Aaron Robertson – författare
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One of The New York Times''s 100 Notable Books of 2024One of the Washington Post''s 50 Best Nonfiction Books of 2024A Finalist for the Los Angeles Times Book Prize for HistoryA New York Public Library Top Ten Book of 2024 | A Boston Globe Best Book of 2024A New Republic Best Book of the Fall | A Time Must-Read Book of the YearA 2025 Michigan Notable Book | A Booklist Best History Book of 2025Named a Best Book of the Year by The New Yorker | Literary Hub | Essence | Elle | Chicago Public Library"[An] extraordinary new work of history and memoir . . . Unforgettable." —Gabriel Bump, The Washington PostA lyrical meditation on how Black Americans have envisioned utopia—and sought to transform their lives.How do the disillusioned, the forgotten, and the persecuted not merely hold on to life but expand its possibilities and preserve its beauty? What, in other words, does utopia look like in black?These questions animate Aaron Robertson’s exploration of Black Americans'' efforts to remake the conditions of their lives. Writing in the tradition of Saidiya Hartman and Ta-Nehisi Coates, Robertson makes his way from his ancestral hometown of Promise Land, Tennessee, to Detroit—the city where he was born, and where one of the country’s most remarkable Black utopian experiments got its start. Founded by the brilliant preacher Albert Cleage Jr., the Shrine of the Black Madonna combined Afrocentric Christian practice with radical social projects to transform the self-conception of its members. Central to this endeavor was the Shrine’s chancel mural of a Black Virgin and child, the icon of a nationwide liberation movement that would come to be known as Black Christian Nationalism. The Shrine’s members opened bookstores and co-ops, created a self-defense force, and raised their children communally, eventually working to establish the country’s largest Black-owned farm, where attempts to create an earthly paradise for Black people continues today. Alongside the Shrine’s story, Robertson reflects on a diverse array of Black utopian visions, from the Reconstruction era through the countercultural fervor of the 1960s and 1970s and into the present day. By doing so, Robertson showcases the enduring quest of collectives and individuals for a world beyond the constraints of systemic racism. The Black Utopians offers a nuanced portrait of the struggle for spaces—both ideological and physical—where Black dignity, protection, and nourishment are paramount. This book is the story of a movement and of a world still in the making—one that points the way toward radical alternatives for the future.
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Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before.
The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises.
This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them.
Additionally, the book offers:
A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers.A chapter on the probabilistic method since it is quite central to Ramsey-type numbers.
A unique chapter presenting some applications of Ramsey theory.
Exercises in every chapter
The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed.
TABLE OF CONENTS
Preface
List of Figures
List of Tables
Symbols
1. Introduction
2. Integer Ramsey Theory
3. Graph Ramsey Theory
4. Euclidean Ramsey Theory
5. Other Approaches to Ramsey Theory
6. The Probabilistic Method
7. Applications
Bibliography
Index
Biography
Aaron Robertson received his Ph.D. in mathematics from Temple University under the guidance of his advisor Doron Zeilberger. Upon finishing his Ph.D. he started at Colgate University in upstate New York where he is currently Professor of Mathematics. He also serves as Associate Managing editor of the journal Integers. After a brief detour into the world of permutation patterns, he has focused most of his research on Ramsey theory.
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Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before.
The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises.
This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them.
Additionally, the book offers:
A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers.A chapter on the probabilistic method since it is quite central to Ramsey-type numbers.
A unique chapter presenting some applications of Ramsey theory.
Exercises in every chapter
The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed.
TABLE OF CONENTS
Preface
List of Figures
List of Tables
Symbols
1. Introduction
2. Integer Ramsey Theory
3. Graph Ramsey Theory
4. Euclidean Ramsey Theory
5. Other Approaches to Ramsey Theory
6. The Probabilistic Method
7. Applications
Bibliography
Index
Biography
Aaron Robertson received his Ph.D. in mathematics from Temple University under the guidance of his advisor Doron Zeilberger. Upon finishing his Ph.D. he started at Colgate University in upstate New York where he is currently Professor of Mathematics. He also serves as Associate Managing editor of the journal Integers. After a brief detour into the world of permutation patterns, he has focused most of his research on Ramsey theory.
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This volume contains selected refereed papers based on lectures presented at the ‘Integers Conference 2007’, an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007.
The proceedings include contributions from many distinguished speakers, including George Andrews, Neil Hindman, Florian Luca, Carl Pomerance, Ken Ono and Igor E. Shparlinski. Among the topics considered in these papers are additive number theory, multiplicative number theory, sequences, elementary number theory, theory of partitions, and Ramsey theory.
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This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks.
This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.
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Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community.
This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.
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Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community.
This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.
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Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians.
This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.
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Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians.
This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.
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This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference. They represent a variety of active areas of research in combinatorial number theory, including additive number theory, multiplicative number theory, elementary number theory, the theory of partitions, Ramsey theory, sequences, algebraic combinatorics, enumerative combinatorics, and Diophantine equations.
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This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference. They represent a variety of active areas of research in combinatorial number theory, including additive number theory, multiplicative number theory, elementary number theory, the theory of partitions, Ramsey theory, sequences, algebraic combinatorics, enumerative combinatorics, and Diophantine equations.
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