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MTH321: Real Analysis I (Spring 2023)
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om Chapter 02** - A convergent sequence of real number has one and only one limit (i.e. limit of the seq... }$ also converges to $s$. - For each irrational number $x$, there exists a sequence $\left\{ {{r}_{n}} \right\}$ of distinct rational numbers such that $\underset{n\to \infty }{\mathop{\lim... _{n}}}$ is convergent if and only if for any real number $\varepsilon >0$, there exists a positive integer
MATH 103: Number Theory
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====== MATH 103: Number Theory ====== ==== Objectives of the course ==== This course shall assume no experience of background in number theory of theoretical mathematics. The course introduces... erbolic ad logarithmic functions, introduction to number theory including divisibility, the Euclidean algorithm, ... ed books ==== - Kenneth H. Rosen, //Elementary number theory and its applications//, Addison-Wesley; 3 Sub edi
MTH604: Fixed Point Theory and Applications (Spring 2020)
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NOTOC~~ ~~DISCUSSION~~ ====== MTH604: Fixed Point Theory and Applications (Spring 2020) ====== ===== Cour... mapping on $X$ if and only if there exists a real number $\alpha <1$ such that $|T'(x)|\leq \alpha$ for al... n, A. Katok, F. Kirwan and P. Sarnak: Fixed Point Theory and Applications, Cambridge University Press, 200... - K. Geoble and W.A Kirk: Topics in Metric Fixed Theory, Cambridge university Press, 1990 - M.C. Joshi
MATH-301: Complex Analysis
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rse in complex analysis, giving the basics of the theory along with applications, with an emphasis on appl... * The Concept of Analytic Functions: The complex numbers and the complex plane<, Functions of a complex v... tip 80%> * http://en.wikipedia.org/wiki/Complex_number * SPDFICON http://math.furman.edu/~dcs/courses/... .wisc.edu/~angenent/Free-Lecture-Notes/freecomplexnumbers.pdf|Lecture Notes: Complex Numbers and the Compl
MTH322: Real Analysis II (Spring 2023)
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erentiation, integration, sequences and series of numbers, that is many notions included in [[atiq:fa21-mt... exists a convergent series $\sum M_n$ of positive numbers such that for all $x\in [a,b]$ $\left|f_n(x)\rig... third part will be related to application of the theory. **Questions from Chapter 01:** - Suppose that... exists a convergent series $\sum M_n$ of positive numbers such that for all $x\in [a,b]$ $\left|f_n(x)\rig
CHEM-501: Basic Mathematics for Chemist
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mple, determinant and matrices methods), operator theory, The eigen value problems and curve fitting. ===... r round tip 80%> * http://en.wikipedia.org/wiki/Number * A number is a mathematical object used to count, label, and measure. In mathematics, the definition of number has been extended over the years to include ...
MTH211: Discrete Mathematics (Fall 2020)
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y the continuity of functions and the set of real numbers. This course is introduction to discrete structu... - M.L. Lipson, S. Lipschutz, Schaum’s Outline of Theory and Problems of Discrete Mathematics, 3rd Edition... w York, 2007. - K.R. Parthasarathy, Basic Graph Theory. McGraw-Hill. 1994. - B. Bollobas, Graph Them-y... d Sons. Inc New York, 2002. - R. Diestel, Graph Theory, 4th edition, Springer-Verlag. New York. 2010.
MATH-300: Basic Mathematics for Chemist
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mple, determinant and matrices methods), operator theory, The eigen value problems and curve fitting. ===... r round tip 80%> * http://en.wikipedia.org/wiki/Number * A number is a mathematical object used to count, label, and measure. In mathematics, the definition of number has been extended over the years to include ...
MATH-505: Complex Analysis
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rse in complex analysis, giving the basics of the theory along with applications, with an emphasis on appl... * The Concept of Analytic Functions: The complex numbers and the complex plane<, Functions of a complex v... nks===== * http://en.wikipedia.org/wiki/Complex_number * SPDFICON http://math.furman.edu/~dcs/courses/... .wisc.edu/~angenent/Free-Lecture-Notes/freecomplexnumbers.pdf * Computational Knowledge Engine: http://w
MTH211: Discrete Mathematics (Fall 2020)
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y the continuity of functions and the set of real numbers. This course is introduction to discrete structu... - M.L. Lipson, S. Lipschutz, Schaum’s Outline of Theory and Problems of Discrete Mathematics, 3rd Edition... w York, 2007. - K.R. Parthasarathy, Basic Graph Theory. McGraw-Hill. 1994. - B. Bollobas, Graph Them-y... d Sons. Inc New York, 2002. - R. Diestel, Graph Theory, 4th edition, Springer-Verlag. New York. 2010.
MTH211: Discrete Mathematics (Spring 2022)
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y the continuity of functions and the set of real numbers. This course is introduction to discrete structu... - M.L. Lipson, S. Lipschutz, Schaum’s Outline of Theory and Problems of Discrete Mathematics, 3rd Edition... w York, 2007. - K.R. Parthasarathy, Basic Graph Theory. McGraw-Hill. 1994. - B. Bollobas, Graph Them-y... d Sons. Inc New York, 2002. - R. Diestel, Graph Theory, 4th edition, Springer-Verlag. New York. 2010.
MTH211: Discrete Mathematics (Spring 2020)
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y the continuity of functions and the set of real numbers. This course is introduction to discrete structu... dition. 2007. - K.R. Parthasarathy, Basic Graph Theory. McGraw-Hill. 1994. - B. Bollobas, Graph Them-y... d Sons. Inc New York, 2002. - R. Diestel, Graph Theory, 4th edition, Springer-Verlag. New York. 2010.
MTH633: Advanced Convex Analysis (Spring 2019)
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NEW ====Terms & Samples==== * $\mathbb{R}$ and number sense * $\mathbb{R}^n$ and subsets of $\mathbb{... . * Analysis: Convex Analysis and approximation theory‎by R. V. Gamkrelidze, Sergeĭ Mikhaĭlovich Nikolsk