HjemGrupperSnakMereZeitgeist
Søg På Websted
På dette site bruger vi cookies til at levere vores ydelser, forbedre performance, til analyseformål, og (hvis brugeren ikke er logget ind) til reklamer. Ved at bruge LibraryThing anerkender du at have læst og forstået vores vilkår og betingelser inklusive vores politik for håndtering af brugeroplysninger. Din brug af dette site og dets ydelser er underlagt disse vilkår og betingelser.

Resultater fra Google Bøger

Klik på en miniature for at gå til Google Books

Lecture Notes in Algebraic Topology…
Indlæser...

Lecture Notes in Algebraic Topology (Graduate Studies in Mathematics, 35) (udgave 2001)

af Paul Kirk James F. Davis (Forfatter)

MedlemmerAnmeldelserPopularitetGennemsnitlig vurderingSamtaler
10Ingen1,832,998IngenIngen
The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the ``big picture'', teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.… (mere)
Medlem:morphismus
Titel:Lecture Notes in Algebraic Topology (Graduate Studies in Mathematics, 35)
Forfattere:Paul Kirk James F. Davis (Forfatter)
Info:American Mathematical Society (2001), Edition: 1st, 367 pages
Samlinger:Dit bibliotek
Vurdering:
Nøgleord:Ingen

Work Information

Lecture Notes in Algebraic Topology af Paul Kirk James F. Davis

Ingen
Indlæser...

Bliv medlem af LibraryThing for at finde ud af, om du vil kunne lide denne bog.

Der er ingen diskussionstråde på Snak om denne bog.

Ingen anmeldelser
ingen anmeldelser | tilføj en anmeldelse

» Tilføj andre forfattere

Forfatter navnRolleHvilken slags forfatterVærk?Status
Paul Kirk James F. Davisprimær forfatteralle udgaverberegnet
Kirk, Paulhovedforfatteralle udgaverbekræftet

Tilhører Forlagsserien

Du bliver nødt til at logge ind for at redigere data i Almen Viden.
For mere hjælp se Almen Viden hjælpesiden.
Kanonisk titel
Oplysninger fra den engelske Almen Viden Redigér teksten, så den bliver dansk.
Originaltitel
Alternative titler
Oprindelig udgivelsesdato
Personer/Figurer
Vigtige steder
Vigtige begivenheder
Beslægtede film
Indskrift
Tilegnelse
Første ord
Citater
Sidste ord
Oplysning om flertydighed
Forlagets redaktører
Bagsidecitater
Originalsprog
Canonical DDC/MDS
Canonical LCC

Henvisninger til dette værk andre steder.

Wikipedia på engelsk (1)

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the ``big picture'', teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.

No library descriptions found.

Beskrivelse af bogen
Haiku-resume

Current Discussions

Ingen

Populære omslag

Quick Links

Vurdering

Gennemsnit: Ingen vurdering.

Er det dig?

Bliv LibraryThing-forfatter.

 

Om | Kontakt | LibraryThing.com | Brugerbetingelser/Håndtering af brugeroplysninger | Hjælp/FAQs | Blog | Butik | APIs | TinyCat | Efterladte biblioteker | Tidlige Anmeldere | Almen Viden | 203,238,517 bøger! | Topbjælke: Altid synlig