C M Series - Böcker

A lucid and concise account of the classification of algebraic surfaces, but expressed simply in the language of modern topology and sheaf theory. The ample number of exercises succeed both in giving the flavour of the extraordinary wealth of exam...

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The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. This book is meant to rectify this situation by providing a fairly elementary and self-contained introduction...

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This book is an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of spacetime and those which play a role in the Penrose-...

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This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

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This book is based on a graduate course taught by the author at the University of Maryland. The work falls into two strands: first the elementary theory of Artin Braid groups is developed and the link between knot theory and the combinatorics of b...

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This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules an...

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This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules an...

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This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. It is aimed at students who have had a first course in differentiable manifolds, and the Riem...

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Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject...

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This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. It is aimed at students who have had a first course in differentiable manifolds, and the Riem...

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An excellent introduction to the theory of Lie groups and Lie algebras from an LMS/SERC sponsored short course in 1993. Together these lectures provide an elementary account of the theory that is unsurpassed.

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This book presents an introduction to the common ground between operator theory and linear systems theory. Suitable for students of functional analysis, this book also acts as an introduction to a mathematical approach to systems and control for g...

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The book is a self-contained introduction to the results and computational methods in classical invariant theory. It relies on minimal mathematical prerequisites, and can be read by advanced undergraduate or graduate students. A variety of innovat...

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The author develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The intuitive presentation and ...

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Starting with a detailed and self contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, this book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets ...

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This book is an introduction to an important area of mathematics and mathematical physics. It is accessible to university students, but leads to topics of current research in the theory of harmonic maps. It is the first book on this subject at thi...

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This revised edition provides an introduction to combinatorial group theory.

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This book is an introduction to an important area of mathematics and mathematical physics. It is accessible to university students, but leads to topics of current research in the theory of harmonic maps. It is the first book on this subject at thi...

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A coherent account of the computational methods used to solve diophantine equations. Topics include local methods, sieving, descent arguments, the LLL algorithm, Baker's theory of linear forms in logarithms, and problems associated with curves. Us...

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The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. It can be used as a first-year graduate text or as a reference for...

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This introductory account of commutative algebra is aimed at students with a background only in basic algebra. It is thus suitable for first-year graduate students and advanced undergraduates, with a style which is throughout rigorous but concrete...

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This book gives a summary of recent developments in the study of permutation groups, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple...

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The prime number theorem is indisputably one of the great classical theorems of mathematics. Suitable for advanced undergraduates and beginning graduates, this textbook demonstrates how the tools of analysis can be used in number theory to attack ...

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This 2003 book investigates the interplay between algebra and geometry is a beautiful area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashi...

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This 2003 book proves striking results connecting topology and algebra and shows how the result fits into a more general pattern. It will prove valuable to students or researchers entering this field who will learn a host of modern techniques. The...

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The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is...

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Barron's Nursing School Entrance Exams provides detailed review and practice materials that you need to achieve success on the various Nursing School Entrance Exams (including the HESI A2, NLN PAX-RN, PSB-RN, RNEE, and the TEAS). This edition feat...

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This ninth volume in the series concentrates on in situ spectroscopic methods and combines a balanced mixture of theory and applications, making it highly readable for chemists and physicists, as well as for materials scientists and engineers. As ...

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