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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)

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
Creator
Subject
Language
eng
Summary
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.--
Member of
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-77977-5
Instantiates
Publication
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
978-3-319-77977-5
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, non-commercial 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
10.1007/978-3-319-77977-5
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)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-77977-5
Publication
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
978-3-319-77977-5
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, non-commercial 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
10.1007/978-3-319-77977-5
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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