Description | Table of Contents | Order Information |

Books |

The objective of this book is to simplify the process of learning such courses as discrete math, linear algebra, abstract algebra, and real analysis by explaining the following concepts: |

Closed-form Solutions |
Numerical-Method Solutions |

Unification |
Generalization |

Abstraction |
Axiomatic Systems |

Mathematical Proofs |
Understanding Definitions |

Identifying Similarities and Differences |
Translating Visual Images to Symbolic Form |

This undergraduate-level book is suitable as a text for a transition-to-advanced-math course, as a supplement to any course involving theoretical reasoning, or for self-guided reading. |

1. What's the Use of Mathematics |

1.1 Using Mathematics to Solve Specific Problems |

1.2 Unification |

1.3 Identifying Similarities and Differences |

1.4 Generalization |

1.5 Abstraction |

1.6 Mathematical Proofs |

2. Working with Mathematical Concepts |

2.1 Creating and Working with Images |

2.2 Creating Definitions |

2.3 Developing Axiomatic Systems |

3. Selected Topics in Discrete Mathematics |

4. Selected Topics in Linear Algebra |

5. Selected Topics in Abstract Algebra |

6. Selected Topics in Real Analysis |

Appendix A: Summary of Proof Techniques |

Solutions to Odd-Numbered Exercise |

Title: |
The Keys to Advanced Mathematics |

Edition/Year: |
First Edition, 1995 |

Author: |
Daniel Solow |

ISBN #: |
0-9644519-0-5 |

Publisher: |
Books Unlimited, Inc. |

Distributor: |
BookMasters, Inc. |

30 Amber Pkwy | |

PO Box 388 | |

Ashland, OH 44805 | |

Phone: (800) 247-6553 | |

Fax: (419) 247-6553 | |

e-mail: info@bookmaster.com | |

URL: www.bookmasters.com |