Calculus and mathematical analysis

This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations.

This book systematically introduces readers to the finite element analysis software DIANA (DIsplacement ANAlyzer) and its applications in civil engineering.

This book on optimization includes forewords by Michael I.

This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues.

The book provides an introduction of very recent results about the tensors and mainly focuses on the authors' work and perspective.

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry.

This book discusses unconstrained optimization with R-a free, open-source computing environment, which works on several platforms, including Windows, Linux, and macOS.

This book presents a unique fusion of two different research topics.

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations.

This book gathers original research papers and survey articles presented at the "e;International Conference on Class Groups of Number Fields and Related Topics,"e; held at Harish-Chandra Research Institute, Allahabad, India, on September 4-7, 2017.

This book is the 2nd edition of an introduction to modern computational mechanics based on the finite element method.

This book offers an essential textbook on complex analysis.

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms.

In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic mean of Fourier series.

Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics.

This book presents the basic concepts of calculus and its relevance to real-world problems, covering the standard topics in their conventional order.

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.

This book is a product of the Third International Conference on Computing, Mathematics and Statistics (iCMS2017) to be held in Langkawi in November 2017.

This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines.

Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology.

This book deals with topics on the theory of measure and integration.

The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s.

This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh-Fourier series).

This book develops the concepts of various unique optimization techniques in the crisp and fuzzy environment.

This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes.

This book presents the development of an optimization platform for geotechnical engineering, which is one of the key components in smart geotechnics.

This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications.

This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations.

This is the first book on the subject of the periodic unfolding method (originally called "e;eclatement periodique"e; in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's.

This book seeks to bridge the gap between statistics and computer science.

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations.

This is the second volume of the two-volume book on real and complex analysis.

This is the first monograph that discusses in detail the interactions between Fourier analysis and dynamic economic theories, in particular, business cycles.

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications.

This book contains manuscripts of topics related to numerical modeling in Civil Engineering (Volume 1) as part of the proceedings of the 1st International Conference on Numerical Modeling in Engineering (NME 2018), which was held in the city of Ghent, Belgium.

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the proceedings of the 1st International Conference on Numerical Modeling in Engineering (NME 2018), which was held in Ghent, Belgium.

This book is a blend of recent developments in theoretical and computational aspects of group theory.

This book systematically analyses the latest insights into night vision imaging processing and perceptual understanding as well as related theories and methods.

This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped.

This book focuses on Erdelyi-Kober fractional calculus from a statistical perspective inspired by solar neutrino physics.

This is the first volume of the two-volume book on real and complex analysis.

This book is a collection of invited and reviewed chapters on state-of-the-art developments in interdisciplinary mathematics.

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry.

These proceedings gather a selection of peer-reviewed papers presented at the 7th International Conference on Fracture Fatigue and Wear (FFW 2018), held at Ghent University, Belgium on 9-10 July 2018.

This book presents the basic concepts of functional analysis, wavelet analysis and thresholding.

This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations.

This book is concerned with functional methods (nonlinear semigroups of contractions, nonlinear m-accretive operators and variational techniques) in the theory of nonlinear partial differential equations of elliptic and parabolic type.

This volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing.

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books.

This book describes the theories and developments in Nevanlinna theory and Diophantine approximation.