Calculus and mathematical analysis

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems.

This textbook presents the essential tools and core concepts of data science to public officials, policy analysts, and economists among others in order to further their application in the public sector.

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook.

This book constitutes the proceedings of the 18th IFIP WG 10.

Das vorliegende Lehrbuch enthält eine kompakte, in Vorlesungen erprobte Einführung in diese moderne Sichtweise der GDGn, wobei der klassische Stoff nicht vernachlässigt wird.

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role.

This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly.

This book constitutes the thoroughly refereed post-workshop proceedings of the 14th International Workshop on Approximation and Online Algorithms, WAOA 2016, held in Aarhus, Denmark, in August 2016 as part of ALGO 2016.

This volume comprises the latest developments in both fundamental science and patient-specific applications, discussing topics such as: cellular mechanics, injury biomechanics, biomechanics of the heart and vascular system, algorithms of computational biomechanics for medical image analysis, and both patient-specific fluid dynamics and solid mechanics simulations.

This book integrates analytical and digital solutions through Alternative Transients Program (ATP) software, recognized for its use all over the world in academia and in the electric power industry, utilizing a didactic approach appropriate for graduate students and industry professionals alike.

This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE).

Polynomials are useful mathematical tools.

This volume features recent development and techniques in evolution equations by renown experts in the field.

This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering.

This book constitutes the refereed post proceedings of the16th International Symposium, SCAN 2014, held in Wurzburg, Germany, in September 2014.

Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.

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 26th International Conference on Computational & Experimental Engineering and Sciences (ICCES), held in Phuket, Thailand on January 6-10, 2021.

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years.

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes.

This study guide is designed for students taking courses in differential equations.

This book constitutes revised selected papers of the 19th International Conference on Information Technologies and Mathematical Modelling, ITMM 2020, named after A.

This book presents the refereed proceedings of the Twelfth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at Stanford University (California) in August 2016.

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017.

This book is about the rise and supposed fall of the mean value theorem.

The contributions gathered here provide an overview of current research projects and selected software products of the Fraunhofer Institute for Algorithms and Scientific Computing SCAI.

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.

This book consists of contributions from the participants of the Abel Symposium 2019 held in Alesund, Norway.

This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method.

The development of cognitive models is a key step in the challenging research program to advance our understanding of human cognition and behavior.

The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators  on Kahler manifolds, via examples, worked out carefully and in detail.

This concise text provides a gentle introduction to functional analysis.

This second edition provides a thorough introduction to contemporary convex function theory with many new results.

This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields.

This volume constitutes the thoroughly refereed proceedings of the 24th IFIP WG 1.

This book provides a  concise introduction to convex duality in financial mathematics.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

This book contains revised and extended versions of selected papers from the 6th International Conference on Pattern Recognition, ICPRAM 2017, held in Porto, Portugal, in February 2017.

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis.

This book introduces random currents by presenting underlying mathematical methods necessary for applications.

This book constitutes the thoroughly refereed post-conference proceedings of the Third International Conference on High Performance Computing in Science and Engineering, HPCSE 2017, held in Karolinka, Czech Republic, in May 2017.

This book constitutes the refereed proceedings of the 14th Conference on Computability in Europe, CiE 2018, held in Kiel, Germany, in July/ August 2017.

This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet.

This book covers two essential PDE-based image processing fields: image denoising and image inpainting.

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The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system.

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds.

This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces.

This book contains three well-written research tutorials that inform the graduate reader about the forefront of current research in multi-agent optimization.

This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral.

This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily.