The book covers topics such as numerical analysis, scientific computing, and applications of numerical methods in various fields like physics, engineering, and finance. The book begins by discussing the historical development of numerical mathematics and its current state, highlighting the key milestones and breakthroughs that have shaped the field. It then delves into the fundamental concepts and techniques of numerical analysis, including numerical integration, differentiation, and solving ordinary and partial differential equations. The authors also examine the challenges and limitations of numerical methods and their potential applications in various domains. One of the standout features of this book is its focus on the interdisciplinary nature of numerical mathematics, showcasing how it intersects with other fields like machine learning, optimization, and data science. The authors emphasize the importance of understanding the underlying principles of numerical methods to effectively apply them in real-world scenarios. They also provide practical examples and case studies to illustrate the power and versatility of numerical mathematics in modern technology. Throughout the book, the authors maintain a balance between theory and practice, ensuring that readers gain a solid foundation in the subject matter while also being exposed to cutting-edge research and developments in the field. The text is written in an accessible and engaging style, making it suitable for both beginners and advanced learners.

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