Collection:
Mathematics
10962 books
Exterior Billiards: Systems with Impacts Outside Bounded Domains - Hardcover
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by Alexander Plakhov (Author)A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from the boundary of a domain. Exterior Billiards presents billiards in the complement of domains and their applications in aerodynamics and geometrical optics. This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including scattering, resistance, invisibility and retro-reflection. It begins...
Calculus Without Derivatives - Hardcover
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by Jean-Paul Penot (Author)Preface.- 1 Metric and Topological Tools.- 2 Elements of Differential Calculus.- 3 Elements of Convex Analysis.- 4 Elementary and Viscosity Subdifferentials.- 5 Circa-Subdifferentials, Clarke Subdifferentials.- 6 Limiting Subdifferentials.- 7 Graded Subdifferentials, Ioffe Subdifferentials.- References.- Index.Back JacketCalculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that ob...
Axịom(tm): The Scientific Computation System - Paperback
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by Richard D. Jenks (Author), S. C. Morrison (Contribution by), Robert S. Sutor (Author)Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at t...
A Textbook of Graph Theory - Paperback
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by R. Balakrishnan (Author), K. Ranganathan (Author)Preface to the Second Edition.- Preface to the First Edition.- 1 Basic Results.- 2 Directed Graphs.- 3 Connectivity.- 4 Trees.- 5 Independent Sets and Matchings.- 6 Eulerian and Hamiltonian Graphs.- 7 Graph Colorings.- 8 Planarity.- 9 Triangulated Graphs.- 10 Domination in Graphs.- 11 Spectral Properties of Graphs.- Bibliography.- Index.Back JacketGraph theory experienced a tremendous growth in the 20th century. One of the main reasons for t...
Augustin-Louis Cauchy: A Biography - Paperback
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by Frank Ragland (Translator), Bruno Belhoste (Author)A great difficulty facing a biographer of Cauchy is that of delineating the curious interplay between the man, his times, and his scientific endeavors. Professor Belhoste has succeeded admirably in meeting this challenge and has thus written a vivid biography that is both readable and informative. His subject stands out as one of the most brilliant, versatile, and prolific fig ures in the annals of science. Nearly two hundred years have no...
Attractors for Infinite-Dimensional Non-Autonomous Dynamical Systems - Hardcover
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by Alexandre Carvalho (Author), José a. Langa (Author), James Robinson (Author)The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear i...
Scientific Data Analysis: An Introduction to Overdetermined Systems - Paperback
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by Richard L. Jr. Branham (Author)This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific data reduction. It is not a text on statistics, numerical methods, or matrix cOmputations, although elements of all three, especially the latter, enter into the discussion. The reader I have in mind is a scientist or engineer who has gathered data that he or she wants to model by a mathematical system, perhaps linear, perhaps nonlinea...
The Book of Numbers - Paperback
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by John H. Conway (Author), Richard Guy (Author)John Horton Conway is a world famous professor of mathematics at Princeton University, and inventor of The Game of Life. Previous books include On Numbers and Games, and Sphere Packing, Lattices and Groups. Richard K. Guy is professor emeritus of mathematics at the University of Calgary, with more than 200 publications and 10 books to his credit. Potential readers include the audience for The Mathematical Tourist (Ivars Petersen, Freeman); A Mat...
Field and Galois Theory - Paperback
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by Patrick Morandi (Author)In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made t...
An Introduction to the Theory of Groups - Paperback
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by Joseph J. Rotman (Author)Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --M...
Classical Descriptive Set Theory - Paperback
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by Alexander Kechris (Author)Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and cov...
Linear Algebra - Paperback
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by Klaus Jänich (Author)This is a carefully written, clear account of elementary linear algebra with good problems and interesting historical sidelights. It will be used for collateral reading and primary reference by many students. The text, written by a very well-known author, includes many exercises and good examples.
Number of Pages: 206
Dimensions: 0.47 x 9.21 x 6.14 IN
Publication Date: September 26, 2011
Fractals for the Classroom: Part Two: Complex Systems and Mandelbrot Set - Paperback
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by Heinz-Otto Peitgen (Author), Hartmut Jürgens (Author), Dietmar Saupe (Author)Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustratio...
Introduction to Perturbation Methods - Hardcover
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by Mark H. Holmes (Author)This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation,...
Dynamics and Bifurcations - Paperback
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by Jack K. Hale (Author), H. Buttanri (Illustrator), Hüseyin Kocak (Author)The authors present the subject of dynamical systems so that it is accessible to undergraduate and beginning graduate students in mathematics or science and engineering. The fundamental ideas of dynamics and bifurcations are explained in a mathematically insightful setting, yet devoid of extensive formalism.
Number of Pages: 574
Dimensions: 1.2 x 9.21 x 6.14 IN
Publication Date: November 19, 2011
Mathematical Introduction to Linear Programming and Game Theory - Paperback
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by Louis Brickman (Author)Mathematical elegance is a constant theme in this treatment of linear programming and matrix games. Condensed tableau, minimal in size and notation, are employed for the simplex algorithm. In the context of these tableau the beautiful termination theorem of R.G. Bland is proven more simply than heretofore, and the important duality theorem becomes almost obvious. Examples and extensive discussions throughout the book provide insight into definitions, theorems, and ap...
Advanced Calculus and Its Applications in Variational Quantum Mechanics and Relativity Theory - Paperback
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by Fabio Silva Botelho (Author)The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes detailed and rigorous studies on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters.The second part reviews applications, specifically in variational quantum mechanics and ...
An Introduction to Algebraic Topology - Paperback
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by Joseph J. Rotman (Author)This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a two- semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra.
Number of Pages: 437
Dimensions: 0.93 x 9.21 x 6.14 IN
Publication Date: October 05, 2011
Intersections of Random Walks - Paperback
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by Gregory F. Lawler (Author)Simple Random Walk.- Harmonic Measure.- Intersection Probabilities.- Four Dimensions.- Two and Three Dimensions.- Self-Avoiding Walks.- Loop-Erased walk.- Recent Results.Back JacketA central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and...
Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds - Paperback
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by Georg Polya (Author), Dorothee Aeppli (Translator), R. C. Read (Author)In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest- immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding...
Elliptic Functions - Paperback
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by Serge Lang (Author)Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of De...
Linear Integral Equations: Theory & Technique - Paperback
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by RAM P. Kanwal (Author)Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics. This uncorrected soft cover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive examples.Originally published in 1971, Linear Integral Equations is ideal as a text for a b...
Elementary Analysis: The Theory of Calculus - Hardcover
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by Kenneth A. Ross (Author)For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large num...
Nonlinear Functional Analysis and Its Applications: III: Variational Methods and Optimization - Paperback
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by L. F. Boron (Translator), E. Zeidler (Author)As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick ...
Multivariable Analysis - Paperback
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by Griffith B. Price (Author)This book contains an introduction to the theory of functions, with emphasis on functions of several variables. The central topics are the differentiation and integration of such functions. Although many of the topics are familiar, the treatment is new; the book developed from a new approach to the theory of differentiation. Iff is a function of two real variables x and y, its deriva- tives at a point Po can be approximated and found as follows. Let PI' P2 be two ...
Geometric Topology in Dimensions 2 and 3 - Paperback
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by E. E. Moise (Author)Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be given a name, but its beginnings are easy to identify. The first classic result was the SchOnflies theorem (1910), which asserts that every 1-sphere in the plane is the boundary of a 2-cell. In the next few decades, the mos...
Nonlinear Optimization Applications Using the Gams Technology - Hardcover
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by Neculai Andrei (Author)Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.Back JacketNonlinear Optimization Applications Using the GAMS Technology develops a wide spectrum of nonlinear optimization applications expressed in the GAMS (General Algebraic Modeling System) language. The book i...
Applied Predictive Modeling - Hardcover
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by Max Kuhn (Author), Kjell Johnson (Author)Applied Predictive Modeling covers the overall predictive modeling process, beginning with the crucial steps of data preprocessing, data splitting and foundations of model tuning. The text then provides intuitive explanations of numerous common and modern regression and classification techniques, always with an emphasis on illustrating and solving real data problems. The text illustrates all parts of the modeling process through many hands-on, real-...
Measure Theory: Second Edition - Hardcover
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by Donald L. Cohn (Author)Intended as a self-contained introduction to measure theory, this textbook provides a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition provides the reader with a broad perspective on measure theory through additional topics such as the Kurzweil-Henstock integral, the Banach-Tarski paradox, a proof of the existence of liftings, t...
Spectral and Dynamical Stability of Nonlinear Waves - Hardcover
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by Todd Kapitula (Author), Keith Promislow (Author)Introduction.- Background material and notation.- Essential and absolute spectra.- Dynamical implications of spectra: dissipative systems.- Dynamical implications of spectra: Hamiltonian systems.- Dynamical implications of spectra: Hamiltonian systems.- Point spectrum: reduction to finite-rank eigenvalue problems.- Point spectrum: linear Hamiltonian systems.- The Evans function for boundary value problems.- The Evans function for Sturm-Liouvi...
Graphs on Surfaces: Dualities, Polynomials, and Knots - Paperback
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by Joanna A. Ellis-Monaghan (Author), Iain Moffatt (Author)Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve problems in graph and knot theory. Taki...
Applied Spatial Data Analysis with R - Paperback
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by Roger S. Bivand (Author), Edzer Pebesma (Author), Virgilio Gómez-Rubio (Author)Applied Spatial Data Analysis with R, second edition, is divided into two basic parts, the first presenting R packages, functions, classes and methods for handling spatial data. This part is of interest to users who need to access and visualise spatial data. Data import and export for many file formats for spatial data are covered in detail, as is the interface between R and the open source GRASS GIS and the han...
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