000			04350cam a22005538i 4500
001			on1381095855
003			OCoLC
005			20241121073153.0
006			m d
007			cr |||||||||||
008			230517s2023 nyu ob 001 0 eng
010			_a 2023019292
040			_aDLC _beng _erda _cDLC _dYDX _dN$T _dEBLCP
019			_a1378770297
020			_a9798886978643 _q(adobe pdf)
020			_z9798886977943 _q(hardcover)
035			_a3619761 _b(N$T)
035			_a(OCoLC)1381095855 _z(OCoLC)1378770297
042			_apcc
050	0	0	_aQA241
082	0	0	_a512.7 _223/eng20230708
049			_aMAIN
100	1		_aKannan, J. _c(Mathematician), _eauthor. _924443
245	1	0	_aFundamental perceptions in contemporary number theory / _cJ. Kannan, Manju Somanath.
263			_a2307
264		1	_a[New York] : _b[Nova Science Publishers], _c[2023]
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aComputational Mathematics and Analysis Series
504			_aIncludes bibliographical references and index.
520			_a"The current state and future directions of numerous facets of contemporary number theory are examined in this book "Fundamental Perceptions in Contemporary Number Theory" from a unified standpoint. The theoretical foundations of contemporary theories are unveiled as a consequence of simple challenges. Additionally, this book makes an effort to present the contents as simply as possible. It is primarily intended for novice mathematicians who have tried reading other works but have struggled to comprehend them due to complex reasoning"-- _cProvided by publisher.
588			_aDescription based on print version record and CIP data provided by publisher; resource not viewed.
505	0		_aChapter 1 Divisibility -- 1.1. Preliminaries -- 1.2. Division Algorithm -- .1.3. GCD, LCM and Euclidean -- 1.4. The Fundamental Theorem of Arithmetic -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 2Classical Functions of NumberTheory -- 2.1. Arithmetic Functions -- 2.2. Some Classical Arithmetic Functions -- 2.2.1. The Mobius Function -- 2.2.2. The Euler Totient Function
505	8		_a2.2.3. The Sum and Number of Divisors -- 2.3. Greatest Integer Function -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 3Theory of Congruences -- chapter.3.1. Basic Properties of -- 3.2. Divisibility Tests -- 3.3. Theory of Residues -- 3.4. Linear Congruences -- 3.5. Congruences of Higher Degree -- 3.6. Fermat- Little Theorem and its Applications -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 4Primitive Roots and Indices -- 4.1. Order of an Integer -- 4.2. Primitive Roots
505	8		_a4.3. Primitive Root Theorem -- 4.4. Theory of Indices -- Practical Challenges -- Answers to Practical Challenges -- Challenges From CSIR- NET -- Chapter 5Quadratic Reciprocity -- 5.1. Quadratic Residues and Non Residues -- 5.2. Legendre Symbol and Its Properties -- 5.3. Jacobi Symbol and Its Properties -- 5.4. Quadratic Reciprocity Law -- Practical Challenges -- Answers to Practical Challenges -- Chapter 6Special Numbers -- 6.1. Perfect Numbers -- 6.2. Mersenne Numbers -- 6.3. Amicable Numbers -- 6.4. Fermat Numbers -- 6.5. Pell Numbers -- Practical Challenges -- Chapter 7Waring's Problem
505	8		_a7.1. Sum of Two Squares -- 7.2. Difference of Two Squares -- 7.3. Sum of Three Squares -- 7.4. Sum of Four Squares -- 7.5. Waring's Problem.
590			_aWorldCat record variable field(s) change: 050, 082
650		0	_aNumber theory. _924444
700	1		_aSomanath, Manju, _eauthor. _924445
776	0	8	_iPrint version: _aKannan, J. _tFundamental perceptions in contemporary number theory _d[New York] : [Nova Science Publishers], [2023] _z9798886977943 _w(DLC) 2023019291
830		0	_aComputational mathematics and analysis series. _924446
856	4	0	_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3619761
938			_aEBSCOhost _bEBSC _n3619761
938			_aYBP Library Services _bYANK _n20211846
938			_aProQuest Ebook Central _bEBLB _nEBL30552217
994			_a92 _bN$T
999			_c8962 _d8962