Skip to Main Content
It looks like you're using Internet Explorer 11 or older. This website works best with modern browsers such as the latest versions of Chrome, Firefox, Safari, and Edge. If you continue with this browser, you may see unexpected results.
מבנים אלגבריים : חבורות, חוגים ושדות by
Call Number: ONLINE and 20 De
ספר זה בונה בצורה שיטתית ומסודרת את יסודות האלגברה המודרנית, כהמשך לקורס ראשון באלגברה לינארית. הפרקים העיקריים של הספר עוסקים בתורת החבורות, תורת החוגים ותורת השדות (כולל תורת גלואה). משובצים בו תרגילים רבים, וכן מדגם שימושים במדעי המחשב.
Abstract Algebra by
Call Number: 20 Du
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding.
Linear Algebra Done Right by
Call Number: 22 Ax
This text for a second course in linear algebra is aimed at math majors and graduate students.
Linear Algebra by
Call Number: 22 Ho
This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems.
How Groups Grow by
Call Number: 23 Ma
Publication Date: 2011-12-15
Growth of groups is an innovative new branch of group theory. This is the first book to introduce the subject from scratch. It begins with basic definitions and culminates in the seminal results of Gromov and Grigorchuk and more. The proof of Gromov's theorem on groups of polynomial growth is given in full, with the theory of asymptotic cones developed on the way. Grigorchuk's first and general groups are described, as well as the proof that they have intermediate growth, with explicit bounds, and their relationship to automorphisms of regular trees and finite automata. Also discussed are generating functions, groups of polynomial growth of low degrees, infinitely generated groups of local polynomial growth, the relation of intermediate growth to amenability and residual finiteness, and conjugacy class growth. This book is valuable reading for researchers, from graduate students onward, working in contemporary group theory.
An Introduction to the Theory of Groups by
Call Number: 23 Ro 1995
Publication Date: 1999-08-13
Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS
Introduction to Commutative Algebra by
Call Number: 24 At
This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject.
Handbook of Categorical Algebra by
Call Number: ONLINE and 25.1 Bo
Publication Date: 1994-08-26
A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics.
מיון הנושאים 20-26
20 Algebra and Number theory
21 Elementary and classical algebra. Theory of invariants
22 Linear algebra. Matrix theory. Matrices determinants
23 Group theory and Group representations. Semigroups (See also: 44)
24 Commutative algebra. Ring theory and algebras. Local rings. Commutative rings. Lie algebras. Hopf algebras. Jordan algebras
25.1 Algebraic structures. Partially ordered sets. Lattices. Relations. Boolean rings and Boolean algebras. Categorical algebras
25.2 Homological algebra. Category theory. Algebraic K-theory
26 Field and Galois theory of equations