國立虎尾科技大學 |

An excursion through elementary mathematics.. Volume III,. Discrete mathematics and polynomial algebra

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An excursion through elementary mathematics./ by Antonio Caminha Muniz Neto.
remainder title:	Discrete mathematics and polynomial algebra
Author:	Muniz Neto, Antonio Caminha.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xii, 648 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Computer science - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-77977-5
ISBN:	9783319779775

An excursion through elementary mathematics.. Volume III,. Discrete mathematics and polynomial algebra
Muniz Neto, Antonio Caminha.

An excursion through elementary mathematics.Volume III,Discrete mathematics and polynomial algebra[electronic resource] /Discrete mathematics and polynomial algebraby Antonio Caminha Muniz Neto. - Cham :Springer International Publishing :2018. - xii, 648 p. :ill., digital ;24 cm. - Problem books in mathematics,0941-3502. - Problem books in mathematics..

Chapter 01- Elementary Counting Techniques -- Chapter 02- More Counting Techniques -- Chapter 03- Generating Functions -- Chapter 04- Existence of Configurations -- Chapter 05- A Glimpse on Graph Theory -- Chapter 06- Divisibility -- Chapter 07- Diophantine Equations -- Chapter 08- Arithmetic Functions -- Chapter 09- Calculus and Number Theory -- Chapter 10- The Relation of Congruence -- Chapter 11- Congruence Classes -- Chapter 12- Primitive Roots and Quadratic Residues -- Chapter 13- Complex Numbers -- Chapter 14- Polynomials. Chapter 15- Roots of Polynomials -- Cahpter 16- Relations Between Roots and Coefficients -- Chapter 17- Polynomials over R -- Chapter 18- Interpolation of Polynomials -- Chapter 19- On the Factorization of Polynomials -- Chapter 20- Algebraic and Transcendental Numbers -- Chapter 21- Linear Recurrence Relations -- Chapter 22- Hints and Solutions.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

ISBN: 9783319779775

Standard No.: 10.1007/978-3-319-77977-5doiSubjects--Topical Terms:

528496
Computer science
--Mathematics.

LC Class. No.: QA76.9.M35

Dewey Class. No.: 004.0151

An excursion through elementary mathematics.. Volume III,. Discrete mathematics and polynomial algebra
LDR:03199nam a2200337 a 4500 001 925863
003 DE-He213
005 20180417135935.0
006 m d
007 cr nn 008maaau
008 190625s2018 gw s 0 eng d
020 $a 9783319779775 $q (electronic bk.)
020 $a 9783319779768 $q (paper)
024 7 $a 10.1007/978-3-319-77977-5 $2 doi
035 $a 978-3-319-77977-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.M35
072 7 $a PBD $2 bicssc
072 7 $a MAT008000 $2 bisacsh
082 0 4 $a 004.0151 $2 23
090 $a QA76.9.M35 $b M966 2018
100 1 $a Muniz Neto, Antonio Caminha. $3 1203933
245 1 3 $a An excursion through elementary mathematics. $n Volume III, $p Discrete mathematics and polynomial algebra $h [electronic resource] / $c by Antonio Caminha Muniz Neto.
246 3 0 $a Discrete mathematics and polynomial algebra
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xii, 648 p. : $b ill., digital ; $c 24 cm.
490 1 $a Problem books in mathematics, $x 0941-3502
505 0 $a Chapter 01- Elementary Counting Techniques -- Chapter 02- More Counting Techniques -- Chapter 03- Generating Functions -- Chapter 04- Existence of Configurations -- Chapter 05- A Glimpse on Graph Theory -- Chapter 06- Divisibility -- Chapter 07- Diophantine Equations -- Chapter 08- Arithmetic Functions -- Chapter 09- Calculus and Number Theory -- Chapter 10- The Relation of Congruence -- Chapter 11- Congruence Classes -- Chapter 12- Primitive Roots and Quadratic Residues -- Chapter 13- Complex Numbers -- Chapter 14- Polynomials. Chapter 15- Roots of Polynomials -- Cahpter 16- Relations Between Roots and Coefficients -- Chapter 17- Polynomials over R -- Chapter 18- Interpolation of Polynomials -- Chapter 19- On the Factorization of Polynomials -- Chapter 20- Algebraic and Transcendental Numbers -- Chapter 21- Linear Recurrence Relations -- Chapter 22- Hints and Solutions.
520 $a This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
650 0 $a Computer science $x Mathematics. $3 528496
650 0 $a Polynomials. $3 528565
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Discrete Mathematics. $3 796600
650 2 4 $a Field Theory and Polynomials. $3 672025
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Problem books in mathematics. $3 881278
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-77977-5
950 $a Mathematics and Statistics (Springer-11649)