Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust's work on and contributions to the theory of fractal interpolation, and the author uses a number of tools-including analysis, topology, algebra, and probability theory-to introduce readers to this exciting subject....
This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future.At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient 'toolkit' for use...
Darboux Transformations in Integrable Systems (Mathematical Physics Studies, #26)
by Chaohao Gu, H Hu, and Zixiang Zhou
GU Chaohao The soliton theory is an important branch of nonlinear science. On one hand, it describes various kinds of stable motions appearing in - ture, such as solitary water wave, solitary signals in optical ?bre etc., and has many applications in science and technology (like optical signal communication). On the other hand, it gives many e?ective methods ofgetting explicit solutions of nonlinear partial di?erential equations. Therefore, it has attracted much attention from physicists as well...
One Hundred Years of Gauge Theory (Fundamental Theories of Physics, #199)
This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world's leading theoretical physicists, mathematicians, historians and philosophers of science. The contributions from theoretical physics explore e.g. the consistency of the unification of gravitation and quantum theory, the underpinnings of experimental tests of gauge theory and its role in shedding light on the relationship between mathematics and physics. In turn, historians and philosophers of s...
Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for t...
Representation Theory and Automorphic Forms (Progress in Mathematics, #255)
This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality...
Hermitian-Grassmannian Submanifolds (Springer Proceedings in Mathematics & Statistics, #203)
This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for resea...
Exam Board: Edexcel Level: GCSE Subject: Maths Suitable for the 2023 exams Revise for your maths GCSE 9-1 exam in a snap! Revise tricky topics in a snap Collins Snap Revision helps you focus on the areas of your revision that you find tricky or need extra practice in. Spaced practice opportunities allow you to test, revisit and review your understanding throughout your...
Exam Board: Edexcel Level: GCSE Subject: Maths First Teaching: September 2015; First Exams: June 2017 Suitable for the 2020 exams Revise tricky topics in a snap Collins Snap Revision helps you focus on the areas of your revision that you find tricky or need extra practice in. Spaced practice opportunities allow you to test, revisit and review your unders...
Introduction to Relativistic Continuum Mechanics (Lecture Notes in Physics, #727)
by Giorgio Ferrarese and Donato Bini
This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the framework of special relativity. Therefore, in addition to standard textbook topics such as relativistic kinematics and vacuum electrodynamics, the reader will be thoroughly introduced to relativistic continuum and fluid mechanics. There is emphasis on the 3+1 splitting technique.
Das dreibändige Lehrbuch bietet ein breites Fundament an mathematischen Grundlagen zur Lösung von Problemstellungen aus der Kartographie und Geodäsie. Es vermittelt somit Studierenden in Studiengängen Kartographie, Geodäsie und Geoinformatik das notwendige mathematische Grundwissen für andere Lehrgebiete und für die spätere berufliche Praxis. Die Lehrbuchreihe enthält neben Kapiteln zu Themen aus der Mathematik, welche auch für viele andere naturwissenschaftliche und ingenieurtechnischen Studie...
The Penrose Transform (Dover Books on Mathematics)
by Robert Baston
This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in several ways for different problems, in order to derive uniqueness, existence or nonexistence, symmetry, and other properties of solutions.
Introduction to Tensor Analysis and the Calculus of Moving Surfaces
by Pavel Grinfeld
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differentia...
Algorithmen Zur Gefasserkennung Fur Die Koronarangiographie Mit Synchrotronstrahlung
by Jorg Mielebacher
Harmonic Maps and Minimal Immersions with Symmetries (AM-130) (Annals of Mathematics Studies, #130)
by James Eells and Andrea Ratto
Differential Geometry, Algebra, and Analysis (Springer Proceedings in Mathematics & Statistics, #327)
This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 15-17 November 2016. It covers a wide range of topics-geometry of submanifolds, geometry of statistical submanifolds, ring theory, module theory, optimization theory, and approximation theory-which exhibit new ideas and methodologies for curre...
The Geometry of Jordan and Lie Structures (Lecture Notes in Mathematics, #1754)
by Wolfgang Bertram
0. In this work of we the Lie- and Jordan on an study interplay theory and ona level.Weintendtocontinue ittoa algebraic geometric systematicstudy ofthe role Jordan inharmonic In the of theoryplays analysis. fact, applications the of Jordan to theharmonic on cones theory algebras analysis symmetric (cf. of the wereatthe theauthor'sworkinthisarea. Then monograph[FK94]) origin Jordan in of turned the causal algebras up study many symmetric (see spaces Section and clearthat all soon itbecame XI.3),...