A Course in Combinatorics

Format: Hardcover

Language: English

Format: PDF / Kindle / ePub

Size: 12.20 MB

Downloadable formats: PDF

Much of applied mathematics is concerned with solving challenging equations that describe interesting and important problems, and there is ample scope for a wide range of appealing PhD topics. The main point here is that, in the predicate calculus, a subject is always an individual entity, never a class of entities. My longtime rave fave is the Mobius strip�. That everywhere space (which (in its entirety] is itself no longer the boundary of another space) has three dimensions, and that space cannot in any way have more, is based on the proposition that not more than three lines can intersect at right angles in one point; but this proposition cannot by any means be shown from concepts, but rests immediately on intuition, and indeed on pure and a priori intuition, because it is apodictically certain.

Pages: 616

Publisher: Cambridge University Press; 2 edition (December 3, 2001)

ISBN: 0521803403

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