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Author: Prahlad Vaidyanathan
Publisher: Cambridge University Press
ISBN: 100924390X
Category : Mathematics
Languages : en
Pages : 557
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Book Description
This textbook guides graduate students and researchers through the basics of Functional Analysis and the theory of Operator Algebras.
Author: Prahlad Vaidyanathan
Publisher: Cambridge University Press
ISBN: 100924390X
Category : Mathematics
Languages : en
Pages : 557
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Book Description
This textbook guides graduate students and researchers through the basics of Functional Analysis and the theory of Operator Algebras.
Author: Robert Daniels Goodwin
Publisher:
ISBN:
Category : Methane
Languages : en
Pages : 284
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Book Description
Author: Max Cerf
Publisher: John Wiley & Sons
ISBN: 1394293798
Category : Science
Languages : en
Pages : 469
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Book Description
Authoritative reference covering essential concepts of orbital mechanics and explaining how they relate to advanced space trajectory applications Space Trajectories is the first book to offer a comprehensive exploration of orbital mechanics and trajectory optimization in a single volume. Beginning with a review of essential concepts, the book progresses to advanced space applications, highlighting methods used in today's space missions. The contents are organized into three parts. The first part delves into free orbital motion, covering topics such as Keplerian motion, perturbed motion, the three-body problem, orbit determination, and collision risks in orbit. The second part focuses on controlled orbital motion, discussing impulsive transfer, orbital rendezvous, thrust level optimization, low-thrust transfer, and space debris cleaning. The third part examines ascent and reentry, including launch into orbit, launcher staging, analytical solutions in flat Earth, interplanetary missions, and atmospheric reentry. Each chapter is written in a modular way, featuring conclusion summaries, key points, and suggestions for further investigation. Examples are included with detailed solutions methods that readers can apply to solve their own trajectory problems. Written by an expert of the topic who has performed guidance of Ariane launchers for 30 years, Space Trajectories includes information on: Keplerian motion, motion time law, universal formulation, equinoctial parameters, and Lagrange coefficients Osculating orbit, Gauss equations, gravitational and third body perturbations, Lissajous and Halo orbits, and invariant manifolds Astrometry measurements, Kalman filtering, orbit uncertainties, and collision probability Transfer in one, two, or three impulses, minimum-energy transfer, Lambert's problem, high- and low-thrust transfer, and interplanetary path Launch and reentry trajectories, propulsion systems, optimized thrust profiles, and launcher staging Space Trajectories is an essential reference for students and researchers aiming to quickly understand the main issues in astrodynamics and the way to design trajectories, as well as space engineers seeking to consolidate their knowledge in the field of optimization and optimal control applied to aerospace and space missions.
Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 9780792323372
Category : Mathematics
Languages : en
Pages : 386
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Book Description
This volume, which presents the cumulation of the authors' research in the field, deals with Lidstone, Hermite, Abel-Gontscharoff, Birkhoff, piecewise Hermite and Lidstone, spline and Lidstone-spline interpolating problems. Explicit representations of the interpolating polynomials and associated error functions are given, as well as explicit error inequalities in various norms. Numerical illustrations are provided of the importance and sharpness of the various results obtained. Also demonstrated are the significance of these results in the theory of ordinary differential equations such as maximum principles, boundary value problems, oscillation theory, disconjugacy and disfocality. The book should be useful for mathematicians, numerical analysts, computer scientists and engineers.
Author: R.E. Edwards
Publisher: Courier Corporation
ISBN: 0486145107
Category : Mathematics
Languages : en
Pages : 802
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Book Description
"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
Author: Luigi Ambrosio
Publisher: American Mathematical Soc.
ISBN: 1470439131
Category : Education
Languages : en
Pages : 134
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Book Description
The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convexity when one investigates the convexity properties of N-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, the authors' new approach uses the nonlinear diffusion semigroup induced by the N-dimensional entropy, in place of the heat flow. Under suitable assumptions (most notably the quadraticity of Cheeger's energy relative to the metric measure structure) both approaches are shown to be equivalent to the strong CD∗(K,N) condition of Bacher-Sturm.
Author: Tao Qian
Publisher: Springer
ISBN: 3319419455
Category : Mathematics
Languages : en
Pages : 335
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Book Description
This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.
Author: Jean Salencon
Publisher: Springer Science & Business Media
ISBN: 3642565425
Category : Science
Languages : en
Pages : 794
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Book Description
Outstanding approach to continuum mechanics. Its high mathematical level of teaching together with abstracts, summaries, boxes of essential formulae and numerous exercises with solutions, makes this handbook one of most complete books in the area. Students, lecturers, and practitioners will find this handbook a rich source for their studies or daily work.
Author: Henryk Gzyl
Publisher: World Scientific
ISBN: 981433877X
Category : Mathematics
Languages : en
Pages : 351
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Book Description
Describes a useful tool for solving linear inverse problems subject to convex constraints. This book consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. It explores a variety of mathematical aspects of the maximum entropy method.
Author: V.V. Ivanov
Publisher: Springer Science & Business Media
ISBN: 1461540623
Category : Science
Languages : en
Pages : 260
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Book Description
At present, concerning intensive development of computer hardware and software, computer-based methods for modeling of difficult problems have become the main technique for theoretical and applied investigations. Many unsolved tasks for evolutionary systems (ES) are an important class of such problems. ES relate to economic systems on the whole and separate branches and businesses, scientific and art centers, ecological systems, populations, separate species of animals and plants, human organisms, different subsystems of organisms, cells of animals and plants, and soon. Available methods for modeling of complex systems have received considerable attention and led to significant results. No large-scale programs are done without methods of modeling today. Power programs, health programs, cosmos investigations, economy designs, etc. are a few examples of such programs. Nevertheless, in connection with the permanent complication of contemporary problems, existing means are in need of subsequent renovation and perfection. In the monograph, along with analysis of contemporary means, new classes of mathematical models (MM) which can be used for modeling in the most difficult cases are proposed and justified. The main peculiarities of these MM offer possibilities for the description ofES; creation and restoration processes; dynamics of elimination or reservation of obsolete technology in ES; dynamics of resources distribution for fulfillment of internal and external functions ofES; and so on. The complexity of the problems allows us to refer to the theory and applications of these MM as the mathematical theory of development. For simplicity, the title "Model Development and Optimization" was adopted.
