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The Resource Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)
Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)
Resource Information
The item Discourses on Algebra, by Igor R. Shafarevich, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Discourses on Algebra, by Igor R. Shafarevich, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 Language

 eng
 eng
 Edition
 1st ed. 2003.
 Extent
 1 online resource (X, 279 p. 2 illus.)
 Note
 Includes index
 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
 Isbn
 9783642563256
 Label
 Discourses on Algebra
 Title
 Discourses on Algebra
 Statement of responsibility
 by Igor R. Shafarevich
 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
 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
 QA150272
 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)
 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
 10.1007/9783642563256
 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
 (DEHe213)9783642563256
 (MiAaPQ)EBC3090210
 (EXLCZ)993400000000103950
 Label
 Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)
 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
 10.1007/9783642563256
 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
 (DEHe213)9783642563256
 (MiAaPQ)EBC3090210
 (EXLCZ)993400000000103950
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/DiscoursesonAlgebrabyIgorR.Shafarevich/HLn8xqNev5U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/DiscoursesonAlgebrabyIgorR.Shafarevich/HLn8xqNev5U/">Discourses on Algebra, by Igor R. Shafarevich, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>