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Author: Joseph Fels Ritt
Publisher:
Published: 1948
Total Pages: 0
ISBN-13: 9780231915960
DOWNLOAD EBOOKGives 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: Joseph Fels Ritt
Publisher:
Published: 1948
Total Pages: 120
ISBN-13:
DOWNLOAD EBOOKAuthor: Clemens G. Raab
Publisher: Springer Nature
Published: 2022-06-06
Total Pages: 303
ISBN-13: 3030987671
DOWNLOAD EBOOKThis 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: Manuel Bronstein
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 311
ISBN-13: 3662033860
DOWNLOAD EBOOKThis 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: Robert H. Risch
Publisher:
Published: 1969
Total Pages: 114
ISBN-13:
DOWNLOAD EBOOKAn elementary function is (roughly speaking) a function of a real or complex variable which can be built up using such operations as sine, exponentiation, log, 1/tan and algebraic operations. The problem of integration in finite terms asks whether we can tell, for a given elementary function, f, whether or not the integral of f is again an elementary function. If it is elementary, then one should be able to find it in a systematic manner. In this paper, the problem is formulated precisely, the underlying theory is discussed and finally the problem is solved for those elementary functions in the subclass built up without using irrational algebraic operations. (Author).
Author: Godfrey Harold Hardy
Publisher:
Published: 1905
Total Pages: 76
ISBN-13:
DOWNLOAD EBOOKAuthor: Daniel W. Stroock
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 193
ISBN-13: 1475723008
DOWNLOAD EBOOKThis little book is the outgrowth of a one semester course which I have taught for each of the past four years at M. 1. T. Although this class used to be one of the standard courses taken by essentially every first year gradu ate student of mathematics, in recent years (at least in those when I was the instructor), the clientele has shifted from first year graduate students of mathematics to more advanced graduate students in other disciplines. In fact, the majority of my students have been from departments of engi neering (especially electrical engineering) and most of the rest have been economists. Whether this state of affairs is a reflection on my teaching, the increased importance of mathematical analysis in other disciplines, the superior undergraduate preparation of students coming to M. 1. T in mathematics, or simply the lack of enthusiasm that these students have for analysis, I have preferred not to examine too closely. On the other hand, the situation did force me to do a certain amount of thinking about what constitutes an appropriate course for a group of non-mathematicians who are courageous (foolish?) enough to sign up for an introduction to in tegration theory offered by the department of mathematics. In particular, I had to figure out what to do about that vast body of material which, in standard mathematics offerings, is "assumed to have been covered in your advanced calculus course".
Author: Mohamed Jamil Baddoura
Publisher:
Published: 1994
Total Pages: 116
ISBN-13:
DOWNLOAD EBOOKAuthor: Steven G. Krantz
Publisher: Springer Science & Business Media
Published: 2008-12-15
Total Pages: 344
ISBN-13: 0817646795
DOWNLOAD EBOOKThis 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: A. C. Pipkin
Publisher: Springer Science & Business Media
Published: 1991-09-12
Total Pages: 302
ISBN-13: 9780387975573
DOWNLOAD EBOOKThis book is based on a one semester course for graduate students in physical sciences and applied mathemat- ics. Not detailed mathematical background is needed but the student should be familiar with the theory of analytic functions of a complex variable. Since the course is problem-solving rather than theorem proving, the main requirement is that the student should be willing to work out a large number of specific examples. The course is divided about equally into three parts, where the first part is mostly theoretical and the remaining two parts emphasize on problem solving.
