Calculus and mathematical analysis Books

This book includes research studies, novel theory, as well as new methodology and applications in mathematics and management sciences. The book will provide a comprehensive range of mathematics...

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics,...

Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include...

Introduction to Computational Engineering with MATLAB® aims to teach readers how to use MATLAB programming to solve numerical engineering problems. The book focuses on computational engineering with...

This new edition covers a wide area from transients in power systems—including the basic theory, analytical calculations, EMTP simulations, computations by numerical electromagnetic analysis methods,...

Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and...

This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference...

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding...

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding...

This monograph provides a comprehensive mathematical framework for modeling heavy metal transport in soil. Drawing on advection-diffusion equations, exponential decay models, and advanced numerical...

Fractional calculus is one of the most important divisions of theoretical and applied mathematics. This new book presents a wide variety of interesting technologies and practices used in fractional...

Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization...

Readers may question why non-Newtonian calculus should be used when Newtonian calculus is already available and many scientists are familiar with it. Alpha Calculus attempts to answer this question...

Kirchhoff Equations: A Variational Approach is primarily focused on recent results concerning existence, multiplicity and the asymptotic behaviour of solutions to some stationary Kirchhoff problems,...

The best way to learn the physical sciences and mathematics is to dive in and start solving problems. With this in mind, Solved Problems in Applied Mechanics of Solids offers a large number of...

This book is an ambitious but optimistic treatment of the subject of topology. Not only does Elements of Topology: Theory and Practice, Second Edition treat the standard basic material on point-set...

This book offers a rigorous, comprehensive, and modern presentation of the most traditional concepts in measure theory and integration. Building on the classical foundations, it introduces the theory...

Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization...

This book is based on lecture materials originally developed by Harald E. Krogstad for the MSc course Mathematical Modelling at the Norwegian University of Science and Technology (NTNU) and later...

This book is based on lecture materials originally developed by Harald E. Krogstad for the MSc course Mathematical Modelling at the Norwegian University of Science and Technology (NTNU) and later...

This book provides a concise account of four components of regression and smoothing methods: linear regression, generalized linear models, spline and kernel methods, and generalized linear mixed...

Few other books purport to be a second course in complex analysis. This book differs in that it covers more modern topics and is more geometric in focus. Most texts on complex variable theory contain...

This book explores how deep learning enhances statistical methods for hypothesis testing, point estimation, optimization, interpretation, and other aspects. It uniquely demonstrates leveraging deep...

This book explores how deep learning enhances statistical methods for hypothesis testing, point estimation, optimization, interpretation, and other aspects. It uniquely demonstrates leveraging deep...

The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools. Classical inequalities...

This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of “roughness” and its applications in complex systems. It demonstrates how fractional calculus offers...

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.Since many topics in nonlinear analysis...

Magnetic resonance imaging (MRI) remains one of the most versatile and powerful diagnostic tools in modern medicine, yet its underlying physics and mathematics form a subtle and elegant synthesis of...

Representation Theory and C*-algebras is devoted to the representation theory of solvable Lie groups and the associated non-commutative harmonic analysis including the study of C*-algebras. It...

Game theory systems can be seen as players working together or competing to achieve goals. GPT Meets Game Theory explores a new way to understand and employ neural networks through the lens of game...

Game theory systems can be seen as players working together or competing to achieve goals. GPT Meets Game Theory explores a new way to understand and employ neural networks through the lens of game...

This book is written to innovate the standard course and to modernize it. There has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the...

Magnetic resonance imaging (MRI) remains one of the most versatile and powerful diagnostic tools in modern medicine, yet its underlying physics and mathematics form a subtle and elegant synthesis of...

The book explores the theory and applications of fractional differential equations with variable order. It delves into the mathematical foundations, including notations, definitions, and key...

A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.The text is pragmatically structured...

Darboux Transformation of Nonlinear Schrödinger Equations: A Guide and a Tutorial is an easy to follow guide for the application of the Darboux transformation (DT) to the nonlinear Schrödinger...

A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.The text is pragmatically structured...

Computational Fluid Dynamics: Numerical Methods and Applications offers a comprehensive exploration of computational fluid dynamics (CFD) methods, focusing on numerical techniques for solving fluid...

Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the...

Math Affinity Puzzles highlights the patterns and relationships that appear throughout mathematics. Rather than treating mathematics as a collection of separate topics or isolated courses, the...

This book presents the main tools for investigations of the existence and uniqueness, as well as the existence, of multiple solutions for initial—and boundary—value problems for fuzzy impulsive...

Computer-Aided Structural Analysis offers a novel and comprehensive approach to teaching advanced structural analysis using computer programming, specifically through MATLAB®. By focusing on...

This book provides systematic guidance and theoretical basis for control theories and applications of fractional-order control systems. Control for Fractional-Order Systems and Fractional-Order...

Praise for the previous edition“I highly recommend the book, especially for the curious graduate student."—Joe Coyle, Mathematical ReviewsFinite Element Methods for Eigenvalue Problems covers finite...

As power systems increasingly operate under stressed conditions, computer simulation will play a large role in control and security assessment. Commercial packages routinely fail or give erroneous...

Limits and Derivatives of Real Functions for Physicists offers a comprehensive and rigorous exploration of essential calculus concepts, specifically tailored for physics majors.This book provides an...

This book provides a thorough exploration of the latest innovations in AI for general time series analysis, distribution shift and foundation models. It offers an in-depth look at cutting-edge...

In The Mind of Complex Numbers and the Subject in Analyses, Raul Moncayo uses the complex plane to evaluate analytic outcomes. Moncayo’s approach provides a study of the process and outcomes of...