kluwer pwn (5 risultati)

Hardcover. Condizione: Very Good. Hardcover, xv + 240 pages, NOT ex-library. Clean untanned pages, unmarked text, free of inscriptions and stamps, firmly bound. Boards show gentle shelfworn marks, a small closed edge-nick to the upper spine. Issued without a dust jacket. -- Many phenomena in mathematical economics, mathematical biology, physical mathematics and engineering may be modelled by a system of functional-differential equations where the past exerts its influence in a significant manner upon the future. They lead, in connection with some optimal control problems, to functional-differential inclusions. The present book is devoted to the investigation of the properties of functional-differential inclusions of the form [x dot](t) [is an element of] F(t,[x subscript t],[x dot subscript t]). Besides the existence theorems, the book is concerned with basic problems of optimal control theory, such as viability, controllability and existence bf optimal trajectories for the systems described by the functional-differential inclusions of the above type. Its main topics are: - continuities and measurability concepts of set-valued maps; - measurable and continuous selection theorems; - some properties of Aumann intergrable set-valued functions; - subtrajectory and trajectory integrals of "sigma"-selectionable set-valued functions; - relaxation and viability theorems; - existence theorems for neutral functional-differential inclusions; - compactness and upper semicontinuity of the set solutions; - controllability theorems; - some optimal problems for the systems described by neutral functional-differential inclusions. -- Contents: 1 Preliminaries [Set Theory and Topological Preliminaries; Functional Analysis Preliminaries; Vector Measures and Vector-Valued Functions; Special Spaces and Fixed Point Theorems; Notes and Remarks]; 2 Set-Valued Functions [Spaces of Subsets of Metric Space; Continuity Concepts; Measurable Set-Valued Functions and Aumann's Integral; Continuous Selections and Multivalued Fixed Point Theorems; Notes and Remarks]; 3. Subtrajectory and Trajectory Integrals of Set-Valued Functions [Fundamental Space of Aumann Integrable Set-Valued Functions; Subtrajectory and Trajectory Integrals of Set-Valued Functions; Fixed Point Properties of Subtrajectory and Trajectory Integrals Depending on Parameters; Subtrajectory and Trajectory Integrals of [] Selectionable Set-Valued Functions; Relaxation Theorems; Viability Theorems; Notes and Remarks]; 4. Neutral Functional-Differential Inclusions [Neutral Functional-Differential Equations and Fundamental Problems in Optimal Control Theory of Systems Described by NFDEs; Neutral Functional-Differential Inclusions; Properties of Sets of Solutions of NFDIs; Controllability Theorems for NFDIs with Convex-Valued Functions; Relaxation Theorem for Attainable Sets; Notes and Remarks]; 5. Optimal Control Problems for Systems Described by NFDIs [Existence Theorems; Attainable Trajectories with Minimal Selection Property; Notes and Remarks]; Bibliography; Index.

Hardcover. Condizione: Good. Hardcover, translated from the Polish, xiii + 131pp, bibliography & index, NOT ex-library. Interior in very good condition: clean, bright, untanned, with unmarked text. Boards show faint shelfwear, scuffing to lower outer corners with tiny superficial edge-nicks; a bit of rubbing to spine ends. Published without a dust jacket. --- This book presents, within the framework of the Special Theory of Relativity, a developed and partially formalized relational conception of past, present, and future. The conception is presented in two versions: the standard one in which relative time relations are applied, and the non-standard one - based on absolute time relations. The book also contains: the analysis of the relationship between past, present, and future and time; the specification of various possible connections of past, present, and future with existence; the temporal-relational characterization of the becoming of things and events, and finally - an analogous characterization of the coming-to-be, lasting, and passing away of things. The author assumes the ontology of so-called point-eventism, according to which every object is either a point-like event (spatio-temporally non-extended), or a set founded in such events; e.g., things are special sets of events.

Soft cover. Condizione: Good. Paperback, xii + 448 pages, NOT ex-library. Bumped upper outer corners: creases on the covers + light gentle creases on pages. Text pages are clean and bright with unmarked text, book is free of inscriptions and stamps, firmly bound. A tiny incision on spine. -- Petykiewicz's Wave Optics offers one of the most comprehensive and conceptually rigorous introductions to the theory of optical wave phenomena in the tradition of classical electrodynamics. It is a masterclass in the physical understanding of light - not simply as a ray or quantum, but as a field governed by Maxwell's equations and subject to the intricacies of real-world propagation, coherence, interference, and diffraction. Wave Optics builds a systematic and mathematically exact approach to electromagnetic wave theory, beginning with the fundamental elements of field description: Maxwell's equations, boundary conditions, energy and momentum conservation, and the derivation of the wave equation. From these first principles, Petykiewicz develops a deep treatment of polarization, spectral decomposition, and the behavior of electromagnetic waves at interfaces and within media of varying optical properties - including dispersive, conductive, and anisotropic materials. The strength of this book lies in its balance between abstract theoretical formulation and detailed physical application. Chapters on coherence, interference, and partial polarization address both idealized and real-world light sources. Readers are introduced to correlation functions, Fabry-Pérot interferometry, the Doppler effect on spectral lines, and the quantitative influence of coherence time and spatial coherence on optical imaging. Also valuable is the book's extensive treatment of diffraction - classical and electromagnetic. The coverage ranges from Kirchhoff and Rayleigh-Sommerfeld formulations to modern interpretations using Fourier optics and spatial frequency filtering. Diffraction patterns of common apertures and gratings are analyzed in depth, supported by derivations of Fresnel and Fraunhofer approximations, symmetry properties, and the physical significance of transfer functions. Later chapters broaden the scope to cover optical phenomena in crystalline and gyrotropic media, scattering by particles and fluctuations, the electrodynamics of the Faraday effect, and the basic principles of holography. The book also addresses nonlinear optical phenomena, waveguide propagation, and culminates with a clear exposition of the geometric optics approximation, using ray matrices and the eikonal equation to bridge ray and wave models. Wave Optics is ideal for upper-level undergraduates, graduate students, and researchers in physics or optical engineering. Its technical breadth and conceptual depth place it alongside classic treatments by Born and Wolf, but with a more focused emphasis on the continuum mechanics of optical fields. -- Contents: 1 Fundamental Elements of the Classical Description of the Electromagnetic Field 2 Electromagnetic Description of Light 3 Coherence/Interference Phenomena 4 Elements of Diffraction Theory 5 Diffraction of Electromagnetic Waves 6 Optics of Crystals 7 Gyrotropic Media 8 Light Scattering 9 Physical Principles of Holography 10 Nonlinear Phenomena in Optics 11 Waveguide Optics 12 Geometric Optics Approximation; Index.

Hardcover. Condizione: Near Fine. Condizione sovraccoperta: Very Good. 8vo (24.8 cm), VIII, 290 pp. Laminated boards. "The aim of the book is to acquaint the reader with the basic notions, facts and methods of Hilbert space theory. The exposition aims at clearness and full comprehensibility. All theorems, problems, methods and examples presented are accompanied by numerous explanatory remarks; subtleties are treated with great care. Theoretical considerations are illustrated by numerous examples and exercises." (from the Preface).

Hardcover. Condizione: Very Good. 281 pp. Hardcover, bound in boards. Light edge-wear.