Calculus and mathematical analysis

The heart of the book is the development of a short-time asymptotic expansion for the heat kernel.

This book constitutes the refereed conference proceedingsof the 15th International Conference on Rough Sets, Fuzzy Sets, Data Mining andGranular Computing, RSFDGrC 2015, held in Tianjin, China in November 2015 asone of the co-located conference of the 2015 Joint Rough Set Symposium, JRS2015.

This book constitutes the thoroughly refereed conference proceedings of the 10th International Conference on Rough Sets and Knowledge Technology, RSKT 2015, held in Tianjin, China, in November 2015, as part of the International Joint Conference on Rough Sets, IJCRS 2015, together with the 15th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, RSFDgrC 2015.

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature.

In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis.

This book offers a thoroughand self-contained exposition of the mathematics of time-domain boundaryintegral equations associated to the wave equation, including applications toscattering of acoustic and elastic waves.

This book constitutes the refereed proceedings of the 9th International Conference on Combinatorial Optimization and Applications, COCOA 2015, held in Houston, TX, USA, in December 2015.

This book constitutes the thoroughly refereedpost-conference proceedings of the 10th International Conference on Large-ScaleScientific Computations, LSSC 2015, held in Sozopol, Bulgaria, in June 2015.

This book introduces readers to the field of seismic data interpretation and evaluation, covering themes such as petroleum exploration and high resolution seismic data.

This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples.

This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic.

This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems.

This text provides the first comprehensive treatment of the discrete fractional calculus.

Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.

This comprehensive and stimulating introduction to Matlab, a computer language now widely used for technical computing, is based on an introductory course held at Qian Weichang College, Shanghai University, in the fall of 2014.

This book highlights the current state of Lyapunov-type inequalities through a detailed analysis.

Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces.

This book constitutes the proceedings of the 8th International Conference on Similarity Search and Applications, SISAP 2015, held in Glasgow, UK, in October 2015.

This book constitutes the refereed proceedings of the Mathematical modeling of technological processes track of the 8th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2015, held in Almaty, Kazakhstan, in September 2015.

The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers.

This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A.

These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.

This book presents recent advances in the field of shape analysis.

This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces.

This book presents the state-of-the-art in supercomputer simulation.

This book provides an introduction to the basic ideas and tools used in mathematical analysis.

This monograph presents an introduction to some geometric and analytic aspects of the maximum principle.

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus.

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.

This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group.

This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis.

This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics.

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods.

This book presents an exciting collection of contributions based on the workshop "e;Bringing Maths to Life"e; held October 27-29, 2014 in Naples, Italy.

This book presents a collection of papers emphasizing applications of mathematical models and methods to real-world problems of relevance for industry, life science, environment, finance and so on.

The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium.

This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved.

Providing a step-by-step guide for the implementation of virtual manufacturing using Creo Parametric software (formerly known as Pro-Engineer), this book creates an engaging and interactive learning experience for manufacturing engineering students.

This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations.

Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools.

This book constitutes the proceedings of the 12th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2015, held in Skovde, Sweden, in September 2015.

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems.

This book presents selected papers from the 3rd International Workshop on Computational Engineering held in Stuttgart from October 6 to 10, 2014, bringing together innovative contributions from related fields with computer science and mathematics as an important technical basis among others.

This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems.

The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhauser in 1981.

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics.

Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes.

Describing a newoptimization algorithm, the Teaching-Learning-Based Optimization (TLBO), in aclear and lucid style, this book maximizes reader insights into how the TLBOalgorithm can be used to solve continuous and discrete optimization problemsinvolving single or multiple objectives.

The 30th Anniversary of the ISCIS (International Symposium on Computer and Information Sciences) series of conferences, started by Professor Erol Gelenbe at Bilkent University, Turkey, in 1986, will be held at Imperial College London on September 22-24, 2015.

The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering.