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Probabilistic Normed Spaces - Panackal Harikrishnan - Bog - Imperial College Press - Plusbog.dk

Probabilistic Normed Spaces - Panackal Harikrishnan - Bog - Imperial College Press - Plusbog.dk

This book provides a comprehensive foundation in Probabilistic Normed (PN) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early 1960s as a response to problems of best approximations in statistics. The theory was revived by Claudi Alsina, Bert Schweizer and Abe Sklar in 1993, who provided a new, wider definition of a PN space which quickly became the standard adopted by all researchers. This book is the first wholly up-to-date and thorough investigation of the properties, uses and applications of PN spaces, based on the standard definition. Topics covered include: - What are PN spaces? - The topology of PN spaces - Probabilistic norms and convergence - Products and quotients of PN spaces - D -boundedness and D -compactness - Normability - Invariant and semi-invariant PN spaces - Linear operators - Stability of some functional equations in PN spaces - Menger's 2-probabilistic normed spaces The theory of PN spaces is relevant as a generalization of deterministic results of linear normed spaces and also in the study of random operator equations. This introduction will therefore have broad relevance across mathematical and statistical research, especially those working in probabilistic functional analysis and probabilistic geometry.

DKK 732.00
1

Asymptotic Perturbation Theory Of Waves - Lev Ostrovsky - Bog - Imperial College Press - Plusbog.dk

Asymptotic Perturbation Theory Of Waves - Lev Ostrovsky - Bog - Imperial College Press - Plusbog.dk

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution. The method, which does not depend on integrability of basic equations, is applied to quasi-harmonic and non-harmonic periodic waves, as well as to localized waves such as solitons, kinks, and autowaves. The basic theoretical ideas are illustrated by many physical examples throughout the book.

DKK 935.00
1

Applied Analysis: Mathematical Methods In Natural Science (2nd Edition) - Takashi Suzuki - Bog - Imperial College Press - Plusbog.dk

Applied Analysis: Mathematical Methods In Natural Science (2nd Edition) - Takashi Suzuki - Bog - Imperial College Press - Plusbog.dk

This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron''s method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution.

DKK 994.00
1

Orbitals: With Applications In Atomic Spectra - Charles Stuart Mccaw - Bog - Imperial College Press - Plusbog.dk

Orbitals: With Applications In Atomic Spectra - Charles Stuart Mccaw - Bog - Imperial College Press - Plusbog.dk

“This clearly written and elegantly presented short textbook will meet essential needs in diverse undergraduate Chemistry courses, covering orbitals in simple hydrogen – like atoms, multi-electron atoms and in molecules in a mathematically rigorous yet simultaneously physically insightful manner. I will certainly recommend the text to my undergraduates. In excess of 100 problems with full worked answers at all levels are provided and will certainly become a major teaching resource.” Richard G ComptonTutor in ChemistrySt John's CollegeOxford University, UK This book describes atomic orbitals at a level suitable for undergraduates in chemistry. The mathematical treatment is brought to life by many illustrations rendered from mathematical functions (no artists' impressions), including three-dimensional plots of angular functions, showing orbital phase, and contour plots of the wavefunctions that result from orbital hybridisation. Orbitals extends the key fundamental quantum properties to many-electron atoms, linear combinations of atomic orbitals, simple molecules, delocalised systems and atomic spectroscopy. By focusing on simple model systems, use of analogies and avoiding group theory the results are obtained from initial postulates without the need for sophisticated mathematics.

DKK 876.00
1

Orbitals: With Applications In Atomic Spectra - Charles Stuart Mccaw - Bog - Imperial College Press - Plusbog.dk

Orbitals: With Applications In Atomic Spectra - Charles Stuart Mccaw - Bog - Imperial College Press - Plusbog.dk

“This clearly written and elegantly presented short textbook will meet essential needs in diverse undergraduate Chemistry courses, covering orbitals in simple hydrogen – like atoms, multi-electron atoms and in molecules in a mathematically rigorous yet simultaneously physically insightful manner. I will certainly recommend the text to my undergraduates. In excess of 100 problems with full worked answers at all levels are provided and will certainly become a major teaching resource.” Richard G ComptonTutor in ChemistrySt John's CollegeOxford University, UK This book describes atomic orbitals at a level suitable for undergraduates in chemistry. The mathematical treatment is brought to life by many illustrations rendered from mathematical functions (no artists' impressions), including three-dimensional plots of angular functions, showing orbital phase, and contour plots of the wavefunctions that result from orbital hybridisation. Orbitals extends the key fundamental quantum properties to many-electron atoms, linear combinations of atomic orbitals, simple molecules, delocalised systems and atomic spectroscopy. By focusing on simple model systems, use of analogies and avoiding group theory the results are obtained from initial postulates without the need for sophisticated mathematics.

DKK 423.00
1

Theory Of Toroidally Confined Plasmas, The (Third Edition) - Roscoe B White - Bog - Imperial College Press - Plusbog.dk

Theory Of Toroidally Confined Plasmas, The (Third Edition) - Roscoe B White - Bog - Imperial College Press - Plusbog.dk

This graduate level textbook develops the theory of magnetically confined plasma, with the aim of bringing the reader to the level of current research in the field of thermonuclear fusion. It begins with the basic concepts of magnetic field description, plasma equilibria and stability, and goes on to derive the equations for guiding center particle motion in an equilibrium field. Topics include linear and nonlinear ideal and resistive modes and particle transport. It is of use to workers in the field of fusion both for its wide-ranging account of tokamak physics and as a kind of handbook or formulary.This edition has been extended in a number of ways. The material on mode-particle interactions has been reformulated and much new information added, including methodology for Monte Carlo implementation of mode destabilization. These results give explicit means of carrying out mode destabilization analysis, in particular for the dangerous fishbone mode. A new chapter on cyclotron motion in toroidal geometry has been added, with comparisons of the analysis of resonances using guiding center results. A new chapter on the use of lithium lined walls has been added, a promising means of lowering the complexity and cost of full scale fusion reactors. A section on nonlocal transport has been added, including an analysis of Levy flight simulations of ion transport in the reversed field pinch in Padova, RFX.

DKK 826.00
1