Calculus and mathematical analysis

**2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner**Introductory Differential Equations, Sixth Edition provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.

This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic, in a single volume and in a language accessible to non-mathematicians.

This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random variables, convergence theorems, laws of large numbers, and fundamental inequalities.

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

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

This book provides an introduction to the broad topic of the calculus of variations.

This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces.

Traditionally speaking, those who study the function theory of one complex variable spend little or no time thinking about several complex variables.

This book presents recent advances in data-driven global optimization methods, combining theoretical foundations with real-world applications to address complex engineering optimization challenges.

Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment.

Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment.

The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning.

The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning.

This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system.

This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces.

This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system.

Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models.

Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models.

This volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021.

This volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021.

Approximation Theory and Applications: Piecewise Linear and Generalized Functions presents the main provisions of approximation theory, and considers existing and new methods for approximating piecewise linear and generalized functions, widely used to solve problems related to mathematical modeling of systems, processes, and phenomena in fields ranging from engineering to economics.

The book includes theoretical and applied results of a generalization of the numerical method of lines.

Essential Mathematics for Economics covers mathematical topics that are essential for economic analysis in a concise but rigorous fashion.

This text provides a solid foundation for the study of advanced mathematics and covers many interesting applications of linear algebra, which show how linear algebra is essential in such diverse areas as combinatorics, differential equations, optimization, and approximation.

Based on the calculation of transition states and the identification of transition paths, this book aims to provide a comprehensive guide to understanding and simulating rare events.

This study guide is designed for students taking a Calculus I course.

The theory of almost periodic functions is a very active field of research for scholars.

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions.

New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods.

This study guide is designed for students taking a Calculus II course.

This book deals with horizontal-axis wind turbine aerodynamic performance prediction methods.

This book provides a concise and comprehensive introduction to several basic methods with more attention to their theoretical basis and applications in fluid dynamics.

Mathematical Methods for Life Sciences introduces calculus, and other key mathematical methods, to students from applied sciences (biology, biotechnology, chemistry, pharmacology, material science, etc).

This study guide is designed for students taking a Calculus II course.

This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds.

This book provides an accessible but rigorous introduction to asymptotic theory in parametric statistical models.

This book provides an accessible but rigorous introduction to asymptotic theory in parametric statistical models.

This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds.

Although computer technology has dramatically improved the analysis of complex transport phenomena, the methodology has yet to be effectively integrated into engineering curricula.

Mathematical Methods for Life Sciences introduces calculus, and other key mathematical methods, to students from applied sciences (biology, biotechnology, chemistry, pharmacology, material science, etc).

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck  theorem.