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Metric Spaces (Notes)
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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]
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
Topology: Handwritten Notes
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e * Bolzano Weierstrass property * Lebesgue number; Big set; Lebesgue covery lemma * $\varepsilon
General Topology by Azhar Hussain
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e those that can be completely covered by a small number of sets of any size. Connected sets are sets that
Complex Analysis by M Usman Hamid
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ion) * The modulus or absolute value of complex number * Complex conjugates * Argument (amplitude) o
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
Complex Analysis (Notes) by Ms. Iqra Liaqat
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mathematical fields, such as algebraic geometry, number theory, analytic combinatorics, and applied mathe
Computing Tools for Mathematics by Asif Arshad
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solve mathematical issues. They are employed in a number of scientific, technical, industrial, and technol
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
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
Notes for Numerical Methods by M Usman Hamid
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orithm depends upon the following properties: - Number of computations i.e. Addition, Subtraction, Multi
Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
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Equations - Determinants - Metric Spaces - Number Theory - Ordinary Differential Equations - In
Measure Theory Notes by Anwar Khan
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given set. Additionally, the function must meet a number of requirements, such as being countably additive
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... and $t\ne 0$. * Theorem: For each irrational number //x//, there exists a sequence $\left\{{r_n}\righ... al Principle for Convergence): A sequence of real number is convergent if and only if it is a Cauchy seque
Handwritten Notes of Real Analysis by Asim Marwat
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Advance Analysis by Ms. Iqra Liaqat
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Advanced Analysis: Handwritten Notes
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Real Analysis Handwritten Notes by Kaushef Salamat
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