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020 _a9781498722926 (pbk.)
_c£ 46.99
040 _bENG
_cIISER-BPR
041 _aENG
082 _a510
_bLIE
_223rd
100 _aLiebeck, Martin
_9566
222 _aMathematics
245 2 _aA concise introduction to pure mathematics
250 _a4th ed.
260 _bBoca Raton:
_aCRC Press,
_cc2016.
300 _axv, 301p. :
_bill. ;
_c22cm
504 _aIncludes index of symbol and subject index.
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
_9567
650 _aPure mathematics
_9570
942 _cBK
_2ddc
_02
942 _2ddc
_cBK
947 _a4877.679475
948 _a22
999 _c3024
_d3024