Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

Books Journals

The Mathematica® Programmer

1st Edition
May 10, 2014
Roman E. Maeder
English
eBook
9 7 8 1 4 8 3 2 1 4 1 5 3

The Mathematica Programmer covers the fundamental programming paradigms and applications of programming languages. This book is organized into two parts encompassing 10 chapters. Part 1 begins with an overview of the programming paradigms. This part also treats abstract data types, polymorphism and message passing, object-oriented programming, and relational databases. Part 2 looks into the practical aspects of programming languages, including in lists and power series, fractal curves, and minimal surfaces. This book will prove useful to mathematicians and computer scientists.

Nonlinear Programming 2

1st Edition
May 10, 2014
O. L. Mangasarian + 2 more
English
eBook
9 7 8 1 4 8 3 2 6 0 4 1 9

Nonlinear Programming 2 covers the proceedings of the Special Interest Group on Mathematical Programming Symposium conducted by the Computer Sciences Department at the University of Wisconsin, Madison, on April 15-17, 1974. This book is divided into 13 chapters and begins with a survey of the global and superlinear convergence of a class of algorithms obtained by imposing changing bounds on the variables of the problem. The succeeding chapters deal with the convergence of the well-known reduced gradient method under suitable conditions and a superlinearly convergent quasi-Newton method for unconstrained minimization. These topics are followed by discussion of a superlinearly convergent algorithm for linearly constrained optimization problems and the effective methods for constrained optimization, namely the method of augmented Lagrangians. Other chapters explore a method for handling minimization problems with discontinuous derivatives and the advantages of factorizations of updating for Jacobian-related matrices in minimization problems. The last chapters present the Newton-like methods for the solution of nonlinear equations and inequalities, along with the various aspects of integer programming. This book will prove useful to mathematicians and computer scientists.

Nonlinear Programming 3

1st Edition
May 10, 2014
Olvi L. Mangasarian + 2 more
English
eBook
9 7 8 1 4 8 3 2 6 0 3 2 7

Nonlinear Programming 3 covers the proceedings of the Special Interest Group on Mathematical Programming Symposium conducted by the Computer Sciences Department at the University of Wisconsin, Madison, on July 11-13, 1977. This book is composed of 17 chapters. The first eight chapters describe some of the most effective methods available for solving linearly and nonlinearly constrained optimization problems. The subsequent chapter gives algorithms for the solution of nonlinear equations together with computational experience. Other chapters provide some applications of optimization in operations research and a measurement procedure for optimization algorithm efficiency. These topics are followed by discussion of the methods for solving large quadratic programs and algorithms for solving stationary and fixed point problems. The last chapters consider the minimization of certain types of nondifferentiable functions and a type of Newton method. This book will prove useful to mathematicians and computer scientists.

Nonlinear Programming 4

1st Edition
May 10, 2014
Olvi L. Mangasarian + 2 more
English
eBook
9 7 8 1 4 8 3 2 6 0 1 7 4

Nonlinear Programming, 4 focuses on linear, quadratic, and nonlinear programming, unconstrained minimization, nonsmooth and discrete optimization, ellipsoidal methods, linear complementarity problems, and software evaluation. The selection first elaborates on an upper triangular matrix method for quadratic programming, solving quadratic programs by an exact penalty function, and QP-based methods for large-scale nonlinearly constrained optimization. Discussions focus on large-scale linearly constrained optimization, search direction for superbasic variables, finite convergence, basic properties, comparison of three active set methods, and QP-based methods for dense problems. The book then examines an iterative linear programming algorithm based on an augmented Lagrangian and iterative algorithms for singular minimization problems. The publication ponders on the derivation of symmetric positive definite secant updates, preconditioned conjugate gradient methods, and finding the global minimum of a function of one variable using the method of constant signed higher order derivatives. Topics include effects of calculation errors, application to polynomial minimization, using moderate additional storage, updating Cholesky factors, and utilizing sparse second order information. The selection is a valuable source of data for researchers interested in nonlinear programming.

FORTRAN

1st Edition
May 10, 2014
Samuel L. Marateck
English
eBook
9 7 8 1 4 8 3 2 7 1 9 4 1

FORTRAN is written for students who have no prior knowledge of computers or programming. The book aims to teach students how to program using the FORTRAN language. The publication first elaborates on an introduction to computers and programming, introduction to FORTRAN, and calculations and the READ statement. Discussions focus on flow charts, rounding numbers, strings, executing the program, the WRITE and FORMAT statements, performing an addition, input and output devices, and algorithms. The text then takes a look at functions and the IF statement and the DO Loop, the IF-THEN-ELSE and the WHILE loop, including applications of the DO loop, the LOGICAL declaration statement, library functions, other applications of the IF statement, and writing REAL constants in exponential form. The manuscript ponders on subscripted variables, the DATA statement, and the implied DO loop, doubly subscripted variables and matrix multiplication, input/output, and functions, subprograms, and subroutines. Topics include statement functions, subprograms calling other subprograms, reading using X format, control characters, reading using F format, INTEGER subscripted variables, and matrix multiplication. The publication is a dependable source of data for computer programmers and students interested in the FORTRAN language.

A Fête of Topology

1st Edition
May 10, 2014
Y. Matsumoto + 2 more
English
eBook
9 7 8 1 4 8 3 2 5 9 1 8 5

A Fête of Topology: Papers Dedicated to Itiro Tamura focuses on the progress in the processes, methodologies, and approaches involved in topology, including foliations, cohomology, and surface bundles. The publication first takes a look at leaf closures in Riemannian foliations and differentiable singular cohomology for foliations. Discussions focus on differentiable singular chains restricted to leaves, differentiable singular cohomology for foliations, covering of pseudogroups and fundamental group, normal type of an orbit closure, and construction of a global model. The text then takes a look at measure of exceptional minimal sets of codimension one foliations, examples of exceptional minimal sets, foliations transverse to non-singular Morse-Smale flows, and Chern character for discrete groups. The manuscript ponders on characteristic classes of surface bundles and bounded cohomology, Hill's equation, isomonodromy deformation and characteristic classes, and topology of folds, cusps, and Morin singularities. Topics include system of Hill's equations, Lagrange-Grassman manifold, positive curves, Morse theory, bounded cohomology, and characteristic classes of surface bundles. The publication is a vital source of information for researchers interested in topology.

Programming Primer for the Macintosh®

1st Edition
May 10, 2014
John M. May + 1 more
English
eBook
9 7 8 1 4 8 3 2 6 5 5 5 1

Programming Primer for the Macintosh, Volume 1 focuses on the principles and operations of the Macintosh system. The publication first offers information on the development environment, creating a simple program with Symantec C++, and a review of C++. Discussions focus on pointers, handles, patterns, points, creating a source file, compiling the program, adding libraries, adding file to the subject, building an application, and useful tools. The text then takes a look at the Macintosh ROM, Mac programs and system software, and toolbox managers. Topics include menu, window, control, and dialog manager, alerts, desktop interface, event-driven programming, trap mechanism, interface and library files, stack frame incompatibility, and the relationship between an application and toolbox. The book examines QuickDraw, alerts, and dialogs, memory manager, and object-oriented programming. Concerns include structures, linked list example, new and delete operators, and handling lines, rectangles, round rectangles, ovals, arcs, and polygons The publication is a dependable reference for computer programmers and researchers interested in the Macintosh system.

Stochastic Analysis

1st Edition
May 10, 2014
Eddy Mayer-Wolf + 2 more
English
eBook
9 7 8 1 4 8 3 2 1 8 7 0 0

Stochastic Analysis: Liber Amicorum for Moshe Zakai focuses on stochastic differential equations, nonlinear filtering, two-parameter martingales, Wiener space analysis, and related topics. The selection first ponders on conformally invariant and reflection positive random fields in two dimensions; real time architectures for the Zakai equation and applications; and quadratic approximation by linear systems controlled from partial observations. Discussions focus on predicted miss, review of basic sequential detection problems, multigrid algorithms for the Zakai equation, invariant test functions and regularity, and reflection positivity. The text then takes a look at a model of stochastic differential equation in Hubert spaces applicable to Navier Stokes equation in dimension 2; wavelets as attractors of random dynamical systems; and Markov properties for certain random fields. The publication examines the anatomy of a low-noise jump filter, nonlinear filtering with small observation noise, and closed form characteristic functions for certain random variables related to Brownian motion. Topics include derivation of characteristic functions for the examples, proof of the theorem, sequential quadratic variation test, asymptotic optimal filters, mean decision time, and asymptotic optimal filters. The selection is a valuable reference for researchers interested in stochastic analysis.

Handbook of Networking & Connectivity

1st Edition
May 10, 2014
Gary R. McClain
English
eBook
9 7 8 1 4 8 3 2 1 4 1 6 0

Handbook of Networking & Connectivity focuses on connectivity standards in use, including hardware and software options. The book serves as a guide for solving specific problems that arise in designing and maintaining organizational networks. The selection first tackles open systems interconnection, guide to digital communications, and implementing TCP/IP in an SNA environment. Discussions focus on elimination of the SNA backbone, routing SNA over internets, connectionless versus connection-oriented networks, internet concepts, application program interfaces, basic principles of layering, protocols and services, application layer, and conformance testing. The book then takes a look at integrated services digital network, an overview of the synchronous optical network, and X.25 and worldwide networking. The publication ponders on Metropolitan Area Networks (MAN), an overview of the switched multimegabit data service, and Ethernet/802.3 and Token Ring/802.5. Topics include Ethernet versus token ring, Ethernet/802.3, customer network management, MAN conception and technology, and SMDS specifications and sources and interface protocol. The selection is a vital source of data for systems professionals and researchers interested in networking and connectivity.

Programming for the Newton®

1st Edition
May 10, 2014
Julie McKeehan + 1 more
English
eBook
9 7 8 1 4 8 3 2 6 9 0 7 8

Programming for the Newton: Software Development with NewtonScript focuses on the processes, approaches, operations, and principles involved in software development with NewtonScript. The publication first elaborates on Newton application design, views on the Newton, and protos. Discussions focus on system protos, creating and using user protos, linking and naming templates, creating the views of WaiterHelper, Newton application designs, and life cycle of an application. The text then elaborates on the fundamentals of NewtonScript, inheritance in NewtonScript, and view system and messages. Topics include InstallScript and RemoveScript, adding code to WaiterHelper, proto and parent inheritance, combining proto and parent inheritance, frames, arrays, and symbols and path expressions. The book ponders on debugging and Newton data storage, including description of methods and functions, handling soups in application, printing, tracking, and debugging functions. The publication is a vital reference for computer programmers and researchers interested in NewtonScript.

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