2011; 126 pp; softcover
ISBN-13: 978-93-80250-20-5
Expected publication date is December 30, 2011.
This book contains the author's notes for a course that he taught at ETH, Zurich. The aim is to lead the reader to a proof of the Peter-Weyl theorem, the basic theorem in the representation theory of compact topological groups. The topological, analytical, and algebraic groundwork needed for the proof is provided as part of the course.
General audience interested in the Peter-Weyl theorem.
"The presentation in this text is clear and to the point. The methods used are good classical ones. This is a good text for a student who knows little about locally compact groups and wants to get an introduction to some of the fundamental ideas needed to begin the study of them."
-- Mathematical Reviews
Topological preliminaries
The Haar measure on a locally compact group
Hilbert spaces and the spectral theorem
Compact groups and their representations
Hardcover. 182 pages.
ISBN: 978-1-57146-228-2
Release date: 17 November 2011
Papers based on selected lectures given at the Current Development Mathematics Conference, held in November 2010 at Harvard University.
The Arf-Kervaire problem in algebraic topology: Sketch of the proof
Michael A. Hill, Michael J. Hopkins, and Douglas C. Ravenel
On the Friedlander-Milnor conjecture for groups of small rank
Fabien Morel
Universal formulas for counting nodal curves on surfaces
Yu-Jong Tzeng
Some recent results on representations of p-adic special orthogonal groups
Jean-Loup Waldspurger
Wellposedness of the two- and three-dimensional full water wave problem
Sijue Wu
Details: ISBN-13: 9781449627782
Hardcover 448 pages c 2013
Will Publish: 1/3/2012
Developed for the "transition" course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematics with Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples.
Chapter 1 Mathematics and Mathematical Activity
Chapter 2 Sets, Numbers, and Axioms
Chapter 3 Elementary Logic
Chapter 4 Planning and Writing Proofs
Chapter 5 Relations and Functions
Chapter 6 The Natural Numbers, Induction, and Counting
Chapter 7 Further Mathematical Explorations
ISBN: 978-0-470-51047-6
Hardcover
272 pages
January 2012
There is relatively little literature on cluster randomized trials, with only two previous books on the subject, both now quite old, and neither were focused on the practical aspects of the trials. This book provides that much needed practical guide to the design, execution and analysis of cluster randomized trials in health services research. It also provides an overview of the topic's numerous recent developments since the 2000 publication of the last book in this area.
The opening chapter defines and introduces cluster randomized trials, before going on to present an overview of the subject's history and recent developments. The following chapters focus on all the major issues presented in the order in which investigators think about issues when they are designing a trial. The chapters focus on: trial quality, reporting, how to design an intervention, how to ensure the validity of results, how to choose both the design and the analysis of the trial, sample size calculations, choosing an intra-cluster correlation coefficient, the uses of piloting, how to conduct a cost-effectiveness analysis, and how these trials should be synthesized.
The book also contains numerous tables, graphs and diagrams and a substantial number of recent trials.
ISBN: 978-0-470-47988-9
Hardcover
352 pages
December 2011
This Second Edition solves a current dilemma that occurs across a wide spectrum of environmental science: how to correctly analyze and interpret censored data (data below detection limits). It adapts survival analysis methods and demonstrates their practical applications when studying trace chemicals in air, water, soils, and biota. This edition features new chapters on plotting data with nondetects, multivariate procedures, and software for data with nondetects, as well as expanded and new sections, including a new section on testing censored data for normal distributions. Environmental professionals and upper-undergraduate and graduate students will rely on this resource.
Introduction to the 1st Edition: An Accident Waiting To Happen xii
Introduction to the 2nd Edition: Invasive Data xvii
1. Things People Do With Censored Data That Are Just Wrong 1
2. Three Approaches to Censored Data 14
3. Reporting Limits 25
4. Reporting, Storing, and Using Censored Data 44
5. Plotting Censored Data 51
6. Computing Summary Statistics and Totals 74
7. Computing Interval Estimates 117
8. What Can Be Done When All Data Are Below the Reporting Limit? 163
9. Comparing Two Groups 176
10. Comparing Three or More Groups 222
11. Correlation 249
12. Regression and Trends 270
13. Multivariate Methods for Censored Data 306
14. The NADA for R Software xxx
Appendix. Datasets xxx
References xxx
Index xxx