Collection:
Mathematics
10962 books
First Steps in Differential Geometry: Riemannian, Contact, Symplectic - Hardcover
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by Andrew McInerney (Author)Basic Objects and Notation.- Linear Algebra Essentials.- Advanced Calculus.- Differential Forms and Tensors.- Riemannian Geometry.- Contact Geometry.- Symplectic Geometry.- References.- Index.Back JacketDifferential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the uppe...
Calculus with Applications - Hardcover
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by Peter D. Lax (Author), Maria Shea Terrell (Author)This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition ...
Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation - Hardcover
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by Andrei Osipov (Author), Vladimir Rokhlin (Author), Hong Xiao (Author)Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special function...
Theory of Fuzzy Computation - Hardcover
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by Apostolos Syropoulos (Author)The book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and present the foundation of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and the author includes all proofs to make ...
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis - Hardcover
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by Robert M. Corless (Author), Nicolas Fillion (Author)This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four p...
Envstats: An R Package for Environmental Statistics - Paperback
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by Steven P. Millard (Author)This book describes EnvStats, a new comprehensive R package for environmental statistics and the successor to the S-PLUS module EnvironmentalStats for S-PLUS (first released in 1997). EnvStats and R provide an open-source set of powerful functions for performing graphical and statistical analyses of environmental data, bringing major environmental statistical methods found in the literature and regulatory guidance documents into one statistical package, along with...
Statistical Thermodynamics and Differential Geometry of Microstructured Materials - Paperback
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by H. Ted Davis (Editor), Johannes C. C. Nitsche (Editor)In this volume, an interdisciplinary group of researchers report their developments. Topics include statistical mechanical free energy theories which predict the appearance of various microstructures, the topological and geometrical methods needed for a mathematical description of the subparts and dividing surfaces of heterogeneous materials, and modern computer-aided mathematical models and graphics for effective exposition of the sali...
Optimal Control with Aerospace Applications - Hardcover
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by James M. Longuski (Author), José J. Guzmán (Author), John E. Prussing (Author)Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-...
Percolation Theory and Ergodic Theory of Infinite Particle Systems - Paperback
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by Harry Kesten (Editor)This IMA Volume in athematics and its Applications PERCOLATION THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents the proceedings of a workshop which was an integral part of the 19R4-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: naniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaoo for planning and implementing an exciting and ...
New Directions in Time Series Analysis: Part II - Paperback
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by David Brillinger (Editor), Peter Caines (Editor), John Geweke (Editor)This IMA Volume in Mathematics and its Applications NEW DIRECTIONS IN TIME SERIES ANALYSIS, PART II is based on the proceedings of the IMA summer program "New Directions in Time Series Analysis. " We are grateful to David Brillinger, Peter Caines, John Geweke, Emanuel Parzen, Murray Rosenblatt, and Murad Taqqu for organizing the program and we hope that the remarkable excitement and enthusiasm of the participants in this...
Fundamentals of Two-Fluid Dynamics: Part I: Mathematical Theory and Applications - Paperback
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by Daniel D. Joseph (Author), Yuriko Y. Renardy (Author)Two-fluid dynamics is a challenging subject rich in physics and prac- tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different config...
Candy Bites: The Science of Sweets - Paperback
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by Richard W. Hartel (Author), Annakate Hartel (Author)This delicious new book reveals the fascinating science behind some of our favorite candies. If you've ever wondered how candy corn is made or whether Baby Ruth bars really float, as in the movie Caddy shack, then this engaging collection of food for thought is guaranteed to satisfy your hunger for knowledge. As well as delving into candy facts and myths such as the so-called 'sugar high' and the long history of making sweetmeats, the aut...
Introduction to College Mathematics with a Programming Language - Paperback
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by Edward J. Lecuyer (Author)The topics covered in this text are those usually covered in a full year's course in finite mathematics or mathematics for liberal arts students. They correspond very closely to the topics I have taught at Western New England College to freshmen business and liberal arts students. They include set theory, logic, matrices and determinants, functions and graph- ing, basic differential and integral calculus, probability and statistics, and trigonometry. Because this ...
An Introduction to Formal Language Theory - Paperback
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by Robert N. Moll (Author), James Pustejovsky (Other), Michael A. Arbib (Author)The study of formal languages and of related families of automata has long been at the core of theoretical computer science. Until recently, the main reasons for this centrality were connected with the specification and analy- sis of programming languages, which led naturally to the following ques- tions. How might a grammar be written for such a language? How could we check whether a text were or were not a well-...
Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics - Paperback
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by Rolf-Dieter Reiss (Author)This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern- ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theor...
Linear Integral Equations - Hardcover
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by Rainer Kress (Author)This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is deve...
Real Analysis for the Undergraduate: With an Invitation to Functional Analysis - Hardcover
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by Matthew a. Pons (Author)The Real Numbers.- Sequences in R.- Numerical Series.- Continuity.- The Derivative.- Sequence and Series of Functions.- The Riemann Integral.- Lebesgue Measure on R.- Lebesgue Integration.Back JacketThis undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typi...
Fundamentals of Two-Fluid Dynamics: Part II: Lubricated Transport, Drops and Miscible Liquids - Paperback
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by Daniel D. Joseph (Author), Yuriko Y. Renardy (Author)Two-fluid dynamics is a challenging subject rich in physics and prac- tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different config...
Introduction to Stochastic Programming - Hardcover
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by John R. Birge (Author), François Louveaux (Author)The aim of stochastic programming is to find optimal decisions in problems which involve uncertain data. This field is currently developing rapidly with contributions from many disciplines including operations research, mathematics, and probability. At the same time, it is now being applied in a wide variety of subjects ranging from agriculture to financial planning and from industrial engineering to computer networks. This textbook provide...
A Dictionary of Real Numbers - Paperback
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by Jonathan Borwein (Author)How do we recognize that the number . 93371663 . . . is actually 2 IoglQ(e ] 7r)/2 ? Gauss observed that the number 1. 85407467 . . . is (essentially) a rational value of an elliptic integral-an observation that was critical in the development of nineteenth century analysis. How do we decide that such a number is actually a special value of a familiar function without the tools Gauss had at his disposal, which were, presumably, phenomenal insight and a prodigious m...
Bifurcation Theory: An Introduction with Applications to Partial Differential Equations - Hardcover
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by Hansjörg Kielhöfer (Author)In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partia...
Representation Theory of Finite Groups: An Introductory Approach - Paperback
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by Benjamin Steinberg (Author)This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to ...
How James Watt Invented the Copier: Forgotten Inventions of Our Great Scientists - Paperback
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by René Schils (Author)Features 25 different scientists and the ideas which may not have made them famous, but made history...Typically, we remember our greatest scientists from one single invention, one new formula or one incredible breakthrough. This narrow perspective does not give justice to the versatility of many scientists who also earned a reputation in other areas of science. James Watt, for instance, is known for inventing the steam engine, yet most people do not know that he also i...
Algebraic Geometry Over the Complex Numbers - Paperback
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by Donu Arapura (Author)This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent ...
Integrated Methods for Optimization - Hardcover
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by John N. Hooker (Author)The first edition of Integrated Methods for Optimization was published in January 2007. Because the book covers a rapidly developing field, the time is right for a second edition. The book provides a unified treatment of optimization methods. It brings ideas from mathematical programming (MP), constraint programming (CP), and global optimization (GO)into a single volume. There is no reason these must be learned as separate fields, as they normally are, and there are ...
Ancient Astronomical Observations and the Study of the Moon's Motion (1691-1757) - Hardcover
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by John M. Steele (Author)The discovery of a gradual acceleration in the moon's mean motion by Edmond Halley in the last decade of the seventeenth century led to a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means to study the moon's 'secular acceleration', as this newly-discovered acceleration became known. This book contains the first detailed study of the use of ancient and medieval astronomical observations in order to i...
Vector Analysis Versus Vector Calculus - Paperback
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by Antonio Galbis (Author), Manuel Maestre (Author)The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Several practical methods and many solved exercises are provided. This book tries to show ...
Advances in Meta-Analysis - Hardcover
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by Terri Pigott (Author)The book describes multivariate analyses for several indices commonly used in meta-analysis (e.g., correlations, effect sizes, proportions and/or odds ratios), outlines how to do power analysis for meta-analysis (again for each of the different kinds of study outcome indices), and examines issues around research quality and research design and their roles in synthesis. Back JacketMeta-analysis is used increasingly in the social sciences to synthesize research results. ...
Graphical Models with R - Paperback
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by Søren Højsgaard (Author), David Edwards (Author), Steffen Lauritzen (Author)Graphical models in their modern form have been around since the late 1970s and appear today in many areas of the sciences. Along with the ongoing developments of graphical models, a number of different graphical modeling software programs have been written over the years. In recent years many of these software developments have taken place within the R community, either in the form of new packages or by providing ...
Prandtl-Essentials of Fluid Mechanics - Paperback
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by Katherine Asfaw (Translator), Herbert Oertel (Editor), P. Erhard (Contribution by)Properties of Liquids and Gases.- Kinematics of Fluid Flow.- Dynamics of Fluid Flow.- Fundamental Equations of Fluid Mechanics.- Instabilities and Turbulent Flows.- Convective Heat and Mass Transfer.- Multiphase Flows.- Reactive Flows.- Flows in the Atmosphere and in the Ocean.- Microflows.- Biofluid Mechanics.Back Jacket Ludwig Prandtl, with his fundamental contributions to hydrodynamics, aerodynamics and ...
Fundamentals of Probability: A First Course - Paperback
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by Anirban Dasgupta (Author)Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate appeal, and the answers are often structured and strikingly beautiful. A solid background in probability theory and probability models will become in...
Mathematical Foundations of Neuroscience - Paperback
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by G. Bard Ermentrout (Author), David H. Terman (Author)The Hodgkin-Huxley Equations.- Dendrites.- Dynamics.- The Variety of Channels.- Bursting Oscillations.- Propagating Action Potentials.- Synaptic Channels.- Neural Oscillators: Weak Coupling.- Neuronal Networks: Fast/Slow Analysis.- Noise.- Firing Rate Models.- Spatially Distributed Networks.Back JacketThis book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patter...
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