Calculus and mathematical analysis

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

In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.

This book presents theoretical modeling and numerical simulations applied to drive several applications towards Industrial Revolution 4.

This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces.

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.

Numerical Methods for Engineering and Data Science guides students in implementing numerical methods in engineering and in assessing their limitations and accuracy, particularly using algorithms from the field of machine learning.

This book is intended for university seniors and graduate students majoring in probability theory or mathematical finance.

This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels.

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications.

This book collects papers on major topics in fixed point theory and its applications.

The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena.

This book's aim is to study the mathematical and computational models to analyze the progress, prognosis, prevention, and panacea of breast cancer.

This book presents the relationship between classical theta functions and knots.

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

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations.

This book offers a compact primer on advanced numerical flux functions in computational fluid dynamics (CFD).

This book focuses on the implementation, evaluation and application of DNA/RNA-based genetic algorithms in connection with neural network modeling, fuzzy control, the Q-learning algorithm and CNN deep learning classifier.

'This is a book to be read and worked with.

Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).

This is the first textbook-type presentation of tropical value distribution theory.

This book highlights latest advancement in Mathematics, Physics and Chemistry.

This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis.

The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative [Jackson (1910)] to make it applicable to dense domains.

Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is NOT yet part of university teaching curricula.

This book serves as a textbook in real analysis.

Some problems in mathematical analysis (e.

This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis.

The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view.

This volume is on initial-boundary value problems for parabolic partial differential equations of second 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.

The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series.

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

'This text shows that the study of the almost-forgotten, non-Archimedean mathematics deserves to be utilized more intently in a variety of fields within the larger domain of applied mathematics.

This book belongs to the subject of control and systems theory.

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.