Graphs & Digraphs, Fifth Edition

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Product Description

Continuing to provide a carefully written, thorough introduction, Graphs & Digraphs, Fifth Edition expertly describes the concepts, theorems, history, and applications of graph theory. Nearly 50 percent longer than its bestselling predecessor, this edition reorganizes the material and presents many new topics.

New to the Fifth Edition

• New or expanded coverage of graph minors, perfect graphs, chromatic polynomials, nowhere-zero flows, flows in networks, degree sequences, toughness, list colorings, and list edge colorings


• New examples, figures, and applications to illustrate concepts and theorems


• Expanded historical discussions of well-known mathematicians and problems


• More than 300 new exercises, along with hints and solutions to odd-numbered exercises at the back of the book


• Reorganization of sections into subsections to make the material easier to read


• Bolded definitions of terms, making them easier to locate

Despite a field that has evolved over the years, this student-friendly, classroom-tested text remains the consummate introduction to graph theory. It explores the subject s fascinating history and presents a host of interesting problems and diverse applications.

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Graphs & Digraphs, Fifth Edition Review

This book contains a lot of material and covers it very well. The discipline of graph theory is a broad one, and no textbook could possibly cover all of it, but Graphs and Digraphs gets as close to it as you are likely to find in a single book.

The proofs and theorems are stated and proved quickly, giving brief examples only when it feels they are needed. I can see how this would be irritating to a great many students, but this choice allows it to cover far more material without spending pages getting bogged down in extraneous fluff.

The end-of-section questions are extremely well thought out. Where many textbooks only ask students to repeat back to the instructor what they read this one expects the students to think before coming up with an answer. The authors assume that the reader wants to master the subject and therefore needs to learn how to think like a graph theorist and so they ask questions that make the reader work for an answer. I personally prefer this philosophy of textbook writing.

I feel the need to offer a caveat. This book is for those that want to learn graph theory as opposed to those that want to use graph theory. If you are a computer scientist or someone else that wants a reference that will help with writing and analyzing algorithms I would skip over this book unless you are willing to spend the time and effort to learn the subject inside and out, including those parts of graph theory that have no relevance to whatever it is you are working on. The book is very unforgiving toward those that skip past the part where new vocabulary and concepts are introduced.

Chapter Titles:
1. Introduction to Graphs
2. Trees and Connectivity
3. Eulerian and Hamiltonian Graphs
4. Digraphs
5. Graphs: History and Symmetry
6. Planer Graphs
7. Graph Embeddings
8. Vertex Colorings
9. Map Colorings
10. Matchings, Factorization and Domination
11. Edge Colorings
12. Extremal Graph Theory

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Statistics for Spatio-Temporal Data (CourseSmart)

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Product Description

A state-of-the-art presentation of spatio-temporal processes, bridging classic ideas with modern hierarchical statistical modeling concepts and the latest computational methods

Noel Cressie and Christopher K. Wikle, are winners of the 2011 PROSE Award in the Mathematics category, for the book � Statistics for Spatio-Temporal Data� (2011), published by John Wiley and Sons. (The PROSE awards, for Professional and Scholarly Excellence, are given by the Association of American Publishers, the national trade association of the US book publishing industry.)

From understanding environmental processes and climate trends to developing new technologies for mapping public-health data and the spread of invasive-species, there is a high demand for statistical analyses of data that take spatial, temporal, and spatio-temporal information into account. Statistics for Spatio-Temporal Data presents a systematic approach to key quantitative techniques that incorporate the latest advances in statistical computing as well as hierarchical, particularly Bayesian, statistical modeling, with an emphasis on dynamical spatio-temporal models.

Cressie and Wikle �supply a unique presentation that incorporates ideas from the areas of time series and spatial statistics as well as stochastic processes. Beginning with separate treatments of temporal data and spatial data, the book combines these concepts to discuss spatio-temporal statistical methods for understanding complex processes.

Topics of coverage include:

• Exploratory methods for spatio-temporal data, including visualization, spectral analysis, empirical orthogonal function analysis, and LISAs
• Spatio-temporal covariance functions, spatio-temporal kriging, and time series of spatial processes
• Development of hierarchical dynamical spatio-temporal models (DSTMs), with discussion of linear and nonlinear DSTMs and computational algorithms for their implementation
• Quantifying and exploring spatio-temporal variability in scientific applications, including case studies based on real-world environmental data

Throughout the book, interesting applications demonstrate the relevance of the presented concepts. Vivid, full-color graphics emphasize the visual nature of the topic, and a related FTP site contains supplementary material. Statistics for Spatio-Temporal Data is an excellent book for a graduate-level course on spatio-temporal statistics. It is also a valuable reference for researchers and practitioners in the fields of applied mathematics, engineering, and the environmental and health sciences.

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Statistics for Spatio-Temporal Data (CourseSmart) Review

Cressie and Wikle's book is one of the first to address space time models from a statistical point a view and using many of the latest statistical models (the soon to be updated 2003 book Hierarchical Modeling and Analysis for Spatial Data also covered the topic). Hierarchical space time models, Dynamical linear models, incorporating scientific knowledge into your statistical model, and handling massive data by using Fixed Rank Kriging are some of the topics covered. However, there are many intricacies that need to be addressed when modelling spatial data or temporal data. So writing a book covering data using both indices is no easy task. The task to write a book on spatio-temporal models only becomes harder when the goal is to cover the topic from a Bayesian point of view (a field of analysis with its own intricacies that need to be addressed). I believe the authors did a good job in presenting some of the latest space-time models proposed in research. However, there are big issues that are not covered in the book.
- The importance of convergence diagnostics for Bayesian models must be emphasized one way or another when discussing these types of methods. The book pretty much does not touch on convergence at all.
- Research has shown that Matern covariance parameters such as the smoothing parameter and the range, cannot be consistently estimated. This may lead to convergence problems when using MCMC techniques to extract characteristics from the posteriors of these parameters of interest (I found out about this the hard way as a grad student). As a result, at best, only partially reliable inference from your Bayesian analysis may be obtained, a disappointing fact given how computationally intensive Bayesian methods are for space-time models. Considering the major issue, space-time Bayesian models can hardly be called state of the art (as tagged several times in the book). Sadly, this convergence issue is not mentioned at all in the book which would lead to frustration for those constructing these models to try to understand a process of interest.
- Kriging is referred to as the Best Linear Unbiased Predictor. In theory this is true, but this is assuming the spatial covariance parameters are known, which is not really the case in practice. Although this often does not affect much the results if the Gaussian distribution assumption holds, it may drastically affect prediction variances for non-Normal distributions. Cressie has done work on the subject. It appears this issue is not discussed in the book though and if so, it should be clearly emphasized.
- Fixed Rank Kriging (FRK) is referred to as a best linear unbiased predictor. Is it not! In fact, since in practice kriging is often implemented by plugging in estimated parameters into the equations (making the the resulting estimated best linear unbiased predictor an approximation), FRK is truly an approximation of an approximation of the best linear unbiased predictor.
The book proposes its methods as a way to conduct science the way it ought to be: in a critical way, transparent, reproducible and in an objective manner. But the points brought up above makes the book a bit disappointing since it is not critical about the methods that are proposed, which although useful, are certainly not perfect. If there is a new edition in the future, I suggest the authors cover some important material left out and also address some challenges faced when implementing these methods.

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Content-Based Curriculum for High-Ability Learners

You looking to find the "Content-Based Curriculum for High-Ability Learners" Good news! You can purchase Content-Based Curriculum for High-Ability Learners with secure price and compare to view update price on this product. And deals on this product is available only for limited time.

   

Product Description

The newly updated "Content-Based Curriculum for High-Ability Learners" provides a solid introduction to curriculum development in gifted and talented education. Written by experts in the field of gifted education, this text uses cutting-edge design techniques and aligns the core content with national and state standards. In addition to a revision of the original chapters, the second edition contains new chapters on topics such as teaching research skills to gifted students, second language learning, leadership, arts curriculum, and technology. The text is divided into three sections. The first section identifies the basic principles of curriculum development: accelerated learning within the core content areas, use of higher order process skills, development of creative student products, and concept development and learning. The second section incorporates these techniques into a chapter on each core content area: language arts, mathematics, science, and social studies. The third section focuses on the roles of teachers, program coordinators, and administrators during curriculum design: selecting resources and materials, making appropriate instructional choices, and assessing student learning.

Content-Based Curriculum for High-Ability Learners Review

Content-Based Curriculum for High Ability Learners by Joyce VanTassel-Baska and Catherine A. Little. Prufrock Press: Waco, TX 1-800-240-0333
Written by recognized gifted curriculum leader VanTassel-Baska and her associates at the Center for Gifted Education at the College of William and Mary, this service publication of the National Association for Gifted Children illustrates award-winning curriculum units in language arts, social studies and science. It begins with a presentation of the Integrated Curriculum Model, which consists of an advanced content dimension, a process/product dimension, and an issues/themes dimension. Subsequent chapters cover acceleration, incorporating higher order process skills into content, concept development, and developing creative student products. The second section contains chapters on curricula for high ability learners in language arts, science, mathematics and social studies. Each chapter shows how the integrated curriculum model relates to curricular standards advanced by national organizations such as the National Science Education Standards developed by the National Research Council. The emphasis is on adaptation of existing curricula, with examples drawn from the William and Mary curriculum units. The book?s final chapters feature criteria to select appropriate content, resources and instructional strategies. A chapter on assessment deals with test reliability, validity, and authentic assessment concerns. A final chapter assists educators with aligning curricula with state standards. Because the book is very readable, it is particularly useful for educators relatively new to the field while also appropriate for experienced educators. While it does not recommend resources for curriculum decisions, the book provides solid guidelines for educators attempting to differentiate curricula for gifted learners within a diverse body of learners or within a special homogeneous classroom of gifted students.

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Harrison's Pulmonary and Critical Care Medicine

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Product Description

Pulmonary and Critical Care Medicine--with all the authority of HARRISON'S

"Color line drawings are excellent teaching tools and reproduce well....This is a useful introduction to the topic. 3 Stars."--Doody's Review Service

Featuring the chapters on pulmonary and critical care medicine that appear in Harrison's Principles of Internal Medicine, 17e, this compact clinical companion delivers the latest knowledge in the field, backed by the scientific rigor and reliability that have defined Harrison's. Inside you'll find coverage that reflects the expertise of renowned editors and contributors--presented in a carry-anywhere format that makes it ideal for the classroom, the wards, or exam/certification preparation.

Features:

• Current, complete coverage of need-to-know pulmonary and critical care medicine topics, including diagnosis of respiratory disorders, diseases of the respiratory system, and common critical illnesses and syndromes
• Integration of pathophysiology with clinical management topics in each of the disease-oriented topics
• 114 high-yield questions and answers drawn from Harrison's Principles of Internal Medicine Self-Assessment and Board Review, 17e
• A complete chapter in print form from the acclaimed Harrison's DVD
• 45 chapters written by physicians who have made seminal contributions to the body of knowledge in their areas of expertise
• References updated since the publication of Harrison's Principles of Internal Medicine, 17e
• Helpful appendix of laboratory values of clinical importance

The Harrison's specialty series is written by the world-renowned author team who brought you Harrison's Principles of Internal Medicine 17e:
Anthony S. Fauci, MD
Eugene Braunwald, MD
Dennis L. Kasper, MD
Stephen L. Hauser, MD
Dan L. Longo, MD
J. Larry Jameson, MD, PhD
Joseph Loscalzo, MD, PhD

Harrison's Pulmonary and Critical Care Medicine Review

Very comprehensive....from the pathophysiology to the diagnosis and treatment of the most common to the most complex of pulmonary scenarios! Found the "Imaging Atlas" extremely helpful as review for interpretation of CXR and CT of chest. Very easy to read..sections broken down into individual "indexed" components. Will need a companion pocket guide though, too big to carry along outside of clinic. Excellent resource for Board review..particularly helpful is the "self-assessment post-test", the answer key also serves as a comprehensive review of the material!

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