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GET /services/catalog/products?format=api&page=77218
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Most people, he observes, possess a direct vision that permits them to \"see\" only the smaller numbers; with the larger numbers, however, vision fails and mental chaos ensues.Sawyer addresses this difficulty, speaking both for those who like recreational mathematics and for those who teach, suggesting a variety of methods used by many effective teachers techniques of visualizing, dramatizing, and analyzing numbers that attract and retain the attention and understanding of students. His topics, ranging from basic multiplication and division to algebra, encompass word problems, graphs, negative numbers, fractions, and many other practical applications of elementary mathematics.A valuable resource for parents and teachers, this book will captivate any reader seeking an improved understanding of mathematics.", "author": "W. W. Sawyer", "slug": "vision-in-elementary-mathematics-111474-9780486143620-w-w-sawyer", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143620.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111474", "product_url": "/app/ecom/book/111474/vision-in-elementary-mathematics-111474-9780486143620-w-w-sawyer", "bisac_codes": [ "MAT034000" ], "items_count": null, "identifiers": { "ISBN13": "9780486425559", "EISBN13": "9780486143620", "EISBN10": "0486143627" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026202421" } } } }, { "type": "Product", "id": "00010000111473", "attributes": { "name": "Game Theory and Politics", "subtitle": "", "description": "In this illuminating and instructive survey, author Steven J. Brams demonstrates both the insights and the pitfalls that can result from applying game theoretic models to the analysis of problems in political science. Using plenty of real-life examples, Brams shows how game theory can explain and elucidate complex political situations, from warfare to presidential vetoes. In these cases and others, game theory's mathematical structure provides a rigorous, consistent method for formulating, analyzing, and solving strategic problems. Minimal mathematical background is necessary, making the book accessible to a wide audience of students and teachers of politics and social science, as well as other readers with a serious interest in politics. New preface to the Dover edition. 1975 edition.", "author": "Steven J. Brams", "slug": "game-theory-and-politics-111473-9780486143637-steven-j-brams", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143637.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111473", "product_url": "/app/ecom/book/111473/game-theory-and-politics-111473-9780486143637-steven-j-brams", "bisac_codes": [ "MAT011000" ], "items_count": null, "identifiers": { "ISBN13": "9780486434971", "EISBN13": "9780486143637", "EISBN10": "0486143635" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026201807" } } } }, { "type": "Product", "id": "00010000111472", "attributes": { "name": "Spherical Models", "subtitle": "", "description": "Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spherical models from five regular solids, using only circular bands of paper, a ruler and a compass. Also discussed is tessellation, or tiling, on a sphere and how to make spherical models of all the semiregular solids. The volume concludes with a discussion of the relationship of polyhedral to geodesic domes and directions for building models of the domes.Abundantly illustrated with photographs, drawings, and computer graphics of attractive geometrical models, this volume will appeal to a wide range of readersfrom students and teachers of mathematics, art, design, architecture and engineering, to recreational mathematics enthusiasts and builders of geodesic domes.", "author": "Magnus J. 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Chapters cover shortest paths, network flows, bipartite matching, nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. A suitable text or reference for courses in combinatorial computing and concrete computational complexity in departments of computer science and mathematics.", "author": "Eugene Lawler", "slug": "combinatorial-optimization-111471-9780486143668-eugene-lawler", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143668.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111471", "product_url": "/app/ecom/book/111471/combinatorial-optimization-111471-9780486143668-eugene-lawler", "bisac_codes": [ "MAT036000" ], "items_count": null, "identifiers": { "ISBN13": "9780486414539", "EISBN13": "9780486143668", "EISBN10": "048614366X" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010033478539" } } } }, { "type": "Product", "id": "00010000111470", "attributes": { "name": "N-Person Game Theory", "subtitle": "Concepts and Applications", "description": "N-person game theory provides a logical framework for analyzing contests in which there are more than two players or sets of conflicting interests-anything from a hand of poker to the tangled web of international relations. In this sequel to his Two-Person Game Theory, Dr. Rapoport provides a fascinating and lucid introduction to the theory, geared towards readers with little mathematical background but with an appetite for rigorous analysis.Following an introduction to the necessary mathematical notation (mainly set theory), in Part I the author presents basic concepts and models, including levels of game-theoretic analysis, individual and group rationality, the Von Neumann-Morgenstern solution, the Shapley value, the bargaining set, the kernel, restrictions on realignments, games in partition function form, and Harsanyi's bargaining model. In Part II he delves into the theory's social applications, including small markets, large markets, simple games and legislatures, symmetric and quota games, coalitions and power, and more.This affordable new edition will be welcomed by economists, political scientists, historians, and anyone interested in multilateral negotiations or conflicts, as well as by general readers with an interest in mathematics, logic, or games.", "author": "Anatol Rapoport", "slug": "n-person-game-theory-111470-9780486143675-anatol-rapoport", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143675.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111470", "product_url": "/app/ecom/book/111470/n-person-game-theory-111470-9780486143675-anatol-rapoport", "bisac_codes": [ "MAT011000" ], "items_count": null, "identifiers": { "ISBN13": "9780486414553", "EISBN13": "9780486143675", "EISBN10": "0486143678" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026202785" } } } }, { "type": "Product", "id": "00010000111469", "attributes": { "name": "Algorithms for Minimization Without Derivatives", "subtitle": "", "description": "This outstanding text for graduate students and researchers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. None of the algorithms requires an evaluation of derivatives; all depend entirely on sequential function evaluation, a highly practical scenario in the frequent event of difficult-to-evaluate derivatives.Topics include the use of successive interpolation for finding simple zeros of a function and its derivatives; an algorithm with guaranteed convergence for finding a minimum of a function of one variation; global minimization given an upper bound on the second derivative; and a new algorithm for minimizing a function of several variables without calculating derivatives. Many numerical examples augment the text, along with a complete analysis of rate of convergence for most algorithms and error bounds that allow for the effect of rounding errors.", "author": "Richard P. Brent", "slug": "algorithms-for-minimization-without-derivatives-111469-9780486143682-richard-p-brent", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143682.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111469", "product_url": "/app/ecom/book/111469/algorithms-for-minimization-without-derivatives-111469-9780486143682-richard-p-brent", "bisac_codes": [ "MAT042000" ], "items_count": null, "identifiers": { "ISBN13": "9780486419985", "EISBN13": "9780486143682", "EISBN10": "0486143686" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026202765" } } } }, { "type": "Product", "id": "00010000111468", "attributes": { "name": "Optimization Theory for Large Systems", "subtitle": "", "description": "Important text examines most significant algorithms for optimizing large systems and clarifying relations between optimization procedures. Much data appear as charts and graphs and will be highly valuable to readers in selecting a method and estimating computer time and cost in problem-solving. Initial chapter on linear and nonlinear programming presents all necessary background for subjects covered in rest of book. Second chapter illustrates how large-scale mathematical programs arise from real-world problems. Appendixes. List of Symbols.", "author": "Leon S. Lasdon", "slug": "optimization-theory-for-large-systems-111468-9780486143699-leon-s-lasdon", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143699.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111468", "product_url": "/app/ecom/book/111468/optimization-theory-for-large-systems-111468-9780486143699-leon-s-lasdon", "bisac_codes": [ "MAT042000" ], "items_count": null, "identifiers": { "ISBN13": "9780486419992", "EISBN13": "9780486143699", "EISBN10": "0486143694" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010033478951" } } } }, { "type": "Product", "id": "00010000111467", "attributes": { "name": "Introduction to Matrices and Vectors", "subtitle": "", "description": "Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices including complex numbers, quaternion matrices, and matrices with complex entries and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving. Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.", "author": "Jacob T. Schwartz", "slug": "introduction-to-matrices-and-vectors-111467-9780486143705-jacob-t-schwartz", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143705.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111467", "product_url": "/app/ecom/book/111467/introduction-to-matrices-and-vectors-111467-9780486143705-jacob-t-schwartz", "bisac_codes": [ "MAT019000" ], "items_count": null, "identifiers": { "ISBN13": "9780486420004", "EISBN13": "9780486143705", "EISBN10": "0486143708" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026202385" } } } }, { "type": "Product", "id": "00010000111466", "attributes": { "name": "Elementary Matrix Algebra", "subtitle": "", "description": "This complete and coherent exposition, complemented by numerous illustrative examples, offers readers a text that can teach by itself. Fully rigorous in its treatment, it offers a mathematically sound sequencing of topics. The work starts with the most basic laws of matrix algebra and progresses to the sweep-out process for obtaining the complete solution of any given system of linear equations homogeneous or nonhomogeneous and the role of matrix algebra in the presentation of useful geometric ideas, techniques, and terminology.Other subjects include the complete treatment of the structure of the solution space of a system of linear equations, the most commonly used properties of determinants, and linear operators and linear transformations of coordinates. Considerably more material than can be offered in a one-semester course appears here; this comprehensive volume by Franz E. Hohn, Professor of Mathematics at the University of Illinois for many years, provides instructors with a wide range of choices in order to meet differing interests and to accommodate students with varying backgrounds.", "author": "Franz E. Hohn", "slug": "elementary-matrix-algebra-111466-9780486143729-franz-e-hohn", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143729.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111466", "product_url": "/app/ecom/book/111466/elementary-matrix-algebra-111466-9780486143729-franz-e-hohn", "bisac_codes": [ "MAT002000" ], "items_count": null, "identifiers": { "ISBN13": "9780486425344", "EISBN13": "9780486143729", "EISBN10": "0486143724" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026197204" } } } }, { "type": "Product", "id": "00010000111465", "attributes": { "name": "Theory of Thermal Stresses", "subtitle": "", "description": "Elevated temperatures and extreme temperature gradients arise in a large variety of engineering problems, and often produced thermal stresses and thermal deformations that crucially affect the life of the materials and the systems involved. Early examples arose with the advent of high-speed rocket-powered flight and the development of nuclear energy sources. More recent applications can be found in fields ranging from reentry heating and ablation in space flight to the localized heat generation in computer chips, produced by high temperature during fabrication and by high current density during service.This highly regarded text, aimed both at the researcher and the practicing engineer, as well as the student, presents a detailed discussion of fundamental aspects of the theory, accompanied by detailed solutions of typical and illustrative problems. The book is divided into four parts: Part I develops the fundamentals of thermoelasticity, starting with a presentation of the thermodynamic foundations of the subject and leading to various alternate formulations and methods of solutions of thermoelastic problems. Part II discusses the physical basis of heat transfer theory and methods of solution of heat conduction boundary-value problems. Part III covers more practical aspects of thermal stress analysis, mainly from the strength-of-materials viewpoint. Finally, Part IV presents the manner in which temperature effects can be included in inelasticity theory.The result is an extremely useful resource which presents the salient features of the subject in a single volume from a unified and basic theoretical point of view.", "author": "Bruno A. Boley, Jerome H. 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The two-part treatment begins with an overview that discusses the theory's historical evolution, followed by a development of related mathematical machinery. The presentation defines all needed concepts, states all necessary results, and provides relevant proofs.The second part opens with definitions of probabilistic metric spaces and proceeds to examinations of special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. Throughout, the authors focus on developing aspects that differ from the theory of ordinary metric spaces, rather than simply transferring known metric space results to a more general setting.", "author": "B. Schweizer, A. 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The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. \"An excellent text for a topics course in discrete mathematics.\" Bulletin of the American Mathematical Society.", "author": "Ian Anderson", "slug": "combinatorics-of-finite-sets-111463-9780486143712-ian-anderson", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143712.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111463", "product_url": "/app/ecom/book/111463/combinatorics-of-finite-sets-111463-9780486143712-ian-anderson", "bisac_codes": [ "MAT008000" ], "items_count": null, "identifiers": { "ISBN13": "9780486422572", "EISBN13": "9780486143712", "EISBN10": "0486143716" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026200566" } } } }, { "type": "Product", "id": "00010000111462", "attributes": { "name": "Elementary Decision Theory", "subtitle": "", "description": "\"The text is very clearly written [with] many illustrative examples and exercises [and] should be considered by those instructors who would like to introduce a more modern (and a more logical) approach in a basic course in statistics.\" Journal of the American Statistical AssociationThis volume is a well-known, well-respected introduction to a lively area of statistics. Professors Chernoff and Moses bring years of professional expertise as classroom teachers to this straightforward approach to statistical problems. And happily, for beginning students, they have by-passed involved computational reasonings which would only confuse the mathematical novice.Developed from nine years of teaching statistics at Stanford, the book furnishes a simple and clear-cut method of exhibiting the fundamental aspects of a statistical problem. Beginners will find this book a motivating introduction to important mathematical notions such as set, function and convexity. Examples and exercises throughout introduce new topics and ideas.The first seven chapters are recommended for beginning courses in the basic ideas of statistics and require only a knowledge of high school math. These sections include material on data processing, probability and random variables, utility and descriptive statistics, uncertainty due to ignorance of the state of nature, computing Bayes strategies and an introduction to classical statistics. The last three chapters review mathematical models and summarize terminology and methods of testing hypotheses. Tables and appendixes provide information on notation, shortcut computational formulas, axioms of probability, properties of expectations, likelihood ratio test, game theory, and utility functions.Authoritative, yet elementary in its approach to statistics and statistical theory, this work is also concise, well-indexed and abundantly equipped with exercise material. Ideal for a beginning course, this modestly priced edition will be especially valuable to those interested in the principles of statistics and scientific method.", "author": "Herman Chernoff, Lincoln E. 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These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. Beginning with a survey of the characteristic 19th-century view of analysis, the book proceeds to an examination of the 18th-century concept of calculus and focuses on the innovative methods of Cauchy and his contemporaries in refining existing methods into the basis of rigorous calculus. 1981 edition.", "author": "Judith V. Grabiner", "slug": "the-origins-of-cauchys-rigorous-calculus-111461-9780486143743-judith-v-grabiner", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143743.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111461", "product_url": "/app/ecom/book/111461/the-origins-of-cauchys-rigorous-calculus-111461-9780486143743-judith-v-grabiner", "bisac_codes": [ "MAT015000" ], "items_count": null, "identifiers": { "ISBN13": "9780486438153", "EISBN13": "9780486143743", "EISBN10": "0486143740" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026201199" } } } }, { "type": "Product", "id": "00010000111460", "attributes": { "name": "Modern Nonlinear Equations", "subtitle": "", "description": "Nonlinear equations have existed for hundreds of years; their systematic study, however, is a relatively recent phenomenon. This volume, together with its companion, Nonlinear Mathematics (Dover 64233-X), provides exceptionally comprehensive coverage of this recently formed area of study. It encompasses both older and more recent developments in the field of equations, with particular emphasis on nonlinear equations because, as Professor Saaty, maintains, \"that is what is needed today.\"Together the two volumes cover all the major types of classical equations (except partial differential equations, which require a separate volume). This volume includes material on seven types: operator equations, functional equations, difference equations, delay-differential equations, integral equations, integro-differential equations and stochastic differential equations. Special emphasis is placed on linear and nonlinear equations in function spaces and on general methods of solving different types of such equations.Above all, this book is practical. It reviews the variety of existing types of equations and provides methods for their solution. It is meant to help the reader acquire new methods for formulating problems. Its clear organization and copious references make it suitable for graduate students as well as scientists, technologists and mathematicians.\"...a welcome contribution to the existing literature...\" Math. Reviews.", "author": "Thomas L. Saaty", "slug": "modern-nonlinear-equations-111460-9780486143767-thomas-l-saaty", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143767.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111460", "product_url": "/app/ecom/book/111460/modern-nonlinear-equations-111460-9780486143767-thomas-l-saaty", "bisac_codes": [ "MAT007010" ], "items_count": null, "identifiers": { "ISBN13": "9780486642321", "EISBN13": "9780486143767", "EISBN10": "0486143767" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026198099" } } } }, { "type": "Product", "id": "00010000111459", "attributes": { "name": "Elementary Quantum Chemistry, Second Edition", "subtitle": "", "description": "As the author notes in the Preface to this valuable text, experimental chemists have moved past studying the average behavior of atoms or molecules \"to probe the step-by-step behavior of individual atoms and molecules as they collide, form 'transition states,' and ultimately form products.\" In such experiments, quantum mechanical computations do two useful tasks: They fill in the observational gaps and help to interpret what has been observed.This introductory course developed by the former chairman of the chemistry department at the University of New Hampshire covers, among other topics, the origins of the quantum theory, the Schrodinger wave equation, the quantum mechanics of simple systems, the rigid rotator, the hydrogen atom, electron spin and many-electron systems, the quantum states of atoms, the Hartree-Fock self-consistent field method, the electronic structure of molecules, and semi-empirical molecular orbital methods. 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Thomas", "slug": "games-theory-and-applications-111458-9780486143736-l-c-thomas", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143736.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111458", "product_url": "/app/ecom/book/111458/games-theory-and-applications-111458-9780486143736-l-c-thomas", "bisac_codes": [ "MAT011000" ], "items_count": null, "identifiers": { "ISBN13": "9780486432373", "EISBN13": "9780486143736", "EISBN10": "0486143732" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026192437" } } } }, { "type": "Product", "id": "00010000111457", "attributes": { "name": "An Introduction to the Theory of the Boltzmann Equation", "subtitle": "", "description": "Boltzmann's equation (or Boltzmann-like equations) appears extensively in such disparate fields as laser scattering, solid-state physics, nuclear transport, and beyond the conventional boundaries of physics and engineering, in the fields of cellular proliferation and automobile traffic flow. This introductory graduate-level course for students of physics and engineering offers detailed presentations of the basic modern theory of Boltzmanns equation, including representative applications using both Boltzmanns equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory, and it represents a practical resource for researchers and other professionals. The problems following each chapter are intended as learning examples, and they frequently extend and generalize the text material. Additional editorial features include a historical introduction, references, and subject and author indexes. 1971 edition.", "author": "Stewart Harris", "slug": "an-introduction-to-the-theory-of-the-boltzmann-equation-111457-9780486143828-stewart-harris", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143828.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111457", "product_url": "/app/ecom/book/111457/an-introduction-to-the-theory-of-the-boltzmann-equation-111457-9780486143828-stewart-harris", "bisac_codes": [ "SCI065000" ], "items_count": null, "identifiers": { "ISBN13": "9780486438313", "EISBN13": "9780486143828", "EISBN10": "0486143821" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026202267" } } } }, { "type": "Product", "id": "00010000111456", "attributes": { "name": "Optics and Optical Instruments", "subtitle": "An Introduction", "description": "This book illustrates basic practical applications of optical principle. 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He also includes a number of experiments to illustrate theoretical principles such as the reflection and refraction of light and focal length measurements of concave and convex lenses.A chapter on the human eye follows, and the author explains how to set up a simple working model of the eye in order to illustrate myopia, astigmatism, hypermetropia, and the visual acuity of the eye. Professor Johnson concludes with an important chapter on the working and testing of optical glass, in which he describes the roughing of lenses, the principles of the grinding and polishing processes, abrasives, edging, angle measurement, and other important steps in the production of optical glass. 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The mathematical basis of the theory is therefore explained with a minimum of technicalities, although some knowledge of the calculus of variables is assumed.Thom's now-famous list of seven elementary catastrophes, broadly classifying various types of discontinuous change, is elucidated, as are the reasons for its appearance. Nearly half the book concentrates on detailed applications of the theory, emphasizing its uses in the physical sciences where applications can be made quantitative and can be experimentally verified. The more controversial and speculative applications to areas in the social sciences are also mentioned, but not discussed in detail.Over 200 illustrations help clarify the ideas and applications in this volume, which will be of interest to researchers and postgraduate students in such diverse disciplines as engineering, mathematics, physics, and biology. 1978 edition. Bibliography.", "author": "Tim Poston, Ian Stewart", "slug": "catastrophe-theory-and-its-applications-111455-9780486143781-tim-poston-ian-stewart", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486143781.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "111455", "product_url": "/app/ecom/book/111455/catastrophe-theory-and-its-applications-111455-9780486143781-tim-poston-ian-stewart", "bisac_codes": [ "MAT029000" ], "items_count": null, "identifiers": { "ISBN13": "9780486692715", "EISBN13": "9780486143781", "EISBN10": "0486143783" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026201738" } } } } ], "meta": { "pagination": { "page": 77218, "pages": 78372, "count": 1567437 } } }
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