Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra.
Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-BAcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

Dea Donahue has been able to travel through people's dreams since she was six years old. Her mother taught her the three rules of walking: Never interfere. Never be seen. Never walk the same person's dream more than once. Dea has never questioned her mother, not about the rules, not about the clocks or the mirrors, not about moving from place to place to be one step ahead of the unseen monsters that Dea's mother is certain are right behind them. Then a mysterious new boy, Connor, comes to town and Dea finally starts to feel normal. As Connor breaks down the walls that she's had up for so long, he gets closer to learning her secret. For the first time she wonders if that's so bad. But when Dea breaks the rules, the boundary between worlds begins to deteriorate. How can she know what's real and what's not?

From his youth in the remote mountains of Tennessee on the northern border of the Cumberland Plateau to his career and retirement in upstate South Carolina, Dr. Anderson's memoir takes us on an awesome journey from his earliest memories and humble beginnings to a fulfilled life achieved by his commitment to his faith and the "pursuit of excellence" in everything he does. He entices the reader with his jewels of wisdom, beliefs and blessings as he weaves his way through the adversities and divine detours of a rewarding life, championed by a compassionate and tolerant wife and influenced by a number of supportive and inspiring mentors along the way. From the beginning he charges boldly into the issues of circumstances, choices, interdependence, uniqueness and diversity and leads us on an inspiring trip through social and spiritual maturity into the resulting faith, hope and dreams of a disciplined and reflective life. Robert Anderson grew up in the mountains of Tennessee on the remote northern edge of the Cumberland Plateau. Orphaned at an early age, he worked his way through high school and the University of Tennessee where he received a B.S. in Engineering Physics and an M.A. and PhD in Applied Mathematics. In addition to several years in academia, teaching at U. T., The College of William and Mary and The University of S. C. at Spartanburg, he spent over three decades in Operations Research and Marketing Research at Milliken Research Center in Spartanburg, SC. He has been fulfilled with an exciting career in academia and industry, blessed with a marvelous wife and family, richly inspired by his involvement in the Lay Ministry of the United Methodist Church, and sustained through life's valleys by his faith and determination.