If Set Theory assignments and coursework are giving you a hard time, then count on TutorsGlobe right away. Quality driven Set Theory Assignment Help service is available at the most competitive prices. So, hire us now and avail peace of mind right away!
Introduction to Set Theory:
The Set theory is a field of mathematics that studies sets. Sets are the collections of objects. However any kind of object can be collected into a set, the set theory is applied most frequently to objects which are relevant to mathematics. The set theory language can be used in the definitions of almost all mathematical objects.
The study of set theory was started by Georg Cantor and Richard Dedekind in the year 1870. Subsequent to the discovery of paradoxes in naive set theory, the number of axiom systems was proposed in the early 20th century.
Set theory is generally employed as a foundational system for mathematics, mostly in the form of Zermelo-Fraenkel set theory with the axiom of choice. Beyond the introductory role the set theory is a field of mathematics in its own right with an active research community. Contemporary research into set theory which includes a various collection of topics, varying from the structure of the real number line to the study of the consistency of large cardinals.
Table of set theory symbols
Symbol
Symbol Name
Meaning / definition
Example
{ }
set
a collection of elements
A={3,7,9,14}, B={9,14,28}
A ∩ B
intersection
objects that belong to set A and set B
A ∩ B = {9,14}
A ∪ B
union
objects that belong to set A or set B
A ∪ B = {3,7,9,14,28}
A ⊆ B
subset
subset has fewer elements or equal to the set
{9,14,28} ⊆ {9,14,28}
A ⊂ B
proper subset / strict subset
subset has fewer elements than the set
{9,14} ⊂ {9,14,28}
A ⊄ B
not subset
left set not a subset of right set
{9,66} ⊄ {9,14,28}
A ⊇ B
superset
set A has more elements or equal to the set B
{9,14,28} ⊇ {9,14,28}
A ⊃ B
proper superset / strict superset
set A has more elements than set B
{9,14,28} ⊃ {9,14}
A ? B
not superset
set A is not a superset of set B
{9,14,28} ? {9,66}
2A
power set
all subsets of A
? (A)
A = B
equality
both sets have the same members
A={3,9,14}, B={3,9,14}, A=B
Ac
complement
all the objects that do not belong to set A
A \ B
relative complement
objects that belong to A and not to B
A={3,9,14}, B={1,2,3}, A-B={9,14}
A - B
symmetric difference
objects that belong to A or B but not to their intersection
A={3,9,14}, B={1,2,3}, A ? B={1,2,9,14}
A={3,9,14}, B={1,2,3}, A ?B={1,2,9,14}
a∈A
element of
set membership
A={3,9,14}, 3 ∈ A
x∉A
not element of
no set membership
A={3,9,14}, 1 ∉ A
(a,b)
ordered pair
collection of 2 elements
A×B
Cartesian product
set of all ordered pairs from A and B
|A|
cardinality
the number of elements of set A
A={3,9,14}, |A|=3
#A
A={3,9,14}, #A=3
?
aleph
infinite cardinality
Ø
empty set
Ø = { }
C = {Ø}
U
universal set
set of all possible values
N0
natural numbers / whole numbers set (with zero)
N0 = {0,1,2,3,4,...}
0 ∈ N0
N1
natural numbers / whole numbers set (without zero)
N1 = {1,2,3,4,5,...}
6 ∈ N1
Z
integer numbers set
Z = {...-3,-2,-1,0,1,2,3,...}
-6 ∈ Z
Q
rational numbers set
Q = {x | x=a/b, a,b∈N}
2/6 ∈ Q
R
real numbers set
R = {x | -∞ < x <∞}
6.343434 ∈ R
C
complex numbers set
C = {z | z=a+bi, -∞<a<∞, -∞<b<∞}
6+2i ∈ C
Have you been assigned to draft a Set Theory assignment, which is giving you sleepless nights? If you nodded your head in response of yes, then sign up with TutorsGlobe right away and take a step towards academic success that too at a price that suits your pocket. Our tutors are capable to handle your any academic tasks with confidence, considering all the guidelines in mind. We never compromise with quality and deadline and are quite famous among students globally. So, it’s time to stop being scared, as industry best professional Set Theory Assignment Help tutors will handle your academic tasks and assure you nothing but guaranteed A++ grades.
Approach qualified and experienced Set Theory Assignment Help tutors and get a step forward towards acadeic success:
Tutors at the www.tutorsglobe.com take pledge to provide full satisfaction and assurance beneath Set Theory Homework Help. Students are getting Math Homework Help services across the globe with 100% satisfaction. We value all our service-users. We provide email based set theory homework help - assignment help. You can join us to ask queries 24x7 with live, experienced and qualified maths tutors specialized in set theory.
Avail instant help with Set Theory assignments on a wide range of topics, such as:
Email based Set theory Homework Help - Assignment Help:
Tutors at the www.tutorsglobe.com are committed to provide the best quality Set theory homework help - assignment help. They use their experience, as they have solved thousands of the set theory assignments, which may help you to solve your complex Set theory homework. You can find solutions for all the topics come under the set theory. The dedicated tutors provide eminence work on your Math homework help and devoted to provide K-12 level math to college level math help before the deadline mentioned by the student. Set theory homework help is available here for the students of school, college and university. Tutors Globe assure for the best quality compliance to your homework. Compromise with quality is not in our dictionary. If we feel that we are not able to provide the homework help as per the deadline or given instruction by the student, we refund the money of the student without any delay.
Our professional tutors are proficient at offering Assignment Help service on any Mathematics field irrespective of its difficulty level. Here is the list of some topics, recently covered by us:
If you would like to better comprehend your set theory concepts while as well want to enhance your grades, then our professional Set Theory Assignment Help experts are ready to help you in the best professional manner. Don't let difficult and tough academic tasks to hold you back – hire TutorsGlobe today and get the help you necessitate today!
tutorsglobe.com energy yield assignment help-homework help by online krebs cycle tutors
tutorsglobe.com conditions of price discrimination assignment help-homework help by online price discrimination tutors
tutorsglobe.com defects of the ear assignment help-homework help by online ear tutors
Types of Color tutorial all along with the key concepts of Primary colour, Additive primary colours, Subtractive primary colours, Secondary colours, Tertiary colours, Colours in the Home
Theory and lecture notes of Queues and Data communication all along with the key concepts of Queues and Data communication. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Queues and Data communication.
tutorsglobe.com larval microbiology assignment help-homework help by online microbiology tutors
tutorsglobe.com haemocytometer assignment help-homework help by online medical lab methods tutors
tutorsglobe.com scope of bioinformatics assignment help-homework help by online bioinformatics tutors
tutorsglobe.com factors affecting photosynthesis assignment help-homework help by online plant physiology tutors
tutorsglobe.com leverage consequence on roe assignment help-homework help by online leverage tutors
tutorsglobe.com uses of bioinformatics assignment help-homework help by online bioinformatics tutors
free energy functions tutorial all along with the key concepts of spontaneous and non-spontaneous processes, helmholtz free energy and gibbs free energy, physical importance of a and g, changes in a and g
tutorsglobe.com leaf assignment help-homework help by online root-stem and leaf tutors
www.tutorsglobe.com offers alkyl halide occurrence homework help, alkyl halide occurrence assignment help, online tutoring assistance, organic chemistry solutions by online qualified tutor's help.
Cytogenetics tutorial all along with the key concepts of Chromosome Abnormalities, Numerical Abnormalities, Structural Abnormalities, How do chromosome abnormalities take place, risk of chromosome abnormalities and Cytogenetics
1942433
Questions Asked
3689
Tutors
1481839
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!