Introduction to Numerical Mathematics: Theory, Practice and Numerous Examples - Brossura

Richter, Thomas; Von Wahl, Henry; Wick, Thomas

Brossura

ISBN 10: 3662725452 ISBN 13: 9783662725450

Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2026

Riassunto

This textbook presents the theoretical foundations of numerical mathematics in a modern, application-oriented, and comprehensive way. In addition to the standard content, it includes numerous examples and practical excursions to sustainably enhance understanding. Proofs are presented in a very detailed, step-by-step manner. The recurring core concepts of numerical mathematics like accuracy, efficiency, robustness and stability are explicitly addressed and clearly distinguished from one another. Specific example calculations for the described algorithms are carried out using provided Python codes. Numerical modeling for aspects of machine learning and neural networks are taken into consideration. Furthermore, numerical methods from linear algebra and analysis are presented separately, which significantly facilitates students’ access to numerical mathematics – based on the two main lectures within undergraduate studies in mathematics. Therefore, the book is ideally suited for students of mathematics, physics, computer science, or engineering.
 
This book is a translation of the original German 2nd edition of “Einführung in die Numerische Mathematik” (Springer, 2024). The translation was done with the help of artificial intelligence. A subsequent revision was performed by the authors to further refine the work and to ensure that the translation is appropriate concerning content and scientific correctness.

Su questo libro

Informazioni sull?autore

Thomas Richter is a professor for Numerical Mathematics at Otto von Guericke University Magdeburg. His research focuses on the numerical treatment of complex problems in fluid mechanics.

Henry von Wahl is a lecturer at Friedrich Schiller University Jena. His research focuses on numerical methods for partial differential equations using advanced finite element methods.

Thomas Wick is a professor for Scientific Computing at Leibniz University Hannover. His research focuses on the numerics of unsteady, nonlinear, coupled partial differential equations.

Dalla quarta di copertina

This textbook presents the theoretical foundations of numerical mathematics in a modern, application-oriented, and comprehensive way. In addition to the standard content, it includes numerous examples and practical excursions to sustainably enhance understanding. Proofs are presented in a very detailed, step-by-step manner. The recurring core concepts of numerical mathematics like accuracy, efficiency, robustness and stability are explicitly addressed and clearly distinguished from one another. Specific example calculations for the described algorithms are carried out using provided Python codes. Numerical modeling for aspects of machine learning and neural networks are taken into consideration. Furthermore, numerical methods from linear algebra and analysis are presented separately, which significantly facilitates students’ access to numerical mathematics – based on the two main lectures within undergraduate studies in mathematics. Therefore, the book is ideally suited for students of mathematics, physics, computer science, or engineering.
 
This book is a translation of the original German 2nd edition of “Einführung in die Numerische Mathematik” (Springer, 2024). The translation was done with the help of artificial intelligence. A subsequent revision was performed by the authors to further refine the work and to ensure that the translation is appropriate concerning content and scientific correctness.

The Authors

Thomas Richter is a professor for Numerical Mathematics at Otto von Guericke University Magdeburg. His research focuses on the numerical treatment of complex problems in fluid mechanics.

Henry von Wahl is a lecturer at Friedrich Schiller University Jena. His research focuses on numerical methods for partial differential equations using advanced finite element methods.

Thomas Wick is a professor for Scientific Computing at Leibniz University Hannover. His research focuses on the numerics of unsteady, nonlinear, coupled partial differential equations.

Dettagli dell'edizione

• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Data di pubblicazione: 2026
• Lingua: Inglese
• ISBN 10: 3662725452
• ISBN 13: 9783662725450
• Rilegatura: Copertina flessibile
• Numero di pagine: 549
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania