Kaleidoscopes—with their endlessly changing patterns—have captivated imaginations for centuries. This unique collection features thirty of these circularly arranged images, created from multiple views of butterflies, fish, beetles, and other creatures of nature.
This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings. Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings. The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.
Stop "summer slide" and get ready to return to the classroom for 2nd grade with Sylvan's SUMMER SMART Workbooks! Research shows that kids can lose up to 2.5 months' worth of hard-earned knowledge from the previous grade over the summer vacation break. That's why we at Sylvan Learning—America's #1 tutoring brand—created the SUMMER SMART workbook series! Packed with fun exercises and teacher-created activities, this book reinforces math and reading concepts your child learned in 1st grade, including: • Numbers and counting • Addition and subtraction • Basic measurements • Short and long vowels • Words to know • Reading comprehension Inside each Summer Smart book, you'll also find: • Teacher tips for staying sharp over the summer • Special “Vacation Challenge!” activities and games section • Cut-out flashcard sheets and recommended reading lists • A “Summer Smart!” Achievement Certificate Let the experts at America's #1 tutoring brand help get your child ready for 2nd grade! ***** Why Sylvan Products Work ***** Sylvan Learning Workbooks won a National Parenting Publications Awards (NAPPA) Honors Award as a top book series for children in the elementary-aged category. NAPPA is the nation’s most comprehensive awards program for children’s products and parenting resources and has been critically reviewing products since 1990. The Award recognizes Sylvan Learning Workbooks as some of the most innovative and useful products geared to parents. Sylvan's proven system inspires kids to learn and has helped children nationwide catch up, keep up, and get ahead in school. Sylvan has been a trusted partner for parents for thirty years, and has based their supplemental education success on programs developed through a focus on the highest educational standards and detailed research. Sylvan’s line of educational products equips families with fun, effective, and grade-appropriate learning tools. Our workbooks and learning kits feature activities, stories, and games to reinforce the skills children need to develop and achieve their academic potential. Students will reap the rewards of improved confidence and a newfound love of learning.
This riot of geometric images offers a kaleidoscope of coloring possibilities! This collection of 63 complex illustrations is a mind-bending mix of geometry and art, awaiting your addition of vivid color.
Thirty enchanting designs based on patterns made by a kaleidoscope. Dazzling images will delight colorists of all ages, and inspire artists and craftspeople.
The result of a conference on language and related cognitive processes in animals, this book brings together scientists working on language and communication, reviews research done on language in apes and dolphins, and places this work in a larger perspective of animal communication and cognition. The conference convened an international group of distinguished scientists interested in exploring the neurological, cognitive, social, and behavioral aspects of communication in animals. A broad spectrum of perspectives was represented, including naturalistic investigations of animals in their natural habitat as well as strictly controlled laboratory investigations. Similarly, a broad range of species was described including rats, parrots, monkeys, apes, dolphins, and humans. New methodologies and perspectives are continuously emerging that allow consideration of issues that previously could not be resolved. Emerging technology such as video equipment and advanced database systems allow one to exhaustively record in an accessible format the evidence on which scientific conclusions must be based. Investigation of animal language and communication is a small, but vigorously exciting area of scientific investigation as the chapters in this volume clearly attest.
Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. To begin this journey of discovery, some experience with mathematical reasoning is beneficial. This text takes a fairly rigorous approach to its subject, and expects the reader to understand and create proofs as well as examples throughout. The book follows a single arc, starting from humble beginnings with arithmetic and high-school algebra, gradually introducing abstract structures and concepts, and culminating with Niels Henrik Abel and Evariste Galois’ achievement in understanding how we can—and cannot—represent the roots of polynomials. The mathematically experienced reader may recognize a bias toward commutative algebra and fondness for number theory. The presentation includes the following features: Exercises are designed to support and extend the material in the chapter, as well as prepare for the succeeding chapters. The text can be used for a one, two, or three-term course. Each new topic is motivated with a question. A collection of projects appears in Chapter 23. Abstract algebra is indeed a deep subject; it can transform not only the way one thinks about mathematics, but the way that one thinks—period. This book is offered as a manual to a new way of thinking. The author’s aim is to instill the desire to understand the material, to encourage more discovery, and to develop an appreciation of the subject for its own sake.
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