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Foundations of Higher Mathematics

Mathematical Sciences Librarian

Science Education Specialist

- Khan Academy: Understanding Logical Statements 1
- Khan Academy: Understanding Logical Statements 2
- Khan Academy: Understanding Logical Statements 3
- Khan Academy: Understanding Logical Statements 4

- Khan Academy: Proof that square root of 2 is irrational
- Khan Academy: Proof of quadratic formula
- Khan Academy: Proof: Sum of measures of angles in a triangle are 180
- Khan Academy: Proof that rational times irrational is irrational
- Khan Academy: Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)

- Khan Academy: Proof by induction
- Khan Academy: Alternate proof by induction for integer sum

- Khan Academy: Surjective (onto) and injective (one-to-one) functions

- OSU Library CatalogSearch for books and other items available at OSU - includes ebooks
- OhioLINK CatalogSearch for books statewide.

- Electronic Book Center (OhioLINK) [Full Text] This link opens in a new windowElectronic Book Center included ebooks on all subjects, including many encyclopedias, handbooks, biographical collections, and guides.

The OSU Library Catalog has subject headings. If you had found a good book on your topic, examine the subject headings for that book below the location/call number box. You can click on these to see other items with that subject ot you can search subject directly as follows.

Examples:

"History" is a subdivision of a subject that can be added after any other term. Examples: Format: branch--history. Clickable examples:

For mathematics history in a country, region, use for format mathematics--country/region--history Examples:

**MathSciNet **is the major database to find content in the mathematics and statistics literature.

**MathSciNet has been Redesigned!**

This redesign has ,ade significant changes to the way you search MathSciNet. The following tutorials will walk you through these changes:

- MathSciNet: Basic Search
- MathSciNet: Using Field Codes
- MathSciNet: Using Filters
- MathSciNet: Citing
- Example: Using MathSciNet's Updated Features to Explore Arithmetic Progressions

You can still use the previous interface, see the *Show Classic Interface* link above the magnifying glass search button, to the upper right of the search box.

Citation databases allow you to see for each article the items it cited and also the items that have cited it. If you find a great article, use these databases to move both back and forward in time from that article.

- Scopus This link opens in a new windowCitation searching across most disciplines. Contains most of the content from Compendex (engineering and computer science) and GEOBASE (geography).
- Web of Science Core Collection This link opens in a new windowArticles from all disciplines, back to 1900 (1975 for arts/humanities).

- Computers and Applied Sciences Complete [Selected Articles in Full Text] This link opens in a new windowSearches articles in multiple applied science areas

- JSTOR [Selected Articles in Full Text] This link opens in a new windowA collection of major journals in multiple disciplines. Most titles limited to contest older than 3-5 years.
- Academic Search Complete [Selected Articles in Full Text] This link opens in a new windowA general database covering multiple areas

*Google Scholar covers a wide range of topics.*

* Use the above link to you can make sure Google Scholar works best for you on or off campus.* In order to better use it, connect it to OSU by going to

You'll see some important buttons while using the OSU Libraries resouces. Especially important are these 4:

Where: OSU Library Catalog.

What: Have an item sent to another location for pickup or recall an item checked out.

Where: OSU Library Catalog.

What: Check for access of an individual item via OhioLINK - such as an item checked out at OSU. Also repeats searches in the OHioLINK catalog to see additional options for your need.

Where: OhioLINK Catalog

What: Click to have an item delivered to OSU from an OhioLINK library.

Where: Library Databases

What: Check for online access to journal articles, conference papers, and more. Also gives interlibrary loan option if item is not available online.

- Choosing & Usng SourcesTutorials on finding and using info.
- Article Express / Interlibrary LoanRequest articles, conference papers, and even books (check OhioLINK first) when unavailable at OSU. Request scans of print-only journal articles available at OSU.