NUMERICAL METHODS - PIOTR KRZYŻANOWSKI

Discover the fascinating world of numerical methods with Piotr Krzyżanowski's textbook! This book is the key to understanding and practically applying modern computational algorithms. Ideal for students of science and engineering, as well as for engineers and scientists wishing to expand their knowledge.

• Modern approach to solving computational tasks
• Mathematical analysis of algorithm properties
• Preparation for the conscious use of standard methods
• Construction of new methods tailored to the specifics of the problem
• Richly illustrated with examples and diagrams
• Overview of functions in popular programming languages (MATLAB, Julia, Python)
• Over 400 tasks of varying difficulty

The textbook focuses on the algorithmic approach to solving basic computational tasks and the mathematical analysis of their properties. Its goal is to prepare the reader for the conscious use of currently used standard methods and, if necessary, to construct new ones tailored to the specifics of the problem being solved. In addition to classical topics, the lecture includes issues important, among others, in machine learning - nonlinear optimization methods, SVD decomposition of matrices and iterative methods for systems of linear equations.

The discussed content is richly illustrated with examples and diagrams. Each chapter ends with a brief overview of functions implementing the discussed algorithms in popular programming languages: MATLAB, Julia and Python, as well as a series of tasks of varying difficulty (there are over 400 in total, and approximately every fifth requires the use of a computer). Necessary knowledge of higher mathematics is cited in a convenient frame where it is used, and basic practical information about MATLAB, Julia and Python (NumPy and SciPy modules) is briefly discussed in a dedicated chapter.

Wydawnictwo Naukowe PWN is a renowned publisher that has been providing high-quality scientific and educational publications for years. Their books are characterized by reliability, timeliness and a high level of content. By choosing a PWN textbook, you can be sure that you are receiving a proven and valuable source of knowledge. This textbook is ideal for students of science and engineering: from mathematics, through computer science, machine learning and data science, to astronomy, chemistry, economics, physics and geology. It can also be useful for engineers and scientists who want to learn more about this fascinating branch of science and its practical applications.

The electronic version of the book has been prepared in color, which makes it easier to read and understand the presented content. The 233x170 mm format and paperback binding make the book convenient to use and easy to carry. Number of pages: 550.