The Resource Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)

Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)

Label
Discourses on Algebra
Title
Discourses on Algebra
Statement of responsibility
by Igor R. Shafarevich
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
I wish that algebra would be the Cinderella ofour story. In the math­ ematics program in schools, geometry has often been the favorite daugh­ ter. The amount of geometric knowledge studied in schools is approx­ imately equal to the level achieved in ancient Greece and summarized by Euclid in his Elements (third century B. C. ). For a long time, geom­ etry was taught according to Euclid; simplified variants have recently appeared. In spite of all the changes introduced in geometry cours­ es, geometry retains the influence of Euclid and the inclination of the grandiose scientific revolution that occurred in Greece. More than once I have met a person who said, "I didn't choose math as my profession, but I'll never forget the beauty of the elegant edifice built in geometry with its strict deduction of more and more complicated propositions, all beginning from the very simplest, most obvious statements!" Unfortunately, I have never heard a similar assessment concerning al­ gebra. Algebra courses in schools comprise a strange mixture of useful rules, logical judgments, and exercises in using aids such as tables of log­ arithms and pocket calculators. Such a course is closer in spirit to the brand of mathematics developed in ancient Egypt and Babylon than to the line of development that appeared in ancient Greece and then con­ tinued from the Renaissance in western Europe. Nevertheless, algebra is just as fundamental, just as deep, and just as beautiful as geometry
Member of
http://library.link/vocab/creatorName
Shafarevich, Igor R
Dewey number
512
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
hPSv4ZY_Keo
Image bit depth
0
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Algebra
  • Number theory
  • Algebra
  • Number Theory
Label
Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)
Instantiates
Publication
Note
Includes index
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
1. Integers (Topic: Numbers) -- 1. ?2 Is Not Rational -- 2. The Irrationality of Other Square Roots -- 3. Decomposition into Prime Factors -- 2. Simplest Properties of Polynomials (Topic: Polynomials) -- 4. Roots and the Divisibility of Polynomials -- 5. Multiple Roots and the Derivative -- 6. Binomial Formula -- 3. Finite Sets (Topic: Sets) -- 7. Sets and Subsets -- 8. Combinatorics -- 9. Set Algebra -- 10. The Language of Probability -- 4. Prime Numbers (Topic: Numbers) -- 11. The Number of Prime Numbers is Infinite -- 12. Euler’s Proof That the Number of Prime Numbers is Infinite -- 13. Distribution of Prime Numbers -- 5. Real Numbers and Polynomials (Topic: Numbers and Polynomials) -- 14. Axioms of the Real Numbers -- 15. Limits and Infinite Sums -- 16. Representation of Real Numbers as Decimal Fractions -- 17. Real Roots of Polynomials -- 6. Infinite Sets (Topic: Sets) -- 18. Equipotence -- 19. Continuum -- 20. Thin Sets -- Supplement: Normal Numbers -- 7. Power Series (Topic: Polynomials) -- 21. Polynomials as Generating Functions -- 22. Power Series -- 23. Partitio Numerorum -- Dates of Lives of Mathematicians Mentioned in the Text
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (X, 279 p. 2 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642563256
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-56325-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000103950
  • (SSID)ssj0000805866
  • (PQKBManifestationID)11439626
  • (PQKBTitleCode)TC0000805866
  • (PQKBWorkID)10840666
  • (PQKB)10864304
  • (DE-He213)978-3-642-56325-6
  • (MiAaPQ)EBC3090210
  • (EXLCZ)993400000000103950
Label
Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)
Publication
Note
Includes index
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
1. Integers (Topic: Numbers) -- 1. ?2 Is Not Rational -- 2. The Irrationality of Other Square Roots -- 3. Decomposition into Prime Factors -- 2. Simplest Properties of Polynomials (Topic: Polynomials) -- 4. Roots and the Divisibility of Polynomials -- 5. Multiple Roots and the Derivative -- 6. Binomial Formula -- 3. Finite Sets (Topic: Sets) -- 7. Sets and Subsets -- 8. Combinatorics -- 9. Set Algebra -- 10. The Language of Probability -- 4. Prime Numbers (Topic: Numbers) -- 11. The Number of Prime Numbers is Infinite -- 12. Euler’s Proof That the Number of Prime Numbers is Infinite -- 13. Distribution of Prime Numbers -- 5. Real Numbers and Polynomials (Topic: Numbers and Polynomials) -- 14. Axioms of the Real Numbers -- 15. Limits and Infinite Sums -- 16. Representation of Real Numbers as Decimal Fractions -- 17. Real Roots of Polynomials -- 6. Infinite Sets (Topic: Sets) -- 18. Equipotence -- 19. Continuum -- 20. Thin Sets -- Supplement: Normal Numbers -- 7. Power Series (Topic: Polynomials) -- 21. Polynomials as Generating Functions -- 22. Power Series -- 23. Partitio Numerorum -- Dates of Lives of Mathematicians Mentioned in the Text
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (X, 279 p. 2 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642563256
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-56325-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000103950
  • (SSID)ssj0000805866
  • (PQKBManifestationID)11439626
  • (PQKBTitleCode)TC0000805866
  • (PQKBWorkID)10840666
  • (PQKB)10864304
  • (DE-He213)978-3-642-56325-6
  • (MiAaPQ)EBC3090210
  • (EXLCZ)993400000000103950

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