Skip to main content
Elsevier
View Cart

Books in Physical sciences and engineering

BooksJournals

    • Operational Calculus

      • 2nd Edition
      • Volume 109
      • July 14, 2014
      • Jan Mikusinski
      • I. N. Sneddon
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 4 4 4 1
      • eBook
        9 7 8 1 4 8 3 2 7 8 9 3 3
      Pure and Applied Mathematics, Volume 109: Operational Calculus, Second Edition. Volume I presents the foundations of operational calculus and its applications to physics and engineering. This book introduces the operators algebraically as a kind of fractions. Organized into three parts, this volume begins with an overview of the concept as well as the characteristics of a convolution of continuous functions. This text then examines the transitivity, associativity, and distributivity of convolution with regard to addition. Other parts consider the methods of solving other difference equations, particularly in the field of electrical engineering, in which the variable runs over integer values only. This book discusses as well the solution of differential equations under given initial conditions. The final part deals with the characteristic properties of a derivative and provides the definition of algebraic derivative to any operators. This book is a valuable resource for physicists, electrical engineers, mathematicians, and research workers.

    • Introduction to Calculus

      • 2nd Edition
      • Volume 17
      • July 14, 2014
      • Kazimierz Kuratowski
      • A. J. Lohwater
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 9 1 9 7
      • eBook
        9 7 8 1 4 8 3 2 2 2 6 2 2
      The English edition does not differ essentially from the Polish one. Among the more important supplements I should mention § 6.5 containing elementary information on the notation of mathematical logic. To this supplement I was inclined by the experience of many years. For many students (not for all, perhaps) the notation of definitions of certain notions by means of the logical symbols makes it easier to understand these notions (e.g. the notions of uniform continuity or uniform convergence). Besides that, this supplement is included in the book in such a manner that it can be omitted in reading the whole book. Among other changes introduced in the English text, I should mention the addition of a number of exercises and problems; in the second English edition, many of them have been collected in the Supplement. I am glad also to mention the simplification of certain proofs, and finally the removal of mistakes which were found in the primary text

    • 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.

    • 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.

    • 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.

    • 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.

    • The Theory of Lebesgue Measure and Integration

      • 1st Edition
      • Volume 15
      • July 14, 2014
      • S. Hartman + 1 more
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 3 3 6 9
      • eBook
        9 7 8 1 4 8 3 2 8 0 3 3 2
      The Theory of Lebesgue Measure and Integration deals with the theory of Lebesgue measure and integration and introduces the reader to the theory of real functions. The subject matter comprises concepts and theorems that are now considered classical, including the Yegorov, Vitali, and Fubini theorems. The Lebesgue measure of linear sets is discussed, along with measurable functions and the definite Lebesgue integral. Comprised of 13 chapters, this volume begins with an overview of basic concepts such as set theory, the denumerability and non-denumerability of sets, and open sets and closed sets on the real line. The discussion then turns to the theory of Lebesgue measure of linear sets based on the method of M. Riesz, together with the fundamental properties of measurable functions. The Lebesgue integral is considered for both bounded functions — upper and lower integrals — and unbounded functions. Later chapters cover such topics as the Yegorov, Vitali, and Fubini theorems; convergence in measure and equi-integrability; integration and differentiation; and absolutely continuous functions. Multiple integrals and the Stieltjes integral are also examined. This book will be of interest to mathematicians and students taking pure and applied mathematics.

    • 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.

Related subjects

Astronomy astrophysics space science

Built environment

Chemical engineering

Chemistry

Computer science

Earth and planetary sciences

Energy and power

Engineering and technology

Environmental sciences

Materials science

Mathematics

Physics