New PDF release: A Topological Aperitif (Springer Undergraduate Mathematics

By Stephen Huggett,David Jordan

This is a ebook of basic geometric topology, during which geometry, usually illustrated, courses calculation. The ebook begins with a wealth of examples, usually refined, of the way to be mathematically sure no matter if gadgets are a similar from the viewpoint of topology.



After introducing surfaces, akin to the Klein bottle, the ebook explores the homes of polyhedra drawn on those surfaces. extra subtle instruments are built in a bankruptcy on winding quantity, and an appendix offers a glimpse of knot theory.



Numerous examples and workouts make this an invaluable textbook for a primary undergraduate direction in topology, supplying an organization geometrical starting place for additional research. for far of the e-book the must haves are moderate, even though, so an individual with interest and tenacity might be capable of benefit from the Aperitif.



"…distinguished by means of transparent and beautiful exposition and weighted down 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 impact of this e-book. The excessive ratio of illustrations to textual content makes it a short learn and its enticing sort and material whet the tastebuds for quite a number attainable major courses."


Mathematical Gazette



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


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

Show description

Read or Download A Topological Aperitif (Springer Undergraduate Mathematics Series) PDF

Similar geometry & topology books

Download PDF by Clifford Henry Taubes: Differential Geometry: Bundles, Connections, Metrics and

Bundles, connections, metrics and curvature are the 'lingua franca' of contemporary differential geometry and theoretical physics. This e-book will offer a graduate pupil in arithmetic or theoretical physics with the basics of those gadgets. the various instruments utilized in differential topology are brought and the elemental effects approximately differentiable manifolds, delicate maps, differential kinds, vector fields, Lie teams, and Grassmanians are all offered right here.

Download PDF by Kishore Marathe: Topics in Physical Mathematics

As many readers will recognize, the twentieth century was once a time whilst the fields of arithmetic and the sciences have been noticeable as separate entities. brought on by the fast development of the actual sciences and an expanding abstraction in mathematical study, every one occasion, physicists and mathematicians alike, suffered a false impression; not just of the opposition’s theoretical underpinning, yet of ways the 2 matters can be intertwined and successfully applied.

Download e-book for kindle: Towards the Mathematics of Quantum Field Theory (Ergebnisse by Frederic Paugam

This formidable and unique booklet units out to introduce to mathematicians (even together with graduate scholars ) the mathematical equipment of theoretical and experimental quantum box thought, with an emphasis on coordinate-free displays of the mathematical gadgets in use. This in flip promotes the interplay among mathematicians and physicists by way of delivering a standard and versatile language for the nice of either groups, even though mathematicians are the first goal.

Download e-book for kindle: Applied Differential Geometry by William L. Burke

It is a self-contained introductory textbook at the calculus of differential types and smooth differential geometry. The meant viewers is physicists, so the writer emphasises functions and geometrical reasoning that allows you to provide effects and ideas an exact yet intuitive which means with no getting slowed down in research.

Extra info for A Topological Aperitif (Springer Undergraduate Mathematics Series)

Sample text

Download PDF sample

A Topological Aperitif (Springer Undergraduate Mathematics Series) by Stephen Huggett,David Jordan


by Christopher
4.5

Rated 4.56 of 5 – based on 32 votes