Calculus and mathematical analysis

This book presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems-2023 (ISMAFDS - 2023), held at the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu in India during August 24-25, 2023.

Rings of Differential Operators

This textbook offers an accessible introduction to Functional Analysis, providing a solid foundation for students new to the field.

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

This book introduces a semi- analytical method, Improved Residual Power Series Method (IRPSM), for solving boundary value problems (BVPs).

A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Frechet, Banach, or Hilbert spaces (or their duals).

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation.

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.

Introduction to Qualitative Methods for Differential Equations provides an alternative approach to teaching and understanding differential equations.

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science.

Python for Mathematics introduces readers to effective methods for doing mathematics using the Python programming language.

This book contains a comprehensive collection of chapters on recent and original research, along with review articles, on mathematical modeling of dynamical systems described by various types of differential equations.

This textbook is based on lectures for a third-year course on mathematical methods in physics taught in the Department of Physics at the University of Oslo.

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 third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

This textbook offers an accessible introduction to Functional Analysis, providing a solid foundation for students new to the field.

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed.

The main themes of this book are non-Kahler complex surfaces and strongly pseudoconcave complex surfaces.

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed.

This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs).

El análisis numérico es la rama de la Matemática que estudia los métodos numéricos de resolución de problemas, esto es, los métodos que permiten obtener soluciones, que en general son aproximadas, de problemas matemáticos.

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 highlights  the critical challenge of improving the design and performance of hip implants, which are essential for enhancing patient outcomes in hip replacement surgeries.

This book outlines the modern theory of functional equations and inequalities in several variables.

This book discusses the theory and practice of random number generators that are useful for computer simulation and computer security applications.

This book discusses the theory and practice of random number generators that are useful for computer simulation and computer security applications.

This updated second edition brings the complex mathematics of three-dimensional dynamics to life with real-time simulations, making the equations easier to grasp.

This book presents the research outcomes from cooperative projects with industrial partners.

This book gathers the latest advances, innovations, and applications in the field of computational engineering, as presented by leading international researchers and engineers at the 30th International Conference on Computational & Experimental Engineering and Sciences (ICCES), held in Singapore on August 3-6, 2024.

This text contains a basic introduction to the abstract measure theory and the Lebesgue integral.

Fractional differential equations (FDEs), owing to their modeling potential in different branches of science and engineering, are attracting the attention of researchers.

This volume, which is dedicated to Yuri Karlovich on the occasion of his 75th birthday, includes biographical material, personal reminiscences, and carefully selected papers.

This book introduces a semi- analytical method, Improved Residual Power Series Method (IRPSM), for solving boundary value problems (BVPs).

Non-Newtonian Sequence Spaces with Applications presents an alternative to the usual calculus based on multiplication instead of addition.