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Measure Theory Notes by Anwar Khan
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d volume are generalised via measurements to more abstract environments, such as infinite-dimensional spaces... =What is in the notes?==== <grid><col sm="6"> * Algebra on $X$ * Sigma Algebra i.e. $\sigma-$algebra on $X$ * Trivial $\sigma-$algebra; Largest $\sigma-$algebra * Increasin & sequen
Functional Analysis by M Usman Hamid and Zeeshan Ahmad
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ematics to it readers. Functional analysis is an abstract branch of mathematics that originated from classi... n space) and mappings between them. It deals with abstract spaces and different operators define on these sp... nd its applications. The impetus came from linear algebra, linear ordinary and partial differential equatio
Algebraic Number Theory Notes by Anwar Khan
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rational numbers, and their generalisations using abstract algebra techniques. It covers Galois theory, ideals and u
Differential Geometry by M Usman Hamid
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G). it is the study of curves, surfaces and their abstract generalization. The study of DG required two primary tools; Linear Algebra and Calculus ^ Name |Differential Geometry | ^