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**Algebraic Topology** written by ** Michael Starbird **
This is an other great mathematics book cover the following topics.

Basic Examples, Simplices, Simplicial Complexes, 2-manifolds, 2-manifolds as simplicial complexes, 2-manifolds as quotient spaces, Questions

Classification of 2-manifolds, Classification Proof I, Classification Proof II, PL Homeomorphism, Invariants, Euler characteristic, Orientability, CW complexes, 2-manifolds with boundary, *Non-compact surfaces

Fundamental group, Cartesian products, Induced homomorphisms, Retractions and fixed points, Van Kampen’s Theorem I, Van Kampen’s Theorem: simply connected intersection case, Van Kampen’s Theorem: simply connected pieces case, Fundamental groups of surfaces, Van Kampen’s Theorem, II, 3-manifolds, Lens spaces, Knots in S3, Homotopy equivalence of spaces, Higher homotopy groups, Covering spaces, Theorems about groups

Z2 homology, Simplicial Z2 homology, CW Z2-homology, Homology from parts, special cases, Chain groups and induced homomorphisms, Applications of Z2 homology, Z2 Mayer-Vietoris Theorem, Introduction to simplicial Z-homology, Chains, boundaries, and definition of simplicial Zhomology, Chain groups and induced homomorphisms, Relationship between fundamental group and first homology, Mayer-Vietoris Theorem

Download Free PDF Algebraic Topology by Michael Starbird

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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?

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