
Mathematics & Statistics

Cambridge's respected mathematics and statistics lists seek to combine an innovative and cutting edge approach with the highest standards of scholarship, writing and production across the whole range of the discipline. This encompasses everything from academic monographs to student textbooks. We aim to reflect the latest developments in research, and also to provide materials for graduate and undergraduate students.
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Featured Titles
 NIST Handbook of Mathematical Functions
Edited by Frank W. J. Olver , Daniel W. Lozier , Ronald F. Boisvert , Charles W. Clark
Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions.
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$50.00 (Z) 
 Complex Multiplication
Reinhard Schertz
This is a selfcontained account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field theory.
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$99.00 (C) 
 Conformal Fractals
Ergodic Theory Methods
Feliks Przytycki , Mariusz Urbanski
This is a onestop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity.
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$78.00 (C) 
 Data Analysis and Graphics Using R
An ExampleBased Approach
John Maindonald , W. John Braun
Discover what you can do with R! Introducing the R system, covering standard regression methods, then tackling more advanced topics, this book guides users through the practical, powerful tools that the R system provides.
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$80.00 (Z) 
 Logic Colloquium 2007
Edited by Françoise Delon , Ulrich Kohlenbach , Penelope Maddy , Frank Stephan
The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world.
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$90.00 (C) 
 A Practical Guide to the Invariant Calculus
Elizabeth Louise Mansfield
This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in detail.
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$75.00 (Z) 
 Smoothness, Regularity and Complete Intersection
Javier Majadas , Antonio G. Rodicio
Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms.
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$50.00 (C) 
 Random Graph Dynamics
Rick Durrett
The notion of six degrees of separation  that any two people on the planet can be connected by a short chain of people  inspired Strogatz and Watts to define the small world random graph, where each site is connected to close neighbours, but also has long range connections.
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$34.99 (Z) 
 Applied Linear Models with SAS
Daniel Zelterman
This textbook for a second course in basic statistics for undergraduates or firstyear graduate students introduces linear regression models and describes other linear models including Poisson regression, logistic regression, proportional hazards regression, and nonparametric regression.
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$65.00 (Z) 
 Theory of padic Distributions
Linear and Nonlinear Models
S. Albeverio , A. Yu Khrennikov , V. M. Shelkovich
This is the first book devoted to the theory of padic wavelets and pseudodifferential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science.
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$70.00 (C) 
 An Outline of Ergodic Theory
Steven Kalikow , Randall McCutcheon
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 measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing.
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$59.00 (Z) 
 A Framework for Priority Arguments
Manuel Lerman
This book presents a unifying framework for using priority arguments to prove theorems in computability. Priority arguments provide the most powerful theoremproving technique in the field, but most of the applications of this technique are ad hoc, masking the unifying principles used in the proofs.
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$75.00 (C) 
 Kurt Gödel
Essays for his Centennial
Edited by Solomon Feferman , Charles Parsons , Stephen G. Simpson
Kurt Gödel (1906–1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gödel’s centennial as well as papers from a 2004 symposium.
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$90.00 (C) 
 Bayesian Nonparametrics
Edited by Nils Lid Hjort , Chris Holmes , Peter Müller , Stephen G. Walker
Bayesian nonparametrics works – theoretically, computationally. The theory provides highly flexible models whose complexity grows appropriately with the amount of data. Computational issues, though challenging, are no longer intractable.
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$59.00 (Z) 
 Algebraic Methods in Unstable Homotopy Theory
Joseph Neisendorfer
The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups.
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$125.00 (C) 
 Geometry of Riemann Surfaces
Edited by Frederick P. Gardiner , Gabino GonzálezDiez , Christos Kourouniotis
Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal dynamics, discrete groups, geometric group theory, algebraic curves and their moduli, various kinds of deformation theory, coding, thermodynamic formalism, and topology of threedimensional manifolds.
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$78.00 (C) 
 Brownian Motion
Peter Mörters , Yuval Peres
This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability.
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$65.00 (Z)  
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