“…The content is mostly developed from scratch using only undergraduate mathematics, such as calculus and linear algebra.   .…”
Enlace del recurso
Enlace del recurso

“…The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. …”
Enlace del recurso
Enlace del recurso

“…The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. …”
Enlace del recurso
Enlace del recurso

“…This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. …”
Enlace del recurso
Enlace del recurso

“…With its accessible presentation and engaging style, A Sampling of Remarkable Groups is suitable for students in upper-level undergraduate or beginning graduate abstract algebra courses. It will also be of interest to researchers in mathematics, computer science, and related fields.…”
Enlace del recurso
Enlace del recurso

“…Each peer-reviewed chapter featured in this book reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. …”
Enlace del recurso
Enlace del recurso

“…Five appendices are provided which include a quick review of Fourier transforms and Boolean algebra. Extensive use is made of examples and diagrams. …”
Enlace del recurso

“…Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.…”
Enlace del recurso
Enlace del recurso

“…The preliminary knowledge needed by the reader is linear algebra and measure theory. Rigorous proofs are provided for theorems, propositions, and lemmas. …”
Enlace del recurso
Enlace del recurso

“…These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe.…”
Enlace del recurso
Enlace del recurso

“…Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.…”
Enlace del recurso
Enlace del recurso

“…Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own dedicated treatment. …”
Enlace del recurso

“…The theory of singularities lies at the crossroads between those branches of mathematics which are the most abstract and those which are the most applied. Algebraic and differential geometry and topology, commutative algebra and group theory are as intimately connected to singularity theory as are dynamical systems theory, control theory, differential equations, quantum mechanical and quasi-classical asymptotics, optics, and functional analysis. …”
Enlace del recurso

“…The first two talks (2 May at 11.00 hrs and 11 May* at 14.00 hrs) will be by way of mathematical introduction for those whose matrix algebra and solution of differential equations may need refreshing. …”
Enlace del recurso

“…Features and benefits: - Comprehensive coverage of the theory with many examples - Topics in classical computing include boolean algebra, gates, circuits, latches, error detection and correction, neural networks, Turing machines, cryptography, genetic algorithms - For the first time, genetic expression programming is presented in a textbook - Topics in quantum computing include mathematical foundations, quantum algorithms, quantum information theory, hardware used in quantum computing This book serves as a textbook for courses in scientific computing and is also very suitable for self-study. …”
Enlace del recurso
Enlace del recurso

“…Finally we follow another avenue and find modified Newtonian dynamics induced by the Yang's Noncommutative Spacetime algebra involving a lower and upper scale in Nature.…”
Enlace del recurso

“…For any Drinfeld-Jimbo quantum enveloping algebra Uq(g) and for any family~$\lambda =(\lambda _{ij})_{1\leq i<j\leq t} \in k^*$ of invertible elements of the base field, we explicitly construct a Galois object~$A_{\lambda}$ of Uq(g) by generators and relations and we prove that any Galois object of Uq(g) is homotopic to a unique object of type~$A_{\lambda}$.…”
Enlace del recurso

“…The reader is assumed to be familiar with linear algebra and analysis, ordinary differential equations, special relativity, and basic thermal physics, but prior knowledge of differential geometry and general relativity is not required. …”
Enlace del recurso
Enlace del recurso

Enlace del recurso
Enlace del recurso

“…The topological signature of asymmetric topology cryptography is stored in the computer by matrices that can produce number-based strings for application. By means of algebra, we introduce every-zero mixed graphic groups, graphic lattices, and various graph-type homomorphisms and graphic lattices based on mixed graphic groups into cloud computing technology. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso