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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.

BooksJournals

    • VLSI Electronics

      • 1st Edition
      • Volume 5
      • December 1, 2014
      • Norman G. Einspruch
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 2 9 1
      • eBook
        9 7 8 1 4 8 3 2 1 7 7 2 7
      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 and Computer Architecture

      • 1st Edition
      • Volume 20
      • December 1, 2014
      • Ravi Shankar + 1 more
      • Norman G. Einspruch
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 4 1 3
      • eBook
        9 7 8 1 4 8 3 2 1 7 8 4 0
      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 Design

      • 1st Edition
      • Volume 14
      • December 1, 2014
      • Norman G. Einspruch
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 3 7 6
      • eBook
        9 7 8 1 4 8 3 2 1 7 8 0 2
      VLSI Electronics Microstructure Science, Volume 14: VLSI Design presents a comprehensive exposition and assessment of the developments and trends in VLSI (Very Large Scale Integration) electronics. This volume covers topics that range from microscopic aspects of materials behavior and device performance to the comprehension of VLSI in systems applications. Each article is prepared by a recognized authority. The subjects discussed in this book include VLSI processor design methodology; the RISC (Reduced Instruction Set Computer); the VLSI testing program; silicon compilers for VLSI; and specialized silicon compiler and programmable chip for language recognition. Scientists, engineers, researchers, device designers, and systems architects will find the book very useful.

    • VLSI in Medicine

      • 1st Edition
      • Volume 17
      • December 1, 2014
      • Norman G. Einspruch + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 4 0 6
      • eBook
        9 7 8 1 4 8 3 2 1 7 8 3 3
      VLSI Electronics Microstructure Science, Volume 17: VLSI in Medicine deals with the more important applications of VLSI in medical devices and instruments. This volume is comprised of 11 chapters. It begins with an article about medical electronics. The following three chapters cover diagnostic imaging, focusing on such medical devices as magnetic resonance imaging, neurometric analyzer, and ultrasound. Chapters 5, 6, and 7 present the impact of VLSI in cardiology. The electrocardiograph, implantable cardiac pacemaker, and the use of VLSI in Holter monitoring are detailed in these chapters. The neurostimulator is described in Chapter 8. Chapter 9 discusses both implantable and external drug infusion pumps and describes the use of VLSI in a particular external pump. The last two chapters cover topics that apply to the entire field of medical electronics. Engineers, scientists, medical practitioners and researchers will find the book very useful.

    • VLSI Electronics

      • 1st Edition
      • Volume 2
      • December 1, 2014
      • Norman G. Einspruch
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 2 6 0
      • eBook
        9 7 8 1 4 8 3 2 1 7 6 9 7

    • VLSI Electronics

      • 1st Edition
      • Volume 3
      • December 1, 2014
      • Norman G. Einspruch
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 2 7 7
      • eBook
        9 7 8 1 4 8 3 2 1 7 7 0 3
      VLSI Electronics: Microstructure Science, Volume 3 evaluates trends for the future of very large scale integration (VLSI) electronics and the scientific base that supports its development. This book discusses the impact of VLSI on computer architectures; VLSI design and design aid requirements; and design, fabrication, and performance of CCD imagers. The approaches, potential, and progress of ultra-high-speed GaAs VLSI; computer modeling of MOSFETs; and numerical physics of micron-length and submicron-length semiconductor devices are also elaborated. This text likewise covers the optical linewidth measurements on photomasks and wafers and effects of materials technology and fabrication tolerances on guided-wave optical communication and signal processing. This volume is recommended 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.

    • Computational Logic

      • 1st Edition
      • Volume 9
      • November 28, 2014
      • Dov M. Gabbay + 2 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 6 2 4 4
      • eBook
        9 7 8 0 0 8 0 9 3 0 6 7 1
      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
      • November 25, 2014
      • English
      • Hardback
        9 7 8 0 4 4 4 6 3 4 3 1 3
      • eBook
        9 7 8 0 4 4 4 6 3 4 4 1 2
      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

      • 2nd Edition
      • November 3, 2014
      • John Kruschke
      • English
      • Hardback
        9 7 8 0 1 2 4 0 5 8 8 8 0
      • eBook
        9 7 8 0 1 2 4 0 5 9 1 6 0
      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
      • September 25, 2014
      • George G. Roussas
      • English
      • Hardback
        9 7 8 0 1 2 8 0 0 1 1 4 1
      • eBook
        9 7 8 0 1 2 8 0 0 4 3 7 1
      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.

Related subjects

Mathematics and applied mathematics

Statistics and probability