By Stephen Huggett,David Jordan
This is a publication of undemanding geometric topology, during which geometry, often illustrated, courses calculation. The publication starts off with a wealth of examples, frequently sophisticated, of ways to be mathematically definite even if gadgets are an identical from the viewpoint of topology.
After introducing surfaces, resembling the Klein bottle, the ebook explores the homes of polyhedra drawn on those surfaces. extra sophisticated instruments are built in a bankruptcy on winding quantity, and an appendix offers a glimpse of knot theory.
Numerous examples and routines make this an invaluable textbook for a primary undergraduate direction in topology, supplying a company geometrical beginning for extra learn. for a lot of the ebook the necessities are mild, although, so someone with interest and tenacity might be in a position to benefit from the Aperitif.
"…distinguished by way of transparent and lovely exposition and encumbered with casual motivation, visible aids, cool (and fantastically rendered) pictures…This is a great publication and that i suggest it very highly."
"Aperitif evokes precisely the correct impact of this booklet. The excessive ratio of illustrations to textual content makes it a short learn and its enticing kind and material whet the tastebuds for a number of attainable major courses."
"A Topological Aperitif offers a marvellous advent to the topic, with many alternative tastes of ideas."
Professor Sir Roger Penrose OM FRS, Mathematical Institute, Oxford, united kingdom
Read Online or Download A Topological Aperitif (Springer Undergraduate Mathematics Series) PDF
Best geometry & topology books
Offers an in-depth research of geometry of half surfaces and gives the instruments for fixing advanced engineering difficulties Geometry of Surfaces: a pragmatic consultant for Mechanical Engineers is a accomplished advisor to utilized geometry of surfaces with specialize in useful functions in quite a few components of mechanical engineering.
The e-book demonstrates the advance of necessary geometry on domain names of homogeneous areas given that 1990. It covers quite a lot of themes, together with research on multidimensional Euclidean domain names and Riemannian symmetric areas of arbitrary ranks in addition to contemporary paintings on section house and the Heisenberg team.
This is often the unique deepest astrology direction created by means of Carl Payne Tobey in 1955 that has been now edited and digitized by means of Naomi Bennett, certainly one of his well-known scholars. This e-book is his seminal paintings on astrology with all of his discoveries totally defined with vast history and research given for the development blocks and constitution of horoscopic astrology.
This quantity is a compilation of latest effects and surveys at the present kingdom of a few points of the foliation idea offered through the convention “FOLIATIONS 2012”. It comprises fresh fabrics on foliation conception that's with regards to differential geometry, the idea of dynamical platforms and differential topology.
- An Introduction to Incidence Geometry (Frontiers in Mathematics)
- Spectral Geometry of the Laplacian:Spectral Analysis and Differential Geometry of the Laplacian
- The Elements of Non-Euclidean Geometry (Dover Books on Mathematics)
- Commutative Algebra: Noetherian and Non-Noetherian Perspectives
- Curve and Surface Reconstruction: Algorithms with Mathematical Analysis (Cambridge Monographs on Applied and Computational Mathematics)
Extra info for A Topological Aperitif (Springer Undergraduate Mathematics Series)
A Topological Aperitif (Springer Undergraduate Mathematics Series) by Stephen Huggett,David Jordan