Part 4: Doing Mathematics with CoCoA

Part 4 - Chapter 1 - Booleans
4.1.1. Introduction to Booleans
4.1.2. Commands and Functions for Booleans
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Part 4 - Chapter 2 - Numbers
4.2.1. Introduction to Numbers
4.2.2. Rationals
4.2.3. Numerators and Denominators for Rational Numbers
4.2.4. Modular Integers
4.2.5. Commands and Functions for Numbers
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Part 4 - Chapter 3 - Strings
4.3.1. Introduction to Strings
4.3.2. Concatenation
4.3.3. Substrings
4.3.4. Quotes Within Strings
4.3.5. Commands and Functions for Strings
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Part 4 - Chapter 4 - Lists
4.4.1. Introduction to Lists
4.4.2. Commands and Functions for Lists
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Part 4 - Chapter 5 - Records
4.5.1. Introduction to Records
4.5.2. Commands and Functions for Records
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Part 4 - Chapter 6 - Vectors
4.6.1. Introduction to Vectors
4.6.2. Commands and Functions for Vectors
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Part 4 - Chapter 7 - Matrices
4.7.1. Introduction to Matrices
4.7.2. Commands and Functions for Matrices
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Part 4 - Chapter 8 - Rings
4.8.1. Introduction to Rings
4.8.2. New Rings
4.8.3. Coefficient Rings
4.8.4. Indeterminates
4.8.5. Weights Modifier
4.8.6. Orderings
4.8.7. Predefined Term-Orderings
4.8.8. Temporary Term-Orderings
4.8.9. Custom Term-Orderings
4.8.10. Module Orderings
4.8.11. Accessing Other Rings
4.8.12. Ring Mappings: the Image Function
4.8.13. Quotient Rings
4.8.14. Commands and Functions for Rings
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Part 4 - Chapter 9 - Polynomials
4.9.1. Introduction to Polynomials
4.9.2. Evaluation of Polynomials
4.9.3. Commands and Functions for Polynomials
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Part 4 - Chapter 10 - Rational Functions
4.10.1. Introduction to Rational Functions
4.10.2. Numerators and Denominators for Rational Functions
4.10.3. Commands and Functions for Rational Functions
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Part 4 - Chapter 11 - Ideals
4.11.1. Introduction to Ideals
4.11.2. Commands and Functions for Ideals
4.11.3. Commands and Functions for Monomial Ideals
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Part 4 - Chapter 12 - Modules
4.12.1. Introduction to Modules
4.12.2. Quotient Modules
4.12.3. Shifts
4.12.4. Commands and Functions for Modules
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Part 4 - Chapter 13 - Groebner Bases and Related Computations
4.13.1. Introduction to Groebner Bases in CoCoA
4.13.2. Commands and Functions for Groebner-Type Computations
4.13.3. The Interactive Groebner Framework
4.13.4. Example: Interactive Groebner Basis Computation
4.13.5. Example: Verbose Mode
4.13.6. Example: Interactive Resolution Computation
4.13.7. Example: Truncations
4.13.8. Hilbert-Driven Computations
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Part 4 - Chapter 14 - CoCoAServer
4.14.1. Introduction to CoCoAServer
4.14.2. Frobby
4.14.3. Functions using CoCoAServer
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