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Compelling photographs offer a vivid and varied tableau of daily life: shoppers, subways, Central Park, Coney Island, dozens of other revealing views of the city. 159 photographs by Lehnartz.

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A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics.In the 18th and 19th centuries, the theorists who devoted themselves to this field  pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel  were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest.Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics.Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations.Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these  the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.

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Master magicians of their time, Hatton and Plate recorded in this book  which they wrote in 1910  solutions to problems that seemed unsolvable. Indispensible to today's amateur and professional magicians, the how-to manual explains 140 tricks performed with cards, coins, balls, eggs, handkerchiefs, and other common household items. 194 black-and-white illustrations.

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A Short History of Science to the Nineteenth Century

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Driven by an unquenchable thirst, the human spirit seeks an explanation of the world. In this fascinating study, a noted historian of science traces the course of the ceaseless yearning for answers across two and a half millennia and chronicles, in simple form, the development of the idea of a rational and interconnected material world. This account begins with the earliest recordings of true science among the Ionian Greeks and proceeds to detail the development of unitary systems of thought among Plato, Aristotle, the Stoics, and others. Examinations of the science of imperial Rome  including Roman mathematics, astronomy, physics, and calendarial science  give rise to the science of the Middle Ages and the influence of Scholasticism, the rise of humanism, and the reawakened scientific spirit of the early Renaissance. These developments in turn led to the downfall of Aristotelian science in the seventeenth century, the Galilean revolution, Newtonian mathematical physics, and finally, the enthronement of determinism in the eighteenth and nineteenth centuries. Profusely illustrated with maps and diagrams, this comprehensive yet concise volume offers an absorbing, readable history of science up to the dawn of the modern era.

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In 1806, when Bemiss's Dyer's Companion first appeared, the American dyeing industry was beset with problems; Europe was trying to maintain control of the market, and American dyers were often undertrained with recipes selling from master to apprentice "for twenty and thirty dollars each." To remedy this situation, Elijah Bemiss wrote his book. Today Bemiss's work is still important for seeing the exact methods of natural dyeing and understanding the life of the dyer in the early nineteenth century.This is the complete reprinting of the 1815, greatly expanded, edition. In it the reader can find dye recipes for all shades and varieties of reds, blues, yellows, browns, and blacks divided into dyes for woolens and dyes for linens and cottons, with examples of dyes for both hot and cold dye processes. The early sections give some 119 detailed recipes, the outcome of Bemiss's study and experimentation, and nearly all the dyes the home dyer could want to use. In the second part, the appendix added to the 1815 edition, Bemiss gives more information on setting up vats, on equipment and tools, on the reasons why certain dye materials and methods were chosen, on European methods, and on the differences between the greater and the lesser dyes. A final section gives recipes for inks, dyes for feathers, miracle cures, recipes for beer and mead and other curiosities in the early dyer's repertoire. A new introduction has been written for this Dover edition by Rita J. Adrosko, Curator of the Division of Textiles at the Smithsonian Institution and author of Natural Dyes and Home Drying.Those who have wanted to use natural dyes will find that after they have learned the essentials, they can use this book to extend their list of useful dyes and colors. The book will also be of interest to all who want to know more about early American craft traditions. It allows you to see the materials, the equipment, and the way of life of one of the most important craftsmen in the early years of the American republic.

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Warfare in the Roman Empire and the Middle Ages

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Comprehensive study of armed conflict, based on contemporary accounts and accompanied by illustrations and maps from rare sources, vividly describes dramatic changes in the art of war over 1,500 years  from Roman rule through 565 AD, to war tactics during the Crusades. Fighting methods, supply systems, tactical organization, and more. 15 black-and-white illustrations.

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Mathematical Methods in Physics and Engineering

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Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.

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Among the glories of world architecture, Islamic mosques and palaces  from Spain to Egypt and other parts of the Middle East  are universally studied and admired. This profusely illustrated introduction to that subject gives a lively account of the style of structures symbolized by domed mosques, mosaic-lined arcades, and filigreed interiors.A brief, scholarly essay, followed by drawings, maps, and photographs of excellent quality, contrasts  among other buildings  the airy internal ornamentation and almost elegant sensuality of Spain's Alhambra with the austerity of Egypt's Mosque of Ibn Tulun, both of which, in turn, are compared to the monumental Ottoman mosques built in Turkey.One of the most useful reference tools for studying architecture of the Islamic world, this "remarkably lucid survey ... will be particularly valuable in high school and college libraries."  Best Sellers.

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Because women in ancient Japan enjoyed high status, they were well-educated and reasonably independent. They also produced much of the country's best literature. Three of these amazing ladies wrote these diaries, among them the highly skilled writer Murasaki Shikibu (ca. 973-1025 a.d.). A lady-in-waiting to the Japanese Empress, she became very adept at observing the daily activities and attitudes of the upper classes. Her diary is a remarkable record of events staged with rare and exquisite taste. The Sarashina Diary, filled with an appreciation of nature, begins with a nine-year-old girl's dreams and ends with the grown woman's account of her husband's funeral (1009-1059 a.d.). Izumi Shikibu's diary is a delicately written work, with poetic thoughts characteristic of the lady's shy reserve. Brimming with poetry and understated social observations, all three provide an extraordinary glimpse of court life in old Japan. Unabridged republication of the edition originally published by Houghton Mifflin Company, Boston and New York, 1920. 2 color illustrations. 12 black-and-white illustrations. Appendix.

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Recapture Art Nouveau! This book provides one hundred outstanding Art Nouveau type fonts in one easy-to-use volume. Altogether, they include one hundred sets of capital letters, seventy-five lowercase sets, ninety sets of numbers and special symbols, and twenty ornamental designs. The accent is on beauty, while the designs take on a diversity of formorganic, medieval-styled, elegantly cursive, strikingly bold, script inspired, pastoral, gothic, posteresque, Japanesque, fairy-tale flowing. The names themselves are a key to the alphabets' vitality and versatilityAegean, Ambrosia, Auriol, Baldur, Boomerang, Cabaret, Chloris, Cordova, Franconia, Freddy, Grange, Hoffman, Legrand, Limbo, Metropolitan, Morris Black, Phyllis Initials, Quill Penscript, Roycroft, Salem, Siegfried, Skjald, Titania, Utrillo, Virile, Zorba Half Solid, and many more. There are several variations on the most popular Art Nouveau styles, allowing you to find those that exactly fit your needs. Use these faces for posters, menus, signs, greeting cards, book jackets, and title pages, packaging and advertising design, point-of-purchase displays, quality craft work and needlework, and any other projects that call for unique, powerful, and beautiful alphabetic design.

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This book is an introduction to the geometry of Euclidean, affine, and projective spaces with special emphasis on the important groups of symmetries of these spaces. The two major objectives of the text are to introduce the main ideas of affine and projective spaces and to develop facility in handling transformations and groups of transformations. Since there are many good texts on affine and projective planes, the author has concentrated on the n-dimensional cases.Designed to be used in advanced undergraduate mathematics or physics courses, the book focuses on "practical geometry," emphasizing topics and techniques of maximal use in all areas of mathematics. These topics include:Algebraic and Combinatoric PreliminariesIsometries and SimilaritiesAn Introduction to CrystallographyFields and Vector SpacesAffine SpacesProjective SpacesSpecial features include a spiral approach to symmetry; a review of the algebraic prerequisites; proofs which do not appear in other texts, such as the Polya-Burnside theorem; an extensive bibliography; and a large collection of exercises together with suggestions for term-paper topics. In addition, special emphasis is placed on the geometric significance of cosets and conjugates in a group.

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Compiled by noted typographer and type historian Dan X. Solo, this attractive collection of royalty-free lettering for commercial artists features 100 complete upper-case stencil alphabets (many with lower-case fonts, numerals, and punctuation marks).Included are such magnificent classic fonts as Ancient, Courtland, and Cleft Gothic; whimsical Ragtime and Spooks Alive; bold Braggadocio; exotic Limbo, Beijing, and Samoa; and old-fashioned Victorian, Brompton, and Barn stencils. Graphic artists can also add to their resource libraries such varied, attention-getting styles as: Auriol; Bigelow; Cabaret; Copely Plaza; Dawson; Edda; Grocers; Lira; Neutron; Sheetsteel; Avanti; Billboard; Cairo; Cuba; Dockside; Elephant; Cycle; Sagamore; Technic and dozens more. Distinctive, versatile, and appropriate for a host of visuals, the stencil patterns in this comprehensive, moderately priced sourcebook are immediately usable on posters, signs, stationery, advertisements, and other graphic projects.

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This is the complete book of marionette craft  from making heads and constructing bodies to stringing the marionettes on one- and two-hand controls, operating the marionettes, and putting on your own shows. Four books by Helen Fling have been brought together to make this volume. Their wealth of illustrations, tricks, helpful hints and solid, easy-to-follow advice will go far toward making your performances successful, enjoyable, and creative.In the first section, full details are given on making puppet and marionette heads  creating them, molding them, casting them, making them out of plastic wood and papier-mache, painting them, and adding character details such as noses and wigs. The second section tells, in equal detail, how to make hands, feet, legs, arms, and bodies with a variety of methods for joining the parts together, taping, painting, finishing, and placing screw-eyes for mechanical perfection. The third section shows how to construct marionette controls, how to string your marionettes, and how to manipulate your controls for the movements, postures, gestures, and tricks. Costume and character details are also covered. By the end of this section both you and your characters should be ready to perform. The final section covers the details of marionette show production  building a stage, lighting, scenery, sound effects, curtain-drops, and presentation. One complete play, with full details on stage props, marionettes, and background, is included. More than 400 helpful illustrations show every step of marionette craft from conception and construction to performance.Beginners will find this book to contain everything they need to know to construct marionettes and present their own shows. Puppeteers will find the chapter on head-making equally suited to their craft. Those who have some experience with marionettes will find the sections on tricks, alternate procedures, and professional methods to greatly increase their abilities to build marionettes and create a variety of new effects and successful marionette performances.

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This survey begins with the prehistoric period, then discusses the major currents of Chinese history, philosophy, culture and politics  from the reigns of such dynastic rulers as the Shang to the era of Mongol conquests and the Manchu dynasties, culminating with the birth of the Chinese Republic in 1912. 17 maps, 24 illustrations.

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In this collection of original puzzles, games, and codes, the heroic Dr. Ecco, a mathematical detective and puzzle solver, takes on his archenemy, Baskerhound, and uncovers a plot that threatens the world. No sophisticated mathematical background is necessary to solve these challenges, which were inspired by the methods and thinking of researchers in computer science and mathematics. All you need is imagination and a passion for puzzles.A graduate of Yale, author Dennis Shasha received his Ph.D. from Harvard and is Associate Professor of Computer Science at the Courant Institute of Mathematical Sciences at New York University. He includes complete solutions at the end of the book, and has rated the puzzles according to difficulty.

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Lavishly illustrated history of Chinese floral art provides practical suggestions for applying traditional methods to modern settings. Features include: selecting flowers for symbolic qualities and beauty, complementing an arrangement with an appropriate vase and accessories, plus 42 illustrations that span centuries of Chinese paintings, prints, tapestries, porcelains.

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Rich selection of 100 practice problems  with hints and solutions  for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

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Dore's Illustrations for the Fables of La Fontaine

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At the age of 16, Gustave Dore was the highest-paid illustrator in France. Twenty years later, in 1868, at the peak of his artistic genius, he produced magnificent illustrations for Jean de La Fontaine's witty and high polished Fables  poems and timeless tales with charming images of country folk and animal life, as well as heroes from Greek mythology and creatures from fables by Aesop. This collection includes all 84 full-page plates plus 39 vignettes from a rare, early edition and includes, among others, scenes from "The Wolf and the Lamb," "The Lion and the Gnat," "The Hare and the Tortoise," and "Ulysses' Companions."

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Country and Suburban Houses of the Twenties

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Reprint of rare book contains scores of illustrations and floor plans for 80 charming American homes, among them a spacious Pennsylvania fieldstone colonial; a modest, three-bedroom suburban bungalow; and an artist's two-story studio/residence in California. An invaluable primary reference for architects and students of architectural history. 104 black-and-white illustrations.

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Firsthand Accounts by Powell and His Crew

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When geologist Powell and his party of explorers first assayed the Colorado in 1869, it was North America's longest stretch of uncharted river. This is the story of that three-month, thousand-mile excursion, told in the words of the men who negotiated and mapped the river, through their journals, accounts, and letters. Black-and-white illustrations.