Numerical Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Numerical Analysis by L. Ridgway Scott, Princeton University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: L. Ridgway Scott ISBN: 9781400838967
Publisher: Princeton University Press Publication: April 18, 2011
Imprint: Princeton University Press Language: English
Author: L. Ridgway Scott
ISBN: 9781400838967
Publisher: Princeton University Press
Publication: April 18, 2011
Imprint: Princeton University Press
Language: English

Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.

Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases.

The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject.

  • Presents the mathematical foundations of numerical analysis
  • Explains the mathematical details behind simulation software
  • Introduces many advanced concepts in modern analysis
  • Self-contained and mathematically rigorous
  • Contains problems and solutions in each chapter
  • Excellent follow-up course to Principles of Mathematical Analysis by Rudin
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.

Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases.

The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject.

More books from Princeton University Press

Cover of the book Enigmas of Identity by L. Ridgway Scott
Cover of the book Evil in Modern Thought by L. Ridgway Scott
Cover of the book Mother of Mercy, Bane of the Jews by L. Ridgway Scott
Cover of the book The NSA Report by L. Ridgway Scott
Cover of the book Playing Gods by L. Ridgway Scott
Cover of the book Music as Thought by L. Ridgway Scott
Cover of the book Workers' Tales by L. Ridgway Scott
Cover of the book Prophets of the Past by L. Ridgway Scott
Cover of the book War Powers by L. Ridgway Scott
Cover of the book The Future of Fossil Fuels by L. Ridgway Scott
Cover of the book Statistical Mechanics in a Nutshell by L. Ridgway Scott
Cover of the book City of Dreams by L. Ridgway Scott
Cover of the book The War for Afghanistan: A Very Brief History by L. Ridgway Scott
Cover of the book Congress, the Press, and Political Accountability by L. Ridgway Scott
Cover of the book Birds of Australia by L. Ridgway Scott
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy