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- Notes of Mathematics
- dwritten notes by Mr Raheel Ahmad. </well> ===== Number Theory ===== <well> **[[Notes:algebraic-number-theory-notes-anwar-khan]]** \\ A handwritten notes of the Algebraic Number Theory by Mr. Anwar Khan. These notes covers many topics of the subject. </well> <well> **[[Notes:number-theory-handwritten-notes]]** \\ A small and comprehensiv
- Number Theory: Handwritten Notes @notes
- ====== Number Theory: Handwritten Notes ====== {{ :notes:number-theory-handwritten-notes.jpg?nolink&600|Number Theory: Handwritten Notes}} The study of the characteristics of the positive integers (1, 2, 3,...) is called number theory. It is significant because it has numerous uses in coding theory, combinatorics, cryptography, and other branches ... mputer science. Some mathematicians also refer to number theory as the "queen of mathematics" due to its grace an
- Algebraic Number Theory Notes by Anwar Khan @notes
- ====== Algebraic Number Theory Notes by Anwar Khan ====== {{ :notes:algebraic-number-theory-notes-anwar-khan.jpg?nolink|Algebraic Number Theory Notes by Anwar Khan}} Algebraic number theory is a subfield of number theory that studies integers, rational numbers, and their generalisations... im for providing these notes. ^ Name |Algebraic Number Theory: Notes | ^ Author |Anwar Khan | ^ Pages |110
- Number Theory by Dr Muhammad Umer Shuaib @notes
- ====== Number Theory by Dr Muhammad Umer Shuaib ====== {{ :notes:number-theory-muzammil-tanveer.jpg?nolink&600|Number Theory Notes}} A subfield of mathematics called number theory studies the characteristics of positive integers. Higher ... between various types of numbers, including prime numbers, rational numbers, and algebraic integers, is done using number theory, one of the oldest fields of mathematics. These
- Number Theory Notes by Anwar Khan @notes
- ====== Number Theory Notes by Anwar Khan ====== {{ :notes:number-theory-notes-anwar-khan.jpg?nolink|Number Theory Notes by Anwar Khan}} Mathematicians who specialize in number theory examine the characteristics and connections betwe... ctions between integers and arithmetic functions, number theory is interesting. It has numerous uses in coding theory, combinatorics, cryptography, and other branches
- Number Theory by Prof. Asghar Ali @bsc
- ======Number Theory by Prof. Asghar Ali====== {{ :bsc:number-theory-prof-asghar-ali.jpg?nolink|Number Theory by M Asghar Ali}} We are very thankful to Prof. [[:people:asgha... pful to prepare BSc or ADS mathematics portion of Number Theory. Number theory is a subject in which students learn different co... pe="success" icon="fa fa-download"> * **{{ :bsc:number-theory-prof-asghar-ali.pdf |Download PDF ~ 439KB}}** %%|
- MTH321: Real Analysis I (Spring 2023) @atiq
- om Chapter 02** - A convergent sequence of real number has one and only one limit (i.e. limit of the seq... }$ also converges to $s$. - For each irrational number $x$, there exists a sequence $\left\{ {{r}_{n}} \right\}$ of distinct rational numbers such that $\underset{n\to \infty }{\mathop{\lim... _{n}}}$ is convergent if and only if for any real number $\varepsilon >0$, there exists a positive integer
- Number Theory by Ms. Iqra Liaqat @msc:notes
- ======Number Theory by Ms. Iqra Liaqat====== {{ :msc:notes:number-theory-iqra-liaqat.jpg?nolink|Number Theory by Ms. Iqra Liaqat}} Notes of number theory provided Ms. Iqra Liaqat is a very good addition in the [[msc:notes... distribute these notes on MathCity.org ^ Name |Number Theory | ^ Provided by |Ms. Iqra Liaqat | ^ Pages |28
- Measure Theory Notes by Anwar Khan @notes
- ====== Measure Theory Notes by Anwar Khan ====== {{ :notes:measure-theory-notes-anwar-khan.jpg?nolink&600|Measure Theory Notes by Anwar Khan}} Measure theory is a branch of mathematics concerned with the concept of "measure,"
- MATH 103: Number Theory @atiq
- ====== MATH 103: Number Theory ====== ==== Objectives of the course ==== This course shall assume no experience of background in number theory of theoretical mathematics. The course introduces... erbolic ad logarithmic functions, introduction to number theory including divisibility, the Euclidean algorithm, ... ed books ==== - Kenneth H. Rosen, //Elementary number theory and its applications//, Addison-Wesley; 3 Sub edi
- Advanced Analysis: Handwritten Notes @notes
- Function * Characteristic Function * Cardinal Numbers * Arithmetic Cardinal Number * Transfinite Cardinal Numbers * Ordering of Cardinal Number * Exponent of Cardinal Numbers * Ordered Set * Partially Ordered S
- Preparation Guide @msc:syllabus:uos
- Physics By Laldin Baig. Optional Subjects: ===1. Number Theory ( analytic number theory and algebraic number theory ) === * [[MSc:Notes:Number Theory by Anwar Khan]] ===2. Advance Group Theory === Books: * Theory of Groups by Dr Abdul Majeed (from Chapter # 7 to last ) ===3. Mathematical statist
- ADS/BSc
- . </WRAP> <WRAP bsc center round 85%> Notes of number theory for BSc. These notes are related to Section II of... B for University of the Punjab. **[[BSc:Notes-of-Number-Theory-by-Umer-Asghar]]**\\ We are very thankful to Mr. Umer Asghar for sending these notes. **[[BSc:number-theory-by-prof-m-tanveer]]** \\ Handwritten notes of number theory by Prof. M. Tanveer. It include few definitions and
- Number Theory by Prof. M. Tanveer @bsc
- ====== Number Theory by Prof. M. Tanveer ====== {{ :bsc:number-theory-bsc-prof-m-tanveer.jpg?nolink|Number Theory by Prof. M. Tanveer}} These notes are very helpful to prepare o... ==== View online ==== {{gview noreference>:bsc:number-theory-bsc-prof-m-tanveer.pdf}} ==== Download ==== <cal... ype="success" icon="fa fa-download"> * **{{:bsc:number-theory-bsc-prof-m-tanveer.pdf|}}** </callout> {{tag>BS
- Khuram Ali Khan
- uality/ Jensen's type Inequalities in Information Theory//, Monographs in Inequalities 19, Element, Zagreb... vinson inequality with application to information theory, Journal of Inequalities and Applications, Articl... ečarić, Shannon Type Inequalities via Time Scales Theory, Advances in Difference Equations (Published Marc... rić, Some inequalities for Csiszar divergence via theory of time scales, Advances in Difference Equations