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kundu s mazumder s number theory its applications 2022

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Textbook in PDF format Number Theory and its Applications is a textbook for students pursuing mathematics as major in undergraduate and postgraduate courses. Please note: Taylor & Francis does not sell or distribute the print book in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka. Fromancienttimes,numbertheoryhasalwaysoccupiedtheunquestionedhistoricalimportanceofthesubject.NumberTheoryisbothpureandappliedandatthesametimebothclassicalandmodern.Ithasbeentheobjectiveoftheauthorsforquitesometimetowriteanaccessibleandinvitingtextbooktonumbertheory.Foremost,thepresenttextbookwillcreateaneffectiveinstrumentforbothteachingandlearning.Theauthorsaimtointegratetherichnessandbeautyofthesubjectandatthesametimethebookisfullofunexpectedusefulness.Inthepresenttext,theauthorshaveworkedhardtoassemblemanycontrastingaspectsofnumbertheoryintoonestandardtextbook.Thisbookisidealforundergraduateandpostgraduatelevelstudents.Cer-tainlevelsofmathematicalreasoning,basicalgebraandrealanalysisarere-quiredasprerequisitestostudythematerialsofourtextbook.Thistextbookisdesignedinsuchamannerthatitwillservethepurposeforawiderangeofreaders.Someefforthasbeendevotedtomakethefirstfewchapterslesschallenging,butgraduallythechaptersbecomemorechallenging.Ateachjuncture,theinstructorhastodecidehowdeeplytopursueaparticulartopicbeforemovingaheadtoanewone. Prerequisites Theory of Divisibility Prime Numbers Theory of Congruences Fermat’s Little Theorem Arithmetic Functions Euler’s Generalization and φ–function Primitive Roots Theory of Quadratic Residues Integers of Special Forms Continued Fractions Few Non-Linear Diophantine Equations Integers as Sums of Squares Certainpplications on Number Theory

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kundu s mazumder s number theory its applications 2022

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