Calculus Books

This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.

This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential...

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 Learning-by-Doing Approach can be traced back to Aristotle who wrote "For the things we have to...

Presents recent development and research in the theory of the measure of noncompactness and its applications in pure and applied mathematics. Discusses topics such as measures of noncompactness in the space of regulated functions, application in...

This self-contained title demonstrates an important interplay between abstract and concrete operator theory. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and...

La Logistique: Ou Arithm�����tique Fran�����aise (1690) est un livre �����crit par Matthieu Famuel. Il s'agit d'un ouvrage sur la logistique et l'arithm�����tique, qui a �����t����� publi����� en France en 1690. Le livre traite de l'organisation et de la...

""Introductiones Ad Veram Physicam Et Veram Astronomiam: Quibus Accedunt Trigonometria"" est liber scriptus a Joanne Keill anno MDCCXXXIX. In hoc libro auctor introductiones ad physicam et astronomiam veras exhibet, cum explicationibus de principiis...

The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant...

The aim of this work is to present several topics in time-frequency analysis as subjects in abelian group theory. The algebraic point of view pre­ dominates as questions of convergence are not considered. Our approach ...

Operations Research: 1934-1941," 35, 1, 143-152; "British The goal of the Encyclopedia of Operations Research and Operational Research in World War II," 35, 3, 453-470; Management Science is to provide to decision makers and "U...

The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay...

Boundary value problems which have variational expressions in form of inequal­ ities can be divided into two main classes. The class of boundary value prob­ lems (BVPs) leading to variational inequalities and the class of BVPs...

-1. Chebyshev Sets, Klee Sets, and Chebyshev Centers with respect to Bregman Distances: Recent Results and Open Problems (H. Bauschke, M. Macklem, S.X. Wang). -2. Self-dual Smooth Approximations of Convex Functions via the Proximal Average (H. Bauschke,...

This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at...

""A Concise Introduction To Practical Arithmetic: In Which All The Rules That Occur In Common Business Are Applied To The Federal Currency"" is a book written by Samuel Temple in 1825. The book provides a comprehensive guide to arithmetic, specifically...

One Thousand Algebraical Tests is a book written by Thomas S. Cayzer and published in 1864. The book is specifically designed for examination purposes, but it is also suitable for general use in schools. The algebraic tests in the book are arranged in a...

""Introduction to the Calculus of Variations"" is a book written by William Elwood Byerly and first published in 1917. The book is a comprehensive introduction to the study of calculus of variations, which is a branch of mathematics that deals with...

Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and...

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional...

Libellus ""Calculus Eclipsis Solis Observatae Die 19 Novembris 1816 Cui Accedunt: Elementa Eclipsium Quas Patitur Tellus, Luna Eam Inter Et Solem Versante"" auctore Hallaschka, Cassiano, anno 1820 editus est. In hoc libro, autor de observatione eclipsis...

Le livre ""Trait����� des fonctions elliptiques et de leurs applications, partie 3 (1891)"" de Halphen, Georges Henri est un ouvrage de r�����f�����rence en math�����matiques. Il s'agit d'une continuation des deux premi�����res parties du trait�����,...

Le Trait����� d'Analyse V7: Calcul Int�����gral (1891) de Laurent, Hermann est un livre qui traite du calcul int�����gral en math�����matiques. Il s'agit d'un ouvrage de r�����f�����rence pour les �����tudiants et les professionnels de la discipline. Le...

Theory of Differential Equations V3, Part 2: Ordinary Equations, Not Linear (1900) is a mathematical text written by Andrew Russell Forsyth. This book is the third volume of a series that focuses on the theory of differential equations. Part 2 of this...

Le livre ""Le�����ons sur les coordonn�����es curvilignes et leurs diverses applications"" �����crit par Gabriel Lame en 1859 est un ouvrage de r�����f�����rence en math�����matiques. L'auteur y explique les coordonn�����es curvilignes et leurs...

Le livre ""Le�����ons sur les syst�����mes orthogonaux et les coordonn�����es curvilignes V1 (1898)"" de Gaston Darboux est un ouvrage de math�����matiques qui traite des syst�����mes de coordonn�����es curvilignes et orthogonaux. Dans ce premier volume,...

Le livre ""De L'Analyse Infinitesimale"" �����crit par Charles de Freycinet en 1860 est un ouvrage qui explore les concepts de l'analyse math�����matique. L'auteur aborde les th�����ories de l'analyse infinit�����simale, qui traite de la limite et de la...

The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines is a mathematical treatise written by the renowned physicist and mathematician, Sir Isaac Newton. Originally published in 1736, the book is a comprehensive...

The Integral Calculus: On The Integration Of The Powers Of Transcendental Functions, New Methods And Theorems (1919) is a book written by James Ballantyne. The book is focused on the integration of transcendental functions and introduces new methods and...

These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role...

Pseudodifferential methods are central to the study of partial differential equations, because they permit an "algebraization." The main purpose of this book is to set up an operational calculus for operators defined from...

This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer's works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and...

In topological measure theory, Radon measures are the most important objects. In the context of locally compact spaces, there are two equivalent canonical definitions. As a set function, a Radon measure is an inner compact...

From the reviews: "Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily...

About twenty-three hundred years ago Euclid brought together all of the mathematics of his time as a deductive system into thirteen books called The Elements. So too I have brought together all of the primary mathematics and science of modern time into...

The area of adaptive systems, which encompasses recursive identification, adaptive control, filtering, and signal processing, has been one of the most active areas of the past decade. Since adaptive controllers are ...

This book may be regarded as consisting of two parts. In Chapters I-IV we pre­ sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for...

Shortly after the end of World War II high-speed digital computing machines were being developed. It was clear that the mathematical aspects of com­ putation needed to be reexamined in order to make efficient use of high-speed...

Dieses Buch stellt ein Meisterwerk der mathematischen Theorie dar und ist ideal für alle, die sich für Arbeiten zur Variationsrechnung in der Mathematik interessieren. Es geht um die Grundlagen der Variationsrechnung, die Grenzen der Methode und ihre...

This book provides a comprehensive introduction to the differential and integral calculus. Written by mathematician William F. Osgood, it covers topics such as derivatives, integrals, limits, and series. With clear explanations and a wealth of examples...

Dieses Buch bietet eine umfassende Darstellung der Theorie der bestimmten Integrale. Die Autoren, Gustav Ferdinand Meyer und Peter Gustav Lejeune Dirichlet, behandeln das Thema detailliert und gründlich. Von den mathematischen Grundlagen bis hin zu...

In this comprehensive mathematical treatise, Jackman explores the complex patterns and relationships that underlie numerical series and the binomial theorem. With clear explanations and rigorous proofs, this book is an essential resource for anyone...

This monograph presents the author's original research on regularity properties of solutions to multiple integral problems in the calculus of variations. The results have applications in the study of partial differential equations, geometric measure...

This detailed mathematical text provides an in-depth exploration of the integral calculus, including new methods and theorems and their application in the calculation of Bernoullian numbers and the rectification of the logarithmic curve. Written by James...

With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system's control Lyapunov function (clf) aiming at its minimization...

This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory and feedback...

Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems...