Books by ETSU Department of Mathematics Members

Below are links concerning ETSU Department of Mathematics faculty members who have authored or edited books. Links are included to the faculty member, the publisher of the book, and links to the Amazon.com webpage where a copy of the text can be ordered (if available).

Faculty with books in print are:


Dr. Robert Gardner

Dr. Robert "Bob" Gardner has edited one book which is coauthored with Naill Shanks of the ETSU Department of Philosophy. It is entitled Logic, Probability and Science and contains the proceedings of the 1996 meeting of the Society of Exact Philosphy which was held at East Tennessee State University. The book appears as Volume 71 of the Poznan Studies in the Philosophy of the Sciences and Humanities. The ISBN number is 90-420-1253-6 and the ISSN number is 0303-8157. It is published by Rodopi, Amsterdam-Atlanta, from which a copy may be ordered ($55.00 US):

Logic, Probablity and 
Science
Click on the picture of the book to go to the Amazon.com page for this book.

Quoting from the introduction: "The essays gathered in this volume explore philosophical issues in logic, probability theory and the natural sciences. Though the volume explores diverse problems in several different fields of inquiry, a common thread running through the essays is that philosophical insight is brought about through the application of rigorous analytical methods to problems of interest. The essays printed here belong firmly in the broad tradition of analytic philosophy. The conceptual virtues they celebrate are exactitude and clarity." The table of contents is:


Dr. Robert Gardner, along with Dr. Don Hong (now of MTSU), and Jianzhong Wang, have coauthored Real Analysis with an Introduction to Wavelets and Applications. The ISBN number is 0123548616. The book is published by Academic Press, from which a copy may be ordered ($95).


Quoting from the back of the book: Real Analysis with an Introduction to Wavelets provides as in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis." This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications.
The table of contents is:
  1. Fundamentals
  2. Measure Theory
  3. The Lebesgue Integral
  4. Special Topics of Lebesgue Integral and Applications
  5. Vector Spaces, Hilbert Spaces, and the L2 Space
  6. Fourier Analysis
  7. Orthonormal Wavelet Bases
  8. Compactly Supported Wavelets
  9. Wavelets in Signal Processing


Dr. Anant Godbole

Dr. Anant Godbole has edited one book with Stavros G. Papastavridis. It is entitled Runs and Patterns in Probability : Selected Papers and appears as Volume 283 of the Mathematics and Its Applications series of Kluwer Academic Publishers. The ISBN number is 0792328345. It is published by Kluwer Academic Publishers, from which a copy may be ordered ($223.00 US):


Click on the picture of the book to go to the Amazon.com page for this book.

Quoting from the back cover: "The probabilisitic analysis of patterns and runs plays a critical role in fields as diverse as reliability, molecular biology, distribution theory and statistcs. The papers in this volume have been written by a collection of research workers who are experts in these (and other) fields. The probabilistic methods employed by them include the Stein-Chen technique of Poisson approximation, `generating functionology', Markov chain techniques, the `independence principle', combinatorial probability, exchangeability, and hypergeometric evaluations... [This volume] will be of interest to graduate students and research workers in applied probability, reliability theory, combinatorics and statistics. Most of the papers in the volume are expository in nature and can be used as an introduction to a dynamic and growing area of research." The table of contents is:
Part 1: Combinatorial Probability.
1. Expressions in Terms of Binomial Coefficients for Some Multivariate Distributions of Order k, by D.L. Antzoulakos, A.N. Philippou.
2. Success Runs in a Circular Sequence of Independent Bernoulli Trials, by Ch.A. Charalambides.
3. Inversion Techniques and Combinatorial Identities: a Quick Introduction to Hypergeometric Evaluations, by W. Chu.
4. The Two-Color Whitworth Problem for Long Cycles or Long Lines, by F.K. Hwang.
5. Binomial Distributions of Order k on the Circle, by F.S. Marki, A.N. Philippou.
6. Length of the Longest Non-Decreasing Subsequence on Two Symbols, by A.O. Pittenger.
7. Exchangeability and Recursion in the Conditional Distribution Theory of Number and Length of Runs, by E.F. Schuster.
8. The Longest Run of any Letter in a Randomly Generated Word, by K.A. Suman.
Part 2: Reliability Theory and Statistics.
9. Applications of Consecutive System Reliability in Selecting Acceptance Sampling Strategies, by H-I Ahn, W. Kuo.
10. Exact and Approximate Hypercube Reliabilities, by A.P. Godbole, S. Khunger, E. Ososanya.
11. Runs and Patterns with Applications to Reliability, by W.S. Griffith.
12. Robust Procedures for Detecting Non-Random Patterns, by P.C. O'Brien, M.A. Agin.
13. Reliability of Consecutive Weighted k-out-of n: F System, by J-S Wu, R-J Chen.
Part 3: Limit Theorems and Approximations.
14. Pattern Recognition in Markov Chains, by D. Banjevic.
15. On the Waiting Time of Appearance of Given Patterns, by O. Chryssaphinou, S. Papastavridis, T. Tsapelas.
16. Runs and Excursions, by A. Földes.
17. Applications of the Stein-Chen Method to the Theory of Patterns and Runs: an Annotated Bibliography, by A.P. Godbole.
18. Runs of Superimposed Poisson Processes, by A.P. Godbole, H. Zhang.
19. Circular Overlapping Success Runs, by M.V. Koutras, G.K. Papadopoulos, S. Papastavridis.
20. Asymptotic Joint Distribution of Cover Times, by T.F. Móri.


Dr. Teresa Haynes

Dr. Teresa Haynes has edited one book with Stephen T. Hedetniemi, and Peter Slater. It is entitled Domination in Graphs, Advanced Topics. The ISBN number is 0824700341. It is published by Marcel-Dekker, from which a copy may be ordered ($185.00 US):


Click on the picture of the book to go to the Amazon.com page for this book.


Dr. Teresa Haynes has coauthored one book with Stephen Hedetniemi, and Peter Slater. It is entitled Fundamentals of Domination in Graphs. The ISBN number is 0824700333. It is published by Marcel-Dekker, from which a copy may be ordered ($175.00 US):


Click on the picture of the book to go to the Amazon.com page for this book.

Quoting from the promelgomenon: "This book concerns dominating sets and other related subsets in graphs. Our goal is to present a self-contained, comprehensive treatment of this subject - an area of graph theory that is rich in history, applications, interesting questions and results, and unsolved research questions." The table of contents is:

  1. Introduction
  2. Bounds on the Domination Number
  3. Domination, Independence, and Irredundance
  4. Efficiency, Redundancy, and Their Duals
  5. Changing and Unchanging Domination
  6. Conditions on the Dominating Set
  7. Varieties of Domination
  8. Multiproperty and Multiset Parameters
  9. Sums and Products of Parameters
  10. Dominating Functions
  11. Frameworks for Domination
  12. Domination Complexity and Algorithms

Dr. Jeff Knisley

Dr. Jeff Knisley, along with Kevin Shirley, have a book under contract with Wiley entitled Calculus: A Modern Approach. The book should appear in 2007-08.


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