Read e-book online A Topological Aperitif (Springer Undergraduate Mathematics PDF

By Stephen Huggett,David Jordan

This is a ebook of straight forward geometric topology, during which geometry, often illustrated, courses calculation. The e-book begins with a wealth of examples, frequently sophisticated, of ways to be mathematically convinced no matter if gadgets are a similar from the viewpoint of topology.

After introducing surfaces, similar to the Klein bottle, the booklet explores the homes of polyhedra drawn on those surfaces. extra subtle instruments are constructed in a bankruptcy on winding quantity, and an appendix supplies a glimpse of knot theory.

Numerous examples and workouts make this an invaluable textbook for a primary undergraduate direction in topology, delivering a company geometrical starting place for extra examine. for a lot of the ebook the must haves are moderate, notwithstanding, so a person with interest and tenacity can be capable of benefit from the Aperitif.

"…distinguished by means of transparent and lovely exposition and encumbered with casual motivation, visible aids, cool (and fantastically rendered) pictures…This is a very good publication and that i suggest it very highly."

MAA Online

"Aperitif evokes precisely the correct effect of this ebook. The excessive ratio of illustrations to textual content makes it a short learn and its enticing type and subject material whet the tastebuds for a variety of attainable major courses."

Mathematical Gazette

"A Topological Aperitif presents a marvellous creation to the topic, with many alternative tastes of ideas."

Professor Sir Roger Penrose OM FRS, Mathematical Institute, Oxford, united kingdom

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