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Books in Physical sciences and engineering

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    • Data Analysis Methods in Physical Oceanography

      • 3rd Edition
      • July 14, 2014
      • Richard E. Thomson + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 3 8 7 7 8 2 6
      • eBook
        9 7 8 0 1 2 3 8 7 7 8 3 3
      Data Analysis Methods in Physical Oceanography, Third Edition is a practical reference to established and modern data analysis techniques in earth and ocean sciences. Its five major sections address data acquisition and recording, data processing and presentation, statistical methods and error handling, analysis of spatial data fields, and time series analysis methods. The revised Third Edition updates the instrumentation used to collect and analyze physical oceanic data and adds new techniques including Kalman Filtering. Additionally, the sections covering spectral, wavelet, and harmonic analysis techniques are completely revised since these techniques have attracted significant attention over the past decade as more accurate and efficient data gathering and analysis methods.

    • 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.

    • A Collection of Problems on a Course of Mathematical Analysis

      • 1st Edition
      • July 14, 2014
      • G. N. Berman
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 6 9 0 3 3
      • eBook
        9 7 8 1 4 8 3 1 8 4 8 4 5
      Collection of Problems on a Course of Mathematical Analysis contains selected problems and exercises on the main branches of a Technical College course of mathematical analysis. This book covers the topics of functions, limits, derivatives, differential calculus, curves, definite integral, integral calculus, methods of evaluating definite integrals, and their applications. Other topics explored include numerical problems related to series and the functions of several variables in differential calculus, as well as their applications. The remaining chapters examine the principles of multiple, line, and surface integrals, the trigonometric series, and the elements of the theory of fields. This book is intended for students studying mathematical analysis within the framework of a technical college course.

    • 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.

    • 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

    • 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.

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