Download or read book General Theory of Algebraic Equations written by Etienne Bézout and published by Princeton University Press. This book was released on 2009-01-10 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bézout's theorem," is stated as follows: "The degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns and with arbitrary degrees is equal to the product of the exponents of the degrees of these equations." The book offers large numbers of results and insights about conditions for polynomials to share a common factor, or to share a common root. It also provides a state-of-the-art analysis of the theories of integration and differentiation of functions in the late eighteenth century, as well as one of the first uses of determinants to solve systems of linear equations. Polynomial multiplier methods have become, today, one of the most promising approaches to solving complex systems of polynomial equations or inequalities, and this translation offers a valuable historic perspective on this active research field.

Download or read book A Solution to the Reaction Rate Equations in the Atmosphere Below 150 Kilometers written by Thomas J. Keneshea and published by . This book was released on 1963 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: One way to acquire a better understanding of the formation and destruction of ionization in the atmosphere is through the solution of the system of time-dependent reaction rate equations. These ordinary differential equations form a simultaneous set each question of which describes the time rate of change of a particular atmospheric constituent. In the general problem, all the molecules and atoms whether neutral, charged, or excited, as well as the free electrons would be included. A computer program is presented for developing the numerical solution to this problem. The method of solution of the set of equations uses a fourth order Runge Kutta integration with a variable mesh. When a species enters its quasi-equilibrium state, its differential equation is removed from the set and its equilibrium equation is inserted into the simultaneous algebraic set. The algebraic set is solved by the method of successive substitutions. The over-all solution is obtained by iteration between the differential and the algebraic sets. The ability of the computer program to develop extensive solutions is demonstrated by several examples taken under different conditions.

Download or read book The Portable Encyclop dia Or Dictionary of the Arts and Sciences on the Basis of Dr Gregory s Etc written by James Mitchell and published by . This book was released on 1826 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Elementary Treatise on the Theory of Equations with a Collection of Examples written by Isaac Todhunter and published by . This book was released on 1882 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ganit Mathematics 6 written by Lata Wishram and published by Vikas Publishing House. This book was released on with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: GANIT MATHEMATICS series consists of ten textbooks; two textbooks for Primer A and B, eight textbooks for classes 1-8. This series is strictly bases on the syllabus prescribed by the Council for the Indian School Certificate. The series has been developed to guide the young minds to observe and experience mathematics all around them. Each concept has been related to everyday life in order to develop a spirit of curiosity and discovery. Concepts are gradually built up with easy-to-follow steps and plenty of examples.

Download or read book Elementary Theory of Numbers written by W. Sierpinski and published by Elsevier. This book was released on 1988-02-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Download or read book Theory of Differential Equations written by Andrew Russell Forsyth and published by Cambridge University Press. This book was released on 2012-07-19 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth of six volumes in Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary linear equations.

Download or read book Theory of Differential Equations written by Andrew Russell Forsyth and published by . This book was released on 1902 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Chemical Process Engineering written by Harry Silla and published by CRC Press. This book was released on 2003-08-08 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illustrative reference presents a systematic approach to solving design problems by listing the needed equations, calculating degrees-of-freedom, developing calculation procedures to generate process specifications, and sizing equipment. Containing over thirty detailed examples of calculation procedures, the book tabulates numerous easy-to-follow calculation procedures as well as the relationships needed for sizing commonly used equipment. "Chemical Process Engineering" emphasizes the evaluation and selection of equipment by considering its mechanical design and encouraging the selection of standard-size equipment offered by manufacturers to lower costs.

Download or read book A Computer Program for Solving the Reaction Rate Equations in the E Ionospheric Region written by Thomas J. Keneshea and published by . This book was released on 1962 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In studies of the mechanisms responsible for the formation of the ionized regions of the atmos phere, one of the problems encountered is the solution of the set of differential equations describing the time dependence of the number density of the chemical species present. For simple cases where only one or two species are involved, there is no particular problem. When all the important constituents are included, however, the solution of these equations becomes very complex. A computer technique is pre sented that will solve any size set of these differential equations involving any number of chemical reactions. (Author).

Download or read book vol V VI Partial differential equations 1906 written by Andrew Russell Forsyth and published by . This book was released on 1902 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Library of Useful Knowledge written by and published by . This book was released on 1838 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Differential Equations vol V VI Partial differential equations 1906 written by Andrew Russell Forsyth and published by . This book was released on 1902 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elements of Trigonometry written by William Hopkins and published by . This book was released on 1833 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A treatise on algebraical geometry written by Samuel Wilkes WAUD and published by . This book was released on 1835 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Treatise on Algebraic Geometry written by Dionysius Lardner and published by . This book was released on 1831 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Portable Cyclop dia Or Compendious Dictionary of Arts and Sciences Including the Latest Discoveries written by C. T. Watkins and published by . This book was released on 1810 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt: