Triangles, circles, squares. To most of us, these are just simple shapes. But in the imaginations of Lulu and Max, these shapes found in a box take on exciting new meanings. What will you see?
A line is thin. A line is narrow?curved like a worm, straight as an arrow. Squares, circles, triangles, and many more shapes abound in this lively book. With jaunty, rhyming text, young readers are in
Raise megacities before your very eyes in this unique and entertaining coloring book. Let the colored dots guide you as you fill in the squares and uncover towering skyscrapers or beautiful city squar
Puzzles and mysteries have delighted humanity for thousands of years, from the ancient Riddle of the Sphinx, through to Latin squares found in Roman ruins, and right up to the present day. This intrig
The Ragozin is an ideal system against 1.d4: Black establishes a foothold in the centre and quickly develops his pieces on active squares, with good chances for dynamic counterplay or a kingside attac
Breathe life into space-age robots in this unique and entertaining coloring book. Let the colored dots guide you as you fill in the squares and uncover amazing androids from workers to pets. Read abou
For over forty years, choosing a statistical model thanks to data consisted in optimizing a criterion based on penalized likelihood (H. Akaike, 1973) or penalized least squares (C. Mallows, 1973). The
Tita Giese (b. Nördlingen, 1942; lives and works in Düsseldorf) realizes vegetal landscapes in public settings—urban squares, intersections, and gardens around architectural structures
A cute board book that teaches basic shapes with colorful, appealing, everyday items!Squares, squares everywhere, from a soft pillow to a delicious cookie to building blocks to play with! Each cheerfu
An artist examines the plethora of Europe Squares, Europa Places, Places de l'Europe, and Europaplatzes and what they tell us about the ideality of "Europe."If the built environment is a record of our
Dig out scraps, stash and precuts to make more than a dozen string quilt projects designed by Mary M. Hogan. Learn to make a variety of string block designs including diagonal squares, diamonds, circl
What were Socialist Spaces? The Eastern Bloc produced distinctive spaces, some of which were fashioned from ideological templates, such as the monumental parade grounds and Red Squares where communist
This motley collection features more than 100 puzzles involving coin tricks, chess problems, magic squares, and a host of other intriguing scenarios. Minimal mathematical knowledge required. Includes
From circles and squares to hearts and hexagons, explore different shapes with A Starfish. Boxer Concepts are perfect first books for the very young. Each stunning book invites toddlers to explore bas
"Imagine a vast sheet of paper on which Lines, Triangles, Squares, Pentagons, Hexagons, and other figures, instead of remaining fixed in their places, move freely about, on or in the surface, but with
Whenever you are -- inside or outside -- there are shapes to discover. And with Tana Hoban's help you will begin to see them. Look around. How many circles, squares, stars, triangles, hearts, and rec
The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings.
The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary background material in modular forms. He then considers the solution of three problems: the Ruziewicz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs: 'expander graphs' and 'Ramanujan graphs'; and the Linnik problem concerning the distribution of integers that represent a given large integer as a sum of three squares. These applications are carried out in detail. The book therefore should be accessible to a wide audience of graduate students and researchers in mathematics