Tropical Connections

Tropical Connections

Author: William L. Kruczynski

Publisher:

Published: 2012

Total Pages: 473

ISBN-13: 9780982230534

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Book Synopsis Tropical Connections by : William L. Kruczynski

Download or read book Tropical Connections written by William L. Kruczynski and published by . This book was released on 2012 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Introduction to Tropical Geometry

Introduction to Tropical Geometry

Author: Diane Maclagan

Publisher: American Mathematical Society

Published: 2021-12-13

Total Pages: 363

ISBN-13: 1470468565

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Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts. Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics. This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature. This wonderful book will appeal to students and researchers of all stripes: it begins at an undergraduate level and ends with deep connections to toric varieties, compactifications, and degenerations. In between, the authors provide the first complete proofs in book form of many fundamental results in the subject. The pages are sprinkled with illuminating examples, applications, and exercises, and the writing is lucid and meticulous throughout. It is that rare kind of book which will be used equally as an introductory text by students and as a reference for experts. —Matt Baker, Georgia Institute of Technology Tropical geometry is an exciting new field, which requires tools from various parts of mathematics and has connections with many areas. A short definition is given by Maclagan and Sturmfels: “Tropical geometry is a marriage between algebraic and polyhedral geometry”. This wonderful book is a pleasant and rewarding journey through different landscapes, inviting the readers from a day at a beach to the hills of modern algebraic geometry. The authors present building blocks, examples and exercises as well as recent results in tropical geometry, with ingredients from algebra, combinatorics, symbolic computation, polyhedral geometry and algebraic geometry. The volume will appeal both to beginning graduate students willing to enter the field and to researchers, including experts. —Alicia Dickenstein, University of Buenos Aires, Argentina


Book Synopsis Introduction to Tropical Geometry by : Diane Maclagan

Download or read book Introduction to Tropical Geometry written by Diane Maclagan and published by American Mathematical Society. This book was released on 2021-12-13 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts. Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics. This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature. This wonderful book will appeal to students and researchers of all stripes: it begins at an undergraduate level and ends with deep connections to toric varieties, compactifications, and degenerations. In between, the authors provide the first complete proofs in book form of many fundamental results in the subject. The pages are sprinkled with illuminating examples, applications, and exercises, and the writing is lucid and meticulous throughout. It is that rare kind of book which will be used equally as an introductory text by students and as a reference for experts. —Matt Baker, Georgia Institute of Technology Tropical geometry is an exciting new field, which requires tools from various parts of mathematics and has connections with many areas. A short definition is given by Maclagan and Sturmfels: “Tropical geometry is a marriage between algebraic and polyhedral geometry”. This wonderful book is a pleasant and rewarding journey through different landscapes, inviting the readers from a day at a beach to the hills of modern algebraic geometry. The authors present building blocks, examples and exercises as well as recent results in tropical geometry, with ingredients from algebra, combinatorics, symbolic computation, polyhedral geometry and algebraic geometry. The volume will appeal both to beginning graduate students willing to enter the field and to researchers, including experts. —Alicia Dickenstein, University of Buenos Aires, Argentina


American Tropics

American Tropics

Author: Megan Raby

Publisher: UNC Press Books

Published: 2017-10-03

Total Pages: 337

ISBN-13: 1469635615

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Biodiversity has been a key concept in international conservation since the 1980s, yet historians have paid little attention to its origins. Uncovering its roots in tropical fieldwork and the southward expansion of U.S. empire at the turn of the twentieth century, Megan Raby details how ecologists took advantage of growing U.S. landholdings in the circum-Caribbean by establishing permanent field stations for long-term, basic tropical research. From these outposts of U.S. science, a growing community of American "tropical biologists" developed both the key scientific concepts and the values embedded in the modern discourse of biodiversity. Considering U.S. biological fieldwork from the era of the Spanish-American War through the anticolonial movements of the 1960s and 1970s, this study combines the history of science, environmental history, and the history of U.S.–Caribbean and Latin American relations. In doing so, Raby sheds new light on the origins of contemporary scientific and environmentalist thought and brings to the forefront a surprisingly neglected history of twentieth-century U.S. science and empire.


Book Synopsis American Tropics by : Megan Raby

Download or read book American Tropics written by Megan Raby and published by UNC Press Books. This book was released on 2017-10-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biodiversity has been a key concept in international conservation since the 1980s, yet historians have paid little attention to its origins. Uncovering its roots in tropical fieldwork and the southward expansion of U.S. empire at the turn of the twentieth century, Megan Raby details how ecologists took advantage of growing U.S. landholdings in the circum-Caribbean by establishing permanent field stations for long-term, basic tropical research. From these outposts of U.S. science, a growing community of American "tropical biologists" developed both the key scientific concepts and the values embedded in the modern discourse of biodiversity. Considering U.S. biological fieldwork from the era of the Spanish-American War through the anticolonial movements of the 1960s and 1970s, this study combines the history of science, environmental history, and the history of U.S.–Caribbean and Latin American relations. In doing so, Raby sheds new light on the origins of contemporary scientific and environmentalist thought and brings to the forefront a surprisingly neglected history of twentieth-century U.S. science and empire.


The Overstory Book

The Overstory Book

Author: Craig R. Elevitch

Publisher: PAR

Published: 2004

Total Pages: 550

ISBN-13: 0970254431

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Whether in a small backyard or a larger farm or forest, trees are vital to the web of life. Protecting and planting trees can restore wildlife habitat, heal degraded land, conserve soil, protect watersheds, diversify farm or garden products, beautify landscapes, and enhance the economic and ecological viability of land use systems. Careful planning and sound information is needed to reach these goals. The Overstory Book distills essential information about working with trees into 134 short, easy-to-read, single-subject chapters. Each chapter shares key concepts and useful information, so readers can get back to planting and protecting more trees, gardens, and forests, more effectively. * Discover time-tested agricultural and conservation techniques from indigenous and traditional peoples * Work with beneficial microorganisms, from mycorrhizal fungi to nitrogen-fixing bacteria and more * Create abundance with fruit trees, timber trees, vine crops, vegetables, mushrooms, and more * Form alliances with animals, from wildlife, birds, and insects to integrated, free-range livestock * Design effective tree-based windbreaks, noise barriers, live fences, and erosion buffers * Understand how to grow or obtain the highest quality seeds, seedlings, and plant materials * Restore fertility, productivity, and biodiversity with trees * Work with multipurpose plants including trees, palms, bamboos, and more * Market products effectively to improve economic returns sustainably * Locate helpful internet sites, organizations, people, and publications * And much more!


Book Synopsis The Overstory Book by : Craig R. Elevitch

Download or read book The Overstory Book written by Craig R. Elevitch and published by PAR. This book was released on 2004 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whether in a small backyard or a larger farm or forest, trees are vital to the web of life. Protecting and planting trees can restore wildlife habitat, heal degraded land, conserve soil, protect watersheds, diversify farm or garden products, beautify landscapes, and enhance the economic and ecological viability of land use systems. Careful planning and sound information is needed to reach these goals. The Overstory Book distills essential information about working with trees into 134 short, easy-to-read, single-subject chapters. Each chapter shares key concepts and useful information, so readers can get back to planting and protecting more trees, gardens, and forests, more effectively. * Discover time-tested agricultural and conservation techniques from indigenous and traditional peoples * Work with beneficial microorganisms, from mycorrhizal fungi to nitrogen-fixing bacteria and more * Create abundance with fruit trees, timber trees, vine crops, vegetables, mushrooms, and more * Form alliances with animals, from wildlife, birds, and insects to integrated, free-range livestock * Design effective tree-based windbreaks, noise barriers, live fences, and erosion buffers * Understand how to grow or obtain the highest quality seeds, seedlings, and plant materials * Restore fertility, productivity, and biodiversity with trees * Work with multipurpose plants including trees, palms, bamboos, and more * Market products effectively to improve economic returns sustainably * Locate helpful internet sites, organizations, people, and publications * And much more!


Tropical Stream Ecology

Tropical Stream Ecology

Author: David Dudgeon

Publisher: Elsevier

Published: 2011-05-04

Total Pages: 370

ISBN-13: 9780080557175

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Tropical Stream Ecology describes the main features of tropical streams and their ecology. It covers the major physico-chemical features, important processes such as primary production and organic-matter transformation, as well as the main groups of consumers: invertebrates, fishes and other vertebrates. Information on concepts and paradigms developed in north-temperate latitudes and how they do not match the reality of ecosystems further south is expertly addressed. The pressing matter of conservation of tropical streams and their biodiversity is included in almost every chapter, with a final chapter providing a synthesis on conservation issues. For the first time, Tropical Stream Ecology places an important emphasis on viewing research carried out in contributions from international literature. First synthetic account of the ecology of all types of tropical streams Covers all of the major tropical regions Detailed consideration of possible fundamental differences between tropical and temperate stream ecosystems Threats faced by tropical stream ecosystems and possible conservation actions Descriptions and synstheses life-histories and breeding patterns of major aquatic consumers (fishes, invertebrates)


Book Synopsis Tropical Stream Ecology by : David Dudgeon

Download or read book Tropical Stream Ecology written by David Dudgeon and published by Elsevier. This book was released on 2011-05-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tropical Stream Ecology describes the main features of tropical streams and their ecology. It covers the major physico-chemical features, important processes such as primary production and organic-matter transformation, as well as the main groups of consumers: invertebrates, fishes and other vertebrates. Information on concepts and paradigms developed in north-temperate latitudes and how they do not match the reality of ecosystems further south is expertly addressed. The pressing matter of conservation of tropical streams and their biodiversity is included in almost every chapter, with a final chapter providing a synthesis on conservation issues. For the first time, Tropical Stream Ecology places an important emphasis on viewing research carried out in contributions from international literature. First synthetic account of the ecology of all types of tropical streams Covers all of the major tropical regions Detailed consideration of possible fundamental differences between tropical and temperate stream ecosystems Threats faced by tropical stream ecosystems and possible conservation actions Descriptions and synstheses life-histories and breeding patterns of major aquatic consumers (fishes, invertebrates)


Tropical Mycology

Tropical Mycology

Author: Roy Watling

Publisher: CABI

Published: 2002-02-27

Total Pages: 216

ISBN-13: 9780851997933

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Tropical mycology is attracting increasing interest, as the key role of fungi in tropical ecosystems and as pathogens becomes appreciated. This book is the first of two complementary volumes (Volume 2 covers Micromycetes) produced from papers given at the British Mycological Society's symposium held in Liverpool in April 2000. It describes the ecology, biology, economic dimensions and systematics of tropical Macromycetes. Written by leading experts in their field, the papers have been thoroughly edited and revised.


Book Synopsis Tropical Mycology by : Roy Watling

Download or read book Tropical Mycology written by Roy Watling and published by CABI. This book was released on 2002-02-27 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tropical mycology is attracting increasing interest, as the key role of fungi in tropical ecosystems and as pathogens becomes appreciated. This book is the first of two complementary volumes (Volume 2 covers Micromycetes) produced from papers given at the British Mycological Society's symposium held in Liverpool in April 2000. It describes the ecology, biology, economic dimensions and systematics of tropical Macromycetes. Written by leading experts in their field, the papers have been thoroughly edited and revised.


Origin of Tropical Diversity: From Clades to Communities

Origin of Tropical Diversity: From Clades to Communities

Author: James Edward Richardson

Publisher: Frontiers Media SA

Published: 2017-01-12

Total Pages: 284

ISBN-13: 2889450503

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In this volume we aimed to assess progress in determining the processes by which current patterns of tropical biodiversity were established and are maintained. Tropical regions are highly species-rich and we present studies that have improved our understanding of the generation of that diversity at local, regional and global scales. We demonstrate how diverse fields from molecular phylogenetics, phylogeography, palaeontology and palaeoecology continue to improve our understanding of the natural history of the tropics.


Book Synopsis Origin of Tropical Diversity: From Clades to Communities by : James Edward Richardson

Download or read book Origin of Tropical Diversity: From Clades to Communities written by James Edward Richardson and published by Frontiers Media SA. This book was released on 2017-01-12 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we aimed to assess progress in determining the processes by which current patterns of tropical biodiversity were established and are maintained. Tropical regions are highly species-rich and we present studies that have improved our understanding of the generation of that diversity at local, regional and global scales. We demonstrate how diverse fields from molecular phylogenetics, phylogeography, palaeontology and palaeoecology continue to improve our understanding of the natural history of the tropics.


Tropical Connections

Tropical Connections

Author: Susie Vereker

Publisher: Severn House

Published: 2010-03

Total Pages: 0

ISBN-13: 9781847511546

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Art historian Claire takes a job on an obscure tropical island, cataloguing Buddhist art, and finds her new exotic surroundings both fascinating and challenging. Then she becomes involved with the darker side of island life and, quite by accident, finds herself in terrible danger.


Book Synopsis Tropical Connections by : Susie Vereker

Download or read book Tropical Connections written by Susie Vereker and published by Severn House. This book was released on 2010-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Art historian Claire takes a job on an obscure tropical island, cataloguing Buddhist art, and finds her new exotic surroundings both fascinating and challenging. Then she becomes involved with the darker side of island life and, quite by accident, finds herself in terrible danger.


Networks in Climate

Networks in Climate

Author: Henk A. Dijkstra

Publisher: Cambridge University Press

Published: 2019-02-28

Total Pages: 285

ISBN-13: 110865777X

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Over the last two decades the complex network paradigm has proven to be a fruitful tool for the investigation of complex systems in many areas of science; for example, the Internet, neural networks and social networks. This book provides an overview of applications of network theory to climate variability, such as the El Niño/Southern Oscillation and the Indian Monsoon, presenting recent important results obtained with these techniques and showing their potential for further development and research. The book is aimed at researchers and graduate students in climate science. A basic background in physics and mathematics is required. Several of the methodologies presented here will also be valuable to a broader audience of those interested in network science, for example, from biomedicine, ecology and economics.


Book Synopsis Networks in Climate by : Henk A. Dijkstra

Download or read book Networks in Climate written by Henk A. Dijkstra and published by Cambridge University Press. This book was released on 2019-02-28 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last two decades the complex network paradigm has proven to be a fruitful tool for the investigation of complex systems in many areas of science; for example, the Internet, neural networks and social networks. This book provides an overview of applications of network theory to climate variability, such as the El Niño/Southern Oscillation and the Indian Monsoon, presenting recent important results obtained with these techniques and showing their potential for further development and research. The book is aimed at researchers and graduate students in climate science. A basic background in physics and mathematics is required. Several of the methodologies presented here will also be valuable to a broader audience of those interested in network science, for example, from biomedicine, ecology and economics.


Monthly Weather Review

Monthly Weather Review

Author:

Publisher:

Published: 1987

Total Pages: 1078

ISBN-13:

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Book Synopsis Monthly Weather Review by :

Download or read book Monthly Weather Review written by and published by . This book was released on 1987 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt: