000			02161nam a2200289Ia 4500
003			OSt
005			20240131194417.0
008			230817s9999 xx 000 0 und d
020			_a9781498722926
040			_cIISER BPR
082			_a510 _bLIEB _223rd
100			_aLiebeck, Martin
245		2	_aConcise introduction to pure mathematics
250			_a4th ed.
260			_bBoca Raton: _aCRC Press, _cc2016.
300			_axv, 301p. : _bill. ; _c22cm
520			_aAccessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.
650			_aMathematics
650			_aAbstract Algebra
650			_aAnalysis
650			_aDiscrete Mathematics
650			_aNumber theory
942			_cBK _2ddc
942			_2ddc _cBK
947			_a4877.679475
948			_a22
999			_c3024 _d3024