Looking for a Challenge 2nd Edition by Krzysztof Diks ISBN 8301199474 9788301199470
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ISBN 10: 8301199474
ISBN 13: 9788301199470
Author: Krzysztof Diks
Looking for a Challenge by Krzysztof Diks, now in its 2nd Edition, takes readers on an intellectual journey through some of the most intriguing and challenging problems in mathematics, logic, and problem-solving. Designed for anyone with a passion for puzzles, challenges, and the beauty of mathematical thought, this book offers both novice and experienced problem solvers an opportunity to engage deeply with a variety of stimulating problems across multiple fields.
The book is a perfect resource for those interested in improving their problem-solving skills, whether for academic purposes, professional development, or simply as a way to stretch their mental capacities. Diks, a seasoned mathematician, draws upon his extensive knowledge and experience to provide puzzles and challenges that not only enhance logical thinking but also offer insights into the underlying principles of mathematics.
Looking for a Challenge 2nd Table of contents:
Chapter 1: Logic and Reasoning
- 1.1 Logical Puzzles: The Basics
- 1.2 Truth Tables and Logical Equivalence
- 1.3 Syllogisms and Deductive Reasoning
- 1.4 Paradoxes and Contradictions
- 1.5 Logical Games and Strategies
- 1.6 Solutions and Explanations
Chapter 2: Combinatorics and Counting
- 2.1 The Principle of Counting
- 2.2 Permutations and Combinations
- 2.3 Pigeonhole Principle
- 2.4 Inclusion-Exclusion Principle
- 2.5 Counting on Graphs and Networks
- 2.6 Solutions and Explanations
Chapter 3: Geometry and Visualization
- 3.1 Geometrical Shapes and Properties
- 3.2 Spatial Reasoning and 3D Visualization
- 3.3 Area, Volume, and Perimeter Puzzles
- 3.4 Symmetry and Geometrical Transformations
- 3.5 Geometrical Constructions and Proofs
- 3.6 Solutions and Explanations
Chapter 4: Number Theory and Divisibility
- 4.1 Prime Numbers and Factorization
- 4.2 Divisibility Rules and Techniques
- 4.3 Diophantine Equations
- 4.4 Modular Arithmetic and Congruences
- 4.5 Perfect Numbers, Fibonacci Sequences, and More
- 4.6 Solutions and Explanations
Chapter 5: Probability and Statistics
- 5.1 Basic Probability Theory
- 5.2 Conditional Probability and Bayes’ Theorem
- 5.3 Expectation and Variance
- 5.4 Random Variables and Distributions
- 5.5 Statistical Puzzles and Applications
- 5.6 Solutions and Explanations
Chapter 6: Algebra and Functions
- 6.1 Basic Algebraic Operations
- 6.2 Polynomials and Factoring
- 6.3 Linear and Quadratic Equations
- 6.4 Functions, Graphs, and Transformations
- 6.5 Systems of Equations and Inequalities
- 6.6 Solutions and Explanations
Chapter 7: Advanced Topics in Mathematics
- 7.1 Graph Theory and Networks
- 7.2 Advanced Combinatorics
- 7.3 Topology and Infinity
- 7.4 Group Theory and Symmetry
- 7.5 Chaos Theory and Fractals
- 7.6 Solutions and Explanations
Chapter 8: Math in Real Life
- 8.1 Puzzles in Daily Life
- 8.2 Mathematics in Nature and Art
- 8.3 Mathematical Models of Real-World Phenomena
- 8.4 Mathematics in Technology and Engineering
- 8.5 Solutions and Explanations
Chapter 9: Fun with Numbers and Patterns
- 9.1 Magic Squares and Number Patterns
- 9.2 Sequences and Series
- 9.3 Fibonacci Numbers and Golden Ratio
- 9.4 Number Theory in Recreational Math
- 9.5 Solutions and Explanations
Chapter 10: Puzzles for Competition and Brain Teasers
- 10.1 Math Olympiad Style Problems
- 10.2 Puzzle Challenges for Experts
- 10.3 Brain Teasers for Logical Minds
- 10.4 Strategy and Game Theory Puzzles
- 10.5 Solutions and Explanations
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