國立虎尾科技大學 |

Mathematical Problems = An Essay on Their Nature and Importance /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical Problems/ by Craig Smoryński.
Reminder of title:	An Essay on Their Nature and Importance /
Author:	Smoryński, Craig.
Description:	VI, 406 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-50917-0
ISBN:	9783030509170

Mathematical Problems = An Essay on Their Nature and Importance /
Smoryński, Craig.

Mathematical ProblemsAn Essay on Their Nature and Importance /[electronic resource] :by Craig Smoryński. - 1st ed. 2020. - VI, 406 p.online resource.

1 Introduction -- 2 Logic Puzzles -- 3 Some Basic Mathematical Exercises -- 4 Probability -- 5 Graph Theory -- A Further Explorations -- Index.

The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, and their applications are wide. The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. The present book, aimed at the proverbial “bright high-school student”, takes a different, more philosophical approach, first dividing mathematical problems into three broad classes — puzzles, exercises, and open problems — and discussing their various roles in one’s mathematical education. Various chapters are devoted to discussing examples of each type of problem, along with their solutions and some of the developments arising from them. For the truly dedicated reader, more involved material is offered in an appendix. Mathematics does not exist in a vacuum, whence the author peppers the material with frequent extra-mathematical cultural references. The mathematics itself is elementary, for the most part pre-calculus. The few references to the calculus use the integral notation which the reader need not truly be familiar with, opting to read the integral sign as strange notation for area or as operationally defined by the appropriate buttons on his or her graphing calculator. Nothing further is required. Advance praise for Mathematical Problems "There are many books on mathematical problems, but Smoryński’s compelling book offers something unique. Firstly, it includes a fruitful classification and analysis of the nature of mathematical problems. Secondly, and perhaps most importantly, it leads the reader from clear and often amusing accounts of traditional problems to the serious mathematics that grew out of some of them." - John Baldwin, University of Illinois at Chicago "Smoryński manages to discuss the famous puzzles from the past and the new items in various modern theories with the same elegance and personality. He presents and solves puzzles and traditional topics with a laudable sense of humor. Readers of all ages and training will find the book a rich treasure chest." - Dirk van Dalen, Universiteit Utrecht.

ISBN: 9783030509170

Standard No.: 10.1007/978-3-030-50917-0doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA1-939

Dewey Class. No.: 510

Mathematical Problems = An Essay on Their Nature and Importance /
LDR:03968nam a22003975i 4500 001 1029421
003 DE-He213
005 20200919223810.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030509170 $9 978-3-030-50917-0
024 7 $a 10.1007/978-3-030-50917-0 $2 doi
035 $a 978-3-030-50917-0
050 4 $a QA1-939
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 510 $2 23
100 1 $a Smoryński, Craig. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326138
245 1 0 $a Mathematical Problems $h [electronic resource] : $b An Essay on Their Nature and Importance / $c by Craig Smoryński.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a VI, 406 p. $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 1 Introduction -- 2 Logic Puzzles -- 3 Some Basic Mathematical Exercises -- 4 Probability -- 5 Graph Theory -- A Further Explorations -- Index.
520 $a The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, and their applications are wide. The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. The present book, aimed at the proverbial “bright high-school student”, takes a different, more philosophical approach, first dividing mathematical problems into three broad classes — puzzles, exercises, and open problems — and discussing their various roles in one’s mathematical education. Various chapters are devoted to discussing examples of each type of problem, along with their solutions and some of the developments arising from them. For the truly dedicated reader, more involved material is offered in an appendix. Mathematics does not exist in a vacuum, whence the author peppers the material with frequent extra-mathematical cultural references. The mathematics itself is elementary, for the most part pre-calculus. The few references to the calculus use the integral notation which the reader need not truly be familiar with, opting to read the integral sign as strange notation for area or as operationally defined by the appropriate buttons on his or her graphing calculator. Nothing further is required. Advance praise for Mathematical Problems "There are many books on mathematical problems, but Smoryński’s compelling book offers something unique. Firstly, it includes a fruitful classification and analysis of the nature of mathematical problems. Secondly, and perhaps most importantly, it leads the reader from clear and often amusing accounts of traditional problems to the serious mathematics that grew out of some of them." - John Baldwin, University of Illinois at Chicago "Smoryński manages to discuss the famous puzzles from the past and the new items in various modern theories with the same elegance and personality. He presents and solves puzzles and traditional topics with a laudable sense of humor. Readers of all ages and training will find the book a rich treasure chest." - Dirk van Dalen, Universiteit Utrecht.
650 0 $a Mathematics. $3 527692
650 0 $a Logic. $3 558909
650 0 $a Graph theory. $3 527884
650 0 $a Probabilities. $3 527847
650 0 $a Mathematics—Philosophy. $3 1254283
650 1 4 $a Mathematics, general. $3 669694
650 2 4 $a Graph Theory. $3 786670
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Philosophy of Mathematics. $3 1108410
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030509163
776 0 8 $i Printed edition: $z 9783030509187
776 0 8 $i Printed edition: $z 9783030509194
856 4 0 $u https://doi.org/10.1007/978-3-030-50917-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)