Enlightening Eclectic Excursion Into Combinatorics
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Enlightening Eclectic Excursion into Combinatorics
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-04-15
Embark on an intellectual odyssey through the captivating realm of combinatorics with this comprehensive guide, meticulously crafted for students, researchers, and enthusiasts seeking a profound understanding of this multifaceted field. Delve into the core principles and unravel the intricate beauty of combinatorial structures, mastering the techniques that illuminate hidden patterns and solve complex real-world problems. Within these pages, you will embark on a journey through the fundamental concepts of combinatorics, deciphering the art of counting, exploring the intricacies of combinatorial structures, and unraveling the elegance of combinatorial optimization. Discover the power of permutations, combinations, and generating functions as you tackle a myriad of enumeration problems. Delve into the depths of graph theory, uncovering the hidden patterns within intricate networks and unlocking the secrets of connectivity. Unveil the elegance of Ramsey theory, where order emerges from chaos, and explore the captivating world of matroids, structures that embody independence and duality. Harness the power of polyhedra and combinatorial optimization to solve complex real-world problems, and venture into the realm of graph coloring, where strategy and aesthetics intertwine. As you progress through this intellectual expedition, uncover the profound insights of combinatorial game theory, where chance and skill collide in a captivating dance of strategy and decision-making. Witness the interplay between theory and practice as you explore the diverse applications of combinatorics in fields ranging from computer science and engineering to economics and biology. Written with clarity and precision, this book is an invaluable resource for students seeking a comprehensive introduction to combinatorics, as well as researchers and enthusiasts eager to delve deeper into its captivating depths. With its engaging narrative and wealth of illuminating examples, this book promises an intellectual journey that will redefine your understanding of combinatorics and its profound impact on the world around us. If you like this book, write a review on google books!
Enlightening Symbols
Author: Joseph Mazur
language: en
Publisher: Princeton University Press
Release Date: 2014-03-23
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
From Lascaux to Brooklyn
Illustrating his ideas with examples of his own stunning graphic work, as well as an eclectic collection of masterpieces, Rand discusses such topics as: the relation between art and business: the presentation of design ideas and sketches to prospective clients: the debate over typographic style; and the aesthetics of combinatorial geometry as applied to the grid. His book will engage and enlighten anyone interested in the practice or theory of graphic design.