Groups and group theory

Gullibility, whether we like it or not, is a fundamental characteristic of human beings.

Symmetry is a key ingredient in many mathematical, physical, and biological theories.

"e;Mirrors and Reflections"e; presents a systematic and elementary introduction to the properties of finite groups generated by reflections.

This is a textbook on Galois theory.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This text started out as a revised version of Buildings by the second-named author [53], but it has grown into a much more voluminous book.

This second edition presents up-to-date material on the theory of weak convergance of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices.

This book is a monograph on unitals embedded in ?

In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates.

After a few initial chapters on the basics of Mathematica, the logic of the book is controlled by group theory.

About the first edition: The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules.

With wide-ranging connections to fields from theoretical physics to computer science, Hopf algebras offer students a glimpse at the applications of abstract mathematics.

Braids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades.

Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

For over forty years, Robert Gilmer's numerous articles and books have had a tremendous impact on research in commutative algebra.

Operational Quantum Theory II is a distinguished work on quantum theory at an advanced algebraic level.

Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level.

M-Solid Varieties of Algebras provides a complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on M-solid varieties of semirings and semigroups.

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century.

The second part of the book concludes with Plancherel's theorem in Chapter 8.

This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors.

The legacy of Galois was the beginning of Galois theory as well as group theory.

This book is an outgrowth of courses given by me for graduate students at York University in the past ten years.

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications.

From reviews of the German edition: "e;This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory.

The literature of the behavioural and social sciences is full of theory and research on learning and memory.

Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra.

The Psychology of Attack Politics explores the use of political attacks in election campaigns, and the way in which their, often deliberate, use impacts voters and has wide reaching societal consequences.

The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra-namely Higgs bundles.

This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas of contemporary mathematics-from leading specialists on the subject.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

This book differentiates between categories of adolescent male offending and explores the behavioural and social profiles of those who become involved inviolent offending and organized crime.

This book differentiates between categories of adolescent male offending and explores the behavioural and social profiles of those who become involved inviolent offending and organized crime.

Work together for academic success*The Collins Academic Skills Series - winner of the ELTon 2014 Innovation in Learner Resources Award.

Gain some insight into the game of life.

This fascinating book explores the concept of slow living, offering a philosophical and psychological exploration of the need for a slower pace of life.

The theory of expander graphs is a rapidly developing topic in mathematics and computer science, with applications to communication networks, error-correcting codes, cryptography, complexity theory, and much more.

This book not only discusses cellular automata (CA) as accouterment for simulation, but also the actual building of devices within cellular automata.

The second edition of this handbook explores the social, cognitive, motivational, interpersonal, clinical, and applied aspects of personal uncertainty.

In the 1800s mathematicians introduced a formal theory of symmetry: group theory.

This book is intended for graduate students in Physics.

This book is intended for graduate students in Physics.

The Handbook of Rational and Social Choice provides an overview of issues arising in work on the foundations of decision theory and social choice over the past three decades.

This is an open access title available under the terms of a CC BY-NC-ND 4.