Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

More about us

**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Boolean Algebra Books **. We hope students and teachers like these **textbooks**, notes and **solution manuals**.

**Share this page:- **

**About this book :- **
**Boolean Algebra ** written by
** Reuben Goodstein **.

The fifth and last chapter of this books is more important becuase in last chapter Boolean algebra is examined in the setting of the theory of partial order. The treatment is entirely elementary and my aim has been to use Boolean algebra as a simple medium for introducing important concepts of modern algebra.

**Book Detail :- **
** Title: ** Boolean Algebra
** Edition: **
** Author(s): ** Reuben Louis Goodstein
** Publisher: ** Dover Publications
** Series: **
** Year: ** 2012
** Pages: ** 164
** Type: ** PDF
** Language: ** Englsih
** ISBN: ** 9780486154978,0486154971
** Country: ** US

Get Similar Books from Amazon

**About Author :- **

The author ** Reuben Louis Goodstein ** , University of Leicester.

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
**Boolean Algebra ** written by
** Reuben Goodstein **
cover the following topics.
**1. The Informal Algebra of Classes**

Union, intersection and complementation. The commutative, associative and distributive laws. Difference and symmetric difference. Venn diagrams. Examples I
**2. The Self-Dual System of Axioms**

Standard forms. Completeness of the axiom systems. Independence of the axioms. An algebra of pairs. Isomorphism and homomorphism. Examples II
**3. Boolean Equations**

A bi-operational system of axioms. Equivalence of the two formalizations. The general solutions of Boolean equations. Congruence relations. Independence of the axioms. Examples III
**4. Sentence Logic**

Sentence logic as a model of Boolean algebra. The third system of axioms. Truth-table completeness. Independence of the axioms. The deduction theorem. Examples IV
**5. Lattices **

Partially ordered sets. Atoms, minimal and maximal elements. Upper and lower bounds. Distributive lattices. Complemented distributive lattices. Union and intersection ideals. The lattice of union ideals. Representation theorems for Boolean algebras. A denumerable Boolean algebra. Newman algebra. Examples V

Solutions to Examples

Bibliography

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

Divison related shortcut Tricks

- 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

Prime Number related shortcut Tricks

- 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) ?