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Books in English / Все науки... / Математика

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Stirling Number of the Second Kind: Stirling Number, Combinatorics, Stirling Numbers of the First Kind, Bell Number, Empty Product, Pochhammer Symbol, ... Binomial Coefficient, Sierpinski Triangle

4413.00 руб.*

Stirling Number of the Second Kind: Stirling Number, Combinatorics, Stirling Numbers of the First Kind, Bell Number, Empty Product, Pochhammer Symbol, ... Binomial Coefficient, Sierpinski Triangle

High Quality Content by WIKIPEDIA articles! In mathematics, Stirling numbers of the second kind, together with Stirling numbers of the first kind, are one of the two types of Stirling numbers. They commonly occur in the combinatorics, where they appear in the study of partitions. The Stirling numbers of the first and second kind can be understood to be inverses of one-another, when taken as triangular matrices. This article is devoted to specifics of Stirling numbers of the second kind; further identities linking the two kinds, and general information, is given in the article on Stirling numbers.
Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension

13637.00 руб.*

Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension

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.
Spin group: Mathematics, Orthogonal Group, Exact Sequence, Lie Group, Simply Connected Space, Covering Space, Reflection Through the Origin, Clifford Algebra, Clifford Analysis

3976.00 руб.*

Spin group: Mathematics, Orthogonal Group, Exact Sequence, Lie Group, Simply Connected Space, Covering Space, Reflection Through the Origin, Clifford Algebra, Clifford Analysis

High Quality Content by WIKIPEDIA articles! In mathematics the spin group Spin(n) is the double cover of the special orthogonal group SO(n), such that there exists a short exact sequence of Lie groups. In low dimensions, there are isomorphisms among the classical Lie groups called accidental isomorphisms. For instance, there are isomorphisms between low dimensional spin groups and certain classical Lie groups, due to low dimensional isomorphisms between the root systems (and corresponding isomorphisms of Dynkin diagrams) of the different families of simple Lie algebras.
Geometric properties of non-compact CR manifolds (Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore))

2794.00 руб.*

Giuseppe Della Sala

Geometric properties of non-compact CR manifolds (Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore))

The book deals with some questions related to the boundary problem in complex geometry and CR geometry. After a brief introduction summarizing the main results on the extension of CR functions, it is shown in chapters 2 and 3 that, employing the classical Harvey-Lawson theorem and under suitable conditions, the boundary problem for non-compact maximally complex real submanifolds of Cn, n=3 is solvable. In chapter 4, the regularity of Levi flat hypersurfaces Cn (n=3) with assigned boundaries is studied in the graph case, in relation to the existence theorem proved by Dolbeault, Tomassini and Zaitsev. Finally, in the last two chapters the structure properties of non-compact Levi-flat submanifolds of Cn are discussed; in particular, using the theory of the analytic multifunctions, a Liouville theorem for Levi flat submanifolds of Cn is proved.
The Statistical Analysis of Failure Time Data

5263.00 руб.*

John D. Kalbfleisch

The Statistical Analysis of Failure Time Data

The area’s benchmark text, completely revised and updated In the twenty years since publication of the first edition of The Statistical Analysis of Failure Time Data, researchers have produced a library of material on this constantly evolving area. The theoretical underpinnings of established methods have been strengthened, the scope of application has been extended, and counting process methods and related martingale convergence results have led to precise and general asymptotic results. Addressing graduate students, practitioners, and researchers, Jack Kalbfleisch and Ross Prentice update their classic text with these and other current developments in the second edition of The Statistical Analysis of Failure Time Data. The authors include exercises and examples in each chapter, tying these sophisticated methods to practical applications. The Second Edition develops the dynamics of multivariate failure time data, extends the present material on Markov and semi Markov...
Abstract and Concrete Categories: The Joy of Cats

2996.00 руб.*

Jiri Adamek, Horst Herrlich, George E. Strecker

Abstract and Concrete Categories: The Joy of Cats

This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004.
An Introduction to Complex Analysis

5318.00 руб.*

O. Carruth McGehee

An Introduction to Complex Analysis

Recent decades have seen profound changes in the way we understand complex analysis. This new work presents a much–needed modern treatment of the subject, incorporating the latest developments and providing a rigorous yet accessible introduction to the concepts and proofs of this fundamental branch of mathematics. With its thorough review of the prerequisites and well–balanced mix of theory and practice, this book will appeal both to readers interested in pursuing advanced topics as well as those wishing to explore the many applications of complex analysis to engineering and the physical sciences. ? Reviews the necessary calculus, bringing readers quickly up to speed on the material ? Illustrates the theory, techniques, and reasoning through the use of short proofs and many examples ? Demystifies complex versus real differentiability for functions from the plane to the plane ? Develops Cauchy?s Theorem, presenting the powerful and easy–to–use winding–number version ...
The Finite Element Method: Its Basis and Fundamentals, Sixth Edition

11730.00 руб.*

O. C. Zienkiewicz, R. L. Taylor, J.Z. Zhu

The Finite Element Method: Its Basis and Fundamentals, Sixth Edition

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 3 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer lgorithms. The classic FEM text, written by the subject's leading authors Enhancements include more worked examples and exercises, plus a companion website with a solutions manual and downloadable algorithms With a new chapter on automatc mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent...
Topics in Classical Automorphic Forms

5254.00 руб.*

Henryk Iwaniec

Topics in Classical Automorphic Forms

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.
Ricci Flow and the Sphere Theorem (Graduate Studies in Mathematics)

5114.00 руб.*

Simon Brendle

Ricci Flow and the Sphere Theorem (Graduate Studies in Mathematics)

In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equation is known as the Ricci flow, and it has since been used widely and with great success, most notably in Perelman's solution of the Poincare conjecture. Furthermore, various convergence theorems have been established. This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic curvature. One of the major consequences of this theory is the Differentiable Sphere Theorem: a compact Riemannian manifold whose sectional curvatures all lie in the interval (1,4] is diffeomorphic to a spherical space form. This question has a long history, dating back to a seminal paper by H. E. Rauch in 1951, and it was resolved in...


Books in English / Все науки... / Математика

 

 

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