Author : Joseph Fels Ritt
Publisher :
Page : 0 pages
File Size : 11,61 MB
Release : 1948
Category : Calculus, Integral
ISBN : 9780231915960
Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.
Author : Clemens G. Raab
Publisher : Springer Nature
Page : 303 pages
File Size : 14,70 MB
Release : 2022-06-06
Category : Computers
ISBN : 3030987671
This volume gives an up-to-date review of the subject Integration in Finite Terms. The book collects four significant texts together with an extensive bibliography and commentaries discussing these works and their impact. These texts, either out of print or never published before, are fundamental to the subject of the book. Applications in combinatorics and physics have aroused a renewed interest in this well-developed area devoted to finding solutions of differential equations and, in particular, antiderivatives, expressible in terms of classes of elementary and special functions.
Author : Godfrey Harold Hardy
Publisher :
Page : 76 pages
File Size : 30,78 MB
Release : 1905
Category : Calculus, Integral
ISBN :
Author : Manuel Bronstein
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 32,82 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 3662033860
This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.
Author : Daniel W Stroock
Publisher : World Scientific Publishing Company
Page : 160 pages
File Size : 20,74 MB
Release : 1990-03-01
Category : Science
ISBN : 9813104333
Readership: Mathematicians, physicists and engineers.
Author : Edwin Herman
Publisher :
Page : 0 pages
File Size : 29,7 MB
Release : 2016-03-30
Category : Calculus
ISBN : 9781947172838
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 49,52 MB
Release : 2008-12-15
Category : Mathematics
ISBN : 0817646795
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Author : Philip J. Davis
Publisher : Academic Press
Page : 628 pages
File Size : 36,57 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483264289
Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers.
Author : Grigoriĭ Mikhaĭlovich Fikhtengolʹt︠s︡
Publisher : M.E. Sharpe
Page : 108 pages
File Size : 15,79 MB
Release : 1973
Category : Mathematics
ISBN :
Author : Roger Godement
Publisher : Springer
Page : 535 pages
File Size : 12,73 MB
Release : 2015-04-30
Category : Mathematics
ISBN : 3319169076
Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.
