Bøger i Cambridge Mathematical Library serien

Many of the ideas introduced by Macaulay in this book have developed into central concepts of modern theory. Originally published over 75 years ago, the wealth of thinking expounded here by Macaulay will still be a source of inspiration to all workers in commutative algebra.

An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.

All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

In this substantial revision of his excellent book, Professor Biggs has taken the opportunity to clarify and update the text, whilst leaving the structure unchanged. Like the first edition, this will be essential reading for all combinatorialists.

This comprehensive text describes the science of waves in liquids and gases. It will be invaluable to engineers, physicists, geophysicists, applied mathematicians and researchers concerned with wave motions or fluid flows. It is especially suitable as a textbook for final year undergraduates or graduates.

This classic, now in paperback, discusses the mathematical theory of viscosity, thermal conduction and diffusion in non-uniform gases, based on the solutions of the Maxwell-Boltzmann equations. The theories of Chapman and Enskog, the quantum theory of collisions and the theory of conduction and diffusion in ionized gases in electric and magnetic fields are also detailed.

Originally published in 1934 in the Cambridge Tracts, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Reimann. This tract remains unsurpassed as an introduction to the field.

Designed for non-specialists, this classic text by a world expert is an invaluable reference for those seeking a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding both as a text and reference for students and researchers in graph theory and its applications.

Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism. Background material on mathematics has been collected in appendices to help the reader. Contains a new preface specially written for this edition by the author, updates on open problems and exercises.

First published in 1967, Professor Batchelor's classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable. This re-issue should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation.

Now available in the Cambridge Mathematical Library, this classic text is a systematic exposition of the theory and a compilation of its important results. Can be used to complement courses on differential geometry, Lie groups, probability or differential geometry. An ideal text and reference and for those entering the field.

Many questions involving the theory of surfaces, such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface, are touched upon in this volume.

This celebrated volume gives an accessible introduction to stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes. Together with its companion, it helps equip graduate students for research into a subject of great intrinsic interest and wide application.

All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

The classic textbook from Burkill and Burkill, now available in the Cambridge Mathematical Library. This straightforward course is intended for students who already have a working knowledge of calculus. Clear exposition, logical development and a wealth of illuminating examples ensure that this book will appeal to students of analysis.