Handbook of Mathematical Functions

Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 0486612724
Release Date: 1965
Genre: Mathematics

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

Handbook of Mathematical Functions

Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 9780486158242
Release Date: 2012-04-30
Genre: Mathematics

A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

Formeln und S tze f r die Speziellen Funktionen der Mathematischen Physik

Author: Wilhelm Magnus
Publisher: Springer-Verlag
ISBN: 9783662417911
Release Date: 2013-12-01
Genre: Science

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.

Essential Mathematical Methods for Physicists

Author: Hans-Jurgen Weber
Publisher: Academic Press
ISBN: 9780120598779
Release Date: 2004
Genre: Mathematics

This adaptation of Arfken and Weber's bestselling 'Mathematical Methods for Physicists' is a comprehensive, accessible reference for using mathematics to solve physics problems. Introductions and review material provide context and extra support for key ideas, with detailed examples.

Plasma Physics

Author: Richard Fitzpatrick
Publisher: CRC Press
ISBN: 9781466594272
Release Date: 2014-08-01
Genre: Science

Encompasses the Lectured Works of a Renowned Expert in the Field Plasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This book looks at non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. Intended for the student market, the text provides a concise and cohesive introduction to plasma physics theory, and offers a solid foundation for students wishing to take higher level courses in plasma physics. Mathematically Rigorous, but Driven by Physics This work contains over 80 exercises—carefully selected for their pedagogical value—with fully worked out solutions available in a separate solutions manual for professors. The author provides an in-depth discussion of the various fluid theories typically used in plasma physics. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, magnetohydrodynamical fluid theory, and kinetic theory. Discusses fluid theory illustrated by the investigation of Langmuir sheaths Explores charged particle motion illustrated by the investigation of charged particle trapping in the earth’s magnetosphere Examines the WKB theory illustrated by the investigation of radio wave propagation in the earth’s ionosphere Studies the MHD theory illustrated by the investigation of solar wind, dynamo theory, magnetic reconnection, and MHD shocks Plasma Physics: An Introduction addresses applied areas and advanced topics in the study of plasma physics, and specifically demonstrates the behavior of ionized gas.

Understanding Acoustics

Author: Steven L. Garrett
Publisher: Springer
ISBN: 9783319499789
Release Date: 2017-02-24
Genre: Science

This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.

GAMMA

Author: Julian Havil
Publisher: Springer-Verlag
ISBN: 9783540484967
Release Date: 2007-04-21
Genre: Mathematics

Jeder kennt p = 3,14159..., viele kennen e = 2,71828..., einige i. Und dann? Die "viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156... - benannt nach dem genialen Leonhard Euler (1707-1783). Bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet die "obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identität, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wörterbüchern, elende mathematische Würmer und Jeeps in der Wüste. Besser kann man nicht über Mathematik schreiben. Was Julian Havil dazu zu sagen hat, ist spektakulär.

Finite Elemente

Author: Dietrich Braess
Publisher: Springer-Verlag
ISBN: 9783662072332
Release Date: 2013-07-02
Genre: Technology & Engineering

Diese völlig überarbeitete Neuauflage bietet dem Leser eine gründliche Einführung in die Methode der Finiten Elemente, welche heute verstärkt zur numerischen Lösung von partiellen Differentialgleichungen eingesetzt werden. Die Theorie wird so weit entwickelt, daß der Leser mit Kenntnissen aus den Grundvorlesungen des Mathematikstudiums auskommt. Dem für die Praxis relevanten Mehrgitterverfahren und der Methode der konjugierten Gradienten wird ein breiter Platz eingeräumt. Ausführlich wird die Strukturmechanik als ein wichtiger und typischer Anwendungsbereich für Finite Elemente behandelt. Da dieser Aspekt in anderen Lehrbüchern kaum Berücksichtigung findet, wurde er in der Neuauflage stark überarbeitet und abgerundet. Als weitere Ergänzung ist vor allem die Diskussion von a posteriori Schätzern zu nennen.

Mathematical Functions and Their Approximations

Author: Yudell L. Luke
Publisher: Academic Press
ISBN: 9781483262451
Release Date: 2014-05-10
Genre: Mathematics

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.