Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    The Architecture of Happiness starts from the idea that where we are heavily influences who we can be, and it argues that it is architecture's task to stand as an eloquent reminder of our full potential.Whereas many architects are wary of openly discussing the word beauty, this book has at its center the large and naïve question: What is a beautiful building? It is a tour through the philosophy and psychology of architecture that aims to change the way we think about our homes, our streets and ourselves.

    While paintings of Picasso and Jackson Pollock sell for a hundred million dollars or more, and lines from T. S. Eliot are quoted on the yearbook pages of alienated teenagers across the land, twentieth-century classical music still sends ripples of unease through audiences. At the same time, its influence can be felt everywhere. Atonal chords crop up in jazz. Avant-garde sounds populate the soundtracks of Hollywood thrillers. Minimalism has had a huge effect on rock, pop, and dance music from the Velvet Underground onward.The Rest Is Noise shows why twentieth-century composers felt compelled to create a famously bewildering variety of sounds, from the purest beauty to the purest noise. It tells of a remarkable array of maverick personalities who resisted the cult of the classical past, struggled against the indifference of a wide public, and defied the will of dictators. Whether they have charmed audiences with sweet sounds or battered them with dissonance, composers have always been exuberantly of the present, defying the stereotype of classical music as a dying art. The narrative goes from Vienna before the First World War to Paris in the twenties, from Hitler's Germany and Stalin's Russia to downtown New York in the sixties and seventies. We follow the rise of mass culture and mass politics, of dramatic new technologies, of hot and cold wars, of experiments, revolutions, riots, and friendships forged and broken. The end result is not so much a history of twentieth-century music as a history of the twentieth century through its music.

    

    Work in the spirit of the laws of attraction to visualize the life of your dreams. Follow the journey of twelve artists, each who will set a personal dream or intention. Witness the process that each artist takes, as they create a mixed-media piece that sows the seeds of their intention. Step-by-step techniques for a variety of mixed-media processes accompany each piece of finished art. Read about how their lives changed as a result and learn how to set intentions of your own using the bonus tear-out "dream-prompt" cards.

    Both a practical guide and a great source of inspiration, The Monocle Guide to Cosy Homes presents the interiors, furniture, and locations you need to know about along with portraits of the people who can make it happen. The Monocle Guide to Cosy Homes celebrates the durable and the meaningful through a collection of homes that tell a story. Most architecture and interior books show houses polished to perfection, manicured to the extent that it is hard to imagine anybody acually lives there: they seem to miss the point that homes are meant to be inhabited. They should be able to take the scuffs and knocks and to be part of a community, whether in a Chicago skyscraper or on Australia's sunshine coast. So where are the best places to make a home? What are the villages, coastlines, mountains, towns, and cities that would make you want to settle down? The Monocle Guide to Cosy Homes answers those questions with a global photographic survey of a wide variety of homes. Whether the focus is on a remote residence in the Swedish archipelago or a lush abode in Rio de Janeiro, or on the difference between residing in Tokyo and Toronto, this book is the perfect balance between the inspirational and the practical. The book is a survey of everything you need to know to build the residence of your dreams, providing insight into the best neighborhoods, architects, and makers all over the world. From design-store owners to green-roof gardeners, The Monocle Guide to Cosy Homes introduces you to interesting people with ideas that are built to last. Monocle's signature illustrations punctuate the book's rich and detailed content. Through striking photography, The Monocle Guide to Cosy Homes also gives you a glimpse into the lives that unfold in these apartments, villas, and cottages, showing that these homes are alive and that this is precisely what makes them special. This is a book that should be referred to again and again--it is a book about the quality of life.

    Escher, I am absolutely crazy about your work. In your print Reptiles you have given such a striking illustration of reincarnation.' I replied, 'Madame, if that's the way you see it, so be it, '" An engagingly sly comment by the renowned Dutch graphic artist Maurits Cornelis Escher (1898-1972)--the complex ambiguities of whose work leave hasty or single-minded interpretations far behind. Long before the first computer-generated 3-D images were thrilling the public, Escher was a master of the third dimension. His lithograph "Magic Mirror" dates as far back as 1946. In taking that title for this book, mathematician Bruno Ernst is stressing the magic spell Escher's work invariably casts on those who see it. Ernst visited Escher every week for a year, systematically talking through his entire oeuvre with him. Their discussions resulted in a friendship that gave Ernst intimate access to the life and conceptual world of Escher. Ernst's account was meticulously scrutinized and made accurate by the artist himself. Escher's work refuses to be pigeonholed. Scientific, psychological, or aesthetic criteria alone cannot do it justice. The questions remain. Why did he create the pictures? How did he construct them? What preliminary studies were necessary before he could arrive at the final version? And how are the various images Escher created interrelated? This book, complete with biographical data, 250 illustrations, and explications of mathematical problems, offers answers to these and many other questions, and is an authentic source text of the first order.

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    This volume highlights the research and findings of this natural scientist. Powerful modern microscopes have confirmed the accuracy of Haeckel's prints, which even in their day, became world famous. Haeckel's portfolio, first published between 1899 and 1904 in separate installments, is described in the opening essays. The plates illustrate Haeckel's fundamental monistic notion of the -unity of all living things- and the wide variety of forms are executed with utmost delicacy. Incipient microscopic organisms are juxtaposed with highly developed plants and animals. The pages, ordered according to geometric and -constructive- aspects, document the oness of the world in its most diversified forms. This collection of plates was not only well-received by scientists, but by artists and architects as well. Rene Binet, a pioneer of glass and iron constructions, Emile Galle, a renowned Art Nouveau designer, and the photographer Karl Blossfeld all make explicit reference to Haeckel in their work.

    A basic idea that proved elusive for hundreds of years and bent the minds of the greatest thinkers in the world, the algorithm is what made the modern world possible. Without the algorithm, there would have been no computer, no Internet, no virtual reality, no e-mail, or any other technological advance that we rely on every day.In The Advent of the Algorithm, David Berlinski combines science, history, and math to explain and explore the intriguing story of how the algorithm was finally discovered by a succession of mathematicians and logicians, and how this paved the way for the digital age. Beginning with Leibniz and culminating in the middle of the twentieth century with the groundbreaking work of Gödel and Turing, The Advent of the Algorithm is an epic tale told with clarity and imaginative brilliance.

    Harmonograph is an introduction to the evolution of simple harmonic theory, from the discoveries of Pythagoras to diatonic tuning and equal temperament. Beautiful drawings show the octave as triangle, the fifth as pentagram; diagrams show the principles of harmonics, overtones, and the monochord. Anthony Ashton examines the phenomenon of resonance in Chladni patterns, describes how to build a harmonograph of your own, and provides tables of world tuning systems. This inspiring book will appeal to musicians, mathematicians, designers, and artists alike.

    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

    This new, revised and extended edition of this seminal work will not only inspire architects and students to design more holistic architecture, but will enrich the general reader's perception of the world around them. The Eyes of the Skin has become a classic of architectural theory and consists of two extended essays. The first surveys the historical development of the ocular-centric paradigm in western culture since the Greeks, and its impact on the experience of the world and the nature of architecture. The second examines the role of the other senses in authentic architectural experiences, and points the way towards a multi-sensory architecture which facilitates a sense of belonging and integration.

    40 illustrations throughout.

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.