About this Collection
The books archived in this Georgia Southern Commons collection are published or edited by the faculty of the Department of Mathematical Sciences.
Faculty Research in Georgia Southern Commons
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Publishing Information
GS Commons is an open-access digital repository. Copyright and licensing agreements for works published by GS Commons protect the author's rights while facilitating the sharing of research. The works in this gallery were originally published or presented under agreements with entities external to this repository. Records for each work provide the access permitted by the original copyright and licensing agreement. For additional access or questions about a work, please contact the authors or email the GS Commons team.
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Mathematica By Example
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
6-15-2017
Mathematica by Example, Fifth Edition is an essential desk reference for the beginning Mathematica user, providing step-by-step 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. It is an ideal text for scientific students, researchers and aspiring programmers seeking further understanding of Mathematica.
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Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life (Vol. 2)
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
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 fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model ... Read more
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An Invitation to the Rogers–Ramanujan Identities
Andrew V. Sills, Georgia Southern University
10-12-2017
Book Summary: The Rogers--Ramanujan 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:
- The first book entirely devoted to the Rogers—Ramanujan identities.
- Prerequisites kept to a ... Read more
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Differential Equations with Mathematica
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
9-13-2016
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 built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation.
Because one goal of elementary differential equations courses is to ... Read more
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Introduction to Numerical Methods
Aniruddha Mitra, Georgia Southern University and Aditi Mitri, Georgia Southern University
7-29-2016
Book Summary: Written for sophomore-level 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 worked-out engineering-related problems that apply that theory, as well as relevant laboratory exercises.
Ideally suited to one-semester, three-credit, problem solving session-based 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, linear programming problems, and instruction in probability and statistics.
It should be noted that many ... Read more
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Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory: Celebrating Cora Sadosky's Life (Vol.1)
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
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 fully-refereed, high-quality 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 find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where ... Read more
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Introductory Differential Equations
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
2014
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 location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple ... Read more
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Instructor's Guide with Full Solutions
Patricia B. Humphrey, Georgia Southern University
2014
Book Summary:
Statistics in Practice is an exciting new addition to W.H. Freeman’s introductory statistics list. Co-authored 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 and beyond.
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Instructor's Guide with Full Solutions
Patricia B. Humphrey, Georgia Southern University
2014
Book Summary:
With this updated new edition, the market-leading 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, step-by-step pedagogy, and applications in a variety of professions and disciplines make it exceptionally engaging to students learning core statistical ideas.
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Student Solutions Manual
Patricia B. Humphrey, Georgia Southern University
2014
Book Summary:
Statistics in Practice is an exciting new addition to W.H. Freeman’s introductory statistics list. Co-authored 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 and beyond.
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Student Study Guide with Solutions Manual
Patricia B. Humphrey, Georgia Southern University
4-1-2014
Book Summary: This manual provides stepped-through solutions for all odd-numbered exercises in the text. Available electronically within LaunchPad, as well as in print form.
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Student Study Guide with Solutions Manual
Patricia B. Humphrey, Georgia Southern University
2014
Chapter Summary:
This manual provides stepped-through solutions for all odd-numbered exercises in the text. Available electronically within LaunchPad, as well as in print form.
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A Youtube Calculus Workbook (Part 2)
Frédéric D. Mynard, Georgia Southern University
1-1-2014
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 examples--even though fully step-by-step solutions are to be found in the videos-- and an index. The playlist and the book are divided into 16 thematic learning modules. Exercises, some with and some without solutions, and sample ... Read more
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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
1-1-2013
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 real-data problems to develop skills, giving you the practice you need to become an adept problem solver in your future courses and career.
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A Youtube Calculus Workbook (Part 1)
Frédéric D. Mynard, Georgia Southern University
1-1-2013
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 examples--even though fully step-by-step solutions are to be found in the videos-- and an index. The playlist and the book are divided into 15 thematic learning modules. At the end of each learning module, one or more quiz with full solutions is provided. ... Read more
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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
12-1-2012
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 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them.
This volume consists of invited expositions as well as research papers that address prospects of the recent significant ... Read more
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Minitab Manual with Solutions to Selected Problems (2nd Edition)
Patricia B. Humphrey, Georgia Southern University
1-1-2011
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TI Graphing Calculator Manual with Solutions to Selected Problems (2nd Edition-1)
Patricia B. Humphrey, Georgia Southern University
1-1-2011
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College Algebra in Context with Applications to the Managerial, Life, and Social Sciences (3rd. Ed.)
Ronald J. Harshbarger, University of South Carolina - Beaufort and Lisa S. Yocco, Georgia Southern University
1-1-2010
Book Summary: Harshbarger/Yocco’s College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, Third Edition uses modeling and real-data problems to develop the skills that students will need for their future courses and careers. Applications anticipate the math that students will encounter in their professional lives, giving them the practice they need to become adept problem-solvers. Every chapter begins with the Algebra Toolbox, which reviews the skills and concepts necessary to master the material ahead. This new full-color edition offers a greater number of technology tips, and the content has been reorganized to accommodate a wide range ... Read more
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Minitab Manual with Solutions to Selected Problems (3rd Edition)
Patricia B. Humphrey, Georgia Southern University
1-1-2010
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TI Graphing Calculator Manual with Solutions to Selected Problems (7th Edition)
Patricia B. Humphrey, Georgia Southern University
1-1-2010
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Introductory Differential Equations with Boundary Value Problems
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
1-1-2009
Book Summary: This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, Fourier Series and Boundary Value Problems. The text is appropriate for two semester courses: the first typically emphasizes ordinary differential equations and their applications while the second emphasizes special techniques (like Laplace transforms) and partial differential equations. The texts follows a traditional curriculum and takes the traditional (rather than dynamical systems) approach.
Introductory 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 ... Read more
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Mathematica By Example
Martha L. Abell, Georgia Southern University and James P. Braselton, Georgia Southern University
1-1-2009
Book Summary: Introduces users to new Mathematica features and applications in clear, understandable language.
