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Let be a DF-space and let be a convex balanced subset of . Then is a neighborhood of the origin if and only if for every convex, balanced, bounded subset , is a neighborhood of the origin in . [1] Consequently, a linear map from a DF-space into a locally convex space is continuous if its restriction to each bounded subset of the domain is continuous.
In 2014, Big Ideas Learning debuted the Big Ideas Math Algebra 1, Geometry, and Algebra 2 Common Core high school mathematics curriculum. The company also announced that it will be releasing the Big Ideas Math Course 1, Course 2, and Course 3 Common Core integrated high school mathematics curriculum in the spring of 2015.
The 2003 edition makes reference to computer software such as The Geometer's Sketchpad. [1]: p. 3 Even before this edition, the Teacher's notes for Geometry was used for developing new ways of teaching. [9] [10] One instructor credited the book's success to being "mathematically very sound" yet using a "little by little" approach. [11]
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
Focus on Algebra is far from the worst of the new books. However, it contains a representative sample of what is being called 'a mile wide and an inch deep'." [3] Senator Robert Byrd, Democrat from West Virginia, joined critics of reform mathematics on the floor of the Senate by dubbing Focus on Algebra "whacko algebra". [4]
The middle school series, Big Ideas Math, won the TAA Textbook Excellence Award ("Texty") in 2010 for excellence in secondary mathematics textbook publishing. [19] Larson's textbooks have won awards from the Textbook Authors' Association (TAA) multiple times, including the McGuffey Longevity Award, the TAA Textbook Excellence Award, and the ...
SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation" [3]) is a computer algebra system (CAS) with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis, number theory, calculus and statistics.
Around 300 BC, Euclid organized mathematical knowledge by way of postulates and first principles, which evolved into the axiomatic method that is used in mathematics today, consisting of definition, axiom, theorem, and proof. [78] His book, Elements, is widely considered the most successful and influential textbook of all time. [79]