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Books in Physical sciences and engineering

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    • A Course of Higher Mathematics

      • 1st Edition
      • July 10, 2014
      • V. I. Smirnov
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 0 0 8 0 1 3 7 1 9 3
      • eBook
        9 7 8 1 4 8 3 1 3 9 3 7 1
      International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly’s theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discussed. The text also examines set functions, absolute continuity, and generalization of the integral. Absolutely continuous set functions; absolutely continuous functions of several variables; supplementary propositions; and the properties of the Hellinger integral are presented. The text also focuses on metric and normed spaces. Separability, compactness, linear functionals, conjugate spaces, and operators in normed spaces are underscored. The book also discusses Hilbert space. Linear functionals, projections, axioms of the space, sequences of operators, and weak convergence are described. The text is a valuable source of information for students and mathematicians interested in studying the theory of functions.

    • 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.

    • Analytical Quadrics

      • 1st Edition
      • Volume 14
      • July 10, 2014
      • Barry Spain
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 0 0 8 0 1 3 6 2 6 4
      • eBook
        9 7 8 1 4 8 3 1 3 8 2 9 9
      Analytical Quadrics focuses on the analytical geometry of three dimensions. The book first discusses the theory of the plane, sphere, cone, cylinder, straight line, and central quadrics in their standard forms. The idea of the plane at infinity is introduced through the homogenous Cartesian coordinates and applied to the nature of the intersection of three planes and to the circular sections of quadrics. The text also focuses on paraboloid, including polar properties, center of a section, axes of plane section, and generators of hyperbolic paraboloid. The book also touches on homogenous coordinates. Concerns include intersection of three planes; circular sections of central quadric; straight line; and circle at infinity. The book also discusses general quadric and classification and reduction of quadric. Discussions also focus on linear systems of quadrics and plane-coordinates. The text is a valuable reference for readers interested in the analytical geometry of three dimensions.

    • The Algebraic Theory of Switching Circuits

      • 1st Edition
      • July 10, 2014
      • Gr. C. Moisil
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 8 3 4 4
      • eBook
        9 7 8 1 4 8 3 1 6 0 7 6 4
      The Algebraic Theory of Switching Circuits covers the application of various algebraic tools to the delineation of the algebraic theory of switching circuits for automation with contacts and relays. This book is organized into five parts encompassing 31 chapters. Part I deals with the principles and application of Boolean algebra and the theory of finite fields (Galois fields). Part II emphasizes the importance of the sequential operation of the automata and the variables associated to the current and to the contacts. This part also tackles the recurrence relations that describe operations of the network and the principles of the so-called characteristic equations. Part III reviews the study of networks with secondary elements other than ordinary relays, while Part IV focuses on the fundamentals and application of multi-position contacts. Part V considers several topics related to circuit with electronic elements, including triodes, pentodes, transistors, and cryotrons. This book will be of great value to practicing engineers, mathematicians, and workers in the field of computers.

    • An Introduction to the Longitudinal Static Stability of Low-Speed Aircraft

      • 1st Edition
      • July 10, 2014
      • F. G. Irving
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 1 7 9 4
      • eBook
        9 7 8 1 4 8 3 2 2 5 2 2 7
      International Series of Monographs in Aeronautics and Astronautics, Volume 5: An Introduction to the Longitudinal Static Stability of Low-Speed Aircraft covers the concepts and practical applications of longitudinal static stability and control to the design and flight testing of low-speed aircraft. This book is composed of 11 chapters, and begins with a brief overview of the concepts of static stability. The next chapters deal with the forces and moments acting on an aeroplane, particularly on the wings and tail, as well as their properties, which are expressed in mathematical terms. These topics are followed by discussions on conditions of static stability; general stability considerations; the influence of static stability on the pilot's action, and measure of static stability for flight tests. The final chapters review the maneuverability in pitch and the motion of tailplanes. This book will prove useful to undergraduate aeronautics students.

    • Lie Algebras

      • 1st Edition
      • Volume 104
      • July 10, 2014
      • Zhe-Xian Wan
      • I. N. Sneddon + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 7 1 4 9 4
      • eBook
        9 7 8 1 4 8 3 1 8 7 3 0 3
      Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semi-simple Lie algebras and the dependence of structure of semi-simple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra.

    • Writing Reaction Mechanisms in Organic Chemistry

      • 3rd Edition
      • July 10, 2014
      • Kenneth A. Savin
      • English
      • Paperback
        9 7 8 0 1 2 4 1 1 4 7 5 3
      • eBook
        9 7 8 0 1 2 4 1 0 5 0 9 6
      Writing Reaction Mechanisms in Organic Chemistry, Third Edition, is a guide to understanding the movements of atoms and electrons in the reactions of organic molecules. Expanding on the successful book by Miller and Solomon, this new edition further enhances your understanding of reaction mechanisms in organic chemistry and shows that writing mechanisms is a practical method of applying knowledge of previously encountered reactions and reaction conditions to new reactions. The book has been extensively revised with new material including a completely new chapter on oxidation and reduction reactions including stereochemical reactions. It is also now illustrated with hundreds of colorful chemical structures to help you understand reaction processes more easily. The book also features new and extended problem sets and answers to help you understand the general principles and how to apply these to real applications. In addition, there are new information boxes throughout the text to provide useful background to reactions and the people behind the discovery of a reaction. This new edition will be of interest to students and research chemists who want to learn how to organize what may seem an overwhelming quantity of information into a set of simple general principles and guidelines for determining and describing organic reaction mechanisms.

    • Multidimensional Singular Integrals and Integral Equations

      • 1st Edition
      • July 10, 2014
      • S. G. Mikhlin
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 3 2 0 7 5
      • eBook
        9 7 8 1 4 8 3 1 6 4 4 9 6
      Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics.

    • Homology Theory on Algebraic Varieties

      • 1st Edition
      • July 10, 2014
      • Andrew H. Wallace
      • I. N. Sneddon
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 0 1 8 8
      • eBook
        9 7 8 1 4 8 3 1 5 2 6 0 8
      Homology Theory on Algebraic Varieties, Volume 6 deals with the principles of homology theory in algebraic geometry and includes the main theorems first formulated by Lefschetz, one of which is interpreted in terms of relative homology and another concerns the Poincaré formula. The actual details of the proofs of these theorems are introduced by geometrical descriptions, sometimes aided with diagrams. This book is comprised of eight chapters and begins with a discussion on linear sections of an algebraic variety, with emphasis on the fibring of a variety defined over the complex numbers. The next two chapters focus on singular sections and hyperplane sections, focusing on the choice of a pencil in the latter case. The reader is then introduced to Lefschetz's first and second theorems, together with their corresponding proofs. The Poincaré formula and its proof are also presented, with particular reference to clockwise and anti-clockwise isomorphisms. The final chapter is devoted to invariant cycles and relative cycles. This volume will be of interest to students, teachers, and practitioners of pure and applied mathematics.

    • The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics

      • 1st Edition
      • Volume 79
      • July 10, 2014
      • G. N. Polozhii
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 6 9 6 5 1
      • eBook
        9 7 8 1 4 8 3 1 8 5 4 6 0
      Pure and Applied Mathematics, Volume 79: The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics presents the numerical solution of two-dimensional and three-dimensional boundary-value problems of mathematical physics. This book focuses on the second-order and fourth-order linear differential equations. Organized into two chapters, this volume begins with an overview of ordinary finite-difference equations and the general solutions of certain specific finite-difference equations. This text then examines the various methods of successive approximation that are used exclusively for solving finite-difference equations. This book discusses as well the established formula of summary representation for certain finite-difference operators that are associated with partial differential equations of mathematical physics. The final chapter deals with the formula of summary representation to enable the researcher to write the solution of the corresponding systems of linear algebraic equations in a simple form. This book is a valuable resource for mathematicians and physicists.

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