000 01756nam a22002777a 4500
005 20250804115843.0
008 230904b |||||||| |||| 00| 0 eng d
020 _a9780989472128
028 _a: Raghav Books Pvt. Ltd.
_b: A-184, A, Nand Gram, Ghaziabad, UP.
_c: 3973
_d: 26/08/2023
028 _aDonated by Prof. Sanjeev Agrawal
082 _a511.3 HAM
100 _a Hammack, Richard H.
245 _aBook of proof.
_c/ Richard H Hammack.
250 _a:3rd ed.
260 _a, Richmond, Virginia
_b: Richard Hammack
_c, 2018.
300 _a x, 303 pages
_b: illustrations
_c ; 26 cm.
365 _b2112
505 _aSets Logic Counting Direct proof Contrapostivie proof Proof by contradiction Proving non-conditional statements Proofs involving sets Disproof Mathematical induction Relations Functions Cardinality of sets Conclusion Solutions
520 _a"This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality."
650 _aTopology
650 _aAbstract algebra
650 _aProof by contradiction
650 _aMathematical induction
700 _aRichard H. Hammack.
942 _cBOOK
999 _c60790
_d60790