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    Lectures on Numerical Methods

    Posted By: AvaxGenius
    Lectures on Numerical Methods

    Lectures on Numerical Methods by I. P. Mysovskih
    English | PDF | 1969 | 351 Pages | ISBN : 9401174857 | 18 MB

    The course of lectures on numerical methods (part I) given by the author to students in the numerical third of the course of the mathematics­ mechanics department of Leningrad State University is set down in this volume. Only the topics which, in the opinion of the author, are of the greatest value for numerical methods are considered in this book. This permits making the book comparatively small in size, and, the author hopes, accessible to a sufficiently wide circle of readers. The book may be used not only by students in daily classes, but also by students taking correspondence courses and persons connected with practical computa­ tion who desire to improve their theoretical background. The author is deeply grateful to V. I. Krylov, the organizer ofthe course on numerical methods (part I) at Leningrad State University, for his considerable assistance and constant interest in the work on this book, and also for his attentive review of the manuscript. The author is very grateful to G. P. Akilov and I. K. Daugavet for a series of valuable suggestions and observations. The Author Chapter I NUMERICAL SOLUTION OF EQUATIONS In this chapter, methods for the numerical solution of equations of the form P(x) = 0, will be considered, where P(x) is in general a complex-valued function.

    Stochastic Modelling and Control

    Posted By: AvaxGenius
    Stochastic Modelling and Control

    Stochastic Modelling and Control by M. H. A. Davis , R. B. Vinter
    English | PDF | 1985 | 405 Pages | ISBN : 9401086400 | 24.6 MB

    This book aims to provide a unified treatment of input/output modelling and of control for discrete-time dynamical systems subject to random disturbances. The results presented are of wide applica­ bility in control engineering, operations research, econometric modelling and many other areas. There are two distinct approaches to mathematical modelling of physical systems: a direct analysis of the physical mechanisms that comprise the process, or a 'black box' approach based on analysis of input/output data.

    Language, Truth and Logic in Mathematics

    Posted By: AvaxGenius
    Language, Truth and Logic in Mathematics

    Language, Truth and Logic in Mathematics by Jaakko Hintikka
    English | PDF | 1998 | 257 Pages | ISBN : 0792347668 | 26.8 MB

    One can distinguish, roughly speaking, two different approaches to the philosophy of mathematics. On the one hand, some philosophers (and some mathematicians) take the nature and the results of mathematicians' activities as given, and go on to ask what philosophical morals one might perhaps find in their story. On the other hand, some philosophers, logicians and mathematicians have tried or are trying to subject the very concepts which mathematicians are using in their work to critical scrutiny. In practice this usually means scrutinizing the logical and linguistic tools mathematicians wield. Such scrutiny can scarcely help relying on philosophical ideas and principles. In other words it can scarcely help being literally a study of language, truth and logic in mathematics, albeit not necessarily in the spirit of AJ. Ayer.

    Geometric Constructions

    Posted By: AvaxGenius
    Geometric Constructions

    Geometric Constructions by George E. Martin
    English | PDF | 1998 | 210 Pages | ISBN : 0387982760 | 17.3 MB

    Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations.

    A First Course in Real Analysis

    Posted By: AvaxGenius
    A First Course in Real Analysis

    A First Course in Real Analysis by Sterling K. Berberian
    English | PDF | 1994 | 249 Pages | ISBN : 0387942173 | 16.6 MB

    Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers.

    Tools for Computational Finance

    Posted By: AvaxGenius
    Tools for Computational Finance

    Tools for Computational Finance by Rüdiger Seydel
    English | PDF | 2004 | 256 Pages | ISBN : 3540406042 | 18.9 MB

    This edition contains more material. The largest addition is a new section on jump processes (Section 1.9). The derivation of a related partial integro­ differential equation is included in Appendix A3. More material is devoted to Monte Carlo simulation. An algorithm for the standard workhorse of in­ verting the normal distribution is added to Appendix A7. New figures and more exercises are intended to improve the clarity at some places.

    Punctured Torus Groups and 2-Bridge Knot Groups (I) (Repost)

    Posted By: AvaxGenius
    Punctured Torus Groups and 2-Bridge Knot Groups (I) (Repost)

    Punctured Torus Groups and 2-Bridge Knot Groups (I) by Hirotaka Akiyoshi
    English | PDF | 2007 | 293 Pages | ISBN : 3540718060 | 4.8 MB

    This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory.

    Trigonometry

    Posted By: AvaxGenius
    Trigonometry

    Trigonometry by I. M. Gelfand
    English | PDF,EPUB | 2001 | 236 Pages | ISBN : 0817639144 | 17.9 MB

    In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science.

    Algorithms: Main Ideas and Applications

    Posted By: AvaxGenius
    Algorithms: Main Ideas and Applications

    Algorithms: Main Ideas and Applications by Vladimir Uspensky
    English | PDF | 1993 | 280 Pages | ISBN : 079232210X | 29.53 MB

    Today the notion of the algorithm is familiar not only to mathematicians. It forms a conceptual base for information processing; the existence of a corresponding algorithm makes automatic information processing possible.