Calculus and mathematical analysis

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

This book presents a unified treatise of the theory of measure and integration.

This book discusses the theory of wavelets on local fields of positive characteristic.

Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations.

This book is a collection of lecture notes for the LIASFMA Hangzhou Autumn School on 'Control and Inverse Problems for Partial Differential Equations' which was held during October 17-22, 2016 at Zhejiang University, Hangzhou, China.

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

This proceedings gather a selection of peer-reviewed papers presented at the 9th International Conference on Fracture Fatigue and Wear (FFW 2021), held  in the city of Ghent, Belgium on 2-3 August 2021.

Machine learning heavily relies on optimization algorithms to solve its learning models.

The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics.

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed.

This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences.

This book is intended to provide a compilation of the state-of-the-art numerical methods for nonlinear fluid-structure interaction using the moving boundary Lagrangian-Eulerian formulation.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method.

The goal of this book is to present Stochastic Calculus at an introductory level and not at its maximum mathematical detail.

This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind.

The aim of this book is to extend the application field of 'anomalous diffusion', and describe the newly built models and the simulation techniques to the models.

This book is a monograph on harmonic analysis and fractal analysis over local fields.

This book is for students in a first course in ordinary differential equations.

This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis.

This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators.

Our book gives the complex counterpart of Klein's classic book on the icosahedron.

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

This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set.

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 investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schrodinger and Korteweg-de Vries equations.

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 4th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on 24-25 August 2021.

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis.

The "e;Hyperboloidal Foliation Method"e; introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces.

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

This monograph contains the author's work of the last four years in discrete and fractional analysis.

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

This book gathers a selection of peer-reviewed papers presented at the 10th International Conference on Fracture Fatigue and Wear (FFW 2022), held  in the city of Ghent, Belgium, on August 2-3, 2022.

'It is a great book for a first year (US) graduate student.

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

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

This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China.

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This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.

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

The book presents select proceedings of Global meet on 'Computational Modelling and Simulation, Recent Innovations, Challenges and Perspectives, 2020.

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

Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations.

The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics.

This book discusses all the major topics of complex analysis, beginning with the properties of complex numbers and ending with the proofs of the fundamental principles of conformal mappings.

This book investigates in detail the deep learning (DL) techniques in electromagnetic (EM) near-field scattering problems, assessing its potential to replace traditional numerical solvers in real-time forecast scenarios.

This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been presented in other books on conventional fields.

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

This review volume, co-edited by Nobel laureate G Ertl, provides a broad overview on current studies in the understanding of design and control of complex chemical systems of various origins, on scales ranging from single molecules and nano-phenomena to macroscopic chemical reactors.