Computer Algebra in Scientific Computing: 11th International Workshop, CASC 2009, Kobe, Japan, September 13-17, 2009. Proceedings

Introduction

Welcome to the compendium of innovative research and developments presented at the 11th International Workshop on Computer Algebra in Scientific Computing (CASC 2009), held in Kobe, Japan. This book, crafted by authoritative figures in the domain, encapsulates the proceedings of the workshop, providing a detailed glimpse into the expansive world of computer algebra and its applications in scientific computations.

Detailed Summary of the Book

The book is a treasure trove of knowledge and practical insights into the world of computer algebra, encapsulating research presented during a pivotal workshop held in Kobe, Japan. Spanning numerous scientific disciplines, the proceedings explore the intersection of algebra, computation, and their applications in scientific fields. The workshop served as a platform for researchers to discuss advanced techniques, share breakthroughs, and explore modern applications of computer algebra systems that address complex computational problems. This collection covers a myriad of topics, including algorithm design, symbolic computation, differential and integral equations, and symbolic-numeric computation, offering readers both theoretical foundations and methodological advancements.

Key Takeaways

• Comprehensive coverage of the latest techniques and methods in computer algebra.
• Diverse range of applications, from theoretical computer science to practical implementations.
• Insight into the interdisciplinary nature of scientific computing and its relevant research collaborations.
• Pioneering discussions on algorithm efficiency, error reduction, and computational complexity.
• Valuable resource for both newcomers to the field and seasoned practitioners looking for the latest advancements.

Famous Quotes from the Book

“The border between symbolic and numeric computation is not a hard line but a frontier of exploration and discovery.”

“Computer algebra not only answers questions but poses them – pushing the boundaries of what is computationally achievable.”

Why This Book Matters

The importance of this book lies in its rich repository of knowledge that bridges theoretical computer science and practical scientific problems through the lens of computer algebra. It captures the dynamics of evolving scientific challenges and the innovative computational methods devised to address them. Computer algebra plays a crucial role in numerous domains, enhancing our understanding and capabilities in fields as varied as biology, physics, engineering, and pure mathematics.

By offering insights into state-of-the-art research and elaborating on the collaborative efforts among scientists, this book serves as both an educational resource and a springboard for further investigation and development. The discussions and findings documented in this proceedings' volume underscore the continued relevance and growing scope of computer algebra in addressing and solving today's scientific and computational challenges. As science and technology delve deeper into complex problem-solving, this book functions as a guide and an inspiration for future explorations in computer algebra and scientific computing.