Mathematics for physics

Sample

Falko Lorenz

The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews

Sample

Rouslan L. Stratonovich

This book gives the first detailed and coherent treatment of a young and exciting branch of statistical physics. The author presents a new common theoretical framework describing both linear and nonlinear nonequilibrium thermodynamics. This first of two volumes is concerned largely with the derivation and applications of various types of fluctuation-dissipation theorems. Both theoretical physicists and applied scientists will find this material of interest since the theoretical treatment is supported by numerous illustrative examples and application of the general result to a variety of electrical, thermal, mechanical and chemical systems.

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Mikio Nakahara

"Geometry, Topology and Physics is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics."--Jacket.

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[contributors, Antonio Angelosanto [and ten others

This student-friendly textbook comprehensively covers the OCR A exam specification for AS-Level Chemistry. It contains in-depth, accessible notes explaining every topic, supported by clear diagrams, photographs, tips and worked examples. To test students' knowledge and understanding, there are practice questions throughout the book - with complete answers included. There's also detailed guidance for success in the final assessments, including exam-style questions and sections dedicated to exam skills and how science works.