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Books in Physical sciences and engineering

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    • Elements of Linear Space

      • 1st Edition
      • Volume 26
      • July 14, 2014
      • A. R. Amir-Moez + 1 more
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 3 3 7 6
      • eBook
        9 7 8 1 4 8 3 2 7 9 0 9 1
      Elements of Linear Space is a detailed treatment of the elements of linear spaces, including real spaces with no more than three dimensions and complex n-dimensional spaces. The geometry of conic sections and quadric surfaces is considered, along with algebraic structures, especially vector spaces and transformations. Problems drawn from various branches of geometry are given. Comprised of 12 chapters, this volume begins with an introduction to real Euclidean space, followed by a discussion on linear transformations and matrices. The addition and multiplication of transformations and matrices are given emphasis. Subsequent chapters focus on some properties of determinants and systems of linear equations; special transformations and their matrices; unitary spaces; and some algebraic structures. Quadratic forms and their applications to geometry are also examined, together with linear transformations in general vector spaces. The book concludes with an evaluation of singular values and estimates of proper values of matrices, paying particular attention to linear transformations always on a unitary space of dimension n over the complex field. This book will be of interest to both undergraduate and more advanced students of mathematics.

    • Fundamental Concepts of Mathematics

      • 2nd Edition
      • July 14, 2014
      • R. L. Goodstein
      • I. N. Sneddon
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 1 6 3 5
      • eBook
        9 7 8 1 4 8 3 1 5 4 0 5 3
      Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.

    • Analytic Properties of Automorphic L-Functions

      • 1st Edition
      • Volume 6
      • July 14, 2014
      • Stephen Gelbart + 1 more
      • J. Coates + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 9 3 0 9
      • eBook
        9 7 8 1 4 8 3 2 6 1 0 3 4
      Analytic Properties of Automorphic L-Functions is a three-chapter text that covers considerable research works on the automorphic L-functions attached by Langlands to reductive algebraic groups. Chapter I focuses on the analysis of Jacquet-Langlands methods and the Einstein series and Langlands’ so-called “Euler products”. This chapter explains how local and global zeta-integrals are used to prove the analytic continuation and functional equations of the automorphic L-functions attached to GL(2). Chapter II deals with the developments and refinements of the zeta-inetgrals for GL(n). Chapter III describes the results for the L-functions L (s, ?, r), which are considered in the constant terms of Einstein series for some quasisplit reductive group. This book will be of value to undergraduate and graduate mathematics students.

    • Huygens' Principle and Hyperbolic Equations

      • 1st Edition
      • Volume 5
      • July 14, 2014
      • Gunther Paul
      • J. Coates + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 6 2 2 2 2
      Huygens' Principle and Hyperbolic Equations is devoted to certain mathematical aspects of wave propagation in curved space-times. The book aims to present special nontrivial Huygens' operators and to describe their individual properties and to characterize these examples of Huygens' operators within certain more or less comprehensive classes of general hyperbolic operators. The materials covered in the book include a treatment of the wave equation for p-forms over a space of constant sectional curvature, the Riesz distributions, the Euler-Poisson-Darbou... over a Riemannian manifold, and plane wave manifolds. Physicists will find the book invaluable.

    • Non-Linear Differential Equations

      • 1st Edition
      • Volume 67
      • July 14, 2014
      • G. Sansone + 1 more
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 6 9 2 4 8
      • eBook
        9 7 8 1 4 8 3 1 8 5 0 5 7
      Non-Linear Differential Equations covers the general theorems, principles, solutions, and applications of non-linear differential equations. This book is divided into nine chapters. The first chapters contain detailed analysis of the phase portrait of two-dimensional autonomous systems. The succeeding chapters deal with the qualitative methods for the discovery of periodic solutions in periodic systems. The remaining chapters describe a synthetical approach to the study of asymptotic properties, especially stability properties, of the solutions of general n-dimensional systems. This book will be of great value to mathematicians, researchers, and students.

    • Automorphic Forms and Geometry of Arithmetic Varieties

      • 1st Edition
      • July 14, 2014
      • K. Hashimoto + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 4 6 4 2
      • eBook
        9 7 8 1 4 8 3 2 1 8 0 7 6
      Automorphic Forms and Geometry of Arithmetic Varieties deals with the dimension formulas of various automorphic forms and the geometry of arithmetic varieties. The relation between two fundamental methods of obtaining dimension formulas (for cusp forms), the Selberg trace formula and the index theorem (Riemann-Roch's theorem and the Lefschetz fixed point formula), is examined. Comprised of 18 sections, this volume begins by discussing zeta functions associated with cones and their special values, followed by an analysis of cusps on Hilbert modular varieties and values of L-functions. The reader is then introduced to the dimension formula of Siegel modular forms; the graded rings of modular forms in several variables; and Selberg-Ihara's zeta function for p-adic discrete groups. Subsequent chapters focus on zeta functions of finite graphs and representations of p-adic groups; invariants and Hodge cycles; T-complexes and Ogata's zeta zero values; and the structure of the icosahedral modular group. This book will be a useful resource for mathematicians and students of mathematics.

    • Recent Topics in Differential and Analytic Geometry

      • 1st Edition
      • Volume 18
      • July 14, 2014
      • T. Ochiai
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 1 2 5 2
      • eBook
        9 7 8 1 4 8 3 2 1 4 6 8 9
      Advanced Studies in Pure Mathematics, Volume 18-I: Recent Topics in Differential and Analytic Geometry presents the developments in the field of analytical and differential geometry. This book provides some generalities about bounded symmetric domains. Organized into two parts encompassing 12 chapters, this volume begins with an overview of harmonic mappings and holomorphic foliations. This text then discusses the global structures of a compact Kähler manifold that is locally decomposable as an isometric product of Ricci-positive, Ricci-negative, and Ricci-flat parts. Other chapters consider the most recognized non-standard examples of compact homogeneous Einstein manifolds constructed via Riemannian submersions. This book discusses as well the natural compactification of the moduli space of polarized Einstein–Kähler orbitfold with a given Hilbert polynomials. The final chapter deals with solving a degenerate Monge–Ampère equation by constructing a family of Einstein–Kähler metrics on the smooth part of minimal varieties of general kind. This book is a valuable resource for graduate students and pure mathematicians.

    • The Boundary Element Method for Plate Analysis

      • 1st Edition
      • July 11, 2014
      • John T. Katsikadelis
      • English
      • Paperback
        9 7 8 0 1 2 8 1 0 1 1 2 4
      • Hardback
        9 7 8 0 1 2 4 1 6 7 3 9 1
      • eBook
        9 7 8 0 1 2 4 1 6 7 4 4 5
      Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering.

    • Calculus of Variations

      • 1st Edition
      • Volume 19
      • July 10, 2014
      • L. E. Elsgolc
      • I. N. Sneddon + 2 more
      • English
      • eBook
        9 7 8 1 4 8 3 1 3 7 5 6 8
      Calculus of Variations aims to provide an understanding of the basic notions and standard methods of the calculus of variations, including the direct methods of solution of the variational problems. The wide variety of applications of variational methods to different fields of mechanics and technology has made it essential for engineers to learn the fundamentals of the calculus of variations. The book begins with a discussion of the method of variation in problems with fixed boundaries. Subsequent chapters cover variational problems with movable boundaries and some other problems; sufficiency conditions for an extremum; variational problems of constrained extrema; and direct methods of solving variational problems. Each chapter is illustrated by a large number of problems some of which are taken from existing textbooks. The solutions to the problems in each chapter are provided at the end of the book.

    • Design Problem Solving

      • 1st Edition
      • July 10, 2014
      • David C. Brown + 1 more
      • English
      • Paperback
        9 7 8 0 2 7 3 0 8 7 6 6 3
      • eBook
        9 7 8 1 4 8 3 2 5 8 8 8 1
      Design Problem Solving: Knowledge Structures and Control Strategies describes the application of the generic task methodology to the problem of routine design. This book discusses the generic task methodology and what constitutes the essence of the Al approach to problem solving, including the analysis of design as an information processing activity. The basic design problem solving framework, DSPL language, and AIR-CYL Air cylinder design system are also elaborated. Other topics include the high level languages based on generic tasks, structure of a Class 3 design problem solver, and failure handling in routine design. The conceptual structure for the air cylinder and improvements to DSPL system support are likewise covered in this text. This publication is beneficial to students and specialists concerned with solving design problems.

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