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Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.
Mathematics Made Difficult is a book by Carl E. Linderholm that uses advanced mathematical methods to prove results normally shown using elementary proofs.Although the aim is largely satirical, [1] [2] it also shows the non-trivial mathematics behind operations normally considered obvious, such as numbering, counting, and factoring integers.
The Math Book; Math Curse; Mathematical Cranks; Mathematical Foundations of Quantum Mechanics; Mathematical Handbook for Scientists and Engineers; Mathematical Models (Cundy and Rollett) Mathematical Models (Fischer) A Mathematical Theory of Communication; Mathematics and Plausible Reasoning; Mathematics Made Difficult; The Mathematics of Games ...
Booklist praised the book as a useful "basic resource for students who wish to have a better understanding of simple or not-so--simple mathematical concepts" and the School Library Journal called the encyclopedia "comprehensive". [3] [4]
This principle, foundational for all mathematics, was first elaborated for geometry, and was systematized by Euclid around 300 BC in his book Elements. [ 21 ] [ 22 ] The resulting Euclidean geometry is the study of shapes and their arrangements constructed from lines, planes and circles in the Euclidean plane ( plane geometry ) and the three ...
According to Carnap's "Logicist Foundations of Mathematics", Russell wanted a theory that could plausibly be said to derive all of mathematics from purely logical axioms. However, Principia Mathematica required, in addition to the basic axioms of type theory, three further axioms that seemed to not be true as mere matters of logic, namely the ...
Both binaries and source code are available for SageMath from the download page. If SageMath is built from source code, many of the included libraries such as OpenBLAS, FLINT, GAP (computer algebra system), and NTL will be tuned and optimized for that computer, taking into account the number of processors, the size of their caches, whether there is hardware support for SSE instructions, etc.