Discovering Mathematics: A Problem-Solving Approach to Mathematical Analysis with MATHEMATICA® and Maple™

✍ Scribed by Jiří Gregor, Jaroslav Tišer (auth.)

• Publisher: Springer-Verlag London
• Year: 2011
• Tongue: English
• Leaves: 260
• Edition: 1
• Category: Library

✦ Synopsis

Discovering Mathematics: A Problem-Solving Approach to Analysis with Mathematica and Maple provides a constructive approach to mathematical discovery through innovative use of software technology. Interactive Mathematica and Maple notebooks are integral to this books’ utility as a practical tool for learning. Interrelated concepts, definitions and theorems are connected through hyperlinks, guiding the reader to a variety of structured problems and highlighting multiple avenues of mathematical reasoning.

Interactivity is further enhanced through the delivery of online content (available at extras.springer.com), demonstrating the use of software and in turn increasing the scope of learning for both students and teachers and contributing to a deeper mathematical understanding.

This book will appeal to both final year undergraduate and post-graduate students wishing to supplement a mathematics course or module in mathematical problem-solving and analysis. It will also be of use as complementary reading for students of engineering or science, and those in self-study.

✦ Table of Contents

Front Matter....Pages I-VII
Introduction....Pages 1-8
Front Matter....Pages 9-9
Mappings, Composite and Inverse Functions....Pages 11-29
Infinite Sequences....Pages 31-56
Periodicity....Pages 57-71
Front Matter....Pages 73-73
Finite Sums....Pages 75-93
Inequalities....Pages 95-111
Collocation and Least Squares Methods....Pages 113-128
Front Matter....Pages 129-129
Maximal and Minimal Values....Pages 131-142
Arcs and Curves....Pages 143-162
Center of Mass and Moments....Pages 163-176
Miscellaneous....Pages 177-186
Front Matter....Pages 187-187
Answers to Problems....Pages 189-241
Back Matter....Pages 243-247

✦ Subjects

Analysis