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Real Analysis Notes by Prof Syed Gul Shah
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: Real Number system * Chapter 02: Sequence and Series * Sequence, Subsequence, Increasing Sequenc... to\infty}\left(\sup {s_n}\right)$. * Infinite Series. * Theorem: If $\sum_{n=1}^\infty{a_n}$ conv... * Theorem (General Principle of Convergence): A series $\sum{a_n}$ is convergent if and only if for any ... $. * Theorem: Let $\sum {a_n}$ be an infinite series of non-negative terms and let $\{s_n\}$ be a sequ
Fundamental of Complex Analysis (Solutions of Some Exercises)
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rentiability, analyticality, singularities, power series representation, and others, is the primary object... ary functions. * Complex Integration. * Power series and related theorems. * Taylor's' theorem * Mauritians' series * Laurent's' theorem * Singularities and calc... p111.pdf |Download PDF}}** * **Chapter 05:Power Series and Related Theorems** | **{{ :notes:solution-ch0
Real Analysis Handwritten Notes by Kaushef Salamat
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* Heine-Borel (Covering) Theorem * Infinite Series * Cauchy Criterion * Consequence of Cauchy ... on Test * Absolute and Conditionally Convergent Series * Rearrangement of Series * Test for Absolute Convergence, Cauchy Root Test * Ratio Test, Raabe's... First Log Test, Second Log Test * Alternating Series * Abel's Lemma * Dirichlet Test * Abel
Handwritten Notes of Real Analysis by Asim Marwat
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ics that analyses how real numbers, sequences and series, and real functions behave. It focuses on real nu... pdf |Download PDF}} * **Chapter 02: Sequence & Series** | {{ :notes:real-analysis-ch02-asim-marwat.pdf
Partial Differential Equations by M Usman Hamid
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nd Further Simplification, Exercises * FOURIER SERIES, FOURIER TRANSFORMATION AND INTEGRALS WITH APPLIC... urier Sine and Fourier Cosine, Exercises, Fourier Series and its complex form * LAPLACE TRANSFORMS
Advanced Analysis: Handwritten Notes
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rdinary Differential Equation * Hyper-geometric Series * Gamma Function * Beta Function * Relation
Complex Analysis (Notes) by Ms. Iqra Liaqat
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5: Complex Integration (236) * Chapter 6: Power series (294) * Chapter 7: Calculus of Residues (341)
Functional Analysis by Mr. Tahir Hussain Jaffery
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* Complete space * Banach space * Convergent series in spaces * Absolutely convergent (or absolutel
Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
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- Ordinary Differential Equations - Infinite Series Here are few samples: \\ - Complex numbers with
Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
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ce Integral, Green’s and Stoke’s Theorem, Fourier Series: Periodic Functions, Functions of any period P-2L
Notes for Numerical Methods by M Usman Hamid
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s of ordinary differential equations * Taylor’s series expansion * Euler’s method * Modified Euler m
Topology and Functional Analysis Solved Paper by Noman Khalid
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aire's category theorem * Absolutely convergent series * Finite dimensional normed space * Hilbert s