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Stillwell is the author of many textbooks and other books on mathematics including: Classical Topology and Combinatorial Group Theory, 1980, ISBN 0-387-97970-0. 2012 pbk reprint of 1993 2nd edition ISBN 978-0-387-97970-0. Mathematics and Its History, 1989, pbk reprint of 2nd edition 2002; 3rd edition 2010, ISBN 0-387-95336-1 [7]
Reverse Mathematics: Proofs from the Inside Out. First edition. Reverse Mathematics: Proofs from the Inside Out is a book by John Stillwell on reverse mathematics, the process of examining proofs in mathematics to determine which axioms are required by the proof. It was published in 2018 by the Princeton University Press. [1][2][3][4][5][6]
Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. 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 ...
"Analysis Situs" is a seminal mathematics paper that Henri Poincaré published in 1895. [1] Poincaré published five supplements to the paper between 1899 and 1904. [2]These papers provided the first systematic treatment of topology and revolutionized the subject by using algebraic structures to distinguish between non-homeomorphic topological spaces, founding the field of algebraic topology. [3]
Ruth Moufang. Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory. Dehn's early life and career took place in Germany. However, he was forced to retire in 1935 and eventually fled Germany in 1939 and emigrated to the United States.
Reverse mathematics. Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms ", in contrast to the ordinary mathematical practice of deriving theorems from axioms.
Combinatorial group theory. In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in a natural and geometric way such a presentation. A very closely related ...
A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.