Calculus and mathematical analysis

This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically.

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces.

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics.

Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdos, Fejer, Stieltjes, and Turan.

The book is made up by several worked out problems concerning the application of reduced order modeling to different parametric partial differential equations problems with an increasing degree of complexity.

The SEM Handbook of Experimental Structural Dynamics stands as a comprehensive overview and reference for its subject, applicable to workers in research, product design and manufacture, and practice.

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics.

Dynamical Systems compiles the lectures and contributed papers read at the International Symposium on Dynamical Systems held at the University of Florida in Gainesville, Florida on March 24-26, 1976.

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics.

Multiplicative Differential Equations: Volume I is the first part of a comprehensive approach to the subject.

Multiplicative Differential Equations: Volume I is the first part of a comprehensive approach to the subject.

This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincare group.

This volume opens the world of free probability to a wide variety of readers.

The international conference entitled "e;New Trends in Approximation Theory"e; was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016.

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science.

This book provides a systematic and accessible approach to stochastic differential equations, backward stochastic differential equations, and their connection with partial differential equations, as well as the recent development of the fully nonlinear theory, including nonlinear expectation, second order backward stochastic differential equations, and path dependent partial differential equations.

This text focuses on the use of smoothing methods for developing and estimating differential equations following recent developments in functional data analysis and building on techniques described in Ramsay and Silverman (2005) Functional Data Analysis.

This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science.

This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades.

This dynamic reference work provides solutions to vital algorithmic problems for scholars, researchers, practitioners, teachers and students in fields such as computer science, mathematics, statistics, biology, economics, financial software, and medical informatics.

This book delves into the mathematical theory of causal functions over discrete time, offering a fresh perspective on causality beyond its philosophical roots.

This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities.

Using the Math Common Core 1st Grade Study Guide will help you prepare your child for their math standardized test.

Calculus and difficult have, for the long time, been synonymous.

This easy-to-digest guide on calculus begins with a thorough yet short definition of sequences.

Differential equations require a good understanding of derivatives so you can understand how they work.

Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders.

Numerical Methods for Scientists and Engineers: With Pseudocodes is designed as a primary textbook for a one-semester course on Numerical Methods for sophomore or junior-level students.

This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic.

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems.

Bessel and Mittag-Leffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional models within applied mathematics.

This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications.

In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations.

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope.

The book consists of a presentation from scratch of cycle space methodology in complex geometry.

This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements.

This book constitutes the proceedings of the 11th International Conference on Swarm Intelligence, ANTS 2018, held in Rome, Italy, in October 2018.

This two-volume set LNCS 11554 and 11555 constitutes the refereed proceedings of the 16th International Symposium on Neural Networks, ISNN 2019, held in Moscow, Russia, in July 2019.

This book constitutes the proceedings of the 6th InternationalConference on Algorithms for Computational Biology, AlCoB 2019, held in Berkeley, CA, USA, in May 2019.

This volume presents current trends in analysis and partial differential equations from researchers in developing countries.

The chapters in this contributed volume showcase current theoretical approaches in the modeling of ocular fluid dynamics in health and disease.

This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel.

This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies.

This book constitutes the proceedings of the 17th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2018, held in Groningen, The Netherlands, in October/November 2018.

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers.

This book gathers the proceedings of the 4th conference on Recent Advances in Engineering Math.

This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.

This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion.