By Robert van de Geijn, Maggie Myers
LAFF all started as a tremendous Open on-line path (MOOC) funded partly by means of the collage of Texas process and the nationwide technological know-how starting place (grant ACI-1148125), created through Prof. Robert van de Geijn and Dr. Maggie Myers on the collage of Texas at Austin, and introduced at the edX platform . The fabrics remain on hand with edX via no less than summer time 2014.
The "Notes to LAFF With" are a PDF publication that turns into the "hub" in which the opposite LAFF fabric (e.g., the movies) will be accessed. It is going past the notes that have been published as a part of the edX MOOC through additionally supplying an index into the fabrics and incorporating wide strategies for the homework exercises.
From the MOOC description:
Linear Algebra: Foundations to Frontiers (LAFF) is packed filled with difficult, worthwhile fabric that's crucial for mathematicians, engineers, scientists, and someone operating with huge datasets. scholars get pleasure from our special approach to educating linear algebra simply because: It’s visible. It connects hand calculations, mathematical abstractions, and machine programming. It illustrates the advance of mathematical thought. It’s acceptable. during this path, you are going to study the entire average issues which are taught in ordinary undergraduate linear algebra classes world wide, yet utilizing our distinctive procedure, you are going to additionally get extra! LAFF was once built following the syllabus of an introductory linear algebra path on the collage of Texas at Austin taught by means of Professor Robert van de Geijn, a professional on excessive functionality linear algebra libraries. via brief movies, workouts, visualizations, and programming assignments, you are going to examine Vector and Matrix Operations, Linear differences, fixing structures of Equations, Vector areas, Linear Least-Squares, and Eigenvalues and Eigenvectors. additionally, you'll get a glimpse of innovative study at the improvement of linear algebra libraries, that are used all through computational technology.
Download it at no cost: http://www.ulaff.net/
By Dhompongsa S. (ed.)
This text is a survey on tame congruence concept, a brand new idea for finite algebras. It comprises the outline of all two-element algebras given initially via Б. L. publish and the interconnections among MaTcev-type stipulations and the kinds 1-5 outlined in tame congruence conception.
By Jacob T. Schwartz
Mathematical economics has made substantial technical growth in
the final two decades. regrettably, it has to a too huge quantity
remained remoted in the higher historic context of monetary
debate, by some means ignoring instead of clarifying the good matters
around which this debate has raged; like a fragile precision clock-
work which the economist admires, as in a jeweler's window, sooner than
setting again to critical paintings with decide and shovel. for that reason
I have attempted, within the lectures from which the current quantity is taken,
to direct consciousness fairly to those matters, and feature tried
to positioned economics within the foreground and arithmetic including
mathematical rigor within the background-although, unluckily, arithmetic
in doing its sturdy companies has a manner of calling awareness to itself.
Where excellent generality has intended relative vagueness of effects,
while moderate assumptions have resulted in suggestive conclusions,
I have, as a result, most popular to make instead of to disregard those
By Egan J. Chernoff, Gale L. Russell (auth.), Egan J. Chernoff, Bharath Sriraman (eds.)
This quantity offers an important, present and wide research of probabilistic pondering from a few mathematicians, arithmetic educators, and psychologists. The paintings of fifty eight contributing authors, investigating probabilistic considering around the globe, is encapsulated in 6 prefaces, 29 chapters and six commentaries. finally, the 4 major views awarded during this quantity (Mathematics and Philosophy, Psychology, Stochastics and arithmetic schooling) are designed to symbolize probabilistic pondering in a better context.
By Carlos Goncalves
This paintings bargains a re-edition of twelve mathematical drugs from the positioning of inform Harmal, within the borders of present-day Baghdad. In precedent days, inform Harmal was once Šaduppûm, a urban consultant of the zone of the Diyala river and of the dominion of Ešnunna, to which it belonged for a time. those twelve pills have been initially released in separate articles first and foremost of the Fifties and in general comprise solved challenge texts. the various difficulties take care of summary issues akin to triangles and rectangles without connection with lifestyle, whereas others are said in explicitly empirical contexts, comparable to the transportation of a load of bricks, the dimensions of a vessel, the variety of males had to construct a wall and the purchase of oil and lard.
This new version of the texts is the 1st to team them, and takes under consideration all of the contemporary advancements of the learn within the historical past of Mesopotamian arithmetic. Its introductory chapters are directed to readers drawn to an outline of the mathematical contents of those capsules and the language concerns concerned with their interpretation, whereas a bankruptcy of synthesis discusses the methods heritage of arithmetic has normally handled the mathematical proof and inquires how and to what measure mathematical capsules might be made a part of an image of the bigger social context. moreover, the quantity contributes to a geography of the previous Babylonian mathematical practices, through evidencing that scribes at Šaduppûm made use of cultural fabric that used to be in the community on hand. The edited texts are observed by means of translations, philological, and mathematical commentaries.
By Вавилов В.В., Мельников И.И., Олехник С.Н.
Содержит справочные сведения по методам решения уравнений и неравенств с одним неизвестным: содержащих знак абсолютной величины, иррациональным, показательным и логарифмическим. Содержит задачи, предлагаемые на вступительных экзаменах. Методы иллюстрируются примерами.Тесно примыкает к справочному пособию авторов «Задачи по математике. Алгебра» (объявлено в темплане 87 № forty nine под названием «Задачи по математике для подготовительных отделений»).Для самостоятельного повторения курса алгебры, для слушателей подготовительных отделений вузов, а также для поступающих в вузы.
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