Applied Real Analysis Assignment and Project Help

**Real Analysis** is a branch of mathematical analysis dealing with the numbers and real-valued functions of a real variable. Real analysis or the theory of functions of the real variables is the study of real numbers and their functions. It is a study that deals with concepts like differentiation, integration, functions, limits and continuity. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real numbers, and continuity, smoothness and related properties of real-valued functions.

Complex numbers are those which contain both real and imaginary numbers and complex analysis deals with complex numbers and their functions. We provide you with 24 ×7 online real analysis help. Our experts are math solvers who treat math problems as cool math games. Our experts can provide you quality solution at affordable price which will be delivered in your mailbox before the deadline.

**The topics on which most of the Real Analysis assignments/homeworks/projects are based are mentioned below:**

- Alaoglu's Weak Compactness Theorem
- Ascoli’s theorem
- Baire category theorem and consequences
- Banach contraction mapping theorem
- Bolzano–Weierstrass Theorem
- Chebychev's Inequality
- Closed Graph Theorem
- Construction of the Real Numbers
- Continuity - Uniform Continuity, Absolute Continuity
- Differentiation and Integration
- Euclidean spaces and its topology, norms, continuity, completeness
- Hahn-Banach theorem
- Hilbert spaces
- Lebesgue Measure
- Normed and metric spaces
- Open Mapping Theorem
- Orthonormal systems and Fourier Series
- Pointwise and uniform convergence
- Radon-Nikodym Theorem
- Relation to Complex Analysi
- Riesz-Markov theorem and Riesz lemma
- Schwartz functions and tempered distributions
- Series – Taylor Series, Fourier Series
- Signed Measures and Differentiation
- Stone-Weierstrass theorem
- The Fundamental Theorem of Calculus
- The Monotone Convergence Theorem
- The Weierstrass approximation theorem
- Uniform Boundedness Principle
- Various applications, like ordinary differential equations, optimization and numerical approximation.
- Weak topologies on Banach spaces

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