Faculty bookshelves include books authored or edited by Georgia Southern faculty. For book chapters attributed to the author, visit the Mathematical Sciences Faculty Publications page at https://digitalcommons.georgiasouthern.edu/mathscifacpubs/. For a complete list of a faculty member's works, view their SelectedWorks profiles.
This series represents faculty with SelectedWorks profiles. If you are a Georgia Southern faculty member and would like to request a SelectedWorks profile, please fill out the SelectedWorks Profile Registration Form.

Mathematica By Example
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
6152017
Georgia Southern faculty members Martha L. Abell and James P. Braselton coauthored Mathematica by Example, Fifth Edition.
Mathematica by Example, Fifth Edition is an essential desk reference for the beginning Mathematica user, providing stepbystep instructions on achieving results from this powerful software tool. The book fully accounts for the dramatic changes to functionality and visualization capabilities in the most recent version of Mathematica (10.4). It accommodates the full array of new extensions in the types of data and problems that Mathematica can immediately handle, including cloud services and systems, geographic and geometric computation, dynamic visualization, interactive applications and other improvements. ... Read more

Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life
Maria Cristina Pereyra, University of New Mexico; Stefania Marcantognini, Venezuelan Institute for Scientific Research; Alexander M. Stokolos, Georgia Southern University; and Wilfredo Urbina Romero, Roosevelt University
2017
Georgia Southern faculty member Alexander Stokolos coedited Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life (Volume 2) in collaboration with nonfaculty members Maria Cristina Pereyra, Stefania Marcantognini, and Wilfredo Urbina Romero.
Book Summary: This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fullyrefereed, highquality papers exploring new results and trends in weighted norm inequalities, SchurAgler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will ... Read more

An Invitation to the Rogers–Ramanujan Identities
Andrew V. Sills, Georgia Southern University
10122017
Georgia Southern faculty member Andrew Sills authored An Invitation to the RogersRamanujan Identities.
Book Summary: The RogersRamanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers—Ramanujan identities and will include related historical material that is unavailable elsewhere.
Features:
 ... Read more

Differential Equations with Mathematica
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
9132016
Georgia Southern faculty members Martha L. Abell and James P. Braselton coauthored Differential Equations with Mathematica, 4th Edition.
Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists.
Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s builtin functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform ... Read more

Introduction to Numerical Methods
Aniruddha Mitra, Georgia Southern University and Aditi Mitri, Georgia Southern University
7292016
Georgia Southern University faculty members Aditi Mitri and Aniruddha Mitra coauthored Introduction to Numerical Methods.
Book Summary: Written for sophomorelevel students in mechanical engineering programs and designed to give them the math preparation they need to succeed in higher level mechanical engineering courses, Introduction to Numerical Methods incorporates theory and workedout engineeringrelated problems that apply that theory, as well as relevant laboratory exercises.
Ideally suited to onesemester, threecredit, problem solving sessionbased courses, the book covers errors in computation, rounding and chopping, solving equations with numerical techniques, matrixes and vectors, and complex numbers. The material also includes an introduction to optimization, ... Read more

Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life
Maria Cristina Pereyra, University of New Mexico; Stefania Marcantognini, Venezuelan Institute for Scientific Research; Alexander M. Stokolos, Georgia Southern University; and Wilfredo Urbina Romero, Roosevelt University
2016
Georgia Southern faculty member Alexander Stokolos coedited Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life (Volume 1) in collaboration with nonfaculty members Maria Cristina Pereyra, Stefania Marcantognini, and Wilfredo Urbina Romero.
Book Summary: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fullyrefereed, highquality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will ... Read more

Introductory Differential Equations
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
112014
Georgia Southern University faculty members Martha L. Abell and James P. Braselton coauthored Introductory Differential Equations.
Book Summary: Introductory Differential Equations is designed to provide students with both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations.

Introductory Differential Equations
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
2014
Georgia Southern faculty members Martha L. Abell and James P. Braselton coauthored Introductory Differential Equations.
Book Summary:
This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems.
Some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its ... Read more

Instructor's Guide with Full Solutions
Patricia B. Humphrey, Georgia Southern University
2014
Georgia Southern University faculty member Patricia B. Humphrey authored "Instructors Guide with Full Solutions" to accompany the publication Statistics in Practice.
Book Summary:
Statistics in Practice is an exciting new addition to W.H. Freeman’s introductory statistics list. Coauthored by David Moore, it maintains his pioneering data analysis approach but incorporates significant changes designed to help students. Statistics in Practice introduces data collection early, covers tests of proportions first before tests of means, and engages students with its conversational writing style. SIP is a modern approach to the introductory statistics course, clearly showing the importance of statistics to students during their ... Read more

Instructor's Guide with Full Solutions
Patricia B. Humphrey, Georgia Southern University
2014
Georgia Southern University faculty member authored "Instructor's Guide with Full Solutions" to accompany the publication Introduction to the Practice of Statistics.
Book Summary:
With this updated new edition, the marketleading Introduction to the Practice of Statistics (IPS) remains unmatched in its ability to show how statisticians actually work. Its focus on data analysis and critical thinking, stepbystep pedagogy, and applications in a variety of professions and disciplines make it exceptionally engaging to students learning core statistical ideas.

Instructor's Guide with Full Solutions
Patricia B. Humphrey, Georgia Southern University
112014
Georgia Southern University faculty member Patricia B. Humphrey authored Instructor's Guide with Full Solutions for the publications Statistics in Practice and Introduction to the Practice of Statistics .

Student Solutions Manual
Patricia B. Humphrey, Georgia Southern University
2014
Georgia Southern University faculty member Patricia B. Humphrey authored "Student Solutions Manual" to accompany the publication Statistics in Practice.
Book Summary:
Statistics in Practice is an exciting new addition to W.H. Freeman’s introductory statistics list. Coauthored by David Moore, it maintains his pioneering data analysis approach but incorporates significant changes designed to help students. Statistics in Practice introduces data collection early, covers tests of proportions first before tests of means, and engages students with its conversational writing style. SIP is a modern approach to the introductory statistics course, clearly showing the importance of statistics to students during their academic life ... Read more

Student Solutions Manual
Patricia B. Humphrey, Georgia Southern University
112014
Georgia Southern University faculty member Patricia B. Humphrey authored Student Solutions Manual for the publication Statistics in Practice.

Student Study Guide with Solutions Manual
Patricia B. Humphrey, Georgia Southern University
412014
Georgia Southern University faculty member Patricia B. Humphrey authored Student Study Guide with Solutions Manual for the publication Introduction to the Practice of Statistics.
Book Summary: This manual provides steppedthrough solutions for all oddnumbered exercises in the text. Available electronically within LaunchPad, as well as in print form.

Student Study Guide with Solutions Manual
Patricia B. Humphrey, Georgia Southern University
2014
Georgia Southern University faculty member Patricia B. Humphrey authored "Student Study Guide with Solutions Manual" to accompany the publication Introduction to the Practice of Statistics.
Chapter Summary:
This manual provides steppedthrough solutions for all oddnumbered exercises in the text. Available electronically within LaunchPad, as well as in print form.

A Youtube Calculus Workbook (Part 2)
Frédéric D. Mynard, Georgia Southern University
112014
Georgia Southern University faculty member Frédéric D. Mynard authored A Youtube Calculus Workbook (Part 2).
Book Summary: This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level second Calculus course, or equivalently, together with the first workbook, an AP Calculus BC course. The book further provides simple summary of videos, written definitions and statements, worked out exampleseven though fully stepbystep solutions are to be found in the videos and an index. The playlist and the book are ... Read more

Contemporary Mathematics: Radon Transforms, Geometry, and Wavelets  AMS Book Series
Gestur Olafsson, Eric L. Grinberg, and David Larson et al.
112014
Georgia Southern University faculty member Shijun Zheng coauthored “Harmonic Analysis Related to Schrödinger Operators” in the publication Contemporary Mathematics in AMS Book Series.
Chapter Summary: In this article we give an overview on some recent development of LittlewoodPaley theory for Schrödinger operators. We extend the LittlewoodPaley theory for special potentials considered in the authors' previous work. We elaborate our approach by considering potential in C∞0 or Schwartz class in one dimension. In particular the low energy estimates are treated by establishing some new and refined asymptotics for the eigenfunctions and their Fourier transforms. We give maximal function characterization of the ... Read more

College Algebra in Context with Applications to the Managerial, Life, and Social Sciences (4th Ed.)
Ronald J. Harshbarger, University of South Carolina  Beaufort and Lisa S. Yocco, Georgia Southern University
112013
Georgia Southern University faculty member Lisa S. Yocco coauthored College Algebra in Context with Applications to the Managerial, Life, and Social Sciences.
Book Summary: College Algebra in Context, Fourth Edition is ideal for students majoring in business, social sciences, and life sciences. The authors use modeling, applications, and realdata problems to develop skills, giving you the practice you need to become an adept problem solver in your future courses and career.

A Youtube Calculus Workbook (Part 1)
Frédéric D. Mynard, Georgia Southern University
112013
Georgia Southern University faculty member Frédéric D. Mynard authored A Youtube Calculus Workbook (Part 1).
Book Summary: This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level first Calculus course, or equivalently an AP Calculus AB course. The book further provides simple summary of videos, written definitions and statements, worked out exampleseven though fully stepbystep solutions are to be found in the videos and an index. The playlist and the book are divided into 15 thematic learning modules. At ... Read more

Partitions, qSeries, and Modular Forms
K. Alladi and F. Garvan
112012
Georgia Southern University faculty member Andrew Sills coauthored “Lecture Hall Sequences, qseries, and Asymmetric Partition Identities” in the publication Proceedings of the Conference on Partitions, qSeries, and Modular Forms, University of Florida, March 1216, 2008, Partitions, qseries, and Modular Forms in Developments in Mathematics.
Chapter Summary: We use generalized lecture hall partitions to discover a new pair of qseries identities. These identities are unusual in that they involve partitions into parts from asymmetric residue classes, much like the little Göllnitz partition theorems. We derive a twoparameter generalization of our identities that, surprisingly, gives new analytic counterparts of the little Göllnitz ... Read more

PROMS
Dmitriy Bilyk
112012
Georgia Southern University faculty member Alexander M. Stokolos coauthored “On Scientific Work of K.I.Oskolkov” in the publication PROMS
Chapter Summary: This chapter is a brief account of the life and the scientific work of K.I. Oskolkov.

Privacy in Statistical Databases, Lecture Notes in Computer Science 7556
Joseph DomingoFerrer and Iienia Rinnirello
112012
Georgia Southern University faculty member Anna Oganian coauthored "Hybrid Microdata via ModelBased Clustering" in Privacy in Statistical Databases.
Chapter Summary: In this paper we propose a new scheme for statistical disclosure limitation which can be classified as a hybrid method of protection, that is, a method that combines properties of perturbative and synthetic methods. This approach is based on modelbased clustering with the subsequent synthesis of the records within each cluster. The novelty is that the clustering and synthesis methods have been carefully chosen to fit each other in view of reducing information loss. The modelbased clustering tries to obtain ... Read more

Distance in Molecular Graphs Theory
Ivan Gutman and Boris Furtula
112012
Georgia Southern University faculty member Hua Wang authored “Mathematical Chemistry Monographs” in the publication Distance in Molecular Graphs Theory.

Contemporary Mathematics: Recent Advances in Harmonic Analysis and Partial Differential Equations
Andrea R. Nahmod, University of Massachusetts  Amherst; Christopher D. Sogge, John Hopkins University; Xiaoyi Zhang, University of Iowa; and Shijun Zheng, Georgia Southern University
1212012
Georgia Southern University faculty member Shijun Zheng coedited Contemporary Mathematics: Recent Advances in Harmonic Analysis and Partial Differential Equations. Shijun Zheng also authored “Fractional Regularity for Nonlinear Schödinger Equations with Magnetic Fields” in the publication.
Book Summary: This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 1213, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 2125, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated ... Read more

Minitab Manual with Solutions to Selected Problems (2nd Edition)
Patricia B. Humphrey, Georgia Southern University
112011
Georgia Southern University faculty member Patricia B. Humphrey authored Minitab Manual with Solutions to Selected Problems (2nd Edition) for the publication The Practice of Statistics in the Life Sciences.