國立高雄大學圖資館 |

Language: English

Back to Search results for [ author_sort:"smorynski, craig." ]

Mathematical problemsan essay on the...

Smorynski, Craig.

Mathematical problemsan essay on their nature and importance /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical problemsby Craig Smorynski.
Reminder of title:	an essay on their nature and importance /
Author:	Smorynski, Craig.
Published:	Cham :Springer International Publishing :2020.
Description:	vi, 406 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematics
Online resource:	https://doi.org/10.1007/978-3-030-50917-0
ISBN:	9783030509170$q(electronic bk.)

Mathematical problemsan essay on their nature and importance /
Smorynski, Craig.

Mathematical problemsan essay on their nature and importance /[electronic resource] :by Craig Smorynski. - Cham :Springer International Publishing :2020. - vi, 406 p. :ill., digital ;24 cm.

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 Smorynski'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 "Smorynski 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$q(electronic bk.)

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

252617
Mathematics

LC Class. No.: QA43

Dewey Class. No.: 510.76

Mathematical problemsan essay on their nature and importance /
LDR:03590nmm a2200325 a 4500 001 586241
003 DE-He213
005 20210128111714.0
006 m d
007 cr nn 008maaau
008 210323s2020 sz s 0 eng d
020 $a 9783030509170$q(electronic bk.)
020 $a 9783030509194$q(paper)
024 7 $a 10.1007/978-3-030-50917-0 $2 doi
035 $a 978-3-030-50917-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA43
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 510.76 $2 23
090 $a QA43 $b .S666 2020
100 1 $a Smorynski, Craig. $3 275721
245 1 0 $a Mathematical problems $h [electronic resource] : $b an essay on their nature and importance / $c by Craig Smorynski.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a vi, 406 p. : $b ill., digital ; $c 24 cm.
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 Smorynski'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 "Smorynski 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 252617
650 1 4 $a Mathematics, general. $3 274849
650 2 4 $a Logic. $3 180785
650 2 4 $a Graph Theory. $3 522732
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Philosophy of Mathematics. $3 745264
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-50917-0
950 $a Mathematics and Statistics (SpringerNature-11649)