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Fundamental of Complex Analysis (Solutions of Some Exercises)
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ome Exercises}} Complex analysis is the study of functions that exist in the complex plane, that is, functions with complex arguments and complex outputs. With roots i... , Weierstrass, and many others. Studying complex functions and their characteristics, such as continuity, di... imit, continuity and differentiability of complex functions. * Uniform continuity. * Analytic or regular
Special Functions by Dr. Muhey-U-Din
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====== Special Functions by Dr. Muhey-U-Din ====== These notes are provided and composed by Mr. [[:people:mu... the lectures by Dr. Muhey-U-Din. {{ notes:special-functions-muzammil-tanveer.jpg?nolink|Special Functions}} ^ Name |Special Functions | ^ Provider |Mr. Muzammil Tanveer | ^Lectured by |Dr. Muhey-U-Din | ^ Page
Mathematical Method by Sir Muhammad Awais Aun
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dress issues in mathematics and science. Algebra, functions, relations and associated graphs, calculus, and s... a Differential Equation * Linearly Independent Functions and the Wronskian * Criterion for Linear Independent Functions * Auxiliary Conditions * Separated and Mixed ... * Unit function * Bessel Equation and Bessel Functions * Basic Identities and Recurrence formula * P
Handwritten Notes of Real Analysis by Asim Marwat
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how real numbers, sequences and series, and real functions behave. It focuses on real numbers and frequently... er of the properties of real-valued sequences and functions, including convergence, limits, continuity, smoot... created to describe the study of real numbers and functions as well as to explore fundamental ideas like limi... alue theorem, Cauchy mean value theorem, monotone functions, critical point. * Chapter 05: Riemann Theory o
Mathematical Method by Muhammad Usman Hamid
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r transforms. Fourier analysis of the generalized functions. The Laplace transforms. Hankel transforms for th... pplication to boundary value problems. **Green’s Functions and Transform Methods:** Expansion for Green’s functions. Transform methods. Closed form Green’s functions. **Variational Methods:** Euler-Lagrange equations. Integ
Measure Theory by M Usman Hamid & Saima Akram
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asurable set * Completeness and Regularity * Functions and Integrals * Measurable Functions * Properties That Hold Almost Everywhere * Lebesgue integration:... Theorems * The Riemann Integral * Measurable Functions Again * Complex-Valued Functions, and * Image Measures, Convergence * Modes of Convergence * Defini
Real Analysis Handwritten Notes by Kaushef Salamat
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hlet Test * Abel's test * Limits (Limits of Functions) * Limits of Function at a Real Number * Sequ... on for Limits * Divergence Criteria * Bounded Functions * Sequeeze (Sandwich) Theorem * Some Extensio... mit Concepts * Monotone Function * Continuous Functions * Composition of Continuous Functions * Properties of Continuous Function * Extreme Value Theorem *
Advance Analysis by Ms. Iqra Liaqat
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* Countable set * Uncountable set * Choice functions * Cardinal number * Finite cardinal number ... plication of ordinals * Zorn's lemma * Choice functions * Set function * Finitely additive set functi... asure * Measurable function * Characteristics functions * Simple function * Riemann integration * M
Complex Analysis (Notes) by Ms. Iqra Liaqat
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on MathCity.org Complex analysis is the study of functions of complex numbers. It is useful in a variety of ... * Chapter 2: Analytic or regular or holomorphic functions (30) * Chapter 3: Elementary transcendental functions (112) * Chapter 4: Conformal Representation Mappin
Complex Analysis by M Usman Hamid
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plex numbers * Regions in the complex plane * Functions of a complex variable * Single valued functons * Multivalued functions * Transformation * Limits involving the point... * Derivatives * Analytics/Regular/Holomorphic functions * Cauchy-Riemann equations in rectangular coord
Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
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n’s and Stoke’s Theorem, Fourier Series: Periodic Functions, Functions of any period P-2L, Even and Odd Functions, Half Range Expansions, Fourier Transform: Laplace Transform, Z-t
Real Analysis Notes by Prof Syed Gul Shah
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ne that explores the complexities of mathematical functions, limits, and sequences, can often be a difficult ... y * Chapter 04: Differentiation * Chapter 05: Functions of Several Variables * Examples and Question ... r 06: Riemann-Stieltjes I ntegral * Chapter 07: Functions of Bounded Variation * Chapter 08: Improper Int
Functional Analysis by M Usman Hamid and Zeeshan Ahmad
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l analysis. It deals with analysis of functional (functions of functions). It concerned with infinite dimensional vector spaces (mainly function space) and mappings bet
General Topology by Azhar Hussain
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ctedness, compactness, and continuity. Continuous functions move points from one location to another. Compact
Measure Theory Notes by Anwar Khan
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equence * Sequence of $\mathcal{A}-$measurable functions & its limits & their properties * Larger & sma
Measure Theory Handwritten Notes by Asim Marwat
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Number Theory Notes by Anwar Khan
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Partial Differential Equations by M Usman Hamid
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