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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students written for trainers and participants of contests of all levels. PROBLEM SOLVING STRATEGIES is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non-routine problems and for individuals who are just interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. Very few problems have no solutions Read more...

In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations, and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems. An Instructor's Manual presenting detailed solutions to all the problems in the book is available online. Review: non-trivial analysis The authors demonstrate how Matlab can be used for advanced numerical calculations. Many Matlab books just use numerical examples that are really elementary, from a scientific or engineering viewpoint. Those texts are more about teaching Matlab. Hence they choose simple examples, to reach a broad audience. Whereas the audience for this book is rather select. Probably tending towards professionals in the physical sciences or engineering. Or possibly grad students in these fields. The text starts with matrix [linear] algebra. Explaining how to invert a linear system of equations. Then the book goes onto fi Read more...

Presents a thorough introduction to the programming process by carefully developing working programs to illuminate key features of the C++ programming language. C++ by Dissection presents a thorough introduction to the programming process by carefully developing working programs to illuminate key features of the C++ programming language. This book presents the concepts of the programming process using the "dissection" method, the hallmark feature that has made Ira Pohl's C and Java books of the "By Dissection" series so popular. Dissection is a unique pedagogical tool first developed by the author to point out key features of program code. It is similar to a structured walk-through of the code, with the intention of explaining newly encountered programming elements and idioms as found in working code. The book includes a CD-ROM containing a compiler and an electronic version of the book that allows readers to search, take notes, and highlight right on their computer. Each chapter presents a number of carefully explained programs, which lead the reader in a holistic manner to ever-improving programming skills. Right from the start, the reader is introduced to complete programs, and at an early point in the book, the reader is introduced to writing functions as a major feature of structured programming. It contains four to seven small code dissections per chapter, and then each chapter culminates with a larger, extended code dissection. "Software Engineering" sections in eac Read more...

The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory -- An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many exciting new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as coloring, matching, extremal theory, and algebraic graph theory, the book presents a detailed account of newer topics, including Szemer'edi's Regularity Lemma and its use, Shelah's extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. In no other branch of mathematics is it as vital to tackle and solve challenging exercises in order to master the subject. To this end, the book contai Read more...

Practical Cisco Routers is an excellent "first purchase" for anyone interested in Router technology. It provides hands-on steps and easy-to-follow screen captures for the basic configuration of a new router. This book provides the basic knowledge base needed to cope with a rapidly proliferating technology. Practical Cisco Routers is written in an easy-to-understand and straightforward manner to provide the essential information for technology professionals new to routers by an author who teaches the information daily. Joe's instructional background enables him to present the material in a manner that enables you to learn exactly what you need to know. Read more...

Grzimek's Student Animal Life Resource: Amphibians offers readers comprehensive and easy-to-use information on Earth's amphibians. Entries are arranged by taxonomy, the science through which living things are classified into related groups. Each entry includes sections on physical characteristics; geographic range; habitat; diet; behavior and reproduction; amphibians and people; and conservation status. Family entries are followed by one or more species accounts and a range map and photo or illustration for each species. Entries conclude with a list of books, periodicals, and Web sites that may be used for further research. Each volume of Grzimek's Student Animal Life Resource: Amphibians includes a pronunciation guide for scientific names, a glossary, an overview of amphibians, a list of species in the set by biome, a list of species by geographic location, and an index. The set has more than 200 full-color maps, photos, and illustrations to enliven the text, and sidebars provide additional facts and related information. Read more...

Recent developments in cosmology and particle physics, such as the string landscape picture, have led to the remarkable realization that our universe - rather than being unique - could be just one of many universes. The multiverse proposal helps to explain the origin of the universe and some of its observational features. Since the physical constants can be different in other universes, the fine-tunings which appear necessary for the emergence of life may also be explained. Nevertheless, many physicists remain uncomfortable with the multiverse proposal, since it is highly speculative and perhaps untestable. In this volume, a number of active and eminent researchers in the field - mainly cosmologists and particle physicists but also some philosophers - address these issues and describe recent developments. The articles represent the full spectrum of views, providing for the first time an overview of the subject. They are written at different academic levels, engaging lay-readers and researchers alike. About the Author Bernard Carr is a professor at Queen Mary, University of London. He received the Adams prize in 1984, one of the most prestigious mathematical awards. He is a member of several professional societies, most notably the Royal Astronomical Society. He has worked in the UK, USA, Japan and Canada, and has published nearly 200 research papers and dozens of popular science articles. He regularly appears in the media. Read more...

Newnes Guide to Television and Video Technology, Fourth Edition: The Guide for the Digital Age - from HDTV, DVD and flat-screen technologies to Multimedia Broadcasting, Mobile TV and Blu Ray This book provides a full and comprehensive coverage of video and television technology including the latest developments in display equipment, HDTV and DVD. Starting with TV fundamentals, the bulk of the book covers the many new technologies that are bringing growth to the TV and video market, such as plasma and LCD, DLP (digital light processing), DVD, Blu ray technology, Digital television, High Definition television (HDTV) and video projection systems. For each technology, a full explanation is provided of its operation and practical application, supported by over 300 diagrams including schematic diagrams of commercially available consumer equipment. Where relevant, testing and fault finding procedures are outlined together with typical fault symptoms supported by photographs. The new edition has a number of useful appendices on microcomputer/microcontroller systems, test instruments, serial buses (I2C and RS 232), teletext and error correction techniques. The book is intended for students of electronics and practicing engineers. In particular, it will useful for students on vocational courses and service engineers as well as enthusiasts. *The definitive guide to the new technologies transforming the world of television: HDTV, Digital TV, DVD recorders, hard disk re Read more...

Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions. This may be in the form of describing simple shapes such as a circle, ellipse, or parabola, or complex problems such as rotating 3D objects about an arbitrary axis. Geometry for Computer Graphics draws together a wide variety of geometric information that will provide a sourcebook of facts, examples, and proofs for students, academics, researchers, and professional practitioners. The book is divided into 4 sections: the first summarizes hundreds of formulae used to solve 2D and 3D geometric problems. The second section places these formulae in context in the form of worked examples. The third provides the origin and proofs of these formulae, and communicates mathematical strategies for solving geometric problems. The last section is a glossary of terms used in geometry. Read more...