- Wiley discrete mathematics ensley epub pdf#
- Wiley discrete mathematics ensley epub manual#
- Wiley discrete mathematics ensley epub series#
- Wiley discrete mathematics ensley epub free#
Wiley discrete mathematics ensley epub series#
Обо всём этом и не только в книге The Probabilistic Method (Wiley-Interscience Series in Discrete Mathematics and Optimization) (Noga Alon, Joel H.1 Puzzles, Patterns, and Mathematical Language 1 1.1 First Examples 1 1.2 Number Puzzles and Sequences 9 1.3 Truth-tellers, Liars, and Propositional Logic 24 1.4 Predicates 40 1.5 Implications 53 1.6 Excursion Validity of Arguments 68 2 A Primer of Mathematical Writing 81 2.1 Mathematical Writing 82 2.2 Proofs about Numbers 98 2.3 Mathematical Induction 110 2.4 More about Induction 122 2.5 Contradiction and the Pigeonhole Principle 132 2.6 Excursion Representations of Numbers 150 2.7 Excursion Modular Arithmetic and Cryptography 166 3 Sets and Boolean Algebra 181 3.1 Set Definitions and Operations 181 3.2 More Operations on Sets 198 3.3 Proving Set Properties 210 3.4 Boolean Algebra 221 3.5 Excursion Logic Circuits 229 4 Functions and Relations 248 4.1 Definitions, Diagrams, and Inverses 249 4.2 The Composition Operation 268 4.3 Properties of Functions and Set Cardinality 283 4.4 Properties of Relations 301 4.5 Equivalence Relations 313 4.6 Numerical Functions in Discrete Math 324 4.7 Excursion Iterated Functions and Chaos 334 4.8 Excursion Growth of Functions 345 5 Combinatorics 368 5.1 Introduction 369 5.2 Basic Rules for Counting 386 5.3 Combinations and the Binomial Theorem 398 5.4 Binary Sequences 408 5.5 Recursive Counting 418 5.6 Excursion Solving Recurrence Relations 423 6 Probability 440 6.1 Introduction 440 6.2 Sum and Product Rules for Probability 448 6.3 Probability in Games of Chance 460 6.4 Expected Value in Games of Chance 466 6.5 Excursion Recursion Revisited 475 6.6 Excursion Matrices and Markov Chains 482 7 Graphs and Trees 505 7.1 Graph Theory 506 7.2 Proofs about Graphs and Trees 519 7.3 Isomorphism and Planarity 533 7.4 Connections to Matrices and Relations 546 7.5 Graphs in Puzzles and Games 567 7.6 Excursion Binary Trees 581 7. The book"s numerous exercises and examples also make it an excellent textbook for graduate-level courses in mathematics and computer science. The Third Edition also features: A new chapter on graph property testing, which is a current topic that incorporates combinatorial, probabilistic, and algorithmic techniques An elementary approach using probabilistic techniques to the powerful Szemeredi Regularity Lemma and its applications New sections devoted to percolation and liar games A new chapter that provides a modern treatment of the Erdos-Renyi phase transition in the Random Graph Process Written by two leading authorities in the field, The Probabilistic Method, Third Edition is an ideal reference for researchers in combinatorics and algorithm design who would like to better understand the use of probabilistic methods.
Wiley discrete mathematics ensley epub pdf#
: Willem Conradie, Valentin Goranko : Wiley : 2015 : PDF : 5.2 Mb. Sections labeled "The Probabilistic Lens" offer additional insights into the application of the probabilistic approach, and the appendix has been updated to include methodologies for finding lower bounds for Large Deviations. Logic and Discrete Mathematics: A Concise Introduction. Next, the authors examine where probabilistic techniques have been applied successfully, exploring such topics as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms.
Wiley discrete mathematics ensley epub manual#
Sanjay Baldania marked it as to-read May 16, A supplementary Student Solutions Manual contains more detailedsolutions to selected exercises in the text.
These books are made freely available by their respective authors and publishers. Discrete Mathematics, Student Solutions Manual by Ensley, Douglas E Crawley, J Winston To see what your friends thought of this book, please sign up.
Wiley discrete mathematics ensley epub free#
The book begins with a description of tools applied in probabilistic arguments, including basic techniques that use expectation and variance as well as the more recent applications of martingales and correlation inequalities. Discrete Mathematics books at E-Books Directory: files with free access on the Internet. Maintaining its clear writing style, illustrative examples, and practical exercises, this new edition emphasizes methodology, enabling readers to use probabilistic techniques for solving problems in such fields as theoretical computer science, mathematics, and statistical physics. This Third Edition of The Probabilistic Method reflects the most recent developments in the field while maintaining the standard of excellence that established this book as the leading reference on probabilistic methods in combinatorics.
0 kommentar(er)
