國立虎尾科技大學 |

Exploring Mathematics = Problem-Solving and Proof /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Exploring Mathematics/ by Daniel Grieser.
Reminder of title:	Problem-Solving and Proof /
Author:	Grieser, Daniel.
Description:	XI, 308 p. 77 illus., 15 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-319-90321-7
ISBN:	9783319903217

Exploring Mathematics = Problem-Solving and Proof /
Grieser, Daniel.

Exploring MathematicsProblem-Solving and Proof /[electronic resource] :by Daniel Grieser. - 1st ed. 2018. - XI, 308 p. 77 illus., 15 illus. in color.online resource. - Springer Undergraduate Mathematics Series,1615-2085. - Springer Undergraduate Mathematics Series,.

Introduction -- 1 First explorations -- 2 Recursion – a fundamental idea -- 3 Mathematical induction -- 4 Graphs -- 5 Counting -- 6 General problem solving strategies -- 7 Logic and proofs -- 8 Elementary number theory -- 9 The pigeonhole principle -- 10 The extremal principle -- 11 The invariance principle -- A A survey of problem-solving strategies -- B Basics on sets and maps -- List of symbols -- Glossary -- Lists of problems, theorems and methods -- Hints for selected exercises -- References.

Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.

ISBN: 9783319903217

Standard No.: 10.1007/978-3-319-90321-7doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA1-939

Dewey Class. No.: 510

Exploring Mathematics = Problem-Solving and Proof /
LDR:03112nam a22003975i 4500 001 994452
003 DE-He213
005 20200706114300.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319903217 $9 978-3-319-90321-7
024 7 $a 10.1007/978-3-319-90321-7 $2 doi
035 $a 978-3-319-90321-7
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 Grieser, Daniel. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1073793
245 1 0 $a Exploring Mathematics $h [electronic resource] : $b Problem-Solving and Proof / $c by Daniel Grieser.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XI, 308 p. 77 illus., 15 illus. in color. $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
490 1 $a Springer Undergraduate Mathematics Series, $x 1615-2085
505 0 $a Introduction -- 1 First explorations -- 2 Recursion – a fundamental idea -- 3 Mathematical induction -- 4 Graphs -- 5 Counting -- 6 General problem solving strategies -- 7 Logic and proofs -- 8 Elementary number theory -- 9 The pigeonhole principle -- 10 The extremal principle -- 11 The invariance principle -- A A survey of problem-solving strategies -- B Basics on sets and maps -- List of symbols -- Glossary -- Lists of problems, theorems and methods -- Hints for selected exercises -- References.
520 $a Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
650 0 $a Mathematics. $3 527692
650 0 $a Mathematics—Study and teaching . $3 1253684
650 1 4 $a Mathematics, general. $3 669694
650 2 4 $a Mathematics Education. $3 671509
650 2 4 $a Popular Science in Mathematics. $3 1067375
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319903194
776 0 8 $i Printed edition: $z 9783319903200
830 0 $a Springer Undergraduate Mathematics Series, $x 1615-2085 $3 1255356
856 4 0 $u https://doi.org/10.1007/978-3-319-90321-7
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)