5 Mathematics e-Books

* Biostatistics and Epidemiology: A Primer for Health and Biomedical Professionals, Fourth Edition
* Bayesian Networks in Educational Assessment
* Statistical Analysis and Data Display: An Intermediate Course with Examples in R, Second Edition
* Annotated Readings in the History of Statistics
* A Course in Calculus and Real Analysis

Biostatistics and Epidemiology: A Primer for Health and Biomedical Professionals, Fourth Edition
English | PDF | 2015 | 277 Pages | ISBN : 1493921339 | 6.25 MB
Since the publication of the first edition, Biostatistics and Epidemiology has attracted loyal readers from across specialty areas in the biomedical community. Not only does this textbook teach foundations of epidemiological design and statistical methods, but it also includes topics applicable to new areas of research. Areas covered in the fourth edition include a new chapter on risk prediction, risk reclassification and evaluation of biomarkers, new material on propensity analyses, and a vastly expanded chapter on genetic epidemiology, which is particularly relevant to those who wish to understand the epidemiological and statistical aspects of scientific articles in this rapidly advancing field. Biostatistics and Epidemiology was written to be accessible for readers without backgrounds in mathematics.
It provides clear explanations of underlying principles, as well as practical guidelines of "how to do it" and "how to interpret it." Key features include a philosophical and logical explanation at the beginning of the book, subsections that can stand alone or serve as reference, cross-referencing, recommended reading, and appendices covering sample calculations for various statistics in the text.

Bayesian Networks in Educational Assessment
English | EPUB | 2015 | 678 Pages | ISBN : 149392124X | 6.45 MB
Bayesian inference networks, a synthesis of statistics and expert systems, have advanced reasoning under uncertainty in medicine, business, and social sciences. This innovative volume is the first comprehensive treatment exploring how they can be applied to design and analyze innovative educational assessments.
Part I develops Bayes nets' foundations in assessment, statistics, and graph theory, and works through the real-time updating algorithm. Part II addresses parametric forms for use with assessment, model-checking techniques, and estimation with the EM algorithm and Markov chain Monte Carlo (MCMC). A unique feature is the volume's grounding in Evidence-Centered Design (ECD) framework for assessment design. This "design forward" approach enables designers to take full advantage of Bayes nets' modularity and ability to model complex evidentiary relationships that arise from performance in interactive, technology-rich assessments such as simulations. Part III describes ECD, situates Bayes nets as an integral component of a principled design process, and illustrates the ideas with an in-depth look at the BioMass project: An interactive, standards-based, web-delivered demonstration assessment of science inquiry in genetics.
This book is both a resource for professionals interested in assessment and advanced students. Its clear exposition, worked-through numerical examples, and demonstrations from real and didactic applications provide invaluable illustrations of how to use Bayes nets in educational assessment. Exercises follow each chapter, and the online companion site provides a glossary, data sets and problem setups, and links to computational resources.

Statistical Analysis and Data Display: An Intermediate Course with Examples in R, Second Edition
English | PDF,EPUB | 2015 | 909 Pages | ISBN : 1493921215 | 38.07 MB
This contemporary presentation of statistical methods features extensive use of graphical displays for exploring data and for displaying the analysis. The authors demonstrate how to analyze data-showing code, graphics, and accompanying tabular listings-for all the methods they cover. Complete R scripts for all examples and figures are provided for readers to use as models for their own analyses.
This book can serve as a standalone text for statistics majors at the master's level and for other quantitatively oriented disciplines at the doctoral level, and as a reference book for researchers. Classical concepts and techniques are illustrated with a variety of case studies using both newer graphical tools and traditional tabular displays.
New graphical material includes:
an expanded chapter on graphics
a section on graphing Likert Scale Data to build on the importance of rating scales in fields from population studies to psychometrics
a discussion on design of graphics that will work for readers with color-deficient vision
an expanded discussion on the design of multi-panel graphics
expanded and new sections in the discrete bivariate statistics capter on the use of mosaic plots for contingency tables including the n--2--2 tables for which the Mantel-Haenszel-Cochran test is appropriate
an interactive (using the shiny package) presentation of the graphics for the normal and t-tables that is introduced early and used in many chapters

Annotated Readings in the History of Statistics
English | PDF | 2001 | 252 Pages | ISBN : 1441931740 | 20.15 MB
Interest in the his tory of statistics has grown substantially in recent years and the subject is now covered by a number of excellent books. S. M. Stigler's The History of Statistics (19S6) gives an overview up to 1900 while Anders Hald's two encyclopedic volumes A History of Probability and Statistics before 1750 and A History of Mathematical Statistics f'T'Om 1750 to 1930, published in 1990 and 1995, provide detailed mathematical discussion of the major contributions up to 1930.
Hald's books have re- moved Isaac Todhunter's A History of Probability from the pedestal which it occupied for a century and a quarter and rendered Karl Pearson's Lec- ture Notes of mainly historical interest themselves. Journal papers have appeared on specific topics, especially in the series "Studies in the History of Probability and Statistics" in Biometrika and in the long sequence of papers in Archive for the History of the Exact Sciences by O. Sheynin. The two volumes of reprinted papers, mostly from Biometrika, issued in 1970 and 1977 have proved particularly valuable. More recently, many important papers published since 1900 have been reprinted with commentaries in the three-volume Breakth'T'Oughs in Statistics (1992-1997). Stigler's Statistics on the Table (1999) provides illuminating vignettes. In addition, specialized books have appeared on particular topics, such as A. I. Dale's A History of Inverse P'T'Obability (1991, 1999) and R. W. Fare- brother's Fitting Linear Relationships (199S). The pioneering book on the early period, F. N.

A Course in Calculus and Real Analysis
English | PDF | 2006 | 442 Pages | ISBN : 0387305300 | 7.48 MB
This book provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors have strived to make a distinction between the intrinsic definition of a geometric notion and its analytic characterization.
Throughout the book, the authors highlight the fact that calculus provides a firm foundation to several concepts and results that are generally encountered in high school and accepted on faith. For example, one can find here a proof of the classical result that the ratio of the circumference of a circle to its diameter is the same for all circles. Also, this book helps students get a clear understanding of the concept of an angle and the definitions of the logarithmic, exponential and trigonometric functions together with a proof of the fact that these are not algebraic functions. A number of topics that may have been inadequately covered in calculus courses and glossed over in real analysis courses are treated here in considerable detail. As such, this book provides a unified exposition of calculus and real analysis.
The only prerequisites for reading this book are topics that are normally covered in high school; however, the reader is expected to possess some mathematical maturity and an ability to understand and appreciate proofs. This book can be used as a textbook for a serious undergraduate course in calculus, while parts of the book can be used for advanced undergraduate and graduate courses in real analysis. Each chapter contains several examples and a large selection of exercises, as well as "Notes and Comments" describing salient features of the exposition, related developments and references to relevant literature.