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Association Schemes
  • Language: en
  • Pages: 410

Association Schemes

Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.

Commutative Algebra and Algebraic Geometry
  • Language: en
  • Pages: 192

Commutative Algebra and Algebraic Geometry

The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

Lacey, Wells and Quick Reconstructing Criminal Law
  • Language: en
  • Pages: 943

Lacey, Wells and Quick Reconstructing Criminal Law

  • Categories: Law

This truly groundbreaking textbook explores traditional and broader fields of criminal law and justice to give a full perspective on the subject.

Steps in Commutative Algebra
  • Language: en
  • Pages: 371

Steps in Commutative Algebra

Introductory account of commutative algebra, aimed at students with a background in basic algebra.

An Introduction to Invariants and Moduli
  • Language: en
  • Pages: 528

An Introduction to Invariants and Moduli

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Tolerance Graphs
  • Language: en
  • Pages: 282

Tolerance Graphs

The study of algorithmic graph theory and structured families of graphs is an important branch of discrete mathematics. It finds numerous applications, from data transmission through networks to efficiently scheduling aircraft and crews, as well as contributing to breakthroughs in genetic analysis and studies of the brain. Especially important have been the theory and applications of new intersection graph models such as generalizations of permutation graphs and interval graphs. One of these is the study of tolerance graphs and tolerance orders. This book contains the first thorough study of tolerance graphs and related topics, indeed the authors have included proofs of major results previously unpublished in book form. It will act as a springboard for researchers, and especially graduate students, to pursue new directions of investigation. With many examples and exercises it is also suitable for use as the text for a graduate course in graph theory.

An Introduction to Nonlinear Analysis
  • Language: en
  • Pages: 380

An Introduction to Nonlinear Analysis

The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.

Spatial Information Theory: Foundations of Geographic Information Science
  • Language: en
  • Pages: 517

Spatial Information Theory: Foundations of Geographic Information Science

  • Type: Book
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  • Published: 2003-06-30
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  • Publisher: Springer

The 5th International Conference on Spatial Information Theory, COSIT 2001, took place at the Inn at Morro Bay, California, USA, September 19 23, 2001. COSIT grew out of a series of workshops/NATO Advanced Study Institutes/NSF Specialist Meetings during the 1990s concerned with theoretical and applied aspects of representing large scale space, particularly geographic or environmental space (this history is elaborated in the prefaces of previous COSIT proceedings). These are spaces in which (and on which) human action takes place, and which are represented and processed in digital geographic information systems. In these early meetings, the need for well founded theories of spatial informatio...

Lectures in Logic and Set Theory: Volume 2, Set Theory
  • Language: en
  • Pages: 596

Lectures in Logic and Set Theory: Volume 2, Set Theory

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.

Real Analysis and Probability
  • Language: en
  • Pages: 570

Real Analysis and Probability

This classic text offers a clear exposition of modern probability theory.