Like the other volumes of the Cambridge Bible Commentary, this contains an introduction followed by the text of the New English Bible divided into sections. Each section of the text is followed by the commentary upon it. The Second Book of Samuel tells how David took full control of both the northern and southern Hebrew kingdoms and consolidated his power throughout the region. Professor Ackroyd's commentary concentrates on interpretation rather than historical reconstruction, and part of his introduction dealing with the theological significance of the Books of Samuel relates the religious...

As in other volumes of the Cambridge Bible Commentary, there are introductions to the books dealt with, followed by the text of the New English Bible divided into sections. Each section of the text is followed by the commentary upon it. The preaching of the prophets Haggai and Zechariah gave a new impetus to the life of the 'remnant' of the Jewish people returned from the Babylonian exile. Haggai stresses the importance of the relationship to God of the community as a whole, while Zechariah is seen as a prophet of hope, promising Yahweh's salvation to his people. Dr Mason considers Malachi,...

The aim of this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory leading to an elementary proof of the Lidskij trace theorem. The author assumes the reader is familiar with linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach.

This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithmetic L-functions and p-adic L-functions. The approach is basically algebraic, and the treatment is elementary. No deep knowledge from algebraic geometry and representation theory is required. The author's main tool in dealing with these problems is taken from cohomology theory over Riemann surfaces, which is also explained in detail in the book. He also gives a concise but thorough treatment of analytic continuation and functional equation....

This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.

This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of "modern" set theory:...

First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.