000 03701nam a22005175i 4500
001 978-3-319-53871-6
003 DE-He213
005 20181204134419.0
007 cr nn 008mamaa
008 170331s2017 gw | s |||| 0|eng d
020 _a9783319538716
_9978-3-319-53871-6
024 7 _a10.1007/978-3-319-53871-6
_2doi
040 _aISI Library, Kolkata
050 4 _aQA331.5
072 7 _aPBKB
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKB
_2thema
082 0 4 _a515.8
_223
100 1 _aCaminha Muniz Neto, Antonio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 3 _aAn Excursion through Elementary Mathematics, Volume I
_h[electronic resource] :
_bReal Numbers and Functions /
_cby Antonio Caminha Muniz Neto.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXIII, 652 p. 73 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProblem Books in Mathematics,
_x0941-3502
505 0 _aChapter 1 The Set of Real Numbers -- Chapter 2 Algebraic Identities, Equations and Systems -- Chapter 3 Elementary Sequences -- Chapter 4 Induction and the Binomial Formula -- Chapter 5 Elementary Inequalities -- Chapter 6 The Concept of Function -- Chapter 7 More on Real Numbers -- Chapter 8 Continuous Functions -- Chapter 9 Limits and Derivatives -- Chapter 10 Riemann’s Integral -- Chapter 11 Series of Functions -- Bibliography -- Appendix A Glossary -- Appendix B Hints and Solutions.
520 _aThis book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aMatrix theory.
650 1 4 _aReal Functions.
_0http://scigraph.springernature.com/things/product-market-codes/M12171
650 2 4 _aGeneral Algebraic Systems.
_0http://scigraph.springernature.com/things/product-market-codes/M1106X
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11094
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319538709
776 0 8 _iPrinted edition:
_z9783319538723
776 0 8 _iPrinted edition:
_z9783319852614
830 0 _aProblem Books in Mathematics,
_x0941-3502
856 4 0 _uhttps://doi.org/10.1007/978-3-319-53871-6
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427119
_d427119