The Resource An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource)
An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource)
Resource Information
The item An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book provides a comprehensive, indepth 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 firstsemester 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.
 Language
 eng
 Extent
 1 online resource (XII, 648 pages)
 Contents

 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
 Isbn
 9783319779775
 Label
 An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra
 Title
 An Excursion through Elementary Mathematics, Volume III
 Title remainder
 Discrete Mathematics and Polynomial Algebra
 Statement of responsibility
 by Antonio Caminha Muniz Neto
 Language
 eng
 Summary
 This book provides a comprehensive, indepth 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 firstsemester 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Caminha Muniz Neto, Antonio
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks.
 Springer eBooks
 Problem Books in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Field theory (Physics)
 Discrete mathematics
 Label
 An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 9783319779775
 Dimensions
 unknown
 Extent
 1 online resource (XII, 648 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319779775
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319779775
 Other physical details
 24 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1032072982
 Label
 An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 9783319779775
 Dimensions
 unknown
 Extent
 1 online resource (XII, 648 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319779775
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319779775
 Other physical details
 24 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1032072982
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AnExcursionthroughElementaryMathematics/00Cfg3PgajQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AnExcursionthroughElementaryMathematics/00Cfg3PgajQ/">An Excursion through Elementary Mathematics, Volume III : Discrete Mathematics and Polynomial Algebra, by Antonio Caminha Muniz Neto, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>