Introductory Map Theory

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How to Make Maps

Author : Peter Anthamatten
Publisher : Routledge
ISBN 13 : 135165652X
Total Pages : 347 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis How to Make Maps by : Peter Anthamatten

Download or read book How to Make Maps written by Peter Anthamatten and published by Routledge. This book was released on 2020-12-27 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of How to Make Maps is to equip readers with the foundational knowledge of concepts they need to conceive, design, and produce maps in a legible, clear, and coherent manner, drawing from both classical and modern theory in cartography. This book is appropriate for graduate and undergraduate students who are beginning a course of study in geospatial sciences or who wish to begin producing their own maps. While the book assumes no a priori knowledge or experience with geospatial software, it may also serve GIS analysts and technicians who wish to explore the principles of cartographic design. The first part of the book explores the key decisions behind every map, with the aim of providing the reader with a solid foundation in fundamental cartography concepts. Chapters 1 through 3 review foundational mapping concepts and some of the decisions that are a part of every map. This is followed by a discussion of the guiding principles of cartographic design in Chapter 4—how to start thinking about putting a map together in an effective and legible form. Chapter 5 covers map projections, the process of converting the curved earth’s surface into a flat representation appropriate for mapping. Chapters 6 and 7 discuss the use of text and color, respectively. Chapter 8 reviews trends in modern cartography to summarize some of the ways the discipline is changing due to new forms of cartographic media that include 3D representations, animated cartography, and mobile cartography. Chapter 9 provides a literature review of the scholarship in cartography. The final component of the book shifts to applied, technical concepts important to cartographic production, covering data quality concepts and the acquisition of geospatial data sources (Chapter 10), and an overview of software applications particularly relevant to modern cartography production: GIS and graphics software (Chapter 11). Chapter 12 concludes the book with examples of real-world cartography projects, discussing the planning, data collection, and design process that lead to the final map products. This book aspires to introduce readers to the foundational concepts—both theoretical and applied—they need to start the actual work of making maps. The accompanying website offers hands-on exercises to guide readers through the production of a map—from conception through to the final version—as well as PowerPoint slides that accompany the text.

An Introduction To The Theory Of Wave Maps And Related Geometric Problems

Author : Dan-andrei Geba
Publisher : World Scientific Publishing Company
ISBN 13 : 9814713929
Total Pages : 496 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis An Introduction To The Theory Of Wave Maps And Related Geometric Problems by : Dan-andrei Geba

Download or read book An Introduction To The Theory Of Wave Maps And Related Geometric Problems written by Dan-andrei Geba and published by World Scientific Publishing Company. This book was released on 2016-08-18 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only from analysis, but also from geometry and topology. Moreover, the wave maps system is nothing other than the Euler-Lagrange system for the nonlinear sigma model, which is one of the fundamental problems in classical field theory. One of the goals of our book is to give an up-to-date and almost self-contained overview of the main regularity results proved for wave maps. Another one is to introduce, to a wide mathematical audience, physically motivated generalizations of the wave maps system (e.g., the Skyrme model), which are extremely interesting and difficult in their own right.

The Map Reader

Author : Martin Dodge
Publisher : John Wiley & Sons
ISBN 13 : 0470980079
Total Pages : 528 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis The Map Reader by : Martin Dodge

Download or read book The Map Reader written by Martin Dodge and published by John Wiley & Sons. This book was released on 2011-05-09 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: WINNER OF THE CANTEMIR PRIZE 2012 awarded by the Berendel Foundation The Map Reader brings together, for the first time, classic and hard-to-find articles on mapping. This book provides a wide-ranging and coherent edited compendium of key scholarly writing about the changing nature of cartography over the last half century. The editorial selection of fifty-four theoretical and thought provoking texts demonstrates how cartography works as a powerful representational form and explores how different mapping practices have been conceptualised in particular scholarly contexts. Themes covered include paradigms, politics, people, aesthetics and technology. Original interpretative essays set the literature into intellectual context within these themes. Excerpts are drawn from leading scholars and researchers in a range of cognate fields including: Cartography, Geography, Anthropology, Architecture, Engineering, Computer Science and Graphic Design. The Map Reader provides a new unique single source reference to the essential literature in the cartographic field: more than fifty specially edited excerpts from key, classic articles and monographs critical introductions by experienced experts in the field focused coverage of key mapping practices, techniques and ideas a valuable resource suited to a broad spectrum of researchers and students working in cartography and GIScience, geography, the social sciences, media studies, and visual arts full page colour illustrations of significant maps as provocative visual ‘think-pieces’ fully indexed, clearly structured and accessible ways into a fast changing field of cartographic research

An Introduction to Module Theory

Author : Ibrahim Assem
Publisher : Oxford University Press
ISBN 13 : 0198904924
Total Pages : 609 pages
Book Rating : 4.1/5 (989 download)

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Book Synopsis An Introduction to Module Theory by : Ibrahim Assem

Download or read book An Introduction to Module Theory written by Ibrahim Assem and published by Oxford University Press. This book was released on 2024-11-21 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, written by two experienced teachers and researchers in the area, is based on courses given in their respective universities over the last thirty years. It is an accessible and modern account of module theory, meant as a textbook for graduate or advanced undergraduate students, though it can also be used for self-study. It is aimed at students in algebra, or students who need algebraic tools in their work. Following the recent trends in the area, the general approach stresses from the start the use of categorical and homological techniques. The book includes self-contained introductions to category theory and homological algebra with applications to Module theory, and also contains an introduction to representations of quivers. It includes a very large number of examples of all kinds worked out in detail, mostly of abelian groups, modules over matrix algebras, polynomial algebras, or algebras given by bound quivers. In order to help visualise and analyse examples, it includes many figures. Each section is followed by exercises of all levels of difficulty, both computational and theoretical, with hints provided to some of them.

An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs

Author : Mariano Giaquinta
Publisher : Springer Science & Business Media
ISBN 13 : 8876424431
Total Pages : 373 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs by : Mariano Giaquinta

Download or read book An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and L^p-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1. In this second deeply revised edition we also included the regularity of 2-dimensional weakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of the L^p theory, including the celebrated results of Wente and of Coifman-Lions-Meyer-Semmes.

Introduction to Queueing Theory

Author : Robert B. Cooper
Publisher :
ISBN 13 :
Total Pages : 277 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Introduction to Queueing Theory by : Robert B. Cooper

Download or read book Introduction to Queueing Theory written by Robert B. Cooper and published by . This book was released on 1972 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is not intended to be characterized as either 'theoretical' or 'applied'. The emphasis of the book is on understanding the interplay of mathematical and heuristic reasoning that underlies queueing theory and its applications, with the following two objectives: 1) To give the student sufficient understanding of the theory so that he will be able to apply it in the practice of operations research, and 2) To give the student the background required to read the literature and embark on research.

Introduction to Facet Theory

Author : Samuel Shye
Publisher : SAGE Publications, Incorporated
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Facet Theory by : Samuel Shye

Download or read book Introduction to Facet Theory written by Samuel Shye and published by SAGE Publications, Incorporated. This book was released on 1994-05-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using detailed examples, the authors introduce readers to the use of facet theory as a method for integrating content design with data analysis. They show how facet theory provides a strategy for conceptualizing a study, for formulating the study's variables in terms of its purposes, for systematic sampling of the variables and for formulating hypotheses. The first part of the book introduces mapping with specific emphasis on mapping sentences. Part Two explores procedures for processing multivariate data. In conclusion there is a discussion of the nature of scientific enquiry and the difference between research questions and observational questions.

Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition)

Author : Miklos Bona
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100729
Total Pages : 567 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition) by : Miklos Bona

Download or read book Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Third Edition) written by Miklos Bona and published by World Scientific Publishing Company. This book was released on 2011-05-09 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first two editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs (new to this edition), enumeration under group action (new to this edition), generating functions of labeled and unlabeled structures and algorithms and complexity.As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected].

Introduction to Model Theory

Author : Philipp Rothmaler
Publisher : CRC Press
ISBN 13 : 0429668503
Total Pages : 324 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Introduction to Model Theory by : Philipp Rothmaler

Download or read book Introduction to Model Theory written by Philipp Rothmaler and published by CRC Press. This book was released on 2018-12-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.

Homotopy Theory: An Introduction to Algebraic Topology

Author :
Publisher : Academic Press
ISBN 13 : 0080873804
Total Pages : 383 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Homotopy Theory: An Introduction to Algebraic Topology by :

Download or read book Homotopy Theory: An Introduction to Algebraic Topology written by and published by Academic Press. This book was released on 1975-11-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy Theory: An Introduction to Algebraic Topology

Introduction to Stable Homotopy Theory

Author : David Barnes
Publisher : Cambridge University Press
ISBN 13 : 1108482783
Total Pages : 431 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Introduction to Stable Homotopy Theory by : David Barnes

Download or read book Introduction to Stable Homotopy Theory written by David Barnes and published by Cambridge University Press. This book was released on 2020-03-26 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

Walk Through Combinatorics, A: An Introduction To Enumeration, Graph Theory, And Selected Other Topics (Fifth Edition)

Author : Miklos Bona
Publisher : World Scientific
ISBN 13 : 9811277869
Total Pages : 636 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Walk Through Combinatorics, A: An Introduction To Enumeration, Graph Theory, And Selected Other Topics (Fifth Edition) by : Miklos Bona

Download or read book Walk Through Combinatorics, A: An Introduction To Enumeration, Graph Theory, And Selected Other Topics (Fifth Edition) written by Miklos Bona and published by World Scientific. This book was released on 2023-08-08 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first half of the book walks the reader through methods of counting, both direct elementary methods and the more advanced method of generating functions. Then, in the second half of the book, the reader learns how to apply these methods to fascinating objects, such as graphs, designs, random variables, partially ordered sets, and algorithms. In short, the first half emphasizes depth by discussing counting methods at length; the second half aims for breadth, by showing how numerous the applications of our methods are.New to this fifth edition of A Walk Through Combinatorics is the addition of Instant Check exercises — more than a hundred in total — which are located at the end of most subsections. As was the case for all previous editions, the exercises sometimes contain new material that was not discussed in the text, allowing instructors to spend more time on a given topic if they wish to do so. With a thorough introduction into enumeration and graph theory, as well as a chapter on permutation patterns (not often covered in other textbooks), this book is well suited for any undergraduate introductory combinatorics class.

Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition)

Author : Miklos Bona
Publisher : World Scientific Publishing Company
ISBN 13 : 9813148861
Total Pages : 614 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition) by : Miklos Bona

Download or read book Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition) written by Miklos Bona and published by World Scientific Publishing Company. This book was released on 2016-09-15 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first three editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.New to this edition are the Quick Check exercises at the end of each section. In all, the new edition contains about 240 new exercises. Extra examples were added to some sections where readers asked for them.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs, enumeration under group action, generating functions of labeled and unlabeled structures and algorithms and complexity.The book encourages students to learn more combinatorics, provides them with a not only useful but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected] previous edition of this textbook has been adopted at various schools including UCLA, MIT, University of Michigan, and Swarthmore College. It was also translated into Korean.

Spatial Mathematics

Author : Sandra Lach Arlinghaus
Publisher : CRC Press
ISBN 13 : 146650532X
Total Pages : 302 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Spatial Mathematics by : Sandra Lach Arlinghaus

Download or read book Spatial Mathematics written by Sandra Lach Arlinghaus and published by CRC Press. This book was released on 2013-06-26 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as a critical, but often unseen, component. This approach shows readers how to use mathematics to consider the broad problem at hand and to explore diverse realms in the worlds of geography and mathematics and in their interface. A truly interdisciplinary text, the book bridges the worlds of mathematics and geography and demonstrates how they are inextricably linked. It takes advantage of the convergence in citizen science, STEM education, and mapping that help readers become critical consumers of data—understanding its content, quality, limitations, and benefits. It provides thorough grounding in the analytical, statistical, and computational skills required for working in any field that uses geospatial technologies—not just surveyors and remote sensing analysts.

Literature and Cartography

Author : Anders Engberg-Pedersen
Publisher : MIT Press
ISBN 13 : 0262036746
Total Pages : 482 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Literature and Cartography by : Anders Engberg-Pedersen

Download or read book Literature and Cartography written by Anders Engberg-Pedersen and published by MIT Press. This book was released on 2017-11-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship of texts and maps, and the mappability of literature, examined from Homer to Houellebecq. Literary authors have frequently called on elements of cartography to ground fictional space, to visualize sites, and to help readers get their bearings in the imaginative world of the text. Today, the convergence of digital mapping and globalization has spurred a cartographic turn in literature. This book gathers leading scholars to consider the relationship of literature and cartography. Generously illustrated with full-color maps and visualizations, it offers the first systematic overview of an emerging approach to the study of literature. The literary map is not merely an illustrative guide but represents a set of relations and tensions that raise questions about representation, fiction, and space. Is literature even mappable? In exploring the cartographic components of literature, the contributors have not only brought literary theory to bear on the map but have also enriched the vocabulary and perspectives of literary studies with cartographic terms. After establishing the theoretical and methodological terrain, they trace important developments in the history of literary cartography, considering topics that include Homer and Joyce, Goethe and the representation of nature, and African cartographies. Finally, they consider cartographic genres that reveal the broader connections between texts and maps, discussing literary map genres in American literature and the coexistence of image and text in early maps. When cartographic aspirations outstripped factual knowledge, mapmakers turned to textual fictions. Contributors Jean-Marc Besse, Bruno Bosteels, Patrick M. Bray, Martin Brückner, Tom Conley, Jörg Dünne, Anders Engberg-Pedersen, John K. Noyes, Ricardo Padrón, Barbara Piatti, Simone Pinet, Clara Rowland, Oliver Simons, Robert Stockhammer, Dominic Thomas, Burkhardt Wolf

Concept Mapping for Planning and Evaluation

Author : Mary Kane
Publisher : SAGE Publications, Incorporated
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Concept Mapping for Planning and Evaluation by : Mary Kane

Download or read book Concept Mapping for Planning and Evaluation written by Mary Kane and published by SAGE Publications, Incorporated. This book was released on 2007 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a complete guide to the concept mapping methodology and strategies behind using it for a broad range of social scientists - including students, researchers and practitioners.

Introduction to Homotopy Theory

Author : Paul Selick
Publisher : American Mathematical Soc.
ISBN 13 : 9780821844366
Total Pages : 220 pages
Book Rating : 4.8/5 (443 download)

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Book Synopsis Introduction to Homotopy Theory by : Paul Selick

Download or read book Introduction to Homotopy Theory written by Paul Selick and published by American Mathematical Soc.. This book was released on 2008 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.