000 03279cam a2200301 i 4500
001 17794129
005 20150819110349.0
008 130627s2014 flu b 001 0 eng
010 _a 2013025264
020 _a9781466562431 (hb)
040 _aDLC
_beng
_cDLC
_erda
_dDLC
042 _apcc
050 0 0 _aQA612
_b.S535 2014
082 0 0 _a514.2 SHA/Bas
_223
084 _aMAT002000
_aMAT012000
_2bisacsh
100 1 _aShastri, Anant R.
245 1 0 _aBasic algebraic topology
_cAnant R. Shastri.
260 _aBoca Raton:
_bCRC Press;
_c2014
300 _axv, 535 pages ;
_c27 cm
504 _aIncludes bibliographical references (pages 525-529) and index.
520 _a"Thoroughly classroom-tested, this self-contained text teaches algebraic topology to students at the MSc and PhD levels, taking them all the way to becoming algebraic topologists. Requiring basic training in point set topology, linear algebra, and group theory, the book includes historical remarks to make the subject more meaningful to students. Also suitable for researchers, it provides references for further reading, presents full proofs of all results, and includes numerous exercises"--
520 _a"PREFACE This book is intended for a 2-semester first course in algebraic topology, though I would recommend not to try to cover the whole thing in two semesters. A glance through the contents page will tell the reader that the selection of topics is quite standard whereas the sequencing of them may not be so. The material in the first five chapters are very basic and quite enough for a semester course. A teacher can afford to be a little choosy in selecting exactly which sections (s)he may want to teach. There is more freedom in choice of materials to be taught from latter chapters. It goes without saying that these materials demand much higher mathematical maturity than the first five chapters. Also, this is where some knowledge of differential manifolds helps to understand the material better. The book can be adopted as a text for M.Sc./B.Tech./M.Tech./Ph.D. students. We assume that the readers of this book have gone through a semester course each in real analysis, and point-set-topology and some basic algebra. It is desirable that they also had a course in differential topology or concurrently study such a course but that is necessary only at a few sections. There are exercises at the end of many sections and at the end of first five chapters. Most of these exercises are part of the main material and working through them is an essential part of learning. However, it is not necessary that a student gets the right answers before proceeding further. Indeed, it is not a good idea to get stuck with a problem for too long--keep going further and come back to them later. There is a hint/solution manual for them at the end of the book for some selected exercises, especially for those which are being used in a later section, so as to make"--
650 0 _aAlgebraic topology
_vTextbooks.
650 7 _aMATHEMATICS / Algebra / General.
_2bisacsh
650 7 _aMATHEMATICS / Geometry / General.
_2bisacsh
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
955 _bxh07 2013-06-27
_ixh07 2013-06-27 ONIX to Dewey
_axn09 2013-12-17 1 copy rec'd., to CIP ver.
999 _c118835
_d118835