Mathematical Programming Methods for Geographers and Planners


Book Description

Originally published in 1983, this was the first text to offer an in-depth treatment of mathematical programming methods explained from first principles. It considers all the major programming techniques and fully explains key terms, illustrates theories with detailed examples and shows how the various skills are applied in practice. It will be invaluable in both the academic world and to policy formulators and planners, who make extensive use of the methods described.




Modelling in Geography


Book Description

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Spatial Mathematics


Book Description

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.




Mathematical Modelling Techniques


Book Description

"Engaging, elegantly written." — Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity." Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. "A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." — Bulletin of the Institute of Mathematics and Its Applications




Geography and Geographers


Book Description

Geography and Geographers continues to be the most comprehensive and up-to-date overview of human geography available. It provides a survey of the major debates, key thinkers and schools of thought in the English-speaking world, setting them within the context of economic, social, cultural, political and intellectual changes. It is essential reading for all undergraduate geography students. It draws on a wide reading of the geographical literature and addresses the ways geography and its history are understood and the debates among geographers regarding what the discipline should study and how. This extensively updated seventh edition offers a thoroughly contemporary perspective on human geography for new and more experienced students alike.




Quantitative Geography


Book Description

Numerical data are everywhere. Charts and statistics appear not just in geography journals but also in the media, in public policy, and in business and commerce too. To engage with quantitative geography, we must engage with the quantitative methods used to collect, analyse, present and interpret these data. Quantitative Geography: The Basics is the perfect introduction for undergraduates beginning any quantitative methods course. Written in short, user-friendly chapters with full-colour diagrams, the book guides the reader through a wide range of topics from the basic to the more advanced, including: Statistics Maths Graphics Models Mapping and GIS R Closely aligned with the Q-Step quantitative social science programme, Quantitative Geography: The Basics is the ideal starting point for understanding and exploring this fundamental area of Geography.




Space


Book Description

Space is the first accessible text which provides a comprehensive examination of approaches that have crossed between such diverse fields as philosophy, physics, architecture, sociology, anthropology, and geography. The text examines the influence of geometry, arithmetic, natural philosophy, empiricism, and positivism to the development of spatial thinking, as well as focusing on the contributions of phenomenologists, existentialists, psychologists, Marxists, and post-structuralists to how we occupy, live, structure, and perform spaces and practices of spacing. The book emphasises the multiple and partial construction of spaces through the embodied practices of diverse subjects, highlighting the contributions of feminists, queer theorists, anthropologists, sociologists, and post-colonial scholars to academic debates. In contrast to contemporary studies which draw a clear line between scientific and particularly quantitative approaches to space and spatiality and more ‘lived’ human enactments and performances, this book highlights the continual influence of different mathematical and philosophical understandings of space and spatiality on everyday western spatial imaginations and registers in the twenty-first century. Space is possibly the key concept underpinning research in geography, as well as being of central importance to scholars and practitioners working across the arts, humanities, social sciences, and physical sciences.




Urban Planning Methods


Book Description

In order to develop and exercise their skills urban planners need to draw upon a wide variety of methods relating to plan and policy making, urban research and policy analysis. More than ever, planners need to be able to adapt their methods to contemporary needs and circumstances. This introductory textbook focuses on the need to combine traditional research methods with policy analysis in order to understand the true nature of urban planning processes. It describes both planning methods and their underlying concepts and principles, illustrating applications by reference to the daily activities of planning, including the assessment of needs and preferences of the population, the generation and implementation of plans and policies, and the need to take decisions related to the allocation of land, population change, employment, housing and retailing. Ian Bracken also provides a comprehensive guide to the more specialized research literature and case studies of contemporary urban planning practice. This book was first published in 1981.