Calculus Books

This IMA Volume in Mathematics and its Applications NEW DIRECTIONS IN TIME SERIES ANALYSIS, PART II is based on the proceedings of the IMA summer program "New Directions in Time Series Analysis. " We are grateful to David...

In recent years considerable interest has been focused on nonlinear diffu­ sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is...

The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe­ maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups,...

This IMA Volume in Mathematics and its Applications STOCHASTIC DIFFERENTIAL SYSTEMS, STOCHASTIC CONTROL THEORY AND APPLICATIONS is the proceedings of a workshop which was an integral part of the 1986-87 IMA program on ...

This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on...

An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to...

The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception...

Over the past several years, cooperative control and optimization has un­ questionably been established as one of the most important areas of research in the military sciences. Even so, cooperative control and optimization...

Line and hyperplane location problems play an important role not only in operations research and location theory, but also in computational geometry and robust statistics. This book provides a survey on line and hyperplane...

Modeling, Control And Optimization Of Complex Systems is a collection of contributions from leading international researchers in the fields of dynamic systems, control theory, and modeling. These papers were presented at the...

The field of global optimization has been developing at a rapid pace. There is a journal devoted to the topic, as well as many publications and notable books discussing various aspects of global optimization. This book is...

Semi-infinite optimization is a vivid field of active research. Recently semi­ infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the...

When analyzing systems with a large number of parameters, the dimen­ sion of the original system may present insurmountable difficulties for the analysis. It may then be convenient to reformulate the original system in terms of...

Stochastic Recursive Algorithms for Optimization presents algorithms for constrained and unconstrained optimization and for reinforcement learning. Efficient perturbation approaches form a thread unifying all the algorithms considered. Simultaneous...

Stochastic Averaging and Extremum Seeking treats methods inspired by attempts to understand the seemingly non-mathematical question of bacterial chemotaxis and their application in other environments. The text presents...

Congestion Control in Data Transmission Networks details the modeling and control of data traffic in communication networks. It shows how various networking phenomena can be represented in a consistent mathematical framework...

The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century. First of all, this is due to the fact that the mathematical applications raised the investigations...

Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, ...

Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally...

Calculus Reform. Or, as many would prefer, calculus renewal. These are terms that, for better or worse, have become a part of the vocabulary in mathematics departments across the country. The movement to change the nature of...

Providing the first comprehensive treatment of the subject, this groundbreaking work is solidly founded on a decade of concentrated research, some of which is published here for the first time, as well as practical,...

For many years, I have been interested in global analysis of nonlinear systems. The original interest stemmed from the study of snap-through stability and jump phenomena in structures. For systems of this kind, where there...

Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc. which make it worthwhile...

This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational...

For the most part the authors are concerned with SLn(R) and with invariant differential operators, the invarinace being with respect to various subgroups. To a large extent, this book carries out the general results of...

- 1. Qamrul Hasan Ansari and Jen-Chih Yao, Systems of Vector Quasi-Equilibrium Problems and their Applications.- 2. Michael McAsey and Libin Mou, Properties of Derivates and Some Applications.- 3. Robert Baier, Elza Farkhi and Vera Roshchina, On...

Originally published in the Soviet Union, this text is meant for students of higher schools and deals with the most important sections of mathematics - differential equations and the calculus of variations.The first part describes the theory of...

 Calculus is the first subject that broke the conventional rules of mathematics and It was the first achievement of modern mathematics. This is one of the powerful tools found by Sir Isaac Newton which is used in so many applications. But the way to...

In The Calculus of Imaginaries, Gerard Grealish explores in poetry not only the elusive and transitory aspects of the physical world, but also our misperceptions of what “reality” is and the ramifications of discovering that it is otherwise,...

""Die Theorie der Ebenen Kurven: Dritter Ordnung"" ist ein Buch von Heinrich Schroeter, das im Jahr 1888 ver������ffentlicht wurde. Das Buch behandelt die Theorie der ebenen Kurven dritter Ordnung und enth�����lt eine eingehende Untersuchung der...

""Calcolo Delle Variazioni E Calcolo Delle Differenze Finite, Parte 3: Del Calcolo Infinitesimale"" ����� un libro scritto da Ernesto Pascal e pubblicato nel 1897. Questo testo si concentra sull'approfondimento del calcolo infinitesimale, una branca...

Das Buch ""Briot und Bouquet's: Theorie der doppelt-periodischen Funktionen und insbesondere der elliptischen Transzendenten (1862)"" von Hermann Fischer ist eine umfassende Abhandlung �����ber die Theorie der doppelt-periodischen Funktionen und...

""Betrachtungen �����ber die Theorie der Infinitesimalrechnung"" ist ein Buch von Lazare Nicolas Marguerite Carnot, das im Jahr 1800 ver������ffentlicht wurde. Das Werk behandelt die Theorie der Infinitesimalrechnung, die eine wichtige Rolle in der...

""Beitr�����ge zur Theorie der Maxima und Minima der einfachen Integrale"" ist ein Buch von Adolph Mayer, das im Jahr 1866 ver������ffentlicht wurde. In diesem Buch besch�����ftigt sich Mayer mit der Theorie der Extremwerte von einfachen Integralen. Er...

""�����l�����ments de la th�����orie des d�����terminants"" (1883) de Dostor, G. est un livre qui traite de la th�����orie des d�����terminants en math�����matiques. Le livre explore les propri�����t�����s des d�����terminants, y compris leur calcul,...

Le livre ""Elements D'Analyse Mathematique"" �����crit par Paul Appell en 1898 est un ouvrage de r�����f�����rence en math�����matiques. Il s'agit d'un manuel d'analyse math�����matique qui couvre diff�����rents sujets tels que la th�����orie des...

""El�����ments de Calcul Approximatif"" est un livre �����crit en 1887 par Charles Ruchonnet. Cet ouvrage est un trait����� sur les m�����thodes de calcul approximatif, destin����� aux �����tudiants et aux professionnels de l'�����poque. Il pr�����sente...

Das ""�����bungsbuch zum Studium der h������heren Analysis V2: Aufgaben aus der Differentialrechnung"" wurde im Jahr 1900 von Oskar Schlomilch ver������ffentlicht. Es handelt sich um ein Arbeitsbuch, das speziell f�����r Studenten der h������heren...

""�����bungen aus der angewandten Mathematik V1"" ist ein Buch von Ephraim Salomon Unger, das erstmals im Jahr 1830 ver������ffentlicht wurde. Es handelt sich um eine Sammlung von �����bungen und Aufgaben aus verschiedenen Bereichen der angewandten...

Das Buch ""�����bersicht der Theorie der elliptischen Funktionen"" wurde im Jahr 1863 von Hermite, Charles ver������ffentlicht. Es handelt sich um eine umfassende Darstellung der Theorie der elliptischen Funktionen, die zu dieser Zeit ein wichtiger...

Le livre ""Recueil Compl�����mentaire D'Exercises Sur Le Calcul Infinit�����simal (1877)"" de Tisserand, Fran�����ois est un recueil d'exercices suppl�����mentaires sur le calcul infinit�����simal. Il a �����t����� publi����� en 1877 et est destin�����...

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional...

this monographis based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually...

A step-by-step guide to calculus featuring practice questions and exercises to help people improve their understanding of the mathematical study of change.First published in 1945, this edition of J. E. Thompson's Calculus for the Practical Man is the...

This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses.

Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents ...