Larry J. Tate's Books

Invariant Theory of Finite Groups

By: Mara D. Neusel,Larry Smith

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Invariant Theory of Finite Groups

By: Mara D. Neusel,Larry Smith

The questions that have been at the center of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from these themes in the algebraic, homological, and combinatorial context. In further chapters, the authors pick one or the other of these questions as a departure point and present the known answers, open problems, and methods and tools needed to obtain these answers. Chapter 2 deals with algebraic finiteness. Chapter 3 deals with combinatorial finiteness. Chapter 4 presents Noetherian finiteness. Chapter 5 addresses homological finiteness. Chapter 6 presents special classes of invariants, which deal with modular invariant theory and its particular problems and features. Chapter 7 collects results for special classes of invariants and coinvariants such as (pseudo) reflection groups and representations of low degree. If the ground field is finite, additional problems appear and are compensated for in part by the emergence of new tools. One of these is the Steenrod algebra, which the authors introduce in Chapter 8 to solve the inverse invariant theory problem, around which the authors have organized the last three chapters. The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background. There is an extensive reference list to provide the reader with orientation to the vast literature.

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Page Count

384

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849816

ISBN 13

9780821849811

Polynomial Invariants of Finite Groups

By: Larry Smith

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Polynomial Invariants of Finite Groups

By: Larry Smith

Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative Invariants - Finite Generation of Invariants - Constructio

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Page Count

382

Publisher

CRC Press

Published Date

ISBN 10

1439864470

ISBN 13

9781439864470

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

By: Kathrin Bringmann,Amanda Folsom,Ken Ono,Larry Rolen

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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

By: Kathrin Bringmann,Amanda Folsom,Ken Ono,Larry Rolen

Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.

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Page Count

409

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470419440

ISBN 13

9781470419448

Circa 1903

North Carolina's Outer Banks at the Dawn of Flight

By: Larry E. Tise

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Circa 1903

North Carolina's Outer Banks at the Dawn of Flight

By: Larry E. Tise

Standing along the coast of today's Outer Banks, it can be hard to envision the barrier island world at Kitty Hawk as it appeared to Wilbur and Orville Wright when they first arrived in 1900 to begin their famous experiments leading to the world's first powered flight three years later. Around 1903, the islands and inland seas of North Carolina's coast were distinctive maritime realms--seemingly at the ends of the earth. But as the Wrights soon recognized, the region was far more developed than they expected. This rich photographic history illuminates this forgotten barrier island world as it existed when the Wright brothers arrived. Larry E. Tise shows that while the banks seemed remote, its maritime communities huddled near lighthouses and lifesaving stations and busy fisheries were linked to the mainland and offered precisely the resources needed by the Wrights as they invented flight. Tise presents dozens of newly discovered images never before published and others rarely seen or understood. His book offers fresh light on the life, culture, and environment of the Carolina coast at the opening of the twentieth century, an era marked by transportation revolutions and naked racial divisions. Tise subtly shows how unexplored photographs reveal these dramatic changes and in the process transforms how we've thought of the Outer Banks for more than a century.

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Page Count

241

Publisher

UNC Press Books

Published Date

ISBN 10

1469651157

ISBN 13

9781469651156

Educational Research

Quantitative, Qualitative, and Mixed Approaches

By: R. Burke Johnson,Larry B. Christensen

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Educational Research

Quantitative, Qualitative, and Mixed Approaches

By: R. Burke Johnson,Larry B. Christensen

Educational Research: Quantitative, Qualitative, and Mixed Approaches offers an accessible introduction to research methods. Providing an in-depth understanding of research methodologies in education, this book illustrates how to read and critically evaluate published research, how to write a proposal, construct research tools, and conduct empirical research using qualitative, quantitative, and mixed methods research approaches.

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Page Count

738

Publisher

SAGE Publications

Published Date

ISBN 10

1071869930

ISBN 13

9781071869932

The Student Motivation Handbook

50 Ways to Boost an Intrinsic Desire to Learn

By: Larry Ferlazzo

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The Student Motivation Handbook

50 Ways to Boost an Intrinsic Desire to Learn

By: Larry Ferlazzo

Even with the highest-quality content, students who don’t have an intrinsic motivation to learn may never perform to their full potential. So how can we create the classroom conditions where that motivation can flourish? Renowned educator Larry Ferlazzo has the answers in this comprehensive new resource. Designed as a practical handbook you can easily refer to again and again for ideas, the book offers 50 teaching practices divided into four main sections: autonomy, competency, relatedness, and relevance. Throughout, there are tip boxes with links to resources for additional support, as well as lists of questions you can ask yourself to ensure you’re implementing the strategies in a culturally responsive way. With this book as your compass, you’ll be able to create the conditions for students to find their inner motivation, be their true selves, and thrive in school and beyond.

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Page Count

121

Publisher

Taylor & Francis

Published Date

ISBN 10

1351804804

ISBN 13

9781351804806

Book's by Larry J. Tate

Invariant Theory of Finite Groups

Invariant Theory of Finite Groups

Polynomial Invariants of Finite Groups

Polynomial Invariants of Finite Groups

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Circa 1903

Circa 1903

Educational Research

Educational Research

The Student Motivation Handbook

The Student Motivation Handbook

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