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Advanced Numerical Methods and Mathematical Modeling: Comprehensive Techniques in Matrix Algebra, Interpolation, Iterative Methods, Optimization, and by Alec Stovari

Advanced Numerical Methods and Mathematical Modeling: Comprehensive Techniques in Matrix Algebra, Interpolation, Iterative Methods, Optimization, and

by Alec Stovari
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Book cover type: Paperback
  • ISBN13: 9798308298670
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Publication Date:
  • Pages: 180
  • Original Price: GBP 48.53
  • Language: English
  • Edition: N/A
  • Item Weight: 250 grams
  • BISAC Subject(s): Artificial Intelligence / Computer Vision & Pattern Recognition

Unlock the full potential of computational mathematics with Advanced Numerical Methods and Mathematical Modeling, an indispensable reference for students, researchers, and professionals alike. This book meticulously covers a vast array of critical topics in numerical analysis, offering profound insights and expert-level techniques.

From foundational concepts in Matrix Algebra and Numerical Methods to cutting-edge approaches in Optimization and Numerical Integration, this comprehensive volume is designed to equip readers with a solid understanding of both theory and practical applications. It delves into topics such as Gaussian Elimination, Matrix Decompositions, Least Squares Methods, and Iterative Solving of Linear Systems, while also offering a detailed examination of interpolation techniques, from polynomial to spline methods.

Incorporating an in-depth exploration of iterative methods for solving nonlinear equations, the book also provides valuable guidance on methods such as Newton's Method, Secant Method, and Quasi-Newton Methods, ensuring a complete toolkit for tackling complex mathematical challenges. The book extends into the realm of optimization, covering algorithms like Nelder-Mead, Gradient Descent, and Conjugate Gradient, essential for solving real-world optimization problems.

Moreover, the text addresses the numerical solution of differential equations, presenting both basic and advanced techniques for solving ordinary and partial differential equations, making it a crucial guide for those working in engineering, physics, finance, and applied sciences.

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