Collection:
Mathematics
10968 books
Calculus: Concepts and Methods - Paperback
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by Ken Binmore (Author), Joan Davies (Author)This second edition of a text for a course on calculus of functions of several variables begins with basics of matrices and vectors and a chapter recalling the important points of the theory in one dimension. It then introduces partial derivatives via functions of two variables and then extends the discussion to more than two variables. This pattern is repeated throughout the book, with two variables being used as a springboard for the more general...
Geometric Tomography - Hardcover
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by Richard J. Gardner (Author)Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geo...
Random Fragmentation and Coagulation Processes - Hardcover
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by Jean Bertoin (Author)Fragmentation and coagulation are two natural phenomena that can be observed in many sciences and at a great variety of scales - from, for example, DNA fragmentation to formation of planets by accretion. This book, by the author of the acclaimed L vy Processes, is the first comprehensive theoretical account of mathematical models for situations where either phenomenon occurs randomly and repeatedly as time passes. This self-contained treatment develops the models in a ...
Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus - Paperback
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by L. C. G. Rogers (Author), David Williams (Author)The second volume concentrates on stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes. These subjects are made accessible in the many concrete examples that illustrate techniques of calculation, and in the treatment of all topics from the ground up, starting from simple cases. Many of the examples and proofs are new; some important calculational techniques appear for the first time in...
Diffusions, Markov Processes, and Martingales: Volume 1, Foundations - Paperback
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by L. C. G. Rogers (Author), David Williams (Author)Now available in paperback, this celebrated book remains a key systematic guide to a large part of the modern theory of Probability. The authors not only present the subject of Brownian motion as a dry part of mathematical analysis, but convey its real meaning and fascination. The opening, heuristic chapter does just this, and it is followed by a comprehensive and self-contained account of the foundations of theory of stochastic processes. C...
Modeling Methods for Marine Science - Hardcover
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by David M. Glover (Author), William J. Jenkins (Author), Scott C. Doney (Author)This advanced textbook on modeling, data analysis and numerical techniques for marine science has been developed from a course taught by the authors for many years at the Woods Hole Oceanographic Institute. The first part covers statistics: singular value decomposition, error propagation, least squares regression, principal component analysis, time series analysis and objective interpolation. The second part deal...
The Mathematical Foundations of Mixing - Hardcover
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by Rob Sturman (Author), Julio M. Ottino (Author), Stephen Wiggins (Author)Mixing processes occur in many technological and natural applications, with length and time scales ranging from the very small to the very large. The diversity of problems can give rise to a diversity of approaches. Are there concepts that are central to all of them? Are there tools that allow for prediction and quantification? The authors show how a variety of flows in very different settings possess the characteristi...
Oriented Matroids: Second Edition - Paperback
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by Anders Björner (Author), Michel Las Vergnas (Author), Bernd Sturmfels (Author)This second edition of the first comprehensive, accessible account of the subject is intended for a diverse audience: graduate students who wish to learn the subject, researchers in the various fields of application who want to concentrate on certain theoretical aspects, and specialists who need a thorough reference work. For the second edition, the authors have greatly expanded the bibliography to ensure that it...
Elements of the Random Walk - Hardcover
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by Joseph Rudnick (Author), George Gaspari (Author)Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. This book is an introduction to some of the most powerful and general techniques used in the application of these ideas. Its self-contained text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established research...
Multidimensional Real Analysis II: Integration - Hardcover
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by J. J. Duistermaat (Author), J. A. C. Kolk (Author), J. P. Van Braam Houckgeest (Translator)Volume 2 provides a comprehensive review of integral analysis in multidimensional Euclidean space.
Number of Pages: 396
Dimensions: 1 x 9.24 x 5.94 IN
Illustrated: Yes
Publication Date: May 06, 2004
Architecture and Mathematics in Ancient Egypt - Hardcover
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by Corinna Rossi (Author)Corinna Rossi explores the use of numbers and geometrical figures by the Ancient Egyptians in their architectural projects and buildings. Whereas previous architectural studies have searched for "universal rules" to explain the entire history of Egyptian architecture, Rossi reconciles the approaches of architectural historians and archaeologists by testing architectural theories. This book is essential reading for all scholars of Ancient Egypt and the architecture of ...
An Introduction to Support Vector Machines and Other Kernel-Based Learning Methods - Hardcover
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by Nello Cristianini (Author), John Shawe-Taylor (Author)This is the first comprehensive introduction to Support Vector Machines (SVMs), a new generation learning system based on recent advances in statistical learning theory. Students will find the book both stimulating and accessible, while practitioners will be guided smoothly through the material required for a good grasp of the theory and its applications. The concepts are introduced gradually in accessible and self-contained stages, whi...
The Theory of Information and Coding - Hardcover
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by R. J. McEliece (Author)This is a revised edition of McEliece's classic, published with students in mind. It is a self-contained introduction to all basic results in the theory of information and coding. This theory was developed to deal with the fundamental problem of communication, that of reproducing at one point, either exactly or approximately, a message selected at another point. There is a short and elementary overview introducing the reader to the concept of coding. Then, following ...
Introduction to Foliations and Lie Groupoids - Hardcover
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by I. Moerdijk (Author), J. Mrcun (Author)Based on a graduate course taught at Utrecht University, this book provides a short introduction to the theory of Foliations and Lie Groupoids to students who have already taken a first course in differential geometry. Ieke Moerdijk and Janez Mrcun include detailed references to enable students to find the requisite background material in the research literature. The text features many exercises and worked examples.
Number of Pages: 184
Dimensions: 0....
Introduction to Lattices and Order - Paperback
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by B. A. Davey (Author), H. A. Priestley (Author)Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. This book covers areas such as ordered sets and lattices. A key feature of ordered sets, one which is emphasized in the text, is that they can be represented pictorially. Lattices are also considered as algebraic structures and hence a purely algebraic study is used to reinfo...
Asymptotic Statistics - Paperback
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by A. W. Van Der Vaart (Author)Here is a practical and mathematically rigorous introduction to the field of asymptotic statistics. In addition to most of the standard topics of an asymptotics course--likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures--the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of...
Saddlepoint Approximations with Applications - Hardcover
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by Ronald W. Butler (Author)Modern statistical methods use complex, sophisticated models that can lead to intractable computations. Saddlepoint approximations can be the answer. Written from the user's point of view, this book explains in clear language how such approximate probability computations are made, taking readers from the very beginnings to current applications. The core material is presented in chapters 1-6 at an elementary mathematical level. Chapters 7-9 then give a highly readab...
Semiparametric Regression - Paperback
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by David Ruppert (Author), M. P. Wand (Author), R. J. Carroll (Author)Science abounds with problems where the data are noisy and the answer is not a straight line. Semiparametric regression analysis helps make sense of such data in application areas that include engineering, finance, medicine and public health. The book is geared towards researchers and professionals with little background in regression as well as statistically oriented scientists (biostatisticians, econometricians, quantitat...
Essential Mathematics for Political and Social Research - Hardcover
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by Jeff Gill (Author)Essential Mathematics for Political and Social Research addresses an educational deficiency in the social and behavioral sciences. This 2006 book was the first of its kind to specifically address the comprehensive introduction to the mathematical principles needed by modern social scientists. The material introduces basic mathematical principles necessary to do analytical work in the social sciences, starting from first principles, but without unnecessary complexity. The ...
Generalized Linear Models for Insurance Data - Hardcover
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by Piet de Jong (Author), Gillian Z. Heller (Author)This is the only book actuaries need to understand generalized linear models (GLMs) for insurance applications. GLMs are used in the insurance industry to support critical decisions. Until now, no text has introduced GLMs in this context or addressed the problems specific to insurance data. Using insurance data sets, this practical, rigorous book treats GLMs, covers all standard exponential family distributions, extends the methodology to co...
Dynamical Processes on Complex Networks - Hardcover
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by Alain Barrat (Author), Marc Barthélemy (Author), Alessandro Vespignani (Author)The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effec...
Elements of the Representation Theory of Associative Algebras - Hardcover
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by Daniel Simson (Author), Andrzej Skowroński (Author)The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary al...
Classical and Multilinear Harmonic Analysis - Hardcover
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by Camil Muscalu (Author), Wilhelm Schlag (Author)This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the high...
Harmonic Analysis on Finite Groups - Hardcover
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by Tullio Ceccherini-Silberstein (Author), Fabio Scarabotti (Author), Filippo Tolli (Author)Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space, this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and a presentation ...
Multidimensional Stochastic Processes as Rough Paths - Hardcover
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by Peter K. Friz (Author), Nicolas B. Victoir (Author)Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differential equations. Key theorems of modern stochastic analysis (existence and limit theorems for stochastic flows, Freidlin-Wentzell theory, the Stroock-Varadhan support description) can be obtained with dramatic simplifications. Classical approximation results and their limitations (Wong-Zakai, McShane's counterexample) receive 'obvious' rough pat...
Fundamentals of Object Tracking - Hardcover
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by Subhash Challa (Author), Mark R. Morelande (Author), Darko Musicki (Author)Kalman filter, particle filter, IMM, PDA, ITS, random sets... The number of useful object-tracking methods is exploding. But how are they related? How do they help track everything from aircraft, missiles and extra-terrestrial objects to people and lymphocyte cells? How can they be adapted to novel applications? Fundamentals of Object Tracking tells you how. Starting with the generic object-tracking problem, it outl...
Lie Groups, Physics, and Geometry - Hardcover
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by Robert Gilmore (Author)Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analog...
Computational Complexity - Hardcover
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by Oded Goldreich (Author)This book offers a comprehensive perspective to modern topics in complexity theory, which is a central field of the theoretical foundations of computer science. It addresses the looming question of what can be achieved within a limited amount of time with or without other limited natural computational resources. Can be used as an introduction for advanced undergraduate and graduate students as either a textbook or for self-study, or to experts, since it provides expo...
Galois Groups and Fundamental Groups - Hardcover
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by Tamás Szamuely (Author)Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as lit...
Entropy in Dynamical Systems - Hardcover
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by Tomasz Downarowicz (Author)This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theorem, the Krieger Generator Theorem and, among the newest developments, the ergodic law of series. In Part II, after an expanded exposition of classical topological entropy, the book addresse...
An Introduction to Lie Groups and Lie Algebras - Hardcover
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by Alexander Kirillov Jr (Author)This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes th...
Probability, Random Processes, and Statistical Analysis - Hardcover
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by Hisashi Kobayashi (Author), Brian L. Mark (Author), William Turin (Author)Together with the fundamentals of probability, random processes, and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Browni...
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