Guides: MTH 4990 Senior Capstone in the Mathematical Sciences: Find Research

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Mathematics Databases

JSTOR This link opens in a new window
Subjects: applied behavior analysis, biology, biotechnology, chemistry, english, environmental science, mathematics, sustainability, theater
Content: journals, primary sources, books
Dates of publication: 1923 - present
Academic Search Complete This link opens in a new window
Academic Search Complete is a scholarly, multi-disciplinary database providing information on a wide range of subjects. It contains full-text access to peer-reviewed journals, magazines, monographs, reports, and conference proceedings as well as indexing and abstracts for thousands of publications.
Subjects: multidisciplinary
Content: journals, magazines, newspapers, books
Publication dates: 1887 - present
Education Database This link opens in a new window
Education Database contains thousands of full-text journals, dissertations and other relevant sources and supports the study and application of education research across all levels of education, including early childhood education, primary and secondary education, and higher education.
Subjects: elementary education, physical education, secondary education, special education, bilingual-ESL, curriculum and instruction, Ed.D., educational leadership, educational technology, mathematics education, reading instruction
Content:: journals, magazines, newspapers, books, conference papers and proceedings, dissertations and theses, government publications, reports, working papers
Publication dates: 1988 - present

Books

Advanced Mathematics by Stanley J. Farlow Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory  Most universities require students majoring in mathematics to take a "transition to higher math" course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a "crash course" in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated" advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors  Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math. 
ISBN: 1119563518
Publication Date: 2019-10-08
Encyclopedia of Mathematics Research by Joshua D. Mathias; Sophia I. Cleaves This book discusses current research developments in the field of mathematics. Topics presented include exceptional groups, symmetric spaces and applications; LIE group analysis; graph groupoids and corresponding representations; fuzzy logic in molecular computing; closed-loop optimal fuzzy reasoning; nozzle design optimisation; a branch-and-price algorithm for the stochastic generalised assignment problem; parametric dual regularisation in a linear-convex mathematical programming and fast multilevel algorithms for diverse application in computational biology and bioinformatics.
ISBN: 9781613242285
Publication Date: 2012-05-01
The Princeton Companion to Mathematics by Timothy Gowers (Editor); June Barrow-Green (Editor); Imre Leader (Editor); June Barrow-Green (Editor) This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties. Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors Presents major ideas and branches of pure mathematics in a clear, accessible style Defines and explains important mathematical concepts, methods, theorems, and open problems Introduces the language of mathematics and the goals of mathematical research Covers number theory, algebra, analysis, geometry, logic, probability, and more Traces the history and development of modern mathematics Profiles more than ninety-five mathematicians who influenced those working today Explores the influence of mathematics on other disciplines Includes bibliographies, cross-references, and a comprehensive index Contributors incude: Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger
ISBN: 9781400830398
Publication Date: 2010-07-18

Spartan Search

Did you know there's a way to search across all of the library's databases?

Spartan Search is the search box on the library's home page. When you click the magnifying glass search icon, a full search screen will open, giving you the option to use the advanced search and filter your results.

Learn more about choosing where to search.

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Search Tips

Keywords

Identify keywords for your topic and brainstorm narrower, broader, and related terms.

Example: Factors that affect academic performance in first-generation college students.

Academic Performance	College	First-Generation Students
Student Success	Higher Education	Children of Immigrants
Student Achievement	University	Minority Students
Learning Outcomes	Community College	Nontraditional Students

Boolean Operators

Typing the Boolean Operators AND, OR, and NOT into the library catalog or databases allow you to broaden or narrow your results.

Found too many results?

Add more keywords.

Adding additional keywords to your search can help to further narrow your topic.

Example: college AND first-generation students AND academic performance

Found too few results?

Use OR.

Broaden your search by using OR to link your terms.

Example: (college OR higher education OR university) AND first-generation students AND (academic performance OR student success)

Citation Chasing

Citation Chasing and "Cited By" Searching

Once you find a good article:

Look at its References and find other articles that have cited it
In Spartan Search, click the red arrows next to the article's title to find the article's References (the downward-facing arrow), and articles that have cited this title (the upward-facing arrow)