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    • On Applications and Theory of Functional Equations

      • 1st Edition
      • May 12, 2014
      • J. Aczél
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 6 8 2 5
      • eBook
        9 7 8 1 4 8 3 2 6 2 6 5 9
      On Applications and Theory of Functional Equations focuses on the principles and advancement of numerical approaches used in functional equations. The publication first offers information on the history of functional equations, noting that the research on functional equations originated in problems related to applied mathematics. The text also highlights the influence of J. d'Alembert, S. D. Poisson, E. Picard, and A. L. Cauchy in promoting the processes of numerical analyses involving functional equations. The role of vectors in solving functional equations is also noted. The book ponders on the international Fifth Annual Meeting on Functional Equations, held in Waterloo, Ontario, Canada on April 24-30, 1967. The meeting gathered participants from America, Asia, Australia, and Europe. One of the topics presented at the meeting focuses on the survey of materials dealing with the progress of approaches in the processes and methodologies involved in solving problems dealing with functional equations. The influence, works, and contributions of A. L. Cauchy, G. Darboux, and G. S. Young to the field are also underscored. The publication is a valuable reference for readers interested in functional equations.

    • An Introduction to Numerical Mathematics

      • 1st Edition
      • May 12, 2014
      • Eduard L. Stiefel
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 1 9 8 5
      • eBook
        9 7 8 1 4 8 3 2 2 5 4 1 8
      An Introduction to Numerical Mathematics provides information pertinent to the fundamental aspects of numerical mathematics. This book covers a variety of topics, including linear programming, linear and nonlinear algebra, polynomials, numerical differentiation, and approximations. Organized into seven chapters, this book begins with an overview of the solution of linear problems wherein numerical mathematics provides very effective algorithms consisting of finitely many computational steps. This text then examines the method for the direct solution of a definite problem. Other chapters consider the determination of frequencies in freely oscillating mechanical or electrical systems. This book discusses as well eigenvalue problems for oscillatory systems of finitely many degrees of freedom, which can be reduced to algebraic equations. The final chapter deals with the approximate representation of a function f(x) given by I-values as in the form of a table. This book is a valuable resource for physicists, mathematicians, theoreticians, engineers, and research workers.

    • Topology

      • 1st Edition
      • May 12, 2014
      • K. Kuratowski
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 1 1 8
      • eBook
        9 7 8 1 4 8 3 2 7 2 5 6 6
      Topology, Volume I deals with topology and covers topics ranging from operations in logic and set theory to Cartesian products, mappings, and orderings. Cardinal and ordinal numbers are also discussed, along with topological, metric, and complete spaces. Great use is made of closure algebra. Comprised of three chapters, this volume begins with a discussion on general topological spaces as well as their specialized aspects, including regular, completely regular, and normal spaces. Fundamental notions such as base, subbase, cover, and continuous mapping, are considered, together with operations such as the exponential topology and quotient topology. The next chapter is devoted to the study of metric spaces, starting with more general spaces, having the limit as its primitive notion. The space is assumed to be metric separable, and this includes problems of cardinality and dimension. Dimension theory and the theory of Borei sets, Baire functions, and related topics are also discussed. The final chapter is about complete spaces and includes problems of general function theory which can be expressed in topological terms. The book includes two appendices, one on applications of topology to mathematical logics and another to functional analysis. This monograph will be helpful to students and practitioners of algebra and mathematics.

    • Immunological Influence on Human Fertility

      • 1st Edition
      • May 12, 2014
      • Barry Boettcher
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 0 2 3 6
      • eBook
        9 7 8 1 4 8 3 2 6 8 9 5 8
      Immunological Influence on Human Fertility covers the proceedings of the Workshop on Fertility in Human Reproduction, held at the Department of Biological Science, University of Newcastle, Australia on July 11 -13, 1977. The book focuses on topics on the immunological control of human and animal fertility. The selection first discusses the zona pellucida as a possible target in immunocontraception, immunological aspects of vasectomy, and the clinical significance of antibodies to spermatozoa. Topics include performance and significance of the SCMC-test, antibodies and fertility after vasovasostomy, vasectomy and the blood-testis barrier, cellular immune response, active and passive immunization, and tissue and species specificity. The book then tackles the nature of the barrier to autoimmunity in the excurrent ducts of the mammalian testis, immune activities of the male and female reproductive tracts, and isolation of spermatozoal antigens. The manuscript examines the immunological capacity of the male genital tract, clinical significance of antibodies to antigens of the reproductive tract, immunological aspects of vasectomy, and antigens of human trophoblasts. The text also takes a look at the immunological and anti-tumor effects of orchidectomy, immune infertility and approaches to treatment, natural insemination as an immune phenomenon, and modified seminal plasma antigens and subfertility. The selection is a valuable source of information for researchers wanting to study the immunological control of human and animal fertility.

    • An Introduction to Probability and Mathematical Statistics

      • 1st Edition
      • May 12, 2014
      • Howard G. Tucker
      • Ralph P. Boas
      • English
      • Paperback
        9 7 8 1 4 8 3 2 1 1 7 1 8
      • eBook
        9 7 8 1 4 8 3 2 2 5 1 4 2
      An Introduction to Probability and Mathematical Statistics provides information pertinent to the fundamental aspects of probability and mathematical statistics. This book covers a variety of topics, including random variables, probability distributions, discrete distributions, and point estimation. Organized into 13 chapters, this book begins with an overview of the definition of function. This text then examines the notion of conditional or relative probability. Other chapters consider Cochran's theorem, which is of extreme importance in that part of statistical inference known as analysis of variance. This book discusses as well the fundamental principles of testing statistical hypotheses by providing the reader with an idea of the basic problem and its relation to practice. The final chapter deals with the problem of estimation and the Neyman theory of confidence intervals. This book is a valuable resource for undergraduate university students who are majoring in mathematics. Students who are majoring in physics and who are inclined toward abstract mathematics will also find this book useful.

    • Linear Algebra

      • 1st Edition
      • May 12, 2014
      • R. R. Stoll + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 5 3 3 0
      • eBook
        9 7 8 1 4 8 3 2 6 5 2 3 0
      Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understanding some of the examples and exercises. This book sets itself apart from other similar textbooks through its dedication to the principle that, whenever possible, definitions and theorems should be stated in a form which is independent of the notion of the dimension of a vector space. A second feature of this book which is worthy of mention is the early introduction of inner product spaces and the associated metric concepts. Students soon feel at ease with this class of spaces because they share so many properties with physical space when equipped with a rectangular coordinate system. Finally, the book includes a chapter concerned with several applications to other fields of the theory that have been developed.

    • Symplectic Geometry

      • 1st Edition
      • May 12, 2014
      • Carl Ludwig Siegel
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 6 0 1 6
      • eBook
        9 7 8 1 4 8 3 2 6 9 3 5 1
      Symplectic Geometry focuses on the processes, methodologies, and numerical approaches involved in symplectic geometry. The book first offers information on the symplectic and discontinuous groups, symplectic metric, and hermitian forms. Numerical calculations are presented to show the values and transformations of these groups. The text then examines the fundamental domain of the modular group and the volume of the fundamental domain of the modular group. Equations and matrices are provided to show the fundamental domain and volume of the fundamental domain of the modular group. The publication ponders on commensurable groups and unit groups of quinary quadratic forms. Numerical analyses are also offered to show the values and characteristics of commensurable and unit groups. The text is a helpful reference for researchers interested in symplectic geometry.

    • Computer Arithmetic in Theory and Practice

      • 1st Edition
      • May 12, 2014
      • Ulrich W. Kulisch + 1 more
      • Werner Rheinboldt
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 0 7 1
      • eBook
        9 7 8 1 4 8 3 2 6 4 7 3 8
      Computer Arithmetic in Theory and Practice deals with computer arithmetic and the various implementations of the entire arithmetic package on diverse processors, including microprocessors. It illustrates the importance of theoretical development in the sound implementation of arithmetic on computers, and argues that such an implementation requires the establishment of various isomorphisms between different definitions of arithmetic operations. Comprised of seven chapters, this volume begins with an introduction to the theory of computer arithmetic by giving an axiomatic characterization of the essential properties of sets and subsets; complete lattices and complete subnets; screens and roundings; and arithmetic operations. The discussion then turns to the concepts of a ringoid and a vectoid as well as those of ordered or weakly ordered ringoids and vectoids; interval arithmetic; and floating-point arithmetic. The operations in interval spaces are defined by means of semimorphisms. The final chapter shows how to embed the five basic data types (integer, real, complex, real interval, and complex interval) together with the arithmetic operations that are defined for all of these types into existing higher programming languages. This book will be helpful to students and practitioners in the fields of computer science and applied mathematics.

    • Hormonal Proteins and Peptides

      • 1st Edition
      • May 12, 2014
      • Choh Hao Li
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 2 6 8 2
      • eBook
        9 7 8 1 4 8 3 2 5 7 9 6 9
      Hormonal Proteins and Peptides, Volume I reviews extensively the knowledge on the biology and chemistry of the protein and peptide hormones. This book presents the structures of the various protein and peptide hormones. Organized into five chapters, this volume begins with an overview of the chemistry of several hormonal glycoproteins. This text then presents the research on the purification and chemistry of thyroid-stimulating hormone (TSH). Other chapters consider the study of ovine interstitial cell-stimulating hormone, and concentrate to some extent on the very closely related bovine species. This book discusses as well some aspects of the biology of the pituitary interstitial cell-stimulating hormone or luteinizing hormone in mammalian species. The final chapter deals with the correlation of the primary structure with function for a better understanding of the mechanism of action of the hormone at a molecular level. This book is a valuable resource for biologists, biochemists, and research workers.

    • Basic Real and Abstract Analysis

      • 1st Edition
      • May 12, 2014
      • John F. Randolph
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 4 6 3 0
      • eBook
        9 7 8 1 4 8 3 2 7 2 7 5 7
      Basic Real and Abstract Analysis focuses on the processes, methodologies, and approaches involved in the process of abstraction of mathematical problems. The book first offers information on orientation and sets and spaces, including equivalent and infinite sets, metric spaces, cardinals, distance and relative properties, real numbers, and absolute value and inequalities. The text then takes a look at sequences and series and measure and integration. Topics include rings and additivity, Lebesgue integration, outer measures and measurability, extended real number system, sequences in metric spaces, and series of real numbers. The publication ponders on measure theory, continuity, derivatives, and Stieltjes integrals. Discussions focus on integrators of bounded variation, Lebesgue integral relations, exponents and logarithms, bounded variation, mean values, trigonometry, and Fourier series. The manuscript is a valuable reference for mathematicians and researchers interested in the process of abstraction of mathematical equations.

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