A History of Abstract Algebra by Israel Kleiner

By Israel Kleiner

sooner than the 19th century, algebra intended the learn of the answer of polynomial equations. via the 20 th century it got here to surround the examine of summary, axiomatic structures corresponding to teams, jewelry, and fields. This presentation offers an account of the heritage of the fundamental suggestions, effects, and theories of summary algebra.
The improvement of summary algebra used to be propelled via the necessity for brand spanking new instruments to deal with sure classical difficulties that seemed unsolvable by means of classical capability. a huge subject of the technique during this booklet is to teach how summary algebra has arisen in makes an attempt to resolve a few of these classical difficulties, delivering a context from which the reader could achieve a deeper appreciation of the math involved.
Mathematics teachers, algebraists, and historians of technology will locate the paintings a priceless reference. The e-book can also function a supplemental textual content for classes in summary algebra or the historical past of mathematics.

Show description

Read Online or Download A History of Abstract Algebra PDF

Similar group theory books

Operator Algebras: Theory of C*-Algebras and von Neumann Algebras: 122 (Encyclopaedia of Mathematical Sciences)

This publication bargains a accomplished creation to the final thought of C*-algebras and von Neumann algebras. starting with the fundamentals, the speculation is built via such issues as tensor items, nuclearity and exactness, crossed items, K-theory, and quasidiagonality. The presentation conscientiously and accurately explains the most good points of every a part of the idea of operator algebras; most vital arguments are not less than defined and lots of are offered in complete aspect.

Symmetries and Groups in Contemporary Physics (Nankai Series in Pure, Applied Mathematics and Theoretical Physics)

This quantity makes a speciality of advancements within the box of team thought in its broadest feel and is of curiosity to theoretical and experimental physicists, mathematicians, and scientists in similar disciplines who're attracted to the newest equipment and functions. In an more and more ultra-specialized global, this quantity will display the interchange of rules and strategies in theoretical and mathematical physics.

Basic Algebraic Topology and its Applications

This booklet presents an available advent to algebraic topology, a field on the intersection of topology, geometry and algebra, including its purposes. in addition, it covers a number of similar subject matters which are in reality vital within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the booklet integrates a number of recommendations of algebraic topology, supported by means of examples, workouts, functions and historic notes.

Finite and Profinite Quantum Systems (Quantum Science and Technology)

This monograph presents an advent to finite quantum structures, a box on the interface among quantum info and quantity thought, with purposes in quantum computation and condensed topic physics. the 1st significant a part of this monograph stories the so-called `qubits' and `qudits', platforms with periodic finite lattice as place house.

Additional resources for A History of Abstract Algebra

Example text

Download PDF sample

Rated 4.10 of 5 – based on 7 votes