國立高雄大學圖資館 |

Language: English

Back

Understand mathematics, understand c...

Rosenberg, Arnold L.

Understand mathematics, understand computingdiscrete mathematics that all computing students should know /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Understand mathematics, understand computingby Arnold L. Rosenberg, Denis Trystram.
Reminder of title:	discrete mathematics that all computing students should know /
Author:	Rosenberg, Arnold L.
other author:	Trystram, Denis.
Published:	Cham :Springer International Publishing :2020.
Description:	xxvii, 550 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Computer scienceMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-58376-7
ISBN:	9783030583767$q(electronic bk.)

Understand mathematics, understand computingdiscrete mathematics that all computing students should know /
Rosenberg, Arnold L.

Understand mathematics, understand computingdiscrete mathematics that all computing students should know /[electronic resource] :by Arnold L. Rosenberg, Denis Trystram. - Cham :Springer International Publishing :2020. - xxvii, 550 p. :ill. (some col.), digital ;24 cm.

Introduction -- "Doing" Mathematics: A Toolkit for Mathematical Reasoning -- Sets and Their Algebras: The Stem Cells of Mathematics -- Numbers I: The Basics of Our Number System -- Arithmetic: Putting Numbers to Work -- Summations: Complex Operations from Simple Components -- The Vertigo of Infinity: Handling the Very Large and the Infinite -- Numbers II: Building the Integers and Building with the Integers -- Recurrences: Rendering Complex Structure Manageable -- Numbers III: Operational Representations and Their Consequences -- The Art of Counting: Combinatorics, Probability, and Statistics -- Graphs I: Representing Relationships Mathematically -- Graphs II: Graphs Within Computation and Communication -- Solutions to Exercises -- App. A, Pairing Functions -- App. B, A Deeper Look at the Fibonacci Numbers -- App. C, Two Recurrence-Defined Number Families -- App. D, Signed-Digit Numerals: Carry-Free Addition -- App. E, The Diverse Delights of de Bruijn Networks -- List of Symbols -- References -- Index.

In this book the authors aim to endow the reader with an operational, conceptual, and methodological understanding of the discrete mathematics that can be used to study, understand, and perform computing. They want the reader to understand the elements of computing, rather than just know them. The basic topics are presented in a way that encourages readers to develop their personal way of thinking about mathematics. Many topics are developed at several levels, in a single voice, with sample applications from within the world of computing. Extensive historical and cultural asides emphasize the human side of mathematics and mathematicians. By means of lessons and exercises on "doing" mathematics, the book prepares interested readers to develop new concepts and invent new techniques and technologies that will enhance all aspects of computing. The book will be of value to students, scientists, and engineers engaged in the design and use of computing systems, and to scholars and practitioners beyond these technical fields who want to learn and apply novel computational ideas.

ISBN: 9783030583767$q(electronic bk.)

Standard No.: 10.1007/978-3-030-58376-7doiSubjects--Topical Terms:

181991
Computer science
--Mathematics.

LC Class. No.: QA76.9.M35

Dewey Class. No.: 004.0151

Understand mathematics, understand computingdiscrete mathematics that all computing students should know /
LDR:03191nmm a2200337 a 4500 001 591363
003 DE-He213
005 20201205083425.0
006 m d
007 cr nn 008maaau
008 210629s2020 sz s 0 eng d
020 $a 9783030583767$q(electronic bk.)
020 $a 9783030583750$q(paper)
024 7 $a 10.1007/978-3-030-58376-7 $2 doi
035 $a 978-3-030-58376-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.M35
072 7 $a UYA $2 bicssc
072 7 $a COM018000 $2 bisacsh
072 7 $a UYA $2 thema
072 7 $a UYAM $2 thema
082 0 4 $a 004.0151 $2 23
090 $a QA76.9.M35 $b R813 2020
100 1 $a Rosenberg, Arnold L. $3 279128
245 1 0 $a Understand mathematics, understand computing $h [electronic resource] : $b discrete mathematics that all computing students should know / $c by Arnold L. Rosenberg, Denis Trystram.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xxvii, 550 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- "Doing" Mathematics: A Toolkit for Mathematical Reasoning -- Sets and Their Algebras: The Stem Cells of Mathematics -- Numbers I: The Basics of Our Number System -- Arithmetic: Putting Numbers to Work -- Summations: Complex Operations from Simple Components -- The Vertigo of Infinity: Handling the Very Large and the Infinite -- Numbers II: Building the Integers and Building with the Integers -- Recurrences: Rendering Complex Structure Manageable -- Numbers III: Operational Representations and Their Consequences -- The Art of Counting: Combinatorics, Probability, and Statistics -- Graphs I: Representing Relationships Mathematically -- Graphs II: Graphs Within Computation and Communication -- Solutions to Exercises -- App. A, Pairing Functions -- App. B, A Deeper Look at the Fibonacci Numbers -- App. C, Two Recurrence-Defined Number Families -- App. D, Signed-Digit Numerals: Carry-Free Addition -- App. E, The Diverse Delights of de Bruijn Networks -- List of Symbols -- References -- Index.
520 $a In this book the authors aim to endow the reader with an operational, conceptual, and methodological understanding of the discrete mathematics that can be used to study, understand, and perform computing. They want the reader to understand the elements of computing, rather than just know them. The basic topics are presented in a way that encourages readers to develop their personal way of thinking about mathematics. Many topics are developed at several levels, in a single voice, with sample applications from within the world of computing. Extensive historical and cultural asides emphasize the human side of mathematics and mathematicians. By means of lessons and exercises on "doing" mathematics, the book prepares interested readers to develop new concepts and invent new techniques and technologies that will enhance all aspects of computing. The book will be of value to students, scientists, and engineers engaged in the design and use of computing systems, and to scholars and practitioners beyond these technical fields who want to learn and apply novel computational ideas.
650 0 $a Computer science $x Mathematics. $3 181991
650 0 $a Mathematics. $3 184409
650 0 $a History. $3 263737
650 0 $a Computers. $3 202174
650 1 4 $a Mathematics of Computing. $3 273710
650 2 4 $a History of Mathematical Sciences. $3 511733
650 2 4 $a History of Computing. $3 276407
650 2 4 $a Theory of Computation. $3 274475
700 1 $a Trystram, Denis. $3 758233
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-58376-7
950 $a Computer Science (SpringerNature-11645)