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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: 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: Godfrey Harold Hardy
Publisher:
Published: 1905
Total Pages: 76
ISBN-13:
DOWNLOAD EBOOKAuthor: John Fitch
Publisher: Springer Science & Business Media
Published: 1984-06
Total Pages: 412
ISBN-13: 9783540133506
DOWNLOAD EBOOKAuthor: Society for Industrial and Applied Mathematics
Publisher:
Published: 1989
Total Pages: 692
ISBN-13:
DOWNLOAD EBOOKAuthor: Sandeep Singh
Publisher: Springer Nature
Published: 2023-01-16
Total Pages: 242
ISBN-13: 3031190823
DOWNLOAD EBOOKThe chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific topics covered include maximal rotational hypersurfaces, k-Horadam sequences, quantum dynamical semigroups, and more. Additionally, several applications of algebraic number theory and analysis are presented. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
Author: Sheldon Axler
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 266
ISBN-13: 1475781377
DOWNLOAD EBOOKThis book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Author: Manuel Kauers
Publisher: Springer
Published: 2007-08-15
Total Pages: 418
ISBN-13: 3540730869
DOWNLOAD EBOOKThis book constitutes the refereed proceedings of the 6th International Conference on Mathematical Knowledge Management, MKM 2007, and the 14th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2006, held in Hagenberg, Austria in June 2007 as events of the RISC Summer 2007, organized by the Research Institute for Symbolic Computation.
Author: Bruno Buchberger
Publisher: Springer Science & Business Media
Published: 1985
Total Pages: 244
ISBN-13: 9783540159834
DOWNLOAD EBOOKAuthor: Benjamin Fine
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 220
ISBN-13: 1461219280
DOWNLOAD EBOOKThe fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
