1549901369-Elements_of_Real_Analysis__Denlinger_

Bibliography 711 [30] Dangello, Frank, and Michael Seyfried, Introductory Real Analysis. Boston: Houghton Mifflin, 2000. [31] Da ...

712 Bibliography [47] Gaskill, Herbert S., and P. P. Narayanaswami, Elements of Real Analysis. Upper Saddle River, NJ: Prentice- ...

Bibliography 713 [62] Hawkins, Thomas, Lebesgue's Theory of Integration. Providence: Ameri- can Mathematical Society /Chelsea Pu ...

714 Bibliography [79] Krantz, Steven R., Real Analysis and Foundations, Second Edition. Boca Raton: Chapman & Hall/CRC Press ...

Bibliography 715 [96] Marash, R. P., A Bridge to Abstract Mathematics, 2nd Ed. New York: McGraw-Hill, 1991. [97] Morgan, Frank, ...

716 Bibliography [113] Reed, Michael C., Fundamental Ideas of Analysis. New York: John Wiley & Sons, 1998. [114] Robdera, Ma ...

Bibliography 717 [131] Thomson, Brian S., Judith B. Bruckner, and Andrew M. Bruckner, Ele- mentary Real Analysis. Upper Saddle R ...

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Glossary of Symbols GREEK ALPHABET o: A alpha vN nu (3 B beta ~ 3 xi 1r gamma^0 0 omicron 0 ~ delta 7f II pi c E epsilon pP rho ...

720 Glossary of Symbols LOGIC Symbol Meaning /\, V and, or ::::} implies (if ... then ... ) ~ the converse of ::::} ¢:? if and o ...

Glossary of Symbols 721 FUNCTIONS Symbol Meaning Defined on page f : A ~ B f is a function from A to B V(j), R(f) domain off, ra ...

722 Glossary of Symbols Symbol {xn} lim Xn = L n->oc Xn---+ L Tm SEQUENCES Meaning a sequence of real numbers The sequence {x ...

Glossary of Symbols 723 CONTINUOUS FUNCTIONS Symbol Meaning Defined on page sgn (x) signum function 227 T(x) Thomae's function 2 ...

724 Glossary of Symbols Symbol p n S.(f, P) = L mil:,.i i=l n S(f, P) = L Mil:,.i b -b J - a f , J af I: f llPll P* i=l n THE RI ...

Glossary of Symbols 725 SEQUENCES AND SERIES OF FUNCTIONS Symbol Meaning Defined on page F(S,ffi.), set of all functions f : S _ ...

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Index Abel's summation by parts, 494 Abel's t est for series, 498 Abel's theorem, 515 absolute convergence of improper integrals ...

728 Index c, 5 cancellation laws, 5 Cantor set, 165, 270, 444, 450 Cantor's function, 270 - 274, 321 Cantor's nested intervals t ...

converse, 593 cosine function, 233 , 313, 431, 538- 540 countable set, 126 Darboux integrable function, 364 lower and upper inte ...

730 Index e as a function limit, 286 definition of, 95, 96 irrationality of, 338 , 415 number whose ln is 1, 423 transcendence o ...