Enlightening Eclectic Excursion Into Combinatorics
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Enlightening Eclectic Excursion Into Combinatorics
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-15
Enlightening Eclectic Excursion Into Combinatorics written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-15 with Mathematics categories.
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
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Author : Joseph Mazur
language : en
Publisher: Princeton University Press
Release Date : 2014-03-23
Enlightening Symbols written by Joseph Mazur and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-23 with Mathematics categories.
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.
Genius At Play
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Author : Siobhan Roberts
language : en
Publisher: Princeton University Press
Release Date : 2024-10-29
Genius At Play written by Siobhan Roberts and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-29 with Biography & Autobiography categories.
A multifaceted biography of a brilliant mathematician and iconoclast A mathematician unlike any other, John Horton Conway (1937–2020) possessed a rock star’s charisma, a polymath’s promiscuous curiosity, and a sly sense of humor. Conway found fame as a barefoot professor at Cambridge, where he discovered the Conway groups in mathematical symmetry and the aptly named surreal numbers. He also invented the cult classic Game of Life, a cellular automaton that demonstrates how simplicity generates complexity—and provides an analogy for mathematics and the entire universe. Moving to Princeton in 1987, Conway used ropes, dice, pennies, coat hangers, and the occasional Slinky to illustrate his winning imagination and share his nerdish delights. Genius at Play tells the story of this ambassador-at-large for the beauties and joys of mathematics, lays bare Conway’s personal and professional idiosyncrasies, and offers an intimate look into the mind of one of the twentieth century’s most endearing and original intellectuals.
From Lascaux To Brooklyn
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Author : Paul Rand
language : en
Publisher: Yale University Press
Release Date : 2017-11-03
From Lascaux To Brooklyn written by Paul Rand and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-03 with Design categories.
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.
Didactics Of Mathematics As A Scientific Discipline
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Author : Rolf Biehler
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-11-30
Didactics Of Mathematics As A Scientific Discipline written by Rolf Biehler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-30 with Education categories.
Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.
The Geometry Of Random Fields
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Author : Robert J. Adler
language : en
Publisher: SIAM
Release Date : 2010-01-28
The Geometry Of Random Fields written by Robert J. Adler and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-28 with Mathematics categories.
An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.
Pioneering Women In American Mathematics
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Author : Judy Green
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Pioneering Women In American Mathematics written by Judy Green and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Biography & Autobiography categories.
"This book is the result of a study in which the authors identified all of the American women who earned PhD's in mathematics before 1940, and collected extensive biographical and bibliographical information about each of them. By reconstructing as complete a picture as possible of this group of women, Green and LaDuke reveal insights into the larger scientific and cultural communities in which they lived and worked." "The book contains an extended introductory essay, as well as biographical entries for each of the 228 women in the study. The authors examine family backgrounds, education, careers, and other professional activities. They show that there were many more women earning PhD's in mathematics before 1940 than is commonly thought." "The material will be of interest to researchers, teachers, and students in mathematics, history of mathematics, history of science, women's studies, and sociology."--BOOK JACKET.
Pr Cis Of The Lectures On Architecture
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Author : Jean-Nicolas-Louis Durand
language : en
Publisher: Getty Publications
Release Date : 2000-01-01
Pr Cis Of The Lectures On Architecture written by Jean-Nicolas-Louis Durand and has been published by Getty Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Architecture categories.
Jean-Nicolas-Louis Durand (1760–1834) regarded the Précis of the Lectures on Architecture (1802–5) and its companion volume, the Graphic Portion (1821), as both a basic course for future civil engineers and a treatise. Focusing the practice of architecture on utilitarian and economic values, he assailed the rationale behind classical architectural training: beauty, proportionality, and symbolism. His formal systematization of plans, elevations, and sections transformed architectural design into a selective modular typology in which symmetry and simple geometrical forms prevailed. His emphasis on pragmatic values, to the exclusion of metaphysical concerns, represented architecture as a closed system that subjected its own formal language to logical processes. Now published in English for the first time, the Précis and the Graphic Portion are classics of architectural education.
Designing Memory
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Author : Sabina Tanović
language : en
Publisher: Cambridge University Press
Release Date : 2019-11-28
Designing Memory written by Sabina Tanović and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-28 with Architecture categories.
This innovative study of memorial architecture investigates how design can translate memories of human loss into tangible structures, creating spaces for remembering. Using approaches from history, psychology, anthropology and sociology, Sabina Tanović explores purposes behind creating contemporary memorials in a given location, their translation into architectural concepts, their materialisation in the face of social and political challenges, and their influence on the transmission of memory. Covering the period from the First World War to the present, she looks at memorials such as the Holocaust museums in Mechelen and Drancy, as well as memorials for the victims of terrorist attacks, to unravel the private and public role of memorial architecture and the possibilities of architecture as a form of agency in remembering and dealing with a difficult past. The result is a distinctive contribution to the literature on history and memory, and on architecture as a link to the past.
Analytic Combinatorics In Several Variables
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Author : Robin Pemantle
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-31
Analytic Combinatorics In Several Variables written by Robin Pemantle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Mathematics categories.
Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.