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999 _c40099
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005 20190614110822.0
008 100414s2010 njua b 001 0 eng
010 _a 2010013147
015 _aGBB065080
_2bnb
016 7 _a015562301
_2Uk
020 _a9780470624517
020 _a0470624515 (cloth)
035 _a(DLC)16185693
035 _a(DLC)2010013147
035 _a(OCoLC)ocn607573954
040 _aDLC
_cDLC
_dUKM
_dYDXCP
_dC#P
_dBWX
_dCDX
_dCLU
_dUKMGB
_dDLC
042 _apcc
050 0 0 _aQA387
_b.M364 2010
082 0 0 _a512.55 MAR-N
_222
100 1 _aMarkley, Nelson Groh,
_d1940-
245 1 0 _aTopological groups :
_ban introduction /
_cNelson G. Markley.
260 _aHoboken, N.J. :
_bWiley,
_cc2010.
300 _axi, 367 p. :
_bill. ;
_c25 cm.
365 _aUSD
_b121.95
500 _aA user-friendly introduction to metric and topological groups Topological Groups: An Introduction provides a self-contained presentation with an emphasis on important families of topological groups. The book uniquely provides a modern and balanced presentation by using metric groups to present a substantive introduction to topics such as duality, while also shedding light on more general results for topological groups. Filling the need for a broad and accessible introduction to the subject, the book begins with coverage of groups, metric spaces, and topological spaces before introducing topological groups. Since linear spaces, algebras, norms, and determinants are necessary tools for studying topological groups, their basic properties are developed in subsequent chapters. For concreteness, product topologies, quotient topologies, and compact-open topologies are first introduced as metric spaces before their open sets are characterized by topological properties. These metrics, along with invariant metrics, act as excellent stepping stones to the subsequent discussions of the following topics: * Matrix groups * Connectednesss of topological groups * Compact groups * Character groups Exercises found throughout the book are designed so both novice and advanced readers will be able to work out solutions and move forward at their desired pace. All chapters include a variety of calculations, remarks, and elementary results, which are incorporated into the various examples and exercises. Topological Groups: An Introduction is an excellent book for advanced undergraduate and graduate-level courses on the topic. The book also serves as a valuable resource for professionals working in the fields of mathematics, science, engineering, and physics.
504 _aIncludes bibliographical references (p. 359-360) and indexes.
650 0 _aTopological groups.
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
955 _bxh00 2010-04-14
_ixh07 2010-04-14 to Dewey
_auf29 2011-05-27 1 copy rec'd., to CIP ver.