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Elsevier

Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Plasma Processing for VLSI

    • 1st Edition
    • Volume 8
    • Norman G. Einspruch + 1 more
    • English
    VLSI Electronics: Microstructure Science, Volume 8: Plasma Processing for VLSI (Very Large Scale Integration) discusses the utilization of plasmas for general semiconductor processing. It also includes expositions on advanced deposition of materials for metallization, lithographic methods that use plasmas as exposure sources and for multiple resist patterning, and device structures made possible by anisotropic etching. This volume is divided into four sections. It begins with the history of plasma processing, a discussion of some of the early developments and trends for VLSI. The second section, Deposition, discusses deposition techniques for VLSI such as sputtering metals for metallization and contacts, plasma-enhanced chemical vapor deposition of metals and suicides, and plasma enhanced chemical vapor deposition of dielectrics. The part on Lithography presents the high-resolution trilayer resist system, pulsed x-ray sources for submicrometer x-ray lithography, and high-intensity deep-UV sources. The last part, Etching, provides methods in etching, like ion-beam etching using reactive gases, low-pressure reactive ion etching, and the uses of inert-gas ion milling. The theory and mechanisms of plasma etching are described and a number of new device structures made possible by anisotropic etching are enumerated as well. Scientists, engineers, researchers, device designers, and systems architects will find the book useful.

  • VLSI Metallization

    • 1st Edition
    • Volume 15
    • Norman G. Einspruch + 2 more
    • English
    VLSI Electronics Microstructure Science, Volume 15: VLSI Metallization discusses the various issues and problems related to VLSI metallization. It details the available solutions and presents emerging trends. This volume is comprised of 10 chapters. The two introductory chapters, Chapter 1 and 2 serve as general references for the electrical and metallurgical properties of thin conducting films. Subsequent chapters review the various aspects of VLSI metallization. The order of presentation has been chosen to follow the common processing sequence. In Chapter 3, some relevant metal deposition techniques are discussed. Chapter 4 presents the methods of VLSI lithography and etching. Conducting films are first deposited at the gate definition step; therefore, the issues related to gate metallization are discussed next in Chapter 5.In Chapter 6, contact metallization is elaborated, and Chapter 7 is devoted to multilevel metallization schemes. Long-time reliability is the subject of Chapter 8, which discusses the issues of contact and interconnect electromigration. GaAs metallization is tackled in Chapter 9. The volume concludes with a general discussion of the functions of interconnect systems in VLSI. Materials scientists, processing and design engineers, and device physicists will find the book very useful.

  • VLSI Electronics

    Microstructure Science
    • 1st Edition
    • Volume 5
    • Norman G. Einspruch
    • English
    VLSI Electronics: Microstructure Science, Volume 5 considers trends for the future of very large scale integration (VLSI) electronics and the scientific base that supports its development. This book discusses the automation for VLSI manufacture, silicon material properties for VLSI circuitry, and high-performance computer packaging and thin-film multichip module. The nanometer-scale fabrication techniques, high-density CCD memories, and solid-state infrared imaging are also elaborated. This text likewise covers the impact of microelectronics upon radar systems and quantum-mechanical limitations on device performance. This volume is a good source for scientists and engineers who wish to become familiar with VLSI electronics, device designers concerned with the fundamental character of and limitations to device performance, systems architects who will be charged with tying VLSI circuits together, and engineers conducting work on the utilization of VLSI circuits in specific areas of application.

  • VLSI Electronics

    Microstructure Science
    • 1st Edition
    • Volume 4
    • Norman G. Einspruch
    • English
    VLSI Electronics: Microstructure Science, Volume 4 reviews trends for the future of very large scale integration (VLSI) electronics and the scientific base that supports its development. This book discusses the silicon-on-insulator for VLSI and VHSIC, X-ray lithography, and transient response of electron transport in GaAs using the Monte Carlo method. The technology and manufacturing of high-density magnetic-bubble memories, metallic superlattices, challenge of education for VLSI, and impact of VLSI on medical signal processing are also elaborated. This text likewise covers the impact of VLSI technology on the design of intelligent measurement instruments and systems. This volume is valuable to scientists and engineers who wish to become familiar with VLSI electronics, device designers concerned with the fundamental character of and limitations to device performance, systems architects who will be charged with tying VLSI circuits together, and engineers conducting work on the utilization of VLSI circuits in specific areas of application.

  • VLSI and Computer Architecture

    • 1st Edition
    • Volume 20
    • Ravi Shankar + 1 more
    • Norman G. Einspruch
    • English
    VLSI Electronics Microstructure Science, Volume 20: VLSI and Computer Architecture reviews the approaches in design principles and techniques and the architecture for computer systems implemented in VLSI. This volume is divided into two parts. The first section is concerned with system design. Chapters under this section focus on the discussion of such topics as the evolution of VLSI; system performance and processor design considerations; and VLSI system design and processing tools. Part II of the book focuses on the architectural possibilities that have become cost effective with the development of VLSI circuits. Topics on architectural requirements and various architectures such as the Reduced Instruction Set, Extended Von Neumann, Language-Oriented, and Microprogrammable architectures are elaborated in detail. Also included are chapters that discuss the evaluation of architecture, multiprocessing configurations, and the future of VLSI. Computer designers, those evaluating computer systems, researchers, and students of computer architecture will find the book very useful.

  • VLSI Electronics Microstructure Science

    • 1st Edition
    • Volume 7
    • Norman G. Einspruch
    • English
    VLSI Electronics: Microstructure Science, Volume 7 presents a comprehensive exposition and assessment of the developments and trends in VLSI (Very Large Scale Integration) electronics. This treatise covers subjects that range from microscopic aspects of materials behavior and device performance to the comprehension of VLSI in systems applications. Each chapter is prepared by a recognized authority. The topics contained in this volume include a basic introduction to the application of superconductivity in high-speed digital systems; the expected impact of VLSI technology on the implementation of AI (artificial intelligence); the limits to improvement of silicon integrated circuits; and the various spontaneous noise sources in VLSI circuits and their effect on circuit operation. Scientists, engineers, researchers, device designers, and systems architects will find the book very useful.

  • Computational Logic

    • 1st Edition
    • Volume 9
    • Dov M. Gabbay + 2 more
    • English
    Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: “Calculemus”. The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications.

  • Computational Statistics with R

    • 1st Edition
    • Volume 32
    • English
    R is open source statistical computing software. Since the R core group was formed in 1997, R has been extended by a very large number of packages with extensive documentation along with examples freely available on the internet. It offers a large number of statistical and numerical methods and graphical tools and visualization of extraordinarily high quality. R was recently ranked in 14th place by the Transparent Language Popularity Index and 6th as a scripting language, after PHP, Python, and Perl. The book is designed so that it can be used right away by novices while appealing to experienced users as well. Each article begins with a data example that can be downloaded directly from the R website. Data analysis questions are articulated following the presentation of the data. The necessary R commands are spelled out and executed and the output is presented and discussed. Other examples of data sets with a different flavor and different set of commands but following the theme of the article are presented as well. Each chapter predents a hands-on-experience. R has superb graphical outlays and the book brings out the essentials in this arena. The end user can benefit immensely by applying the graphics to enhance research findings. The core statistical methodologies such as regression, survival analysis, and discrete data are all covered.

  • Doing Bayesian Data Analysis

    A Tutorial with R, JAGS, and Stan
    • 2nd Edition
    • John Kruschke
    • English
    Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan, Second Edition provides an accessible approach for conducting Bayesian data analysis, as material is explained clearly with concrete examples. Included are step-by-step instructions on how to carry out Bayesian data analyses in the popular and free software R and WinBugs, as well as new programs in JAGS and Stan. The new programs are designed to be much easier to use than the scripts in the first edition. In particular, there are now compact high-level scripts that make it easy to run the programs on your own data sets. The book is divided into three parts and begins with the basics: models, probability, Bayes’ rule, and the R programming language. The discussion then moves to the fundamentals applied to inferring a binomial probability, before concluding with chapters on the generalized linear model. Topics include metric-predicted variable on one or two groups; metric-predicted variable with one metric predictor; metric-predicted variable with multiple metric predictors; metric-predicted variable with one nominal predictor; and metric-predicted variable with multiple nominal predictors. The exercises found in the text have explicit purposes and guidelines for accomplishment. This book is intended for first-year graduate students or advanced undergraduates in statistics, data analysis, psychology, cognitive science, social sciences, clinical sciences, and consumer sciences in business.

  • An Introduction to Probability and Statistical Inference

    • 2nd Edition
    • George G. Roussas
    • English
    An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities. Reorganized material is included in the statistical portion of the book to ensure continuity and enhance understanding. Each section includes relevant proofs where appropriate, followed by exercises with useful clues to their solutions. Furthermore, there are brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises are available to instructors in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, business, social sciences or agriculture.

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