Calculus and mathematical analysis

Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry.

Elementary Real Analysis: A Practical Introduction provides a robust foundation for success in real analysis, presenting traditional material in an accessible, engaging manner with the support of clearly outlined learning objectives and exercises.

This book can serve as a first course on measure theory and measure theoretic probability for upper undergraduate and graduate students of mathematics, statistics and probability.

This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients.

This book contains chapters of the proceedings presented at the UiTM International Conference of Mathematical Sciences 2024 (UICMS 2024), organized by Universiti Teknologi MARA (UiTM), Shah Alam, Selangor, Malaysia, from October 12–13, 2024.

This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients.

The book explores the theory and applications of fractional differential equations with variable order.

This unique book gives a manageable introduction to functional analysis and a thorough treatment of real analysis.

This unique book gives a manageable introduction to functional analysis and a thorough treatment of real analysis.

The book explores the theory and applications of fractional differential equations with variable order.

Computational Fluid Dynamics: Numerical Methods and Applications offers a comprehensive exploration of computational fluid dynamics (CFD) methods, focusing on numerical techniques for solving fluid flow problems through both finite difference and finite-volume methods.

Computational Fluid Dynamics: Numerical Methods and Applications offers a comprehensive exploration of computational fluid dynamics (CFD) methods, focusing on numerical techniques for solving fluid flow problems through both finite difference and finite-volume methods.

Designing new algorithms in swarm intelligence is a complex undertaking.

Designing new algorithms in swarm intelligence is a complex undertaking.

"e;This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration.

The aim of this book is to provide a comprehensive introduction to solving large systems of equations.

This book analyzes the future temperature trend of the earth's surface using a scientific model and provides an overview of the causes and effects of climate change.

This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computational implementation.

This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computational implementation.

Measure and Integration: Examples, Concepts, and Applications instructs on core proofs, theorems, and approaches of real analysis as illustrated via compelling exercises and carefully crafted, practical examples.

"e;This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration.

Das Lehrbuch bietet einen breiten Einblick in analytische und numerische Berechnungsmöglichkeiten von Ableitungen und Integralen sowie in die Nutzung der Differential- und Integralrechnung bei der Lösung von Problemen aus den Ingenieur- und Naturwissenschaften, insbesondere aus der Geodäsie und Kartographie.

From the elegance of the Black–Scholes equation to the complexity of multi-factor interest rate models and hybrid derivatives, this book is your comprehensive guide to quantitative finance, complete with 15+ advanced C++ projects using QuantLib and Boost.

Learn to build robust, scalable financial models to position yourself as an expert in computational finance.

The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics.

This book constitutes the refereed post-conference proceedings of the 16th International Conference on Artificial Evolution, EA 2024, held in Bordeaux, France, during October 29–31, 2024.

This book constitutes the refereed post-conference proceedings of the 16th International Conference on Artificial Evolution, EA 2024, held in Bordeaux, France, during October 29–31, 2024.

Learn to build robust, scalable financial models to position yourself as an expert in computational finance.

This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames.

This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames.

The two-volume set LNCS 15744 + 15745 constitutes the proceedings of the 19th International Conference on Learning and Intelligent Optimization, LION 2025, which was held in Prague, Czech Republic, during June 15–19, 2025.

This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field.

The two-volume set LNCS 15744 + 15745 constitutes the proceedings of the 19th International Conference on Learning and Intelligent Optimization, LION 2025, which was held in Prague, Czech Republic, during June 15–19, 2025.

From the elegance of the Black–Scholes equation to the complexity of multi-factor interest rate models and hybrid derivatives, this book is your comprehensive guide to quantitative finance, complete with 15+ advanced C++ projects using QuantLib and Boost.

This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center.

This book details quantum Monte Carlo computational methods to study electroweak structure and reactions in light nuclei across a wide range of experimentally relevant kinematics.

This monograph presents state-of-the-art results at the intersection of Harmonic Analysis, Functional Analysis, Geometric Measure Theory, and Partial Differential Equations, providing tools for treating elliptic boundary value problems for systems of PDE’s in rough domains.

This volume brings together lecture notes from the two most recent editions of the EMS Summer School Mathematical Aspects of Fluid Flows, held in Kacov, Czech Republic, in May 2019 and 2024.

This book contains select chapters of proceedings presented at the Second International Conference on Mathematics and its Applications, held in Antalya, Turkey, from 9 to 13 November 2023.

The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics.

This book details quantum Monte Carlo computational methods to study electroweak structure and reactions in light nuclei across a wide range of experimentally relevant kinematics.

This unique reference work systematically presents and studies mathematical terms, sourcing literature from antiquity until the 20th century.

This book constitutes the refereed proceedings of the 8th International Conference on Optimization and Learning, OLA 2025, held in Dubai, United Arab Emirates, during April 23–25, 2025.

This textbook introduces readers to the mathematical topics fundamental for the study of economics through a combination of formal definitions, theorems, and proofs, including intuitive and easy-to-follow explanations and visualizations.

Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics.

This volume constitutes the thoroughly refereed proceedings of the 51st International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2025, which took place in Otzenhausen, Germany, during June 2025.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics.

This book provides an in-depth exploration of the latest advancements in the field of sustainable energy technologies.

This book presents a collection of recent advances in stochastic numerical analysis and computational finance.