Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 10:35:58 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/bsc/notes_of_mathematical_method/ch01_complex_numbers 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$$\mathbb{C}$ anonymous@undisclosed.example.com (Anonymous) Mon, 11 Dec 2023 12:59:57 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch08_infinite_series Chapter 08: Infinite Series Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Infinite series are of great importance in both pure and applied mathematics. They play a significant role in Physics and engineering. In fact many functions can be represented by infinite series. The theory of infinite series is developed through the use of special kind of function called sequence. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:49 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch11_the_laplace_transform Chapter 11: The Laplace Transform Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin. This book is published by Ilmi Kitab Khana, Lahore - PAKISTAN. Solutions of Chapter 11: The Laplace Transform are given here in pdf form. $f$$[0,\infty)$$f$$\mathcal{L}(f)$$F$$ provided the above improper integral converges. We have $ anonymous@undisclosed.example.com (Anonymous) Sun, 29 May 2022 17:43:26 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch07_inner_product_spaces 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. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:48 +0000