Weber's three-volume set on algebra was for many years the standard text on algebra. Published at the end of the nineteenth century, it helped usher group theory to a central place in twentieth century mathematics. Volume 1 covers foundational material. Volume 2 covers group theory and its applications, plus the theory of algebraic numbers. Volume 3 covers advanced topics, such as algebraic functions, elliptic functions and class field theory. This second volume, in four parts, covers groups, linear groups, applications of group theory, and algebraic numbers. The first part, on groups, includes abelian groups, the group of a cyclotomic field, cubic and biquadratic fields and the study of general groups. The second part, on linear groups, looks at groups of linear substitutions, group invariants, polyhedral groups, and congruence groups. The third part, on applications of group theory, examines metacyclic equations and Galois groups, the inflection points of third-order curves, double-tangents of fourth-order curves, the general theory of fifth-order equations, and certain topics on equations of order seven. The fourth part begins the study of algebraic numbers (which is taken up again in the third volume). The topics here include the general theory of algebraic numbers and functions on an algebraic field, class numbers, cyclotomic fields, abelian extensions, resolvants, and transcendental numbers. Although notations have changed somewhat and algebra has become more abstract that it was in Weber's day, many of the same themes and ideas important today are central topics in Weber's book, which may be why it has become a classic.

Lehrbuch der Algebra, Volume II (German Edition)

Science & Math

Heinrich, Weber

Mathematics

American Mathematical Society

Weber's three-volume set on algebra was for many years the standard text on algebra. Published at the end of the nineteenth century, it helped usher group theory to a central place in twentieth century mathematics. Volume 1 covers foundational material. Volume 2 covers group theory and its applications, plus the theory of algebraic numbers. Volume 3 covers advanced topics, such as algebraic functions, elliptic functions and class field theory. Although notations have changed somewhat and algebra has become more abstract that it was in Weber's day, many of the same themes and ideas important today are central topics in Weber's book, which may be why it has become a classic.

Lehrbuch der Algebra, Volume III

Lehrbuch der Algebra, Volume I (Ams Chelsea Publishing) (German Edition)

<p>This book is the first English translation of the classic long paper Theorie der algebraischen Functionen einer Veränderlichen (Theory of algebraic functions of one variable), published by Dedekind and Weber in 1882. The translation has been enriched by a Translator's Introduction that includes historical background, and also by extensive commentary embedded in the translation itself. The translation, introduction, and commentary provide the first easy access to this important paper for a wide mathematical audience: students, historians of mathematics, and professional mathematicians. Why is the Dedekind-Weber paper important? In the 1850s, Riemann initiated a revolution in algebraic geometry by interpreting algebraic curves as surfaces covering the sphere. He obtained deep and striking results in pure algebra by intuitive arguments about surfaces and their topology. However, Riemann's arguments were not rigorous, and they remained in limbo until 1882, when Dedekind and Weber put them on a sound foundation. The key to this breakthrough was to develop the theory of algebraic functions in analogy with Dedekind's theory of algebraic numbers, where the concept of ideal plays a central role. By introducing such concepts into the theory of algebraic curves, Dedekind and Weber paved the way for modern algebraic geometry. This volume is one of an informal sequence of works within the History of Mathematics series. Volumes in this subset, "Sources", are classical mathematical works that served as cornerstones for modern mathematical thought. Co-published with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.</p>

Theory of Algebraic Functions of One Variable (History of Mathematics) (History of Mathematics, 39)

Richard Dedekind

Lehrbuch der Algebra (3 Volume Set)

Chelsea Pub. Co

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The Complete Guide to Non-Directional Trading

Business & Money

Wasendorf & Associates Inc

<p>As outspoken in his day as Richard Dawkins or Christopher Hitchens are today, American freethinker and author ROBERT GREEN INGERSOLL (1833-1899) was a notorious radical whose uncompromising views on religion and slavery (they were bad, in his opinion), women's suffrage (a good idea, he believed), and other contentious matters of his era made him a wildly popular orator and critic of 19th-century American culture and public life. As a speaker dedicated to expanding intellectual horizons and celebrating the value of skepticism, Ingersoll spoke frequently on such topics as atheism, freedom from the pressures of conformity, and the lives of philosophers who espoused such concepts. This collection of his most famous speeches includes the lectures: [ "The Gods" (1872) [ "Humboldt" (1869) [ "Thomas Paine" (1870) [ "Individuality" (1873) [ "Heretics and Heresies" (1874)</p>

Theorie der Abelschen Functionen vom Geschlecht von Heinrich Weber

History

BiblioLife

Theorie der Abelschen Functionen vom Geschlecht 3 / von Heinrich Weber

Complete Guide to Point and Figure Charting

Investing

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