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**About this book :- **
**Introduction to Boolean Algebras ** written by
** Steven Givant, Paul Halmos **.

**Book Detail :- **
** Title: ** Introduction to Boolean Algebras
** Edition: **
** Author(s): ** Steven Givant, Paul Halmos
** Publisher: ** Springer
** Series: ** Undergraduate Texts in Mathematics
** Year: ** 2008
** Pages: ** 589
** Type: ** PDF
** Language: ** Englsih
** ISBN: ** 0387402934,9780387402932
** Country: ** US

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**About Author :- **

The author ** Steven Givant ** is Professor of Mills College, Department of Mathematics, Oakland, US.

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**Book Contents :- **
**Introduction to Boolean Algebras ** written by
** Steven Givant, Paul Halmos **
cover the following topics.

1. Boolean Rings

2. Boolean Algebras

3. Boolean Algebras Versus Rings

4. The Principle of Duality

5. Fields of Sets

6. Elementary Relations

7. Order

8. Infinite Operations

9. Topology

10. Regular Open Sets

11. Subalgebras

12. Homomorphisms

13. Extensions of Homomorphisms

14. Atoms

15. Finite Boolean Algebras

16. Atomless Boolean Algebras

17. Congruences and Quotients

18. Indeals and Filters

19. Lattices of Ideals

20. Maximal Indeals

21. Homomorphism and Isomorphism Theorems

22. The Representaion Theorem

23. Canonical Extensions

24. Complete Homomorphisms and Complete Ideals

25. Completions

26. Products of Algebras

27. Isomorphisms of Factors

28. Free Algebras

29. Boolean σ-algebras

30. The Countable Chain Condition

31. Measure Algebras

32. Boolean Spaces

33. Continuous Functions

34. Boolean Algebras and Boolean Spaces

35. Duality for Ideals

36. Duality for Homomorphisms

37. Duality for Subalgebras

38. Duality for Completeness

39. Boolean σ-spaces

40. The Representation of σ-algebras

41. Boolean Measure Spaces

42. Incomplete Algebras

43. Duality for Products

44. Sums of Algebras

45. Isomorphisms of Countable Factors

A Set Theory

B Hints to Selected Exercises

References

Index

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

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