Principles Of Numerical Analysis PDF Download
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Author | : Alston S. Householder |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2006-01-01 |
Genre | : Mathematics |
ISBN | : 048645312X |
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Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A final section provides 54 problems, subdivided according to chapter. 1953 edition.
Author | : Ferenc Szidarovszky |
Publisher | : Springer |
Total Pages | : 352 |
Release | : 1978 |
Genre | : Mathematics |
ISBN | : |
Download Principles and Procedures of Numerical Analysis Book in PDF, ePub and Kindle
Approximation and interpolation of functions; Numerical differentiation and integration; General theory for iteration methods; Solution of nonlinear equations; The solution of simultaneous linear equations; The solution of matrix eigenvalue problems; The numerical solution of ordinary differential equations; The numerical solution of partial differential equations.
Author | : Larkin Ridgway Scott |
Publisher | : Princeton University Press |
Total Pages | : 342 |
Release | : 2011-04-18 |
Genre | : Mathematics |
ISBN | : 1400838967 |
Download Numerical Analysis Book in PDF, ePub and Kindle
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
Author | : |
Publisher | : |
Total Pages | : 274 |
Release | : 1953 |
Genre | : |
ISBN | : |
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Author | : Victor S. Ryaben'kii |
Publisher | : CRC Press |
Total Pages | : 564 |
Release | : 2006-11-02 |
Genre | : Mathematics |
ISBN | : 1000738280 |
Download A Theoretical Introduction to Numerical Analysis Book in PDF, ePub and Kindle
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An access
Author | : David Ronald Kincaid |
Publisher | : American Mathematical Soc. |
Total Pages | : 810 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821847880 |
Download Numerical Analysis Book in PDF, ePub and Kindle
This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Author | : BURTON WENDROFF |
Publisher | : |
Total Pages | : 142 |
Release | : 1969 |
Genre | : |
ISBN | : |
Download FIRST PRINCIPLES OF NUMERICAL ANALYSIS: AN UNDERGRADUATE TEXT. Book in PDF, ePub and Kindle
Author | : Ferenc Szidarovszky |
Publisher | : Springer |
Total Pages | : 338 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1489927506 |
Download Principles and Procedures of Numerical Analysis Book in PDF, ePub and Kindle
It is an incontestable fact that numerical analysis techniques are used rou tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.
Author | : Alston Scott Householder |
Publisher | : |
Total Pages | : 274 |
Release | : 1963 |
Genre | : |
ISBN | : |
Download Principles of Numerical Analysis Book in PDF, ePub and Kindle
Author | : Ferenc Szidarovszky |
Publisher | : |
Total Pages | : 346 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9781489927514 |
Download Principles and Procedures of Numerical Analysis Book in PDF, ePub and Kindle