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

By Stephen Huggett,David Jordan

This is a booklet of basic geometric topology, within which geometry, usually illustrated, courses calculation. The publication begins with a wealth of examples, frequently refined, of the way to be mathematically definite no matter if gadgets are a similar from the perspective of topology.

After introducing surfaces, equivalent to the Klein bottle, the e-book explores the homes of polyhedra drawn on those surfaces. extra sophisticated instruments are built in a bankruptcy on winding quantity, and an appendix provides a glimpse of knot theory.

Numerous examples and workouts make this an invaluable textbook for a primary undergraduate path in topology, offering a company geometrical starting place for additional examine. for far of the e-book the must haves are mild, although, so an individual with interest and tenacity may be in a position to benefit from the Aperitif.

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

MAA Online

"Aperitif evokes precisely the correct influence of this booklet. The excessive ratio of illustrations to textual content makes it a brief learn and its enticing kind and material whet the tastebuds for a number attainable major courses."

Mathematical Gazette

"A Topological Aperitif offers a marvellous advent 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

Best geometry & topology books

Canterbury Cathedral

Trust within the Heavenly nature of geometrical varieties has existed considering that prehistoric instances, yet merely now, in those pages, will we see and know the way this trust encouraged the layout of an exceptional spiritual development. with no mathematical complexities, yet in easy language and with many clarifying illustrations, the writer demonstrates the geometrical buildings that the good architects of Canterbury Cathedral devised to convey the geometry in their construction into concord with that of the Universe, and with the geometries in their predecessors.

The Heart of Cohomology

When you have no longer heard approximately cohomology, the center of Cohomology can be fitted to you. The ebook supplies primary notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived different types are defined in hassle-free style. purposes to sheaf cohomology.

Introductory Topology:Exercises and Solutions

The booklet deals a very good advent to topology via solved workouts. it really is almost always meant for undergraduate scholars. so much routines are given with exact suggestions. Contents:Exercises and Solutions:General Notions: units, services et al. Metric SpacesTopological SpacesContinuity and ConvergenceCompact SpacesConnected SpacesComplete Metric SpacesFunction SpacesReadership: Undergraduate scholars and academics in topology.

Introduction to Set Theory and Topology (International Series in Pure and Applied Mathematics)

Creation to Set conception and Topology describes the basic suggestions of set concept and topology in addition to its applicability to research, geometry, and different branches of arithmetic, together with algebra and likelihood thought. options akin to inverse restrict, lattice, excellent, filter out, commutative diagram, quotient-spaces, thoroughly typical areas, quasicomponents, and cartesian items of topological areas are thought of.

Additional resources for A Topological Aperitif (Springer Undergraduate Mathematics Series)

Sample text

Download PDF sample

Rated 4.79 of 5 – based on 6 votes