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        <title>MathCity.org</title>
        <description>Merging man &amp; maths</description>
        <link>https://www.mathcity.org/</link>
        <lastBuildDate>Thu, 04 Jun 2026 18:51:17 +0000</lastBuildDate>
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            <url>https://www.mathcity.org/_media/logo.svg</url>
            <title>MathCity.org</title>
            <link>https://www.mathcity.org/</link>
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        <item>
            <title>Notes of Vector Analysis</title>
            <link>https://www.mathcity.org/bsc/notes_of_vector_analysis</link>
            <description>Notes of Vector Analysis

[Vector Ananlysis]
Notes of the vector analysis are given on this page. These notes are helpful for BSc or equivalent classes. These notes are written by Amir Taimur Mohmand of University of Peshawar.
The books of these notes is not known. If you know about the book, please inform us.$f$$P$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:54 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 11: The Laplace Transform</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch11_the_laplace_transform</link>
            <description>Chapter 11: The Laplace Transform

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin. This book is published by Ilmi Kitab Khana, Lahore - PAKISTAN. Solutions of Chapter 11: The Laplace Transform are given here in pdf form.  $f$$[0,\infty)$$f$$\mathcal{L}(f)$$F$$
provided the above improper integral converges. We have $</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 29 May 2022 17:43:26 +0000</pubDate>
        </item>
        <item>
            <title>Notes of Metric Spaces</title>
            <link>https://www.mathcity.org/bsc/notes_of_metric_spaces</link>
            <description>Notes of Metric Spaces

These notes are related to Section IV of B Course of Mathematics, paper B. We are very thankful to Mr. Tahir Aziz for sending these notes.


   Name   Notes of Metric Space     Author  Prof. Shahzad Ahmad Khan       Send by  Tahir Aziz</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:51 +0000</pubDate>
        </item>
        <item>
            <title>Notes of Fourier Series</title>
            <link>https://www.mathcity.org/bsc/notes-fouries-series</link>
            <description>Notes of Fourier Series

These notes are provided  by Mr. Muhammad Ashfaq. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org
 Name  Notes of Fluid Mechanics   Author  Qayyum Ullah Khan</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:46 +0000</pubDate>
        </item>
        <item>
            <title>Notes of Metric Spaces by Umer Asghar</title>
            <link>https://www.mathcity.org/bsc/notes-of-metric-spaces-umer-asghar</link>
            <description>Notes of Metric Spaces by Umer Asghar

These notes are related to Section IV of B Course of Mathematics, paper B. We are very thankful to Mr. Umer Asghar for sending these notes.


   Name   Notes of Metric Space     Author  Mr. Umer Asghar       Pages   19 pages</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:48 +0000</pubDate>
        </item>
        <item>
            <title>Notes of Number Theory by Umer Asghar</title>
            <link>https://www.mathcity.org/bsc/notes-of-number-theory-by-umer-asghar</link>
            <description>Notes of Number Theory by Umer Asghar


These notes are very helpful to prepare one of the sections paper of mathematics for BSc. 
 Author:   Umer Asghar   Type:  Composed   Format:  PDF (1.14 mB)    Pages:   24  
Contents and Summary

	*  Divisibility</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:48 +0000</pubDate>
        </item>
        <item>
            <title>Number Theory by Prof. Asghar Ali</title>
            <link>https://www.mathcity.org/bsc/number-theory-by-prof-asghar-ali</link>
            <description>Number Theory by Prof. Asghar Ali

[Number Theory by M Asghar Ali]

We are very thankful to Prof. Asghar Ali for send these notes. These notes are very helpful to prepare BSc or ADS mathematics portion of Number Theory. Number theory is a subject in which students learn different concepts created on the set of integers. For example, the concept of divisibilty exists in the set of integer. Let a and b be any two integers suhc that $a\neq 0$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Mon, 21 Mar 2022 19:38:31 +0000</pubDate>
        </item>
        <item>
            <title>Number Theory by Prof. M. Tanveer</title>
            <link>https://www.mathcity.org/bsc/number-theory-by-prof-m-tanveer</link>
            <description>Number Theory by Prof. M. Tanveer

[Number Theory by Prof. M. Tanveer]
These notes are very helpful to prepare one of the sections of mathematics for BSc. Also these notes can be used for other classes. 
 Author:   Prof. M. Tanveer   Type:  Handwritten   Format:  PDF (972 kB)    Pages:  $a,b, \in \mathbb{Z}$$a \neq 0$$a$$b$$c\in \mathbb{Z}$$b=ac$$a,b, \in \mathbb{Z}$$c \in \mathbb{Z}$$a$$b$$c | a$$c | b$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:40:54 +0000</pubDate>
        </item>
        <item>
            <title>Vector Analysis by Hameed Ullah: Notes</title>
            <link>https://www.mathcity.org/bsc/vector_analysis_by_hameed_ullah</link>
            <description>Vector Analysis by Hameed Ullah: Notes

[right triangle in semi circle]
Note of vector analysis by Hammed Ullah. These notes are send by Umer Asghar, we are very thankful to him for providing these notes. These notes are for helpful for undergraduate level (BSc or BS).
 Name  Notes of vector analysis</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:41:13 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 01: Real Numbers, Limits and Continuity</title>
            <link>https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch01_real_numbers_limits_and_continuity</link>
            <description>Chapter 01: Real Numbers, Limits and Continuity

[Chapter 01 of Calculus with Analytic Geometry]
Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 

The notes of this chapter is written by Prof. $\mathbb{R}$$\mathbb{R}$$\mathbb{R}$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:28 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 02: The Derivative</title>
            <link>https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch02_derivatives</link>
            <description>Chapter 02: The Derivative

[Chapter 02: The Derivative BSc Calculus]
Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 

Here are few online resource, which are very helpful to find derivative.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:28 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 06: Plane Curves I</title>
            <link>https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch06_plane_curves_i</link>
            <description>Chapter 06: Plane Curves I

Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.
[Conic section]

Contents and summary

	*  Conic sections
	*  The parabola
	*  The ellipse</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:31 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 07: Plane Curves II</title>
            <link>https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch07_plane_curves_ii</link>
            <description>Chapter 07: Plane Curves II

Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 
[Asymptote]

Contents and summary

	*  Asymptotes: A straight line $l$ is called an asymptote for a curve $C$$l$$C$$l$$l$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:32 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 08: Analytic Geometry of Three Dimensions</title>
            <link>https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch08_analytic_geometry_of_three_dimensions</link>
            <description>Chapter 08: Analytic Geometry of Three Dimensions

Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Contents &amp; Summary

	*  Distance between two points$\mathbb{R}^3$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:33 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 01: Complex Numbers</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch01_complex_numbers</link>
            <description>Chapter 01: Complex Numbers

[Chapter 01 Complex Numbers Methods]
Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 

A complex number is an element $(x,y)$ of the set
$$
\mathbb{R}^2=\{(x,y): x,y \in \mathbb{R}\}
$$
obeying the following rules of addition and multiplication.$z_1=(x_1,y_1)$$z_2=(x_2,y_2)$$z_1+z_2= (x_1+x_2, y_1+y_2)$$z_1 z_2 = (x_1 x_2 - y_1 y_2, x_1 y_2+y_1 x_2)$$\mathbb{R}^2$$\mathbb{C}$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Mon, 11 Dec 2023 12:59:57 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 02: Groups</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch02_groups</link>
            <description>Chapter 02: Groups

[Chapter 02: Groups]
Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Contents and summary

	*  Definition (axioms of group)
	*  Definition ( commutative group )
	*</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Mon, 11 Dec 2023 13:00:23 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 03: Matrices</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch03_matrices</link>
            <description>Chapter 03: Matrices

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

The difficulty level of this chapter is very low. Most of the questions involve calculations. This chapter is wide range of applications in Linear Algebra. In many universities teachers include this chapter in the syllabus of Linear Algebra for BS students of mathematics and other subjects.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:44 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 04: System of Linear Equations</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch04_system_of_linear_equations</link>
            <description>Chapter 04: System of Linear Equations

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

The difficulty level of this chapter is low. Most of the questions involve calculations. This chapter is wide range of applications in Linear Algebra and Operations Research. In many universities teachers include this chapter in the syllabus of Linear Algebra and Operations Research for BS students of mathematics and other …</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:45 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 06: Vector Spaces</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch06_vector_spaces</link>
            <description>Chapter 06: Vector Spaces

Notes of  Chapter 06 Vector Spaces of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Contents and summary

	*  Subspaces
	*  Linear combinations and spanning sets</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:47 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 07: Inner Product Spaces</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch07_inner_product_spaces</link>
            <description>Chapter 07: Inner Product Spaces

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Inner product spaces form and important topic of Functional Analysis. These are simply vector space over the field of real or complex numbers and with an inner product defined on them.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:48 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 08: Infinite Series</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch08_infinite_series</link>
            <description>Chapter 08: Infinite Series

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 

Infinite series are of great importance in both pure and applied mathematics. They play a significant role in Physics and engineering. In fact many functions can be represented by infinite series. The theory of infinite series is developed through the use of special kind of function called sequence.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:49 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 09: First Order Differential Equations</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch09_first_order_differential_equations</link>
            <description>Chapter 09: First Order Differential Equations

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Contents and summary

	*  D.E and their classification
	*  Formation of differential equation</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:50 +0000</pubDate>
        </item>
        <item>
            <title>Chapter 10: Higher Order Linear Differential Equations</title>
            <link>https://www.mathcity.org/bsc/notes_of_mathematical_method/ch10_higher_order_linear_differential_equations</link>
            <description>Chapter 10: Higher Order Linear Differential Equations

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Contents and summary

	*  Higher order linear differential equations</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:45:51 +0000</pubDate>
        </item>
        <item>
            <title>Notes of Vector Analysis (Online View)</title>
            <link>https://www.mathcity.org/bsc/notes_of_vector_analysis/view</link>
            <description>Notes of Vector Analysis (Online View)

PDF View of Notes of the Vector Analysis is given on this page. These notes are helpful for BSc or equivalent classes. PDF file of the notes can also be downloaded from this page. Contents of these notes are available</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:46:01 +0000</pubDate>
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