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This anthology commemorates the 150th anniversary of the American Civil War with reflections from both sides of the conflict. Compiled by an expert in the literature of the era, the poems and short stories appear in chronological order. They trace the war's progress and portray a gamut of moods, from the early days of eagerness to confront the foe to long years of horror at the ongoing carnage and sad relief at the struggle's end.Selections include the poetry of Walt Whitman, John Greenleaf Whittier, and Henry Wadsworth Longfellow; observations by Herman Melville and Louisa May Alcott; and noteworthy fiction by Ambrose Bierce ("An Occurrence at Owl Creek Bridge") and Mark Twain ("A True Story, Repeated Word for Word, As I Heard It"). Lesser-known writers, many of them anonymous, offer heartfelt testimonials and eyewitness accounts from battlefields and the homefront.

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Intuitive Concepts in Elementary Topology

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Classroom-tested and much-cited, this concise text offers a valuable and instructive introduction for undergraduates to the basic concepts of topology. It takes an intuitive rather than an axiomatic viewpoint, and can serve as a supplement as well as a primary text.A few selected topics allow students to acquire a feeling for the types of results and the methods of proof in mathematics, including mathematical induction. Subsequent problems deal with networks and maps, provide practice in recognizing topological equivalence of figures, examine a proof of the Jordan curve theorem for the special case of a polygon, and introduce set theory. The concluding chapters examine transformations, connectedness, compactness, and completeness. The text is well illustrated with figures and diagrams.

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Introduction to Matrices and Linear Transformations

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This versatile undergraduate text can be used in a variety of courses in linear algebra. It contains enough material for a two-semester course, and it also serves as a support text and reference. Chapter Ten, on linear programming, will be of special interest to students of business and economics. A balanced combination of formal theory and related computational techniques, this treatment begins with the familiar problem of solving a system of linear equations. Subsequent chapters explore linear spaces and mappings, matrices, determinants, inner product spaces, scalar-valued functions, and linear differential equations. The author introduces metric notions of Euclidean space at an early stage and employs the computational technique of Gaussian elimination throughout the book. Solutions to selected exercises appear at the end.

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Ingenious Mathematical Problems and Methods

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For two decades, an international readership of workers in applied mathematics submitted their favorite puzzles to a mid-twentieth-century column, The Graham Dial. This original collection features 100 of the publication's very best problems, with themes ranging from logic and engineering situations to number theory and geometry. Each problem was specifically selected for its widely differing modes of solution, and most include several methods of solution plus assessments of their efficacy.In checking their solutions against the book's, readers may find that their interest in the puzzles increases. The search for an answer can develop into a challenge to improve upon existing solutions, as in a friendly competition among dozens of keen-witted, problem-solving engineers and mathematical puzzle fans. More than two dozen "mathematical nursery rhymes" appear throughout the book, which concludes with a final section of 25 "quickies" that will test readers' speed.

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Imported from China during the eighth century, the chrysanthemum has long served as the official flower of Japan. The Japanese monarchy is known as the Chrysanthemum Throne, and the exquisite blossom is widely revered as a symbol of longevity, dignity, and nobility. This volume, reproduced from a rare and expensive publication, features more than 120 color woodblock images of the lovely perennials. Those with an interest in Japanese art and floral design will find it a rich archive of royalty-free illustrations as well as an abundant source of inspiration.

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Introduction to Modern Algebra and Matrix Theory

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This unique text provides students with a single-volume treatment of the basics of calculus and analytic geometry. It reflects the teaching methods and philosophy of Otto Schreier, an influential mathematician and professor. The order of its presentation promotes an intuitive approach to calculus, and it offers a strong emphasis on algebra with minimal prerequisites.Starting with affine space and linear equations, the text proceeds to considerations of Euclidean space and the theory of determinants, field theory and the fundamental theorem of algebra, elements of group theory, and linear transformations and matrices. Numerous exercises at the end of each section form important supplements to the text.

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O. Schreier, E. Sperner, Melvin Hausner, Martin David

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"Game theory is an intellectual X-ray. It reveals the skeletal structure of those systems where decisions interact, and it reveals, therefore, the essential structure of both conflict and cooperation."  Kenneth BouldingThis fascinating and provocative book presents the fundamentals of two-person game theory, a mathematical approach to understanding human behavior and decision-making, Developed from analysis of games of strategy such as chess, checkers, and Go, game theory has dramatic applications to the entire realm of human events, from politics, economics, and war, to environmental issues, business, social relationships, and even "the game of love." Typically, game theory deals with decisions in conflict situations.Written by a noted expert in the field, this clear, non-technical volume introduces the theory of games in a way which brings the essentials into focus and keeps them there. In addition to lucid discussions of such standard topics as utilities, strategy, the game tree, and the game matrix, dominating strategy and minimax, negotiated and nonnegotiable games, and solving the two-person zero-sum game, the author includes a discussion of gaming theory, an important link between abstract game theory and an experimentally oriented behavioral science. Specific applications to social science have not been stressed, but the methodological relations between game theory, decision theory, and social science are emphasized throughout.Although game theory employs a mathematical approach to conflict resolution, the present volume avoids all but the minimum of mathematical notation. Moreover, the reader will find only the mathematics of high school algebra and of very elementary analytic geometry, except for an occasional derivative. The result is an accessible, easy-to-follow treatment that will be welcomed by mathematicians and non-mathematicians alike.

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Circuits, Matrices and Linear Vector Spaces

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This high-level undergraduate text explains the mathematics behind basic circuit theory. Its self-contained treatment covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems. A development of the mathematics of matrix algebra and determinants is followed by the application of matrix techniques to a general discussion of circuits. Subsequent topics include the properties of active and passive two-port devices, the basic theory of linear vector spaces, and the natural frequencies of a network. Appendixes cover the indefinite-transfer matrix, gyrators with complex gyration admittance, and network transformations. A wealth of equations and calculation problems appear throughout the text.

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Canon of the Five Orders of Architecture

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One of history's most published architectural treatises, this Renaissance volume solidified the architectural canon of the past five centuries. In these pages, the distinguished architect known as Vignola identified the five orders  Tuscan, Doric, Ionic, Corinthian, and Composite  and illustrated them in full-page elevational detail.Vignola's engravings have been copied countless times since their original publication in 1562. The clear images with brief captions constitute a practical rather than theoretical work, offering even lay readers a system of tools that provide accurate proportions. An essential reference for professional architects, this book has guided generations of architects, including those who rebuilt London after the Fire of 1664. This new edition features an Introduction by architectural historian David Watkin.

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Giacomo Barozzi da Vignola, David Watkin, John Leeke

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An Introduction to Functional Programming Through Lambda Calculus

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Functional programming is rooted in lambda calculus, which constitutes the world's smallest programming language. This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. The treatment is as nontechnical as possible, and it assumes no prior knowledge of mathematics or functional programming. Cogent examples illuminate the central ideas, and numerous exercises appear throughout the text, offering reinforcement of key concepts. All problems feature complete solutions.

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231 Examples from Books, Magazines and Advertising Art

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Rockwell Kent (1882-1971) was probably the most important American book illustrator of the 1920s and '30s. Today there is a revival of interest in his illustrations, and this volume brings together for the first time the best of his illustrations from 24 books, as well as magazine art, bookplates, and advertising material--231 examples in all. Many of his most famous illustrations are included, with several selections each from Candide (1928), Moby Dick (1930), The Canterbury Tales of Geoffrey Chaucer (1930), Salamina (1935), The Complete Works of William Shakespeare (1936), and Goethe's Faust (1941), among others. Illustrations for lesser-known works such as A Basket of Poses (1924), Venus and Adonis (1931), and To Thee, America! (1946) are also reproduced. The entire collection is dominated by Kent's highly individual style of formalized realism and by his well-known subject matter--heroic, or sensual, male and female figures and dramatic scenes of nature, usually in a far-off wilderness. Concentrating on the exceptional works of the '20s and '30s, the volume does include some early material from 1914 and 1915, and a selection of later work from the 1940s and from Rockwell Kent's Greenland Journal (1963). Fridolf Johnson, for many years editor of The American Artist and a respected designer, has written a new introduction tracing Kent's development as an illustrator, captions for the illustrations, and an annotated bibliography of the works represented. The illustrations have been selected by Fridolf Johnson with the collaboration of John F. H. Gorton, Director, The Rockwell Kent Legacies.

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Introduction to Abstract Harmonic Analysis

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This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

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This fascinating anthology commemorates the 150th anniversary of the Civil War with heartfelt letters by Union and Confederate sympathizers and soldiers of all ranks. Authentic illustrations accompany insightful missives by Lincoln, several generals (including Grant, Lee, Butler, Jackson, and Sherman), Walt Whitman, Jefferson Davis, and many of their contemporaries.

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Introduction to Differential Geometry for Engineers

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This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers.The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

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This newly corrected, highly acclaimed text offers intermediate-level juniors and first-year graduate students of physics a rigorous treatment of classical electromagnetics. The authors present a very accessible macroscopic view of classical electromagnetics that emphasizes integrating electromagnetic theory with physical optics. The survey follows the historical development of physics, culminating in the use of four-vector relativity to fully integrate electricity with magnetism.Starting with a brief review of static electricity and magnetism, the treatment advances to examinations of multipole fields, the equations of Laplace and Poisson, dynamic electromagnetism, electromagnetic waves, reflection and refraction, and waveguides. Subsequent chapters explore retarded potentials and fields and radiation by charged particles; antennas; classical electron theory; interference and coherence; scalar diffraction theory and the Fraunhofer limit; Fresnel diffraction and the transition to geometrical optics; and relativistic electrodynamics. A basic knowledge of vector calculus and Fourier analysis is assumed, and several helpful appendices supplement the text. An extensive Solutions Manual is also available.

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An Introduction to Differential Geometry

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A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry.Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.

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Complex Integration and Cauchy's Theorem

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This brief monograph by one of the great mathematicians of the early twentieth century offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications of the theorem to the evaluation of definite integrals.Author G. N. Watson begins by reviewing various propositions of Poincare's Analysis Situs, upon which proof of the theorem's most general form depends. Subsequent chapters examine the calculus of residues, calculus optimization, the evaluation of definite integrals, and expansions in series. A historical summary concludes the text, which is supplemented by numerous challenging exercises.

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The Influence of Bones and Muscles on Form

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A thorough acquaintance with human anatomy is a valuable asset for artists wishing to master figure drawing. This single-volume treatment combines two separate treatises on drawing muscles and bones to create an invaluable reference work.. Each page features multiple illustrations, accompanied by extensive commentary. The text describes the placement and function of bones and muscles and offers lucid explanations of their artistic renderings.Artist and teacher Walter T. Foster self-published many world-renowned art instruction books. Students of figure drawing and anatomy will appreciate his well-illustrated discourses on the realistic portrayal of the human body and his head-to-toe depictions of individual bones and muscles and their collective action.

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Graced with color illustrations of Asian art treasures, this gift edition of the world's earliest and most prestigious military treatise covers principles of strategy, tactics, maneuvers, and other ever-relevant topics. Required reading in many military institutions, its ancient wisdom offers many modern applications to business, law, and sports. "There's not a dated maxim or vague prescription in it."  Newsweek.

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Practically all modern control systems are based upon microprocessors and complex microcontrollers that yield high performance and functionality. This volume focuses on the design of computer-controlled systems, featuring computational tools that can be applied directly and are explained with simple paper-and-pencil calculations. The use of computational tools is balanced by a strong emphasis on control system principles and ideas. Extensive pedagogical aids include worked examples, MATLAB macros, and a solutions manual (see inside for details).The initial chapter presents a broad outline of computer-controlled systems, followed by a computer-oriented view based on the behavior of the system at sampling instants. An introduction to the design of control systems leads to a process-related view and coverage of methods of translating analog designs to digital control. Concluding chapters explore implementation issues and advanced design methods.