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Cambridge Studies in Advanced ...Sub-Riemannian geometry is the geometry of a world with nonholonomic constrain... Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world one can move send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two... more
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Cambridge Studies in Advanced ...This informal introduction provides a fresh perspective on isomorphism theory ... This informal introduction provides a fresh perspective on isomorphism theory which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic... more
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Cambridge Studies in Advanced ...The theory of random matrices plays an important role in many areas of pure ma... The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical probabilistic and combinatorial). This diverse array of tools while attesting to the... more
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Cambridge Studies in Advanced ...The subject of special functions is often presented as a collection of dispara... The subject of special functions is often presented as a collection of disparate results which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors main goals are to emphasise... more
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Cambridge Studies in Advanced ...The representation theory of finite groups has seen rapid growth in recent yea... The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation... more
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Cambridge Studies in Advanced ...Random walks are stochastic processes formed by successive summation of indepe... Random walks are stochastic processes formed by successive summation of independent identically distributed random variables and are one of the most studied topics in probability theory. This contemporary introduction evolved from courses taught at... more
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Cambridge Mathematical Textboo...Through this book upper undergraduate mathematics majors will master a challen... Through this book upper undergraduate mathematics majors will master a challenging yet rewarding subject and approach advanced studies in algebra number theory and geometry with confidence. Groups rings and fields are covered in depth with a strong... more
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Cambridge Library Collection -...French mathematician Joseph Fourier s Théorie Analytique de la Chaleur was or... French mathematician Joseph Fourier s Théorie Analytique de la Chaleur was originally published in 1822. In this groundbreaking study arguing that previous theories of mechanics advanced by such outstanding scientists as Archimedes Galileo Newton... more
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Cambridge Tracts in Mathematic...Among the modern methods used to study prime numbers the sieve has been one of... Among the modern methods used to study prime numbers the sieve has been one of the most efficient. Originally conceived by Linnik in 1941 the large sieve has developed extensively since the 1960s with a recent realization that the underlying... more
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Introduction to Modern Algebra...It covers a range of topics related to the study of algebra from the basics of... It covers a range of topics related to the study of algebra from the basics of set theory to advanced topics such as Galois Theory and representation theory. The book begins with an overview of modern algebra and its importance in various fields of... more
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