing Aerostructural Optimization (Ali Elham and Michel J.L. van Tooren).- Tensegrity rings for deployable space antennas (Pier Luigi Ganga, Andrea Micheletti, Paolo Podio-Guidugli, Lucio Scolamiero, Gunnar Tibert, and Valfredo Zolesi).- Data analytic UQ cascade (Bijan Mohammadi).- Aerodynamic design of "box blade" and "non-planar" wind turbines (Luigi Molea, Emanuele Di Vitantonio, Aldo Frediani).- Numerical Study of a Monolithic Fluid-Structure Formulation (Olivier Pironneau).- A New, General Neighboring Optimal Guidance for Aerospace Vehicles (Mauro Pontani).- State-of-the-art of optimum shape design methods for industrial applications and beyond (Bruno Stoufflet).- Variational Analysis and Euler Equation of the Optimum Propeller Problem (Francesco Torrigiani, Aldo Frediani, Antonio Dipace).

Автор: Hansj?rg Kielh?fer
Название: Calculus of Variations
ISBN: 3319890387 ISBN-13(EAN): 9783319890388
Издательство: Springer
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Цена: 65210.00 T
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Описание: This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study. The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background.