h Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies. Here in this highly useful reference is the finest overview of finite and discrete math currently available, with hundreds of finite and discrete math problems that cover everything from graph theory and statistics to probability and Boolean algebra. Each problem is clearly solved with step-by-step detailed solutions. DETAILS- The PROBLEM SOLVERS are unique – the ultimate in study guides. – They are ideal for helping students cope with the toughest subjects. – They greatly simplify study and learning tasks. – They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding. – They cover material ranging from the elementary to the advanced in each subject. – They work exceptionally well with any text in its field. – PROBLEM SOLVERS are available in 41 subjects. – Each PROBLEM SOLVER is prepared by supremely knowledgeable experts. – Most are over 1000 pages. – PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent indexhelps to locate specific problems rapidly. TABLE OF CONTENTSIntroductionChapter 1: LogicStatements, Negations, Conjunctions, and DisjunctionsTruth Table and Proposition CalculusConditional and Biconditional StatementsMathematical InductionChapter 2: Set TheorySets and SubsetsSet OperationsVenn DiagramCartesian ProductApplicationsChapter 3: RelationsRelations and GraphsInverse Relations and Composition of RelationsProperties of RelationsEquivalence RelationsChapter 4: FunctionsFunctions and GraphsSurjective, Injective, and Bijective FunctionsChapter 5: Vectors and MatricesVectorsMatrix ArithmeticThe Inverse and Rank of a MatrixDeterminantsMatrices and Systems of Equations, Cramer’s RuleSpecial Kinds of MatricesChapter 6: Graph TheoryGraphs and Directed GraphsMatrices and GraphsIsomorphic and Homeomorphic GraphsPlanar Graphs and ColorationsTreesShortest Path(s)Maximum FlowChapter 7: Counting and Binomial TheoremFactorial NotationCounting PrinciplesPermutationsCombinationsThe Binomial TheoremChapter 8: ProbabilityProbabilityConditional Probability and Bayes’ TheoremChapter 9: StatisticsD