### Books, Software, Apps

A list of books, journals, computer software, and apps divided by category is provided below. Please **contact us** if there are links we should add to these lists.

#### Problem Solving

**Topology and the Language of Mathematics**by Chris Cunliffe**The Art of Problem Solving**by Sandor Lehoczky and Richard Rusczyk**How to Solve It**by G. Polya**The Art and Craft of Problem Solving**by Paul Zeitz

Problem solving text by a past coach of the United States IMO team**Geometry Revisited**by H. Coxeter and S. Greitzer

The best book for advanced geometry problem solvers.**Thinking Mathematics!**

A book set with both interesting problems and activites

#### Problem Sets

**The USSR Olympiad Problem Book**by N. Chentzov, et al.

Excellent practice for advanced competitions such as the USAMO and IMO. Problems cover non-geometric topics such as number theory, inequalities, complex numbers, and more.**USA and International Mathematical Olympiads**by T. Andreescu & Z. Feng

Problems and solutions from the USAMO & IMO. Written by two coaches of the United States IMO team.**The Mandelbrot Competition First Five Years**by S. Vandervelde

An excellent introduction to mathematical writing for beginning and intermediate problem solvers; contains the Team Tests from the first five years of the Mandelbrot Competition (go to Resources page at the site to learn how to purchase these past tests).**Challenging Problems in Geometry**by A. Posamentier, C. Salkind**Mathematical Olympiads 1998-1999, Problems and Solutions from Around the World**by T. Andreescu & Z. Feng

Problems (some with solutions, some without) from 30 national and regional Olympiads from around the world.**USA Mathematical Olympiads 1972-1986 Problems and Solutions**by M. Klamkin**The Canadian Mathematical Olympiad**

Problems from the Canadian Olympiad from 1969-1993.**Mathematical Olympiad Challenges**by T. Andreescu, R. Gelca, M. Saul

Advanced problems from the coach of the United States IMO team and a producer of ARML.**The Mathematical Olympiad Handbook**by A. Gardiner

Over 300 problems presented with solutions from the British Mathematics Olympiad.**More Mathematical Challenges: Problems for the UK Junior Mathematical Olympiad**by A. Gardiner, T. Gardiner.

#### Explorations in Mathematics

**What is Mathematics?**by R.Courant, H. Robbins, I. Stewart

An excellent resource for advanced problem solvers, as well as for students looking for a new subject to explore. Includes many advanced topics and mathematical techniques.**Godel, Escher, Bach**by Douglas Hofstadter

This Pulitzer Prize winner has inspired many high school students to pursue a career in the maths and sciences.**Godel's Proof**by Ernest Nagel and James R. Newman

This provides an interesting and palatable view into the world of paradoxes and inconsistency.**Godel, Escher, Bach: An Eternal Golden Braid**by Douglas R. Hofstadter

This ties together a famous mathematician, artist, and musician while exploring many profound mathematical concepts.**Journey into Geometries**by Marta Sved

A journey through geometrical topics, including projection, inversion, and non-Euclidean gemoetries.**Problems for Mathematicians, Young and Old**by Paul Halmos

Challening problems for budding problem-solvers and starting points for projects in new subjects.**Mathematical Tourist**by I. Peterson

Studies in number theory, chaos, topology, higher dimensions, and more.**Archimedes' Revenge**by Paul Hoffman

Entertaining journey into the world of numbers, shapes, codes, and probabilities.**Mathematical Carnival**by Martin Gardner

Collection of puzzles and explorations.**In Code: A mathematical journey**by Sarah Flannery

A biography of a woman enthusiastically involved in cryptography, computer science, and math in general. A captivating and inspiring book.

#### Math History

**The Code Book**by Simon Singh

History of cryptography from ancient Egypt through quantum cryptography.**The Man Who Loved Only Numbers**by Paul Hoffman

Biography of prolific mathematician Paul Erdos, as well as a handful of problems and some history of number theory.**Fermat's Enigma**by Simon Singh

History of Fermat's Last Theorem, including much of the history of number theory.**Crypto**by Steven Levy

Recent history about the battles over cryptography in the private sector and government.**Journey Through Genius**by William Dunham

A walk through math history via some landbreaking proofs.**History of Mathematics**by Boyer

An excellent resource and cited by many other credible math history books.**The Nothing That Is: A Natural History of Zero**by Robert Kaplan**The Golden Ratio: The story of phi, the world's most astonishing number**by Mario Livio

#### Miscellaneous Books

**Mathematician's Apology**by G. H. Hardy

Touching auto-biographical account of the life a renowned mathematician. More than mere history,

it vividly portrays the psychology of a brilliant man as his mathematical powers are fading.**Flatland**by E. Abbot

Entertaining fiction about life in two dimensions which doubles as a social satire about Victorian England.**Flatterland**by I. Stewart

Inspired by the classic Flatland, this book introduces modern mathematical topics in a similar way.**Innumeracy**by John Allen Paulos

Entertaining, and a bit frightening, tales of mathematical illiteracy.**Proofs Without Words**and**Proofs Without Words, Vol 2**by R. Nelsen

Engaging visual proofs of mathematical theorems and relationships.**Mathematical Cranks**by Underwood Dudley

Amusing stories about amateur mathematicians.

#### Journals

**Imagine**

Periodical for gifted students produced by John's Hopkins University's Center for Talented Youth.**Mathematics & Informatics Quarterly**

Problem solving approaches, problems, and informatics information for high school students.**Crux Mathematicorum with Mathematical Mayhem**

Canadian Mathematical Society's Journal for undergraduate and high school students.

#### Software

**MathType**

Easy-to-use software for producing mathematics notation for documents and the internet. Much of the math you'll find on this site was produced with MathType. li>**The Geometer's Sketchpad**

A dynamic construction and exploration tool for investigating geometry. Most of the geometry diagrams you'll find on this site are produced with the Geometer's Sketchpad.**Education Program for Gifted Youth**

Through EPGY, students have access to multimedia courses in a variety of subjects at levels ranging from kindergarten through advanced-undergraduate.**Maplesoft**

Students across the world rely on Maplesoft products to help with homework and to complete assignments.

#### Apps

**NCTM Illuminations Activities**- iPad Apps:
**Minds of Math**- by IBM, chronological view of math as seen through biographies of some great mathematicians from 1100 to 1950.**Science 360**- by NSF, science and math topics**Data Finder 3.0**- statistics by country, topic or indicators; updated frequently by World Bank**Math**- prealgebra, algebra 1, geometry lessons**IMathematics!**- a math dictionary