Calculus and mathematical analysis

The subject of partial differential equations holds an exciting and special position in mathematics.

From the point of view of strict logic, a rigorous course on real analysis should precede a course on calculus.

In nature's infinite book ofsecrecy A little I can read.

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Many problems in operator theory lead to the consideration ofoperator equa- tions, either directly or via some reformulation.

Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course.

James Stirling's "e;Methodus Differentialis"e; is one of the early classics of numerical analysis.

Many phenomena in the physical and biological sciences involve the collective behaviour of (very large) numbers of individual objects.

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From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research.

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

The book provides a self-contained and complete description of the long time evolution of the solutions to a class of one-dimensional reaction-diffusion equations, in which the diffusion is given by an integral operator.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.

This book comprehensively explores the foundations of quasiconformal mappings in the complex plane, especially in view of applications to complex dynamics.

This book provides a novel and unifying perspective on the structural properties of fair solutions in optimization formulations.

The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "e;Modern Problems in PDEs and Applications"e; held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023.

This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ?

The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "e;Modern Problems in PDEs and Applications"e; held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023.

This textbook provides an introduction to the mathematical methods used to analyse deterministic models in life sciences, including population dynamics, epidemiology and ecology.

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 is devoted to the least gradient problem and its variants.

This book, Differential Geometry: Advanced Topics in CR and Pseudohermitian Geometry (Book I-D), is the fourth in a series of four books presenting a choice of advanced topics in Cauchy–Riemann (CR) and pseudohermitian geometry, such as Fefferman metrics, global behavior of tangential CR equations, Rossi spheres, the CR Yamabe problem on a CR manifold-with-boundary, Jacobi fields of the Tanaka–Webster connection, the theory of CR immersions versus Lorentzian geometry.

This book treats the micromechanics of laminae, i.

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderon problem.

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 in a constructive manner a general framework for regression and fitting methods for many applications and tasks involving data on manifolds.

This book is devoted to the least gradient problem and its variants.

The content of the book collects some contributions related to the talks presented during the INdAM Workshop "e;Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers"e;, held in Rome, Italy, on July 12-14, 2021.

This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory.

This volume IFIP AICT 693 constitutes the refereed proceedings of the 10th IFIP International Workshop on Artificial Intelligence for Knowledge Management, AI4KMES 2023, from September 30th - October 1st, 2023, held in Krakow, Poland.

This book is a tribute to the achievements of Ilya Spitkovsky in operator theory, pseudo-differential and integral equations, factorization theory and many other related topics.

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 are notes prepared for the PhD courses that the author has been teaching during the last 10 years.

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 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 provides a systematic introduction to composite materials, which are obtained by a layer-wise stacking of one-dimensional bar/beam elements.

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.

This book are notes prepared for the PhD courses that the author has been teaching during the last 10 years.

This book collects selected, peer-reviewed research presented at the 8th International Conference on Mathematics: Pure, Applied, and Computation, held in Lombok, Indonesia, on 30 September 2023.

This volume IFIP AICT 693 constitutes the refereed proceedings of the 10th IFIP International Workshop on Artificial Intelligence for Knowledge Management, AI4KMES 2023, from September 30th - October 1st, 2023, held in Krakow, Poland.

This book provides the dynamics of non-equilibrium dissipative systems with asymmetric interactions (Asymmetric Dissipative System; ADS).

The focus from most Virtual Reality (VR) systems lies mainly on the visual immersion of the user.

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics.

Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation.

An extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics.

This book offers a modern way of dealing with the problems of equilibrium states of Bose systems.

The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level.

The finite element method is often used for numerical computation in the applied sciences.

Computational Optimization of Internal Combustion Engines presents the state of the art of computational models and optimization methods for internal combustion engine development using multi-dimensional computational fluid dynamics (CFD) tools and genetic algorithms.