(Paperback)

Offers an introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, this title goes on to discuss the Clebsch-Gordan coefficients for a two-component system.

(Paperback)

Based on von Neumann's lecture notes, this book begins with the development of the axioms of continuous geometry, dimension theory, and - for the irreducible case - the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries.

(Paperback, Revised edition)

An introduction to dynamic programming, presented by the scientist who coined the term and developed the theory in its early stages. It introduces the author's theory and furnishes a new and versatile mathematical tool for the treatment of many complex problems, both within and outside of the discipline.

(Paperback)

(Hardback)

(Paperback)

The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology theory that embodies all three.

(Paperback)

In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. This book develops linear programming methods for their solutions. It introduces the basic theory of linear inequalities and describes the simplex method used to solve them.

(Paperback, New Edition)

(Hardback, New Edition)

(Hardback, Revised edition)

(Paperback)

Axiomatic Quantum Field Theory gives precise mathematical responses to questions like: What is a quantized field And what are the physically indispensable attributes of a quantized field This title offers a summary of and introduction to the achievements of Axiomatic Quantum Field Theory.

(Paperback, Revised edition)

Offers a survey of representation theory of semisimple Lie groups. Suitable for both graduate students and researchers, this book states the theorems precisely, and gives many illustrative examples or classes of examples. It includes for the reader a useful 300-item bibliography and an extensive section of notes.

(Paperback)

In this text the author looks at the work of Riemann, who in the 19th century contributed to the study of curved surfaces, or non-Euclidian geometry. Riemann's results later found application in physics, when Einstein introduced his theory of relativity.

(Paperback, Revised edition)

Presents an account of two pillars of the techniques of nonlinear dynamics and chaos theory: stable and chaotic behavior. This title discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory.

(Paperback)

Discusses the symmetric, linear, orthogonal, and symplectic groups and determines their invariants and representations. This book covers topics such as matrix algebras, semigroups, commutators, and spinors, which help in understanding the group-theoretic structure of quantum mechanics.

(Paperback)

Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics - such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically.

(Paperback)

Einstein's general theory of relativity requires a curved space for the description of the physical world. This title comprises thirty-five compact chapters that takes the reader point-by-point through the necessary steps for understanding general relativity.

(Paperback)

Provides a clear introduction to one of the important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, this book goes on to examine tangent spaces, oriented manifolds, and vector fields. It discusses concepts such as homotopy, the index number of a map, and the Pontryagin construction.