Mathematics general print books and ebooks | Elsevier

Fourier Analysis in Probability Theory

1st Edition
June 17, 2014
Tatsuo Kawata
Z. W. Birnbaum + 1 more
English
Paperback
9 7 8 1 4 8 3 2 0 5 0 9 0
eBook
9 7 8 1 4 8 3 2 1 8 5 2 6

Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the clarification of the interactions and analogies among these theories. Chapters 1 to 8 present the elements of classical Fourier analysis, in the context of their applications to probability theory. Chapters 9 to 14 are devoted to basic results from the theory of characteristic functions of probability distributors, the convergence of distribution functions in terms of characteristic functions, and series of independent random variables. This book will be of value to mathematicians, engineers, teachers, and students.

Nonlinear Problems of Engineering

1st Edition
May 12, 2014
William F. Ames
English
Paperback
9 7 8 1 4 8 3 2 1 2 3 8 8
eBook
9 7 8 1 4 8 3 2 2 5 8 1 4

Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.

Study Guide to Accompany Computers Data and Processing

1st Edition
May 10, 2014
Harvey M. Deitel + 1 more
English
Paperback
9 7 8 0 1 2 2 0 9 0 2 1 9
eBook
9 7 8 1 4 8 3 2 6 4 3 8 7

Study Guide to Accompany Computer and Data Processing provides information pertinent to the fundamental aspects of computers and computer technology. This book presents the key benefits of using computers. Organized into five parts encompassing 19 chapters, this book begins with an overview of the evolution of modern computing systems from the earliest mechanical calculating devices to microchips. This text then introduces computer hardware and describes the processor. Other chapters describe how microprocessors are made and describe the physical operation of computers. This book discusses as well how computers present their outputs and explains the storage and retrieval of massive amounts of computer-accessible information from secondary storage devices. The final chapter discusses the use of computers in the transportation systems and the ways in which they make possible other innovations in transportation. This book is a valuable resource for computer scientists, systems analysts, computer programmers, mathematicians, historians, computer specialists, and students.

An Introduction to Algebraic and Combinatorial Coding Theory

1st Edition
May 10, 2014
Ian F. Blake + 1 more
English
Paperback
9 7 8 0 1 2 1 0 3 5 6 0 0
eBook
9 7 8 1 4 8 3 2 6 0 2 9 7

An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.

Calculus Using Mathematica

1st Edition
May 10, 2014
K.D. Stroyan
English
Paperback
9 7 8 0 1 2 6 7 2 9 7 5 7
eBook
9 7 8 1 4 8 3 2 1 4 3 4 4

Calculus Using Mathematica: Scientific Projects and Mathematical Background is a companion to the core text, Calculus Using Mathematica. The book contains projects that illustrate applications of calculus to a variety of practical situations. The text consists of 14 chapters of various projects on how to apply the concepts and methodologies of calculus. Chapters are devoted to epidemiological applications; log and exponential functions in science; applications to mechanics, optics, economics, and ecology. Applications of linear differential equations; forced linear equations; differential equations from vector geometry; and to chemical reactions are presented as well. College students of calculus will find this book very helpful.

Elementary Analysis

1st Edition
May 16, 2014
K. S. Snell + 1 more
W. J. Langford + 1 more
English
Paperback
9 7 8 0 0 8 0 1 0 7 8 2 0
eBook
9 7 8 1 4 8 3 1 3 7 0 8 7

Elementary Analysis, Volume 1 introduces the reader to elementary analysis in an informal manner and provides the practical experience in algebraic and analytic operations to lay a sound foundation of basic skills. The preliminary ideas are illustrated by applications to the simpler algebraic functions. Emphasis is on fundamental principles, rather than manipulative techniques. This volume is comprised of 14 chapters and begins with a discussion on number systems, covering concepts ranging from number scales to rational and real numbers, binary operations, and deductive methods. The following chapters deal with sets, vectors and congruences, and functions. Exponential and logarithmic functions, the straight line, and linear function are also considered. The remaining chapters focus on the quadratic function; the principle of mathematical induction and its applications; differentiation and the inverse process; and integration and its applications. Differential equations are presented, along with the definite integral. This book will be of particular value to teachers and students in training colleges.

Integral Geometry and Representation Theory

1st Edition
May 12, 2014
I. M. Gel'fand + 2 more
English
eBook
9 7 8 1 4 8 3 2 6 2 2 5 3

Generalized Functions, Volume 5: Integral Geometry and Representation Theory is devoted to the theory of representations, focusing on the group of two-dimensional complex matrices of determinant one. This book emphasizes that the theory of representations is a good example of the use of algebraic and geometric methods in functional analysis, in which transformations are performed not on the points of a space, but on the functions defined on it. The topics discussed include Radon transform on a real affine space, integral transforms in the complex domain, and representations of the group of complex unimodular matrices in two dimensions. The properties of the Fourier transform on G, integral geometry in a space of constant curvature, harmonic analysis on spaces homogeneous with respect to the Lorentz Group, and invariance under translation and dilation are also described. This volume is suitable for mathematicians, specialists, and students learning integral geometry and representation theory.

Distributed Computer Control Systems 1981

1st Edition
May 20, 2014
William E. Miller
English
Paperback
9 7 8 1 4 8 3 1 2 0 3 8 6
eBook
9 7 8 1 4 8 3 1 5 2 8 0 6

Distributed Computer Control Systems 1981 covers the proceedings of the Third IFAC Workshop, held in Beijing, China on August 13-17, 1981. The book focuses on the advancements of processes, technologies, and approaches employed in distributed computer control systems (DCCS). The selection first offers information on the summary report of the Third IFAC Workshop on Distributed Computer Control Systems and application of DCCS to the modernization of metal rolling mills. Discussions focus on system architecture, hot strip process, software structuring, and man-machine interface. The text then examines distributed microcomputer control systems for electrical power plants; distributed versus centralized computer control systems of industrial continuous process; and practical considerations for design and implementation of distributed digital control. The text takes a look at the architectural considerations of DCCS and its use in scientific experiments. Topics include system interaction software for the ECN, architectural schemes of DCCS, comparison of DCCS and multiprocessors, generalization of the concept of parallelism, and combined architectural realization of parallelism. The partitioning and synchronization concepts for computing dynamical systems algorithms on distributed computer control networks and scheduling of DCCS for industrial robots are also discussed. The selection is a vital reference for readers interested in distributed computer control systems.

The Mathematics of Finite Elements and Applications

1st Edition
May 10, 2014
J. R. Whiteman
English
Paperback
9 7 8 1 4 8 3 2 4 8 4 1 7
eBook
9 7 8 1 4 8 3 2 6 8 8 4 2

The Mathematics of Finite Elements and Applications provides information pertinent to the mathematics of finite elements, applications, algorithms, and computational techniques. This book discusses the developments in the mathematics of finite elements. Organized into 32 chapters, this book begins with an overview of the basis of the finite element process as a general approximation tool. This text then examines the methods for obtaining bounds on the errors in finite element solutions to two-dimensional elliptic boundary value problems defined on simply connected polygonal regions. Other chapters consider the practical implementation of the Galerkin and the Rayleigh–Ritz methods to equations of importance to physics and engineering. This book discusses as well a fundamental investigation into the problem of convergence in the finite element method. The final chapter deals with an algorithm that is applicable to the analysis of arbitrary plane stress or plane strain configurations. This book is a valuable resource for numerical analysts, mathematical physicist, applied mathematicians, computer scientists, and engineers.

A Survey of Combinatorial Theory

1st Edition
May 12, 2014
Jagdish N. Srivastava
English
Paperback
9 7 8 1 4 8 3 2 5 0 0 0 7
eBook
9 7 8 1 4 8 3 2 7 8 1 7 9

A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.

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