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?In this book, my aim is to provide the reader with a foundation in general topology that will adequately prepare him for further work in a broad variety of mathematical disciplines. The arrangement of the material is such that the book can also serve as a reference for the more advanced mathematician. The reader is assumed to have a background of at least one semester of rigorous analysis; for such persons, the treatment herein is self- contained and the material can easily be covered in a two-semester course. Chapters I-II provide a short introduction to the axiomatic foundations of set theory. Chapters III-VI are devoted to general topological structures; the emphasis is on the mapping, and an extended treatment of identifications is given. Separation axioms are introduced in Chapter VII; after that, with only very few and explicitly noted exceptions, all spaces in the book are assumed to be Hausdorff. By imposing increasingly more severe conditions on the topology, the development proceeds down the hierarchy of topological spaces to the metric spaces; then convergence, compactness, function spaces, and completeness are taken up. The use of homotopy methods in general topology is started in Chapter XV. In the usual manner, these methods lead to "elementary" proofs of the classical results in Euclidean n-space, such as Brouwer's fixed-point and domain-invariance theorems; a proof of the complete Jordan curve theorem is also given. After discussing the homotopy classification of spaces and some of its features, the entry of algebra into topology (via the fundamental and higher homotopy groups) is presented in Chapter XIX ; this chapter is part of some work that was done jointly with W. Hurewicz. The last chapter is devoted to the covering homotopy theorem in fiber spaces and illustrates an interplay between many of the concepts discussed in the book. Two appendices, one on linear topological spaces and the other on limit spaces, are included. Nearly every definition is followed by examples illustrating the use of the abstract concept in some fairly concrete situations. This device makes the book suitable for self-study. It also enables the instructor who uses the book as a text to proceed rapidly to those parts of the subject that he deems of greater importance. Remarks, in small type, call attention either to further developments, or to direct applications in other branches of mathematics. The problems, which are given at the end of each chapter, can all be solved by the methods developed in the book. Moreover, no proof in the text relies on the solution of any problem. Some of the problems are routine. Others are important theorems that complement the material in the text; these are accompanied by hints for their solution. The notation of symbolic logic used throughout the book is given immediately after the table of contents. |
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| RF System Design of Transceivers for Wireless Communications |
E-Books |
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RF System Design of Transceivers for Wireless Communications is for RF Engineers and, in particular, those engineers focusing mostly on RF systems and RFIC design. The author develops systematic methods for RF systems design, complete with a comprehensive set of design formulas. Its focus on mobile station transmitter and receiver system design also applies to transceiver design of other wireless systems such as WLAN. The book is filled with detailed wireless systems design information, and addresses specifications that are critical for the design process. Additional highlights include: - Fundamental information on communications, signal and system theories - Coverage of superheterodyne, direct-conversion, low-IF, and band-pass sampling radio architectures - Frequency planning, system link budgeting, and performance evaluation of transmitters and receivers - Nonlinearity effect analyses involving intermodulation, interferer blocking, spectrum regrowth and modulation - Approaches for specifying RF ASICs on which mobile systems are built - AGC systems, ADC dynamic range consideration and power management are addressed - In-depth treatment of both theoretical and practical aspects of mobile station RF system design This comprehensive reference work covers a wide range of topics from general principles of communication theory, as it applies to digital radio designs to specific examples on implementing multimode mobile systems. Wireless engineering professionals will definitely find this an invaluable reference book. |
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| The Periodic Table |
E-Books |
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 The periodic table is one of the most potent icons in science. It lies at the core of chemistry and embodies the most fundamental principles of the field. The one definitive text on the development of the periodic table by van Spronsen (1969), has been out of print for a considerable time. The present book provides a successor to van Spronsen, but goes further in giving an evaluation of the extent to which modern physics has, or has not, explained the periodic system. The book is written in a lively style to appeal to experts and interested lay-persons alike. The Periodic Table begins with an overview of the importance of the periodic table and of the elements and it examines the manner in which the term 'element' has been interpreted by chemists and philosophers. The book then turns to a systematic account of the early developments that led to the classification of the elements including the work of Lavoisier, Boyle and Dalton and Cannizzaro. The precursors to the periodic system, like Dobereiner and Gmelin, are discussed. In chapter 3 the discovery of the periodic system by six independent scientists is examined in detail. Two chapters are devoted to the discoveries of Mendeleev, the leading discoverer, including his predictions of new elements and his accommodation of already existing elements. Chapters 6 and 7 consider the impact of physics including the discoveries of radioactivity and isotopy and successive theories of the electron including Bohr's quantum theoretical approach. Chapter 8 discusses the response to the new physical theories by chemists such as Lewis and Bury who were able to draw on detailed chemical knowledge to correct some of the early electronic configurations published by Bohr and others. Chapter 9 provides a critical analysis of the extent to which modern quantum mechanics is, or is not, able to explain the periodic system from first principles. Finally, chapter 10 considers the way that the elements evolved following the Big Bang and in the interior of stars. The book closes with an examination of further chemical aspects including lesser known trends within the periodic system such as the knight's move relationship and secondary periodicity, as well at attempts to explain such trends. |
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| Forensic DNA Typing 2nd Edition |
E-Books |
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 Since the enormously successful first edition of Forensic DNA Typing was published, the Human Genome Project has published a draft sequence of the human genome and completed the finished reference sequence. The advent of modern DNA technology has resulted in the increased ability to perform human identity testingdesirable in a number of situations including the determination of perpetrators of violent crime such as murder and rape, resolving unestablished paternity, and identifying remains of missing persons or victims of mass disasters. The technology has been utilized in identifying remains from victims of the World Trade Center twin towers collapse following the terrorist attacks of September 11, 2001, the President Clinton-Monica Lewinsky scandal, and the identification of the remains in the Tomb of the Unknown Soldier. Indeed, our perceptions of history have been changed with DNA evidence that revealed Thomas Jefferson fathered a child by one of his slaves. This book examines the science of current forensic DNA typing methods by focusing on the biology, technology, and genetic interpretation of short tandem repeat (STR) markers, which encompass the most common forensic DNA analysis methods used today. Ten new chapters have been added to accommodate the explosion of new information since the turn of the century. *The only book available that specifically covers detailed information on mitochondrial DNA and the Y chromosome *Chapters cover the topic from introductory level right up to "cutting edge" research *High-profile cases are addressed throughout the book, near the sections dealing with the science or issues behind these cases *NEW TO THIS EDITION: D.N.A. Boxes--boxed "Data, Notes & Applications" sections throughout the book offer higher levels of detail on specific questions |
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