E-Book, Englisch, 404 Seiten
Reihe: Princeton Legacy Library
Milne Numerical Calculus
Erscheinungsjahr 2016
ISBN: 978-1-4008-7590-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 404 Seiten
Reihe: Princeton Legacy Library
ISBN: 978-1-4008-7590-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
The calculus of finite differences is here treated thoroughly and clearly by one of the leading American experts in the field of numerical analysis and computation. The theory is carefully developed and applied to illustrative examples, and each chapter is followed by a set of helpful exercises. The book is especially designed for the use of actuarial students, statisticians, applied mathematicians, and any scientists forced to seek numerical solutions. It presupposes only a knowledge of algebra, analytic geometry, trigonometry, and elementary calculus. The object is definitely practical, for while numerical calculus is based on the concepts of pure mathematics, it is recognized that the worker must produce a numerical result.
Originally published in 1949.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Autoren/Hrsg.
Weitere Infos & Material
Frontmatter, pg. i
PREFACE, pg. v
CONTENTS, pg. vii
Chapter I. SIMULTANEOUS LINEAR EQUATIONS, pg. 1
Chapter II. SOLUTION OP EQUATIONS BY SUCCESSIVE APPROXIMATIONS, pg. 36
Chapter III. INTERPOLATION, pg. 63
Chapter IV. NUMERICAL DIFFERENTIATION AND INTEGRATION, pg. 93
Chapter V. NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS, pg. 131
Chapter VI. FINITE DIFFERENCES, pg. 145
Chapter VII. DIVIDED DIFFERENCES, pg. 201
Chapter VIII. RECIPROCAL DIFFERENCES, pg. 219
Chapter IX. POLYNOMIAL APPROXIMATION BY LEAST SQUARES, pg. 242
Chapter X. OTHER APPROXIMATIONS BY LEAST SQUARES, pg. 291
CHAPTER XI. SIMPLE DIFFERENCE EQUATIONS, pg. 324
APPENDIX A. NOTATION AND SYMBOLS, pg. 351
APPENDIX B. TEXTS, TABLES, AND BIBLIOGRAPHIES, pg. 353
APPENDIX C. CLASSIFIED GUIDE TO FORMULAS AND METHODS, pg. 359
TABLES, pg. 363
INDEX, pg. 385
