Skip to main content
View Cart

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.

  • Dataflow Processing

    • 1st Edition
    • Volume 96
    • English
    Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in computer hardware, software, theory, design, and applications. It has also provided contributors with a medium in which they can explore their subjects in greater depth and breadth than journal articles usually allow. As a result, many articles have become standard references that continue to be of significant, lasting value in this rapidly expanding field.

  • Nonlinear Differential Equations

    • 1st Edition
    • Volume 2
    • Svatopluk Fucik + 1 more
    • English
    Studies in Applied Mathematics, 2: Nonlinear Differential Equations focuses on modern methods of solutions to boundary value problems in linear partial differential equations. The book first tackles linear and nonlinear equations, free boundary problem, second order equations, higher order equations, boundary conditions, and spaces of continuous functions. The text then examines the weak solution of a boundary value problem and variational and topological methods. Discussions focus on general boundary conditions for second order ordinary differential equations, minimal surfaces, existence theorems, potentials of boundary value problems, second derivative of a functional, convex functionals, Lagrange conditions, differential operators, Sobolev spaces, and boundary value problems. The manuscript examines noncoercive problems and vibrational inequalities. Topics include existence theorems, formulation of the problem, vanishing nonlinearities, jumping nonlinearities with finite jumps, rapid nonlinearities, and periodic problems. The text is highly recommended for mathematicians and engineers interested in nonlinear differential equations.

  • Methods of Contour Integration

    • 1st Edition
    • Volume 3
    • M. L. Rasulov
    • H. A. Lauwerier + 1 more
    • English
    Methods of Contour Integration contains two parts: (1) a systematic exposition of the computational method for solving boundary and mixed problems, and (2) the contour-integral method for investigating general linear mixed problems. The first part includes formulae for expanding arbitrary vector-valued functions in series from integral residues of solutions of boundary-value problems for systems of ordinary differential equations with discontinuous coefficients. These formulae give residue representations of solutions of the corresponding one-dimensional mixed problems for equations with discontinuous coefficients. The book also explains a computational method of separating the variables which is a generalization of the ordinary method of separating variables to the case of nonself-adjoint operators. In part two, the text discusses one-dimensional mixed problems for equations with discontinuous coefficients. Under regular boundary conditions, it proves the existence of solutions for these problems and the representability of the solutions in the form of contour integrals with a complex parameter. The text points out that the contour-integral method is also applicable to parabolic equations and to equations in which the coefficients are functions of time. The book is ideal for mathematicians, students, and professor of calculus and advanced mathematics.

  • A Correlation Study of Methods of Matrix Structural Analysis

    Report to the 14th Meeting, Structures and Materials Panel Advisory Group for Aeronautical Research and Development, NATO, Paris, France, July 6, 1962
    • 1st Edition
    • Volume 69
    • Richard H. Gallagher
    • English
    A Correlation Study of Methods of Matrix Structural Analysis describes the results of a survey and review of airframe matrix structural analysis. The book also explains concepts of force and displacement, as well as the techniques for determining the force-displacement properties of discrete elements employed in analytical idealizations of structures. The text investigates the results of extensive analyses of multiweb low aspect ratio wings, using past evaluative studies and idealizations contained in reports of the AGARD Structures and Materials Panel. The techniques describe in the Panel and other techniques in matrix structural analysis lead to identical formulations of the governing equations. The differences between various references with respect to idealization are independent of the formulation of the governing equations. The solutions to governing equations are precise solutions for the postulated discrete element system. The book also describes a recommended computer program development using whichever is more appropriate between a force approach or displacement approach to matrix structural analysis. The text is valuable for researchers in structural analysis, aeronautics, applied mechanics, and investigators of aircraft engineering.

  • Surface and Interface Effects in VLSI

    • 1st Edition
    • Volume 10
    • Norman G. Einspruch + 1 more
    • English
    VLSI Electronics Microstructure Science, Volume 10: Surface and Interface Effects in VLSI provides the advances made in the science of semiconductor surface and interface as they relate to electronics. This volume aims to provide a better understanding and control of surface and interface related properties. The book begins with an introductory chapter on the intimate link between interfaces and devices. The book is then divided into two parts. The first part covers the chemical and geometric structures of prototypical VLSI interfaces. Subjects detailed include, the technologically most important interface, Si-SiO2 and the interplay between interface chemistry and the causes for metal-semiconductor contact behavior, primarily in the III-Vs. The following section deals primarily with the electronic properties of interfaces. Under this section, compound semiconductors, semiconductor-semico... interface, constraints that the microscopic interface places on architectures involving metal-semiconductor (MESFET), "Ohmic" contacts, and the behavior of very small, high-speed devices are discussed extensively. The final chapter shows that the Si - SiO2 interface can play a major role in determining carrier transport when MOSFETS are scaled down to ULSI dimensions. Engineers, designers, and scientists will find the book very useful.

  • Lithography for VLSI

    VLSI Electronics Microstructure Science
    • 1st Edition
    • Volume 16
    • Norman G. Einspruch + 1 more
    • English
    VLSI Electronics Microstructure Science, Volume 16: Lithography for VLSI treats special topics from each branch of lithography, and also contains general discussion of some lithographic methods. This volume contains 8 chapters that discuss the various aspects of lithography. Chapters 1 and 2 are devoted to optical lithography. Chapter 3 covers electron lithography in general, and Chapter 4 discusses electron resist exposure modeling. Chapter 5 presents the fundamentals of ion-beam lithography. Mask/wafer alignment for x-ray proximity printing and for optical lithography is tackled in Chapter 6. Chapters 7 and 8 on metrology deal with the characterization of lithography by measurements of various types. Engineers, scientists, and technical managers in the semiconductor industry, and engineering and applied physics faculty and graduate students will find the text very useful.

  • VLSI Design

    • 1st Edition
    • Volume 14
    • Norman G. Einspruch
    • English
    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 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 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 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.

Related subjects