The Theory Of Equations
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| Author | : William Snow Burnside |
| Publisher | : Legare Street Press |
| Total Pages | : 0 |
| Release | : 2022-10-27 |
| Genre | : |
| ISBN | : 9781016033718 |
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
| Author | : Leonard Eugene Dickson |
| Publisher | : |
| Total Pages | : 200 |
| Release | : 1914 |
| Genre | : Equations, Theory of |
| ISBN | : |
| Author | : Nelson Bush Conkwright |
| Publisher | : |
| Total Pages | : 236 |
| Release | : 1957 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Jiri Herman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 353 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461212707 |
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.
| Author | : James Victor Uspensky |
| Publisher | : Tata McGraw-Hill Education |
| Total Pages | : 376 |
| Release | : 1948 |
| Genre | : Equations, Theory of |
| ISBN | : |
Complex numbers; Polynomials in one variable; Algebraic equations; Limits of roots; Rational roots; Cubic and biquadratic equations; Theorem; Determinants and matrices; Fundamental theorem of algebra.
| Author | : Edgar Dehn |
| Publisher | : Courier Corporation |
| Total Pages | : 225 |
| Release | : 2012-09-05 |
| Genre | : Mathematics |
| ISBN | : 0486155102 |
Focusing on basics of algebraic theory, this text presents detailed explanations of integral functions, permutations, and groups as well as Lagrange and Galois theory. Many numerical examples with complete solutions. 1930 edition.
| Author | : Juha Heinonen |
| Publisher | : Courier Dover Publications |
| Total Pages | : 417 |
| Release | : 2018-05-16 |
| Genre | : Mathematics |
| ISBN | : 0486830462 |
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
| Author | : Etienne Bézout |
| Publisher | : Princeton University Press |
| Total Pages | : 363 |
| Release | : 2009-01-10 |
| Genre | : Mathematics |
| ISBN | : 1400826969 |
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.
| Author | : Nelson Bush Conkwright |
| Publisher | : |
| Total Pages | : 234 |
| Release | : 1957 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : R Mickens |
| Publisher | : CRC Press |
| Total Pages | : 470 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780442001360 |
In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.
