Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. REDUCE language. 1.1. Welcome to REDUCE. 1.2. Functions and substitutions. 1.3. REDUCE as a programming language. 1.4. Additional facilities. 1.5. Matrices, vectors, tensors, operators. 1.6. Input-output. 1.7. Examples -- 2. Selected problems in classical physics. 2.1. Classical nonlinear oscillator. 2.2. Nonlinear water waves. 2.3. Calculation of the curvature tensor. 2.4. Examples -- 3. Quantum mechanics. 3.1. Adding angular momenta. 3.2. Quantum nonlinear oscillator. 3.3. Rotator in a weak field. 3.4. Radiative transitions in charmonium. 3.5. Examples -- 4. Quantum electrodynamics. 4.1. Kinematics. 4.2. Fields. 4.3. Feynman diagrams. 4.4. Scattering in an external field. 4.5. Scattering of charged particles.

This book describes the use of the symbolic manipulation language REDUCE in particle physics. There are several general purpose mathematics packages available to physicists, including Mathematica, Maple, and REDUCE. Each has advantages and disadvantages, but REDUCE has been found to be both powerful and convenient in solving a wide range of problems. This book introduces the reader to REDUCE and demonstrates its utility as a mathematical tool in physics. The first chapter of the book describes the REDUCE system, including some library packages. The following chapters show the use of REDUCE in examples from classical mechanics, hydrodynamics, general relativity and quantum mechanics. The rest of the book systematically presents the Standard Model of particle physics (QED, weak interactions, QCD). A large number of scattering and decay processes are calculated with REDUCE. All example programs from the book can be downloaded via Internet, from http://www.inp.nsk.su/~grozin/book/. The emphasis throughout is on learning through worked examples.