Computational Mathematics with SageMath is an essential resource for anyone interested in exploring the world of computational mathematics using the powerful open-source software, SageMath. This book is written by experienced mathematicians and computer scientists who have used SageMath extensively in their research and teaching.
The book starts with an introduction to SageMath and its capabilities, followed by a comprehensive overview of the mathematical concepts that are commonly used in computational mathematics. The authors have structured the book in a way that is easy to follow, with each chapter building upon the previous one, providing a solid foundation for the reader to work from.
One of the key features of SageMath is its ability to handle a wide range of mathematical problems, from calculus and linear algebra to abstract algebra and number theory. The authors have included numerous examples and exercises throughout the book to illustrate the various techniques and concepts, ensuring that readers have a clear understanding of how to apply SageMath to solve real-world mathematical problems.
The book also covers advanced topics in computational mathematics, such as numerical methods for solving differential equations, optimization algorithms, and machine learning techniques. The authors have included detailed explanations of these topics, along with examples and exercises, to help readers develop a deep understanding of how to use SageMath to solve complex problems.
In addition to the mathematical content, the book also provides an introduction to computer programming using SageMath. The authors have included a chapter on programming basics, as well as numerous examples throughout the book that demonstrate how to use SageMath to write programs that solve mathematical problems.
Overall, Computational Mathematics with SageMath is an invaluable resource for anyone looking to explore the world of computational mathematics using an open-source software. The book provides a comprehensive overview of the mathematical concepts and techniques that are commonly used in computational mathematics, along with detailed explanations of how to use SageMath to solve real-world problems. Whether you are a student, researcher, or professional, this book will provide you with the tools you need to excel in the field of computational mathematics.