Mathematical Bridges

Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, read...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Andreescu, Titu (Συγγραφέας), Mortici, Cristinel (Συγγραφέας), Tetiva, Marian (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Birkhäuser, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03220nam a22004335i 4500
001 978-0-8176-4629-5
003 DE-He213
005 20170220054024.0
007 cr nn 008mamaa
008 170220s2017 xxu| s |||| 0|eng d
020 |a 9780817646295  |9 978-0-8176-4629-5 
024 7 |a 10.1007/978-0-8176-4629-5  |2 doi 
040 |d GrThAP 
050 4 |a QA150-272 
072 7 |a PBF  |2 bicssc 
072 7 |a MAT002000  |2 bisacsh 
082 0 4 |a 512  |2 23 
100 1 |a Andreescu, Titu.  |e author. 
245 1 0 |a Mathematical Bridges  |h [electronic resource] /  |c by Titu Andreescu, Cristinel Mortici, Marian Tetiva. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Birkhäuser,  |c 2017. 
300 |a VIII, 309 p. 3 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Mathematical (and Other) Bridges -- Cardinality -- Polynomial Functions Involving Determinants -- Some Applications of the Hamilton-Cayley Theorem -- A Decomposition Theorem Related to the Rank of a Matrix -- Equivalence Relations on Groups and Factor Groups -- Density -- The Nested Intervals Theorem -- The Splitting Method and Double Sequences -- The Number e -- The Intermediate Value Theorem -- The Extreme Value Theorem -- Uniform Continuity -- Derivatives and Functions' Variation -- Riemann and Darboux Sums -- Antiderivatives. 
520 |a Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bridges a useful resource in calculus, linear and abstract algebra, analysis and differential equations. Students desiring to hone and develop their mathematical skills or with an interest in mathematics competitions must have this book in their personal libraries. 
650 0 |a Mathematics. 
650 0 |a Algebra. 
650 1 4 |a Mathematics. 
650 2 4 |a Algebra. 
700 1 |a Mortici, Cristinel.  |e author. 
700 1 |a Tetiva, Marian.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9780817643942 
856 4 0 |u http://dx.doi.org/10.1007/978-0-8176-4629-5  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)