В этом разделе вы можете найти различные книги: художественную литературу и беллетристику на иностранных языках, пособия и методички, учебную и справочную литературу по изучающему языку. К вашему вниманию художественная литература на немецком и английском языке. Словари и энциклопедии. А понравившиеся издания вы можете заказать с доставкой.
High Quality Content by WIKIPEDIA articles! The physical meaning of the scalar potential depends on the type of the field. For a velocity field of a fluid or gas flow, the definition of the scalar potential implies that the direction of the flow at any point coincides with the direction of the steepest decrease of the potential at that point, and for a force field the same is true of the acceleration at a point. The scalar potential of a force field is closely related to the field's potential energy. Not every vector field has a scalar potential; those which do are called conservative, corresponding to the notion of conservative force in physics. Among velocity fields, any lamellar field has a scalar potential, whereas a solenoidal field only has a scalar potential in the special case when it is a Laplacian field.
High Quality Content by WIKIPEDIA articles! In calculus, Taylor's theorem gives a sequence of approximations of a differentiable function around a given point by polynomials (the Taylor polynomials of that function) whose coefficients depend only on the derivatives of the function at that point. The theorem also gives precise estimates on the size of the error in the approximation. The theorem is named after the mathematician Brook Taylor, who stated it in 1712, though the result was first discovered 41 years earlier in 1671 by James Gregory.
a??Any reader who aspires to be scientifically literate will find this a good starting place.a??a??Publishers Weekly While we may be familiar with some of sciencea??s greatest equations, we may not know that each and every equation emerged not in a??Eureka!a?? moments but in years of cultural developments and scientific knowledge. With vignettes full of humor, drama, and eccentricity, philosopher and science historian Robert P. Crease shares the stories behind ten of historya??s greatest equations, from the a??first equation,a?? 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenberga??s uncertainty principle, which reveals the limitations of human knowledge. For every equation, Crease provides a brief account of who discovered it, what dissatisfactions lay behind its discovery, and what the equation says about the nature of our world. 43 illustrations.
High Quality Content by WIKIPEDIA articles! In cryptography, an S-Box (Substitution-box) is a basic component of symmetric key algorithms which performs substitution. In block ciphers, they are typically used to obscure the relationship between the key and the ciphertext ? Shannon's property of confusion. In many cases, the S-Boxes are carefully chosen to resist cryptanalysis. In general, an S-Box takes some number of input bits, m, and transforms them into some number of output bits, n: an m?n S-Box can be implemented as a lookup table with 2m words of n bits each. Fixed tables are normally used, as in the Data Encryption Standard (DES), but in some ciphers the tables are generated dynamically from the key; e.g. the Blowfish and the Twofish encryption algorithms.
This companion book thoroughly describes the actual implementation of the majority of the models developed in Practical Financial Optimization, in the General Algebraic Modelling System, GAMS. In addition, the volume contains executable versions of these models, and a CD containing the software needed to execute them.
High Quality Content by WIKIPEDIA articles! In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and since their introduction by Jean Leray in 1946, they have become an important research tool, particularly in homotopy theory. However, they have a reputation for being abstruse and difficult to comprehend.
The book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often nonstandard exposition of familiar topics of the theory, particular attention is paid to such subjects as theta-functions and representations by quadratic forms.
Combines three important areas of modern mathematics - dynamical systems, measure theory, and ergodic theory. Contains practical applications as diverse as random number generation, computer modeling, rotary drills, population dynamics and projective geometry. DLC: Chaotic behavior in systems.
High Quality Content by WIKIPEDIA articles! In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multi-linear concept. Their well-known properties can be derived from their definitions, as linear maps or more generally; and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear algebra. In differential geometry an intrinsic geometric statement may be described by a tensor field on a manifold, and then doesn't need to make reference to coordinates at all. The same is true in general relativity, of tensor fields describing a physical property. The component-free approach is also used heavily in abstract algebra and homological algebra, where tensors arise naturally.
This book presents the full range of computational science and engineering - the equations, numerical methods, and algorithms with MATLABA® codes. The author has taught this material to thousands of engineers and scientists. The book is solution-based an not formula-based: it covers applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis, optimization, and more.
* Указанная цена за книгу может отличаться от той, по которой продается она в онлайн-магазине Ozon.ru, партнером которого является Ranez.Ru. Администрация сайта Ranez.Ru ни коим образом не гарантирует ни цену, ни наличие этой книги на складе у продавца, равно как и возможность ее купить. На сайте Ranez.Ru представлена только информация о книге, оформление покупки, оплата и вопросы с доставкой решаются на сайте онлайн-магазина Ozon.ru.
Данный интернет-сайт носит исключительно информационный характер, и ни при каких условиях информационные материалы и цены, размещенные на сайте, не являются публичной офертой, определяемой положениями Статьи 437 ГК РФ.