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Number Theory: Handwritten Notes
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====== Number Theory: Handwritten Notes ====== {{ :notes:number-theory-handwritten-notes.jpg?nolink&600|Number Theory: Handwritten Notes}} The study of the characteristi... of the positive integers (1, 2, 3,...) is called number theory. It is significant because it has numerous
Number Theory by Dr Muhammad Umer Shuaib
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====== 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 int
Algebraic Number Theory Notes by Anwar Khan
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====== 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
Number Theory Notes by Anwar Khan
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====== 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 connection
Advanced Analysis: Handwritten Notes
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Function * Characteristic Function * Cardinal Numbers * Arithmetic Cardinal Number * Transfinite Cardinal Numbers * Ordering of Cardinal Number * Exponent of Cardinal Numbers * Ordered Set * Partially Ordered S
Real Analysis Notes by Prof Syed Gul Shah
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= What is in the notes? ==== * Chapter 01: Real Number system * Chapter 02: Sequence and Series ... ence * Theorem: A convergent sequence of real number has one and only one limit (i.e. limit of the seq... Sequence * Theorem: A Cauchy sequence of real numbers is bounded. * Divergent Sequence * Theor... * Theorem: Let //a// and //b// be fixed real numbers if $\{s_n\}$ and $\{t_n\}$ converge to //s// and
Complex Analysis by M Usman Hamid
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e notes. The extension to the concept of complex numbers from that of real numbers was first necessitated by the solution of algebraic equations. For example, th... for details on topics. * Order pair * Complex numbers * Vectors interpretation on complex numbers (graphical representation) * The modulus or absolute val
Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
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for the following subjects are given. - Complex Numbers - Groups - Matrices - System of Linear Equations - Determinants - Metric Spaces - Number Theory - Ordinary Differential Equations - In... inite Series Here are few samples: \\ - Complex numbers with 0 as real part are called: - imaginary numbers - pure non real numbers - pure imaginary
Handwritten Notes of Real Analysis by Asim Marwat
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is a branch of mathematics that analyses how real numbers, sequences and series, and real functions behave. It focuses on real numbers and frequently extends the real line by includin... d negative infinity. Real analysis investigates a number of the properties of real-valued sequences and fu... alysis" was created to describe the study of real numbers and functions as well as to explore fundamental
Advance Analysis by Ms. Iqra Liaqat
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e given below. <grid> <col sm="6"> * Rational numbers * Proper subset * Function * One-one funct... Uncountable set * Choice functions * Cardinal number * Finite cardinal number * Exponent of cardinals * Schroeder Bernstein theorem * Continum hypothe... * Similar sets * Well ordered set * Ordinal numbers * Axiom of choice * Zorn's lemma </col> <co
Real Analysis Handwritten Notes by Kaushef Salamat
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* Condensation Property * The Extended Real Number System * Absolute Value of a Real Number * Schwarz Inequality * Euclidean Space * Inner Pr... * Sequences * Monotone Sequences * Euler Number * Subsequences * Urysohn Property *... auchy's Second theorem on Limit * Sets of Real Numbers * Heine-Borel (Covering) Theorem * Infinit
Metric Spaces (Notes)
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ll $B(x;r)$ with centre //x// contain an infinite numbers of point of //A//. * Closure of a Set * Dens... space **C** of all convergent sequence of complex number is complete. * Theorem: The space $l^p,p\ge1$ is a real number, is complete. * Theorem: The space **C**[a, b]
Complex Analysis (Notes) by Ms. Iqra Liaqat
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lex analysis is the study of functions of complex numbers. It is useful in a variety of mathematical fields, such as algebraic geometry, number theory, analytic combinatorics, and applied mathe
Complex Analysis (Quick Review)
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ted by a polygonal line that consists of a finite number of line segments joined end to end that lies enti... ed contour $C$ in $D$, $\int_C f(z) dz =0$. * A number $z_0$ is zero of $f(z)$ if $f(z_0)=0$. {{include
Fundamental of Complex Analysis (Solutions of Some Exercises)
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gures in mathematics who are connected to complex numbers include Euler, Gauss, Riemann, Cauchy, Gösta Mit... st important ones. * Basic concepts and complex numbers. * Limit, continuity and differentiability of
Measure Theory Notes by Anwar Khan
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Complex Analysis (Easy Notes of Complex Analysis)
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Computing Tools for Mathematics by Asif Arshad
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General Topology by Azhar Hussain
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Notes for Numerical Methods by M Usman Hamid
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Topology: Handwritten Notes
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