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Generalized Go is played on n × n boards, and the computational complexity of determining the winner in a given position of generalized Go depends crucially on the ko rules. Go is “almost” in PSPACE , since in normal play, moves are not reversible, and it is only through capture that there is the possibility of the repeating patterns ...
As of November 28, 2023, there have been 1,019,175 students, 1,691,990 topics, and a total of 20,528,472 posts on the site. Rusczyk has also published the Art of Problem Solving series of books aimed at a similar audience. The site also provides fee-based online mathematics classes, which range from Prealgebra to Group Theory and Calculus.
The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...
The History of Mathematics consists of seven chapters, [1] featuring many case studies. [2] [3] Its first, "Mathematics: myth and history", gives a case study of the history of Fermat's Last Theorem and of Wiles's proof of Fermat's Last Theorem, [4] making a case that the proper understanding of this history should go beyond a chronicle of individual mathematicians and their accomplishments ...
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OpenStax textbooks follow a traditional peer review process aimed at ensuring they meet a high quality standard before publication. Textbooks are developed and peer-reviewed by educators in an attempt to ensure they are readable and accurate, meet the scope and sequence requirements of each course, are supported by instructor ancillaries, and are available with the latest technology-based ...
In chapter one, "New names for old", they explain why mathematics is the science that uses easy words for hard ideas. They note (p 5) "many amusing ambiguities arise. For instance, the word function probably expresses the most important idea in the whole history of mathematics. Also, the theory of rings is much more recent than the theory of ...
[1] Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.