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Physics and engineering students need a clear understanding of mathematics in order to solve a vast array of problems posed to them in coursework. Unfortunately, in many textbooks, mathematical proofs and techniques obscure a fundamental understanding of the physical principles. In a clear and didactic manner, this book explains to the student why particular advanced mathematical techniques are useful for solving certain problems. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering through a discussion of a wide range of real physical problems. The topics covered include simultaneous equations, three-dimensional geometry and vectors, complex numbers, differential equations, partial derivatives, Taylor series, and Lagrange multipliers. Review "Professor Lyons has the ability to reach students and expand their minds mathematically." Journal of College Science Teaching Read more...

To have the courage to think outside the square, we need to be intrigued by a problem. 'Complex Numbers and Vectors' draws on the power of intrigue and uses appealing applications from navigation, global positioning systems, earthquakes, circus acts and stories from mathematical history to explain the mathematics of vectors and the discoveries in complex numbers. The first part of 'Complex Numbers and Vectors' provides teachers with background material, ideas and teaching approaches to complex numbers; models for complex numbers and their geometric and algebraic properties; their role in providing completeness with respect to the solution of polynomial equations of a single complex variable (the fundamental theorem of algebra); the specification of curves and regions in the complex plane; and simple transformations of the complex plane. The second part of this resource provides an introduction to vectors and vector spaces, including matrix representation; covers vectors in two- and three-dimensions; their application to specification of curves; vector calculus and their elementary application to geometric proof. Technology has been used throughout the text to construct images of curves, graphs and two and three dimensional shapes. Read more...

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequistite is a basic knowledge of advanced calculus. The presentation is also ideally suited for Read more...

Be among the first to capture an early look at the libraries of Java SE 6, aka Mustang. While J2SE 5.0 is just now starting to become regularly adopted, Java 6 Platform Revealed takes a look at the next release of the Standard Edition platform to come from Sun. New editions of the platform dont happen that frequently, but when they do, there is a lot to learn about quickly. If you want to come up to speed on the new feature set as quickly as possible, Java 6 Platform Revealed will place you well ahead of the pack. Youll find ten chapters of how to use the latest JSR implementations and library improvements that are now a part of Mustang. Youll learn about the new scripting features of AWT and Swing and emdash; like splash screens, system tray access, and table sorting and filtering and emdash; and lots more. What you wont find in Java 6 Platform Revealed is a "getting started with Java" tutorial. Come prepared with a good working knowledge of Java 5 platform for best results. Not only will you see whats in Javas future, but youll learn how to actually use many of the new features of the platform quickly. Before the platform has even become finalized youll find yourself productive with the many new capabilities of Mustang. It's aim is to provide a fast overview of what's new and this it clearly does. - Pan Pantziarka, The Resgister About the Author John Zukowski has been involved with the Java platform since it was just called Java, 11 years and running, since 1995. He Read more...

Pro PHP XML and Web Services is the authoritative guide to using the XML features of PHP 5 and PHP 6. No other book covers XML and Web Services in PHP as deeply as this title. The first four chapters introduce the core concepts of XML required for proficiency, and will bring you up to speed on the terminology and key concepts you need to proceed with the rest of the book. Next, the book explores utilizing XML and Web Services with PHP5. Topics include DOM, SimpleXML, SAX, xmlReader, XSLT, RDF, RSS, WDDX, XML-RPC, REST, SOAP, and UDDI. Author Robert Richards, a major contributor to the PHP XML codebase, is a leading expert in the PHP community. In this book, Richards covers all topics in depth, blending theory with practical examples. Youll find case studies for the most popular web services like Amazon, Google, eBay, and Yahoo. The book also covers XML capabilities, demonstrated through informative examples, in the PEAR libraries. I would highly recommend this as a resource for any developers who want to really dig in and solidify their working knowledge of PHP and web services, or just want to explore the nuances and complexities of XML DTDs and namespaces. - Nathan Smith, Godbit Project About the Author Robert Richards, currently an independent contractor, has worked in various fields including Medical Information, Telecommunications, Media and E-Learning. Having been exposed to XML since its inception and used for various projects during his career, his most ext Read more...

Text addresses the unique challenges raised by using C++ in game development. Describes common C++ techniques to solve specific problems faced by most developers. Covers new technologies such as STL, along with challenges specific to different platforms. For intermediate to advanced programmers. Softcover. DLC: C++ (Computer program language). C++ is the primary language used in game development; however, game programming has a unique set of challenges, which general application development techniques and recommendations don't apply to. Written to address this issue, C++ for Game Programmers provides practical suggestions for what C++ features to use in game development and why. Many of the misconceptions of C++ are clarified, and programmers learn the most effective methods for using the language to create games. This is primarily a book about ideas and concepts: it is not just a source of C++ code to use in your game project. Instead, C++ for Game Programmers covers how things work from a game-development perspective, and provides practical rules to follow. It points out the most effective C++ practices and steers developers away from the potentially dangerous ones. It describes common C++ techniques to solve specific problems faced by most developers, and focuses on techniques that have been proven in real games. Additionally, specific new technologies such as STL are covered in detail, along with the challenges specific to different platforms such as PCs or game consol Read more...

Review Provides hard-to-find information on interfacing analog devices and technologies to the purely digital world of embedded microprocessors. Gives the reader the insight and perspective of a real embedded systems design engineer, including tips that only a hands-on professional would know. Covers important considerations for both hardware and software systmes when linking analog and digital devices. -Embedded Technology ...a comprehensive source on interfacing the real world to microprocessors should prove invaluable to embedded systems engineers, students, technicians, and hobbyists. Anyone involved in connecting the analog environment to their digital machines, or troubleshooting such connections will find this book especially useful. - Embedded Technology In general, for all the sections, there are plenty of simple diagrams and also the maths is kept to a simple level. ...I like this book and recommend it as an introduction to the subject for home use, students and SW Engineers. - Chris Hills in the ACCU magazine CVu ...there are plenty of simple diagrams and also the maths is kept to a simple level. I like this book and recommend it as an introduction to the subject for home use, students and engineers. -Chris Hills in the ACCU magazine CVu Review Provides hard-to-find information on interfacing analog devices and technologies to the purely digital world of embedded microprocessors. Gives the reader the insight and perspective of a real embedded systems desig Read more...

This textbook has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra, and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching covering the same topic several times at increasing levels of sophistication and range of application. Thus the student develops a deep intuitive understanding of the subject as a whole and an appreciation of the natural progression of ideas. This the second volume, opens with an introduction to algebraic topology, introduced by the analysis of electrical networks or mathematically speaking, the topology of one-dimensional complexes. Chapters 15-18 develop the exterior differential calculus as a continuous version of the discrete theory of complexes. Facts of the exterior calculus are presented: exterior algebra, k-forms, pullback, exterior derivative and Stokes' theorem. Chapter 16 presents another physical theory, electrostatics. The authors argue that the dielectric properties of the vacuum determine Euclidean geometry in three-dimensional space. The basic facts of potential theory are presented. Chapters 17 and 18 continue and conclude the study of the exterior differential calculus, developing the notions of vector fields and flows, interior products and Lie derivatives, and applying them to magnetostatics. The star operator is discussed in a general context. Read more...

This text breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Aimed at physics students, it covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The exterior differential calculus is now being recognized by mathematicians and physicists as the best method of formulating the geometrical laws of physics, and the frontiers of physics have already begun to reopen fundamental questions about the geometry of space and time. Covering the basics of differential and integral calculus, the authors then apply the theory to interesting problems in optics, electronics (networks), electrostatics, wave dynamics, and finally to classical thermodynamics. The authors adopt the "spiral method" of teaching (rather than rectilinear), covering the same topic several times at increasing levels of sophistication and range of application. Review "A Course in Mathematics by Bamberg and Sternberg is in a class by itself....The authors have drawn on their wide teaching experience to produce a book whose tone is authoritative, whose vision is fresh, and whose whole feel is original....there is to my knowledge no comparable book, and it is hard to imagine a more inspiring one." Times Literary Supplement "You can find about a dozen books on exterior calculus, that is, the calculus of differential forms, written for physicists. The one reviewed here is the most elementar Read more...