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# Topic: Series (mathematics)

###### In the News (Tue 18 Jun 19)

 Encyclopedia: Series (mathematics)   (Site not responding. Last check: 2007-11-07) In mathematics, a series is often represented as the sum of a sequence of terms. Series may be finite, or infinite; in the first case they may be handled with elementary algebra, but infinite series require tools from mathematical analysis if they are to be applied in anything more than a tentative way. In mathematics, a series is the sum of a sequence of terms. www.nationmaster.com /encyclopedia/Series-(mathematics)   (675 words)

 Series (mathematics) - Wikipedia, the free encyclopedia Fourier series were being investigated as the result of physical considerations at the same time that Gauss, Abel, and Cauchy were working out the theory of infinite series. Series for the expansion of sines and cosines, of multiple arcs in powers of the sine and cosine of the arc had been treated by Jakob Bernoulli (1702) and his brother Johann Bernoulli (1701) and still earlier by Viète. Formal power series are also used in combinatorics to describe and study sequences that are otherwise difficult to handle; this is the method of generating functions. en.wikipedia.org /wiki/Series_(mathematics)   (1793 words)

 Series (mathematics) In mathematics, a series is a sum of a sequence of termss. Series for the expansion of sines and cosines, of multiple arcs in powers of the sine and cosine of the arc had been treated by Jakob Bernoulli (1702) and his brother Johann (1701) and still earlier by Viète. The harmonic series is the series 1 + 1/2 + 1/3 + 1/4 + 1/5... www.brainyencyclopedia.com /encyclopedia/s/se/series__mathematics_.html   (1534 words)

 Harmonic series (mathematics) - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-07) In mathematics, the harmonic series is the infinite series (This proof, due to Nicole Oresme, is a high point of medieval mathematics.) Even the sum of the reciprocals of the prime numbers diverges to infinity (although that is much harder to prove; see proof that the sum of the reciprocals of the primes diverges). This is a consequence of the Taylor series of the natural logarithm. en.wikipedia.org /wiki/Harmonic_series_(mathematics)   (309 words)

 AllRefer.com - series (Mathematics) - Encyclopedia An infinite series is a sum of infinitely many terms, e.g., the infinite series 1/2 + 1/4 + 1/8 + 1/16 + …. Some infinite series converge to a certain value called its limit; i.e., as one adds together progressively more terms, these sums (called the partial sums of the series) form a sequence of values that progressively approach the limit. Such a series is 1/2 + 1/3 + 1/4 + …, for even though the terms become very small, enough of them added together will give a value greater than any number that can be named. reference.allrefer.com /encyclopedia/S/series.html   (330 words)

 Review: Life By The Numbers A series about mathematics on public television is a very brave undertaking in an age where too many people associate the subject with trauma in high school (the fear of "calculus" in particular seems to be North American). A PBS station in Georgia defended their decision not to bring this series to the state whose students standardized mathematics scores are ranked among the lowest in the nation by claiming that the programs were "too esoteric". Throughout the series there is a conscious effort to downplay "the geek factor" and stress the human element and the excitement quotient. www.maa.org /features/lifebyTV.html   (1561 words)

 Amazon.com: An Introduction to the History of Mathematics (Saunders Series): Books   (Site not responding. Last check: 2007-11-07) The careful documentation of the discoveries and history of mathematics is of overwhelming importance, especially in modern times where the advances are taking place so rapidly that the historical roots of some branches of mathematics seem to be getting lost. The contributions of the Arabs are particularly important for later developments in the West, as it was they who revived Greek philosophy and mathematics and consequently changed dramatically the role of mathematics in Europe. Mathematical research now is done by both human and machine, and no doubt this century, and others beyond it, will result in brilliant developments. www.amazon.com /exec/obidos/tg/detail/-/0030295580?v=glance   (1041 words)

 \bf{}Mathematics and Art : The film series It is objected that art has nothing to do with mathematics; that mathematics, beside being by its very nature as dry as dust and as unemotional, is a branch of speculative thought and as such in direct antithesis to those emotive values inherent in aesthetics... And here is the definition of what must be a mathematical approach to the arts: Ït must not be supposed that an art based on the principles of mathematics, such as I have just adumbrated, is in any sense the same thing as a plastic or pictorial interpretation of the latter. A lot of these mathematical ideas are very interesting and beautiful when converted to 3 dimensional form, such as this projection which is not quite correct, of a 4 dimensional figure, the analogue of a ball, this is a more correct one, which gives you the same form. arpam.free.fr /emmer.html   (5881 words)

 Open Directory - Science: Math: Publications: Journals   (Site not responding. Last check: 2007-11-07) Mathematical Connections - A forum for exploring the interplay between mathematics and the humanities. Mathematical Physics, Analysis and Geometry - Journal dedicated to concrete problems of mathematics and theoretical physics, with special emphasis on their connection. Vladikavkaz Mathematical Journal - is intended for those specialists, who are interested in fundamental mathematics, mathematical modelling in technology, ecology, medicine, economics and other adjacent sciences. dmoz.org /Science/Math/Publications/Journals   (2173 words)

 Events - Colloquium Series - Mathematics and Computer Science, Stetson University Typically, a queueing model describes (1) the system's physical configuration, and (2) the stochastic (that is, probabilistic or statistical) nature of the demands, by specifying the variability in the arrival process and the service requirements. Mathematical analysis of simple queueing models often reveals surprising effects caused by this inherent randomness. an expansion of sines and cosines, was one of the most heavily studied subjects in mathematics during the 19'th and 20'th centuries. www.stetson.edu /artsci/mathcs/events/colloquium/2000/index.shtml   (1052 words)

 REAL Mathematics books - for grade 6-14 classrooms, independent study, and home education The core of the REAL Mathematics™ series is solving problems of real mathematics. The math problems in the REAL Mathematics™ series require thinking, planning strategies, experimenting, discussing, and writing. This series of motivational "lessons that work" is based upon the author's many years of teaching in mathematics classrooms of grades 6 through 14 and presenting professional development classes for mathematics teachers. www.realmathematics.com   (140 words)

 Wiley::Time Series Analysis: Nonstationary and Noninvertible Distribution Theory Nonstationary and noninvertible time series are unconventional subareas of time series analysis that provide extremely accurate information on certain types of data. Time Series Analysis is written for the traditional statistician who lacks the rigorous mathematical background required to use nonstationary time series methods. Offering in-depth coverage of a mathematically rigorous topic in terms that statisticians can understand, Time Series Analysis is an indispensable reference for researchers and graduate students in econometrics, statistics, probability, actuarial science, and engineering. eu.wiley.com /WileyCDA/WileyTitle/productCd-0471141917.html   (312 words)

 MATHEMATICS Sequences, series, Taylor expansions, and an introduction to multivariable differential calculus. MATH 318 Linear Algebra (3) NW Introduction to the mathematical concepts, arguments, and proofs that occur in linear algebra. MATH 420 History of Mathematics (3) NW Survey of the development of mathematics from its earliest beginnings through the first half of the twentieth century. www.washington.edu /students/crscat/math.html   (5110 words)

 The Sloan Career Cornerstone Center Some use their mathematical training directly and some use their training in rigorous thinking and analysis indirectly to solve problems in the business sector. Many of the contributions and uses of mathematics are closely related to the need for mathematical modeling and simulation of physical phenomena on the computer. The use of mathematics is pervasive in modern industry. www.careercornerstone.org /math/math.htm   (485 words)

 Annals of Mathematics The Annals of Mathematics is published bimonthly with the cooperation of Princeton University and the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. If you have any questions about the Annals of Mathematics or if there is any information that you would like to see added to these pages, please contact us. www.math.princeton.edu /~annals/index.html   (257 words)

 6.4 The M.A. programs (2) 18 credits of 500-series mathematics courses in an approved program (3 of these credits may be taken in a related area provided the student receives permission from the Graduate Studies Committee in advance). A total of 6 credits at the 400 and 500 level in another area is the maximum allowed. (2) A minimum of 21 credits in mathematics (including at least four courses at the 500 level) and a minimum of 9 credits (with at least 6 credits at the 500 level) in the minor area are required. www.math.psu.edu /simpson/logic/gradc/node15.html   (398 words)

 NCTM: News & Media: Assessment Issues (Newsbulletin September 2005)   (Site not responding. Last check: 2007-11-07) One way to teach such a balanced mathematics curriculum is to use good assessment materials during the teaching and learning processes. The volumes contain items that focus on students’ conceptual knowledge as well as their procedural skills and that reflect the mathematics that all students should know and be able to do. This series of books will be a valuable resource for teachers as they continue to strive to meet NCTM’s vision for school mathematics. www.nctm.org /news/assessment/2005_09nb.htm   (514 words)

 KryssTal : Mathematics An explanation of numbers of different kinds, a little about infinite series and an surprising relationship. An introductory look at the strange world of logarithms, how they are used for calculations, how they are evaluated with series, and using logarithms to solve algebraic equations. A collection of mathematical, physical and astronomical formulas and the interesting stories behind them. www.krysstal.com /maths.html   (298 words)

 The University of Chicago School Mathematics Project (UCSMP) The University of Chicago School Mathematics Project (UCSMP) was founded in 1983 with the aim of upgrading mathematics education in elementary and secondary schools throughout the United States. It seeks to raise the expectations for all students, bringing their performance in mathematics to world-class standards. UCSMP has sponsored four international conferences on mathematics education, with published proceedings representing the best thinking of the mathematics education community worldwide. social-sciences.uchicago.edu /ucsmp   (346 words)

 Math WWW VL: Journals [FSU Math]   (Site not responding. Last check: 2007-11-07) African Journal of Mathematics A new international journal in Mathematics. Journal of Inequalities in Pure and Applied Mathematics JIPAM is a peer-reviewed international journal in the theory of mathematical inequalities and their applications. Nexus Network Journal: Architecture and Mathematics peer-reviewed journal for studies related to the application of mathematical principles in architecture. www.math.fsu.edu /Science/Journals.html   (430 words)

 Duke University Mathematics Department Preprint Series 1990-99   (Site not responding. Last check: 2007-11-07) Welcome to the on-line version of the preprint series from the Duke University Math Department, covering the years 1990 through 1999. This preprint series is no longer maintained; instead, we have an up-to-date list of recent faculty publications which includes both preprints and published material. This local preprint series contains preprints by Duke faculty and students; many of its entries are pointers to the mathematics arXiv where the actual files are stored. www.math.duke.edu /preprints   (135 words)

 UMKC Department of Mathematics and Statistics What's New News and Events   (Site not responding. Last check: 2007-11-07) The paper was written during Winter 2005 for Math 464 WI (History of Mathematics, Writing Intensive) taught by Richard Delaware. Each year the AMS (American Mathematical Society) randomly selects a mathematics department which is an institutional member of the AMS, and asks them to select a student for the award. For Melanie, the talk was an assignment for Math 464 WI (History of Mathematics), and for Joel, the talk was an assignment for Math 412 (Advanced Analysis II), both taught by Richard Delaware. cas.umkc.edu /math/MathWhatsNew.htm   (3263 words)

 Connected Mathematics Home Participants receive all materials needed to present a series of 5-8 high quality professional development sessions in their local setting. ERIC Abstract: Evaluated the Connected Mathematics Project (CMP), a middle school reform mathematics curriculum used in Louisiana's Lafayette parish. Alan describes four "conditions" necessary to provide high quality mathematics education to all students (one of these conditions is "high quality curriculum"). www.mth.msu.edu /cmp   (1563 words)

 Princeton Series in Applied Mathematics The Princeton Series in Applied Mathematics publishes high quality advanced texts and monographs in all areas of applied mathematics. Books include those of a theoretical and general nature as well as those dealing with the mathematics of specific applications areas and real-world situations. While scholarship of the highest standard is the norm, authors are encouraged to make their work as approachable as possible. pup.princeton.edu /catalogs/series/psam.html   (106 words)

 Series on Advances in Mathematics for Applied Sciences Series on Advances in Mathematics for Applied Sciences This series reports on new developments in mathematical research relating to methods, qualitative and numerical analysis, and mathematical modeling in the applied and the technological sciences. The series ranges from monographs to lecture notes, quality conference proceedings and collections of papers. www.worldscibooks.com /series/samas_series.shtml   (539 words)

 Monographic series   (Site not responding. Last check: 2007-11-07) Advances in the Mathematical Sciences (formerly Advances in Soviet Mathematics) Discrete Mathematics and its Applications (formerly CRC Press Series on Discrete Mathematics and its Applications) Some of the links on the Library Catalog to the electronic version of some Lecture Notes in Mathematics titles are not working at this time. mathematics.library.nd.edu /about/monographic_series.shtml   (218 words)

 [No title] Let g sub(alpha, beta)(z): = (alpha - beta) / ((z - alpha)(z - beta)) and form the relative Poincare series associated with A, phi(sub A) (z) = Sum (gamma in Gamma) (g sub(alpha, beta)(gamma z) gamma'(z))(sup q) (z in Omega). The paper under review gives very satisfactory results on spanning sets and vanishing of linear combinations, of the series phi(sub A), namely: Theorem 1. - Similar problems for Poincare series rather than relative Poincare series were discussed earlier by the author Ac M. Zb. www.math.fsu.edu /~seppala/papers/Topology2001/real.bib   (1069 words)

 IMA Preprint Series Please note that some of the IMA's preprints are not available in downloadable formats at this time. It can be downloaded free from Adobe for most platforms. The numbers in parenthesis () refer to the preprint numbers included in the series for that month/year. www.ima.umn.edu /preprints/new.preprintlist.html   (154 words)

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