Handbook of Mathematical Functions

With Formulas, Graphs, and Mathematical Tables

Author: Milton Abramowitz,Irene A. Stegun

Publisher: Courier Corporation

ISBN: 9780486612720

Category: Mathematics

Page: 1046

View: 2748

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An extensive summary of mathematical functions that occur in physical and engineering problems

Handbook of Mathematical Functions

With Formulas, Graphs, and Mathematical Tables

Author: Milton Abramowitz,Irene A. Stegun

Publisher: Courier Corporation

ISBN: 9780486612720

Category: Mathematics

Page: 1046

View: 1520

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An extensive summary of mathematical functions that occur in physical and engineering problems

Handbook of Mathematical Functions, 1964

With Formulas, Graphs, and Mathematical Tables (Classic Reprint)

Author: Milton Abramowitz

Publisher: Forgotten Books

ISBN: 9781396774669

Category: Mathematics

Page: 1080

View: 3517

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Excerpt from Handbook of Mathematical Functions, 1964: With Formulas, Graphs, and Mathematical Tables About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Formeln und Sätze für die Speziellen Funktionen der Mathematischen Physik

Author: Wilhelm Magnus,Fritz Oberhettinger

Publisher: Springer-Verlag

ISBN: 366241791X

Category: Science

Page: 172

View: 4634

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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Angewandte Statistik

Statistische Methoden und ihre Anwendungen

Author: Lothar Sachs

Publisher: Springer-Verlag

ISBN: 3662216132

Category: Medical

Page: 553

View: 2638

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NIST Handbook of Mathematical Functions

Author: Frank W. J. Olver

Publisher: Cambridge University Press

ISBN: 0521192250

Category: Mathematics

Page: 951

View: 9468

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The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Einführung in die numerische Berechnung von Finanz-Derivaten

Computational Finance

Author: Rüdiger U. Seydel

Publisher: Springer-Verlag

ISBN: 3642597335

Category: Mathematics

Page: 154

View: 9969

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In jüngster Zeit haben Finanz-Derivate eine starke Verbreitung erfahren. Das vorliegende Lehrbuch bietet eine elementare Einführung in diejenigen Methoden der Numerik und des Wissenschaftichen Rechnens, die insbesondere für die Berechung von Optionspreisen grundlegend sind. Nach einer kurzen Beschreibung der Modellierung von Standard-Optionen folgt als erster Hauptteil die numerische Simulation der Stochastik mit der Berechnung von Zufallszahlen, der Integration von stochastischen Differentialgleichungen und dem Einsatz von Monte-Carlo-Verfahren. Der zweite Hauptteil konzentriert sich auf die Numerik zu den Black-Scholes Ansätzen mit partiellen Differential-Gleichungen und -Ungleichungen. Dabei werden Lösungsalgorithmen von Differenzenverfahren und von Finite-Element-Verfahren erklärt. Übungsaufgaben, instruktive Abbildungen sowie themenbezogene Anhänge runden das Buch ab. Lösungshinweise zu ausgewählten Aufgaben werden unter http://www.mi.uni-koeln.de/numerik/compfin/ bereitgestellt.

Mathematical Functions and Their Approximations

Author: Yudell L. Luke

Publisher: Academic Press

ISBN: 1483262456

Category: Mathematics

Page: 586

View: 1743

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Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.

Dynamik von Schadstoffen — Umweltmodellierung mit CemoS

Eine Einführung

Author: Stefan Trapp,Michael Matthies

Publisher: Springer-Verlag

ISBN: 364279775X

Category: Science

Page: 277

View: 8260

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Das Buch wendet sich an alle, die Interesse an dem immer wichtiger werdenden Gebiet der Schadstoffausbreitung in der Umwelt haben. Der didaktisch gut aufbereitete Text erleichtert den schnellen Einstieg ohne überflüssigen mathematischen Ballast und ermuntert zum Selbststudium. Die Modelle werden Schritt für Schritt und nach einem einheitlichen Konzept erläutert. Übungsaufgaben im Buch und die Diskette mit Modelling-Software (CemoS), Übungsdatensätzen sowie eine Substanz- und Umweltdatenbank für IBM-PC und Kompatible sichern und festigen das erworbene Wissen und erlauben eigene Berechnungen.

Handbook of Continued Fractions for Special Functions

Author: Annie A.M. Cuyt,Vigdis Petersen,Brigitte Verdonk,Haakon Waadeland,William B. Jones

Publisher: Springer Science & Business Media

ISBN: 9781402069499

Category: Mathematics

Page: 431

View: 2597

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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!

Intelligent Computer Mathematics

MKM, Calculemus, DML, and Systems and Projects 2013, Held as Part of CICM 2013, Bath, UK, July 8-12, 2013, Proceedings

Author: Jacques Carette,David Aspinall,Christoph Lange,Petr Sojka,Wolfgang Windsteiger

Publisher: Springer

ISBN: 3642393209

Category: Computers

Page: 384

View: 4303

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This book constitutes the joint refereed proceedings of the 20th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2013, 6th International Workshop on Digital Mathematics Libraries, DML 2013, Systems and Projects, held in Bath, UK as part of CICM 2013, the Conferences on Intelligent Computer Mathematics. The 7 revised full papers out of 18 submissions for MKM 2013, 5 revised full papers out of 12 submissions for Calculemus 2013, 6 revised full papers out of 8 submissions for DML 2013, and 12 revised full papers out of 16 submissions for Systems and Project track presented together with 3 invited talks were carefully reviewed and selected, resulting in 33 papers from a total of 73 submissions.

Mathematical Methods for Physicists

Author: George B. Arfken

Publisher: Academic Press

ISBN: 1483277828

Category: Mathematics

Page: 1008

View: 5245

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Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

Mathematical Aspects of Pattern Formation in Biological Systems

Author: Juncheng Wei,Matthias Winter

Publisher: Springer Science & Business Media

ISBN: 1447155262

Category: Mathematics

Page: 319

View: 2315

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This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.

DNA of Mathematics

Author: Dr. Mehran Basti

Publisher: FriesenPress

ISBN: 1460239563

Category: Religion

Page: 280

View: 4003

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For Dr. Basti, the explanation is straightforward though not simple: "Just as cells have dna, so mathematics has DNA in its structure." After years of research, he decided that his work had to contain a strong philosophical justification in order to stand the test of time. Part memoir and part manifesto, DNA of Mathematics introduces Mehran Basti's readers to both the research he has dedicated his career to and his personal background and beliefs which significantly impact his scientific work.

Survival Models and Data Analysis

Author: Regina C. Elandt-Johnson,Norman L. Johnson

Publisher: John Wiley & Sons

ISBN: 1119011035

Category: Mathematics

Page: 480

View: 8238

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Survival analysis deals with the distribution of life times, essentially the times from an initiating event such as birth or the start of a job to some terminal event such as death or pension. This book, originally published in 1980, surveys and analyzes methods that use survival measurements and concepts, and helps readers apply the appropriate method for a given situation. Four broad sections cover introductions to data, univariate survival function, multiple-failure data, and advanced topics.

Essentials of Math Methods for Physicists

Author: Hans J. Weber,George B. Arfken

Publisher: Academic Press

ISBN: 1483225623

Category: Science

Page: 960

View: 350

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Essentials of Math Methods for Physicists aims to guide the student in learning the mathematical language used by physicists by leading them through worked examples and then practicing problems. The pedagogy is that of introducing concepts, designing and refining methods and practice them repeatedly in physics examples and problems. Geometric and algebraic approaches and methods are included and are more or less emphasized in a variety of settings to accommodate different learning styles of students. Comprised of 19 chapters, this book begins with an introduction to the basic concepts of vector algebra and vector analysis and their application to classical mechanics and electrodynamics. The next chapter deals with the extension of vector algebra and analysis to curved orthogonal coordinates, again with applications from classical mechanics and electrodynamics. These chapters lay the foundations for differential equations, variational calculus, and nonlinear analysisin later discussions. High school algebra of one or two linear equations is also extended to determinants and matrix solutions of general systems of linear equations, eigenvalues and eigenvectors, and linear transformations in real and complex vector spaces. The book also considers probability and statistics as well as special functions and Fourier series. Historical remarks are included that describe some physicists and mathematicians who introduced the ideas and methods that were perfected by later generations to the tools routinely used today. This monograph is intended to help undergraduate students prepare for the level of mathematics expected in more advanced undergraduate physics and engineering courses.

Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

ISBN: 0486317072

Category: Mathematics

Page: 416

View: 3887

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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Map Projections

Cartographic Information Systems

Author: Erik W. Grafarend,Rey-Jer You,Rainer Syffus

Publisher: Springer

ISBN: 3642364942

Category: Science

Page: 935

View: 6718

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In the context of Geographical Information Systems (GIS) the book offers a timely review of Map Projections. The first chapters are of foundational type. We introduce the mapping from a left Riemann manifold to a right one specified as conformal, equiaerial and equidistant, perspective and geodetic. In particular, the mapping from a Riemann manifold to a Euclidean manifold ("plane") and the design of various coordinate systems are reviewed . A speciality is the treatment of surfaces of Gaussian curvature zero. The largest part is devoted to the mapping the sphere and the ellipsoid-of-revolution to tangential plane, cylinder and cone (pseudo-cone) using the polar aspect, transverse as well as oblique aspect. Various Geodetic Mappings as well as the Datum Problem are reviewed. In the first extension we introduce optimal map projections by variational calculus for the sphere, respectively the ellipsoid generating harmonic maps. The second extension reviews alternative maps for structures , namely torus (pneu), hyperboloid (cooling tower), paraboloid (parabolic mirror), onion shape (church tower) as well as clothoid (Hight Speed Railways) used in Project Surveying. Third, we present the Datum Transformation described by the Conformal Group C10 (3) in a threedimensional Euclidean space , a ten parameter conformal transformation. It leaves infinitesimal angles and distance ratios equivariant. Numerical examples from classical and new map projections as well as twelve appendices document the Wonderful World of Map Projections.