Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
Author: Milton Abramowitz
Publisher:
Published: 1964
Total Pages: 1078
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Milton Abramowitz
Publisher:
Published: 1964
Total Pages: 1078
ISBN-13:
DOWNLOAD EBOOKAuthor: Milton Abramowitz
Publisher: Courier Corporation
Published: 1965-01-01
Total Pages: 1068
ISBN-13: 9780486612720
DOWNLOAD EBOOKAn extensive summary of mathematical functions that occur in physical and engineering problems
Author: Andrew Young
Publisher:
Published: 1964
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOKAuthor: National Physical Laboratory (Great Britain)
Publisher:
Published: 1962
Total Pages: 64
ISBN-13:
DOWNLOAD EBOOKAuthor: Royal Society of London. Mathematical Tables Committee
Publisher:
Published: 1964
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOKAuthor: Wolfgang Schweizer
Publisher: Springer Nature
Published: 2021-03-25
Total Pages: 282
ISBN-13: 3030642321
DOWNLOAD EBOOKThis handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.
Author: Gérard René Lemaitre
Publisher: Springer Science & Business Media
Published: 2008-12-04
Total Pages: 575
ISBN-13: 3540689052
DOWNLOAD EBOOKAstronomical Optics and Elasticity Theory provides a very thorough and comprehensive account of what is known in this field. After an extensive introduction to optics and elasticity, the book discusses variable curvature and multimode deformable mirrors, as well as, in depth, active optics, its theory and applications. Further, optical design utilizing the Schmidt concept and various types of Schmidt correctors, as well as the elasticity theory of thin plates and shells are elaborated upon. Several active optics methods are developed for obtaining aberration corrected diffraction gratings. Further, a weakly conical shell theory of elasticity is elaborated for the aspherization of grazing incidence telescope mirrors. The very didactic and fairly easy-to-read presentation of the topic will enable PhD students and young researchers to actively participate in challenging astronomical optics and instrumentation projects.
Author: Willi Freeden
Publisher: Springer Science & Business Media
Published: 2013-02-15
Total Pages: 505
ISBN-13: 3034805632
DOWNLOAD EBOOKSpecial functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises.
Author: Keith B. Oldham
Publisher: Springer Science & Business Media
Published: 2010-07-15
Total Pages: 737
ISBN-13: 0387488073
DOWNLOAD EBOOKThis book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.