A tremendous resource for toy collectors and dealers, this new book compiles the catalogs of the Hubley Manufacturing Company from 1946 to 1965. Each page is reproduced in full color, making it an invaluable reference for identifying and dating Hubley toys. Hubley was incorporated in 1894 in Lancaster, Pennsylvania, and produced wonderful toys throughout its history. The catalogs in this book represent the production from 1946 to 1965, when the company was purchased by Gabriel Industries. Over 450 color images document each page and every toy Hubley produce in this period. A value guide is also included with current market values. This book is a perfect accompaniment to the author's previous book, Hubley Toys.

Promotional cars and trucks are miniature vehicles used by car and truck dealerships and manufacturers to promote the sale of their vehicles. Each example was produced for one year, then discontinued when the new models came out. For this reason, and their appeal to the car lover in general, promotionals have a popularity enjoyed by comparatively few collectibles. This new book presents a complete list of promotional cars and trucks, including manufacturer and current value, in a model-by-model chart. The charts are heavily illustrated with over 500 beautiful color photos, showing the full range of vehicles available. This comprehensive book will appeal to promotional vehicle collectors, toy collectors, and automobile and truck buffs alike!

Discrete mathematics has been rising in prominence in the past fifty years, both as a tool with practical applications and as a source of new and interesting mathematics. The topics in discrete mathematics have become so well developed that it is easy to forget that common threads connect the different areas, and it is through discovering and using these connections that progress is often made. For over fifty years, Ron Graham has been able to illuminate some of these connections and has helped to bring the field of discrete mathematics to where it is today. To celebrate his contribution, this volume brings together many of the best researchers working in discrete mathematics, including Fan Chung, Erik D. Demaine, Persi Diaconis, Peter Frankl, Alfred W. Hales, Jeffrey C. Lagarias, Allen Knutson, Janos Pach, Carl Pomerance, N. J. A. Sloane, and of course, Ron Graham himself.

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdos complement this striking collection. A unique contribution is the bibliography on Erdos' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdos' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdos with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdos' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdos complement this striking collection. A unique contribution is the bibliography on Erdos' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdos' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdos, and an updated list of publications. The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdos by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdos' favorite geometry problems.

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdos complement this striking collection. A unique contribution is the bibliography on Erdos' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdos' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdos, and an updated list of publications. The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdos by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdos' favorite geometry problems.

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdos complement this striking collection. A unique contribution is the bibliography on Erdos' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdos' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdos with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdos' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.

Discrete mathematics has been rising in prominence in the past fifty years, both as a tool with practical applications and as a source of new and interesting mathematics. The topics in discrete mathematics have become so well developed that it is easy to forget that common threads connect the different areas, and it is through discovering and using these connections that progress is often made. For over fifty years, Ron Graham has been able to illuminate some of these connections and has helped to bring the field of discrete mathematics to where it is today. To celebrate his contribution, this volume brings together many of the best researchers working in discrete mathematics, including Fan Chung, Erik D. Demaine, Persi Diaconis, Peter Frankl, Alfred W. Hales, Jeffrey C. Lagarias, Allen Knutson, Janos Pach, Carl Pomerance, N. J. A. Sloane, and of course, Ron Graham himself.

Pro Football and the Proliferation of Protest: Anthem Kneeling and Standing in a Divided America examines the take-a-knee NFL protests, a trend that has led to deep political divisiveness in America. The author explores this phenomenon by incorporating analysis of media coverage, impact on attitudes and behaviors, and racial, religious, gendered, and political perspectives. The analysis allows readers to recognize both positive and negative prejudice and to proscribe possible solutions for political divisiveness. Protesting, anthems, ceremonies, and media coverage all demonstrate that this issue is a communication issue. This book examines the voices on both sides of the kneeling controversy in order to uncover the points at which one side is communicating and the other side refuses to listen. The studies in this volume look at the protest through four lenses: historically, through media coverage , through impact on public behaviors and attitudes, and from racial, religious, gendered, and political identification perspectives. The contributors worked in conjunction with one another, incorporating different viewpoints into each chapter as they were completed. All studies were conducted under the guidance of the book’s editor to separate the work effectively and to end in a set of voices that complement each other and allow for overall conclusions and recommendations. This book is useful for a wide range of scholars including race, religion, political studies, gender studies, and communication studies.

Pro Football and the Proliferation of Protest: Anthem Kneeling and Standing in a Divided America examines the take-a-knee NFL protests, a trend that has led to deep political divisiveness in America. The author explores this phenomenon by incorporating analysis of media coverage, impact on attitudes and behaviors, and racial, religious, gendered, and political perspectives. The analysis allows readers to recognize both positive and negative prejudice and to proscribe possible solutions for political divisiveness. Protesting, anthems, ceremonies, and media coverage all demonstrate that this issue is a communication issue. This book examines the voices on both sides of the kneeling controversy in order to uncover the points at which one side is communicating and the other side refuses to listen. The studies in this volume look at the protest through four lenses: historically, through media coverage , through impact on public behaviors and attitudes, and from racial, religious, gendered, and political identification perspectives. The contributors worked in conjunction with one another, incorporating different viewpoints into each chapter as they were completed. All studies were conducted under the guidance of the book's editor to separate the work effectively and to end in a set of voices that complement each other and allow for overall conclusions and recommendations. This book is useful for a wide range of scholars including race, religion, political studies, gender studies, and communication studies.

In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colorings of the integers by finitely many colors must have long monochromatic arithmetic progressions (van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book explores many of the basic results and variations of this theory. Since the first edition of this book there have been many advances in this field. In the second edition the authors update the exposition to reflect the current state of the art. They also include many pointers to modern results.