Books in Theory and mathematics

Our portfolio includes foundational theories, algorithms, formal methods, and computational complexity. Featuring rigorous research, mathematical frameworks, and practical applications, these titles support theorists, mathematicians, and computer scientists in advancing the theoretical underpinnings of computing. Addressing emerging areas like quantum algorithms and formal verification, the collection fuels innovation and scientific discovery.

Realizability Theory for Continuous Linear Systems
1st Edition
Volume 97
Zemanian
English
Regression and the Moore-Penrose Pseudoinverse
1st Edition
Volume 94
Albert
English
Theory of Partial Differential Equations
1st Edition
Volume 93
Lieberstein
English
Nonserial Dynamic Programming
1st Edition
Volume 91
Bertele?
English
Flows in Transportation Networks
1st Edition
Volume 90
Oliver
English
The Method of Weighted Residuals and Variational Principles, with Application in Fluid Mechanics, Heat and Mass Transfer
1st Edition
Volume 87
Courtney Finlayson
English
Markov Processes and Learning Models
1st Edition
Volume 84
Norman
English
Computer-Oriented Approaches to Pattern Recognition
1st Edition
Volume 83
Meisel
English
Multiparameter eigenvalue problems
1st Edition
Volume 82
Atkinson
English
Differential Equations in Abstract Spaces
1st Edition
Volume 85
Lakshmikantham
English
Dynamic Programming and Partial Differential Equations
1st Edition
Volume 88
Angel
English
System Identification
1st Edition
Volume 80
James L Melsa
English
Principles of Combinatorics
1st Edition
Volume 72
Berge
English
Berge's Principles of Combinatorics is now an acknowledged classic work of the field. Complementary to his previous books, Berge's introduction deals largely with enumeration. The choice of topics is balanced, the presentation elegant, and the text can be followed by anyone with an interest in the subject with only a little algebra required as a background. Some topics were here described for the first time, including Robinston-Shensted theorum, the Eden-Schutzenberger theorum, and facts connecting Young diagrams, trees, and the symmetric group.
Introduction to the Mathematical Theory of Control Processes: Nonlinear Processes v. 2
1st Edition
Volume 40B
Bellman
English
Transversal Theory
An account of some aspects of combinatorial mathematics
1st Edition
Volume 75
L. Mirsky
English
Finite State Markovian Decision Processes
1st Edition
Volume 67
Derman
English
The Computation and Theory of Optimal Control
1st Edition
Volume 65
Dyer
English
Algorithms, Graphs, and Computers
1st Edition
Volume 62
Bellman
English
Adaptive, Learning, and Pattern Recognition Systems; theory and applications
1st Edition
Volume 66
Mendel
English
An Algorithmic Approach to Nonlinear Analysis and Optimization
1st Edition
Volume 63
Beltrami
English
Functional Analysis and Time Optimal Control
1st Edition
Volume 56
Hermes
English
Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations
1st Edition
Volume 55B
Lakshmikantham
English
Differential and Integral Inequalities: Theory and Applications
Volume I: Ordinary Differential Equations
1st Edition
Volume 55A
V. Lakshmikantham + 1 more
English
This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.
Special Functions and Their Approximations: v. 2
1st Edition
Volume 53B
Yudell L. Luke
English
Function Theoretic Methods in Partial Differential Equations
1st Edition
Volume 54
Gilbert
English
Nonlinear Ordinary Differential Equations in Transport Processes
1st Edition
Volume 42
W. F. Ames
English
Quasilinearization and invariant imbedding, with applications to chemical engineering and adaptive control
1st Edition
Volume 41
Lee
English
Introduction to Operations Research
1st Edition
Volume 47
Faure
English
Variational Methods in Optimum Control Theory
1st Edition
Volume 45
Petrov
English
Nonlinear Two Point Boundary Value Problems
1st Edition
Volume 44
Bailey
English
Sequential Methods in Pattern Recognition and Machine Learning
1st Edition
Volume 52
K.C. Fu
English
Lie Theory and Special Functions
1st Edition
Volume 43
Miller
English
Optimization of Stochastic Systems
Topics in Discrete-time Systems
1st Edition
Volume 32
Masanao Aoki
English
Optimization of Stochastic Systems is an outgrowth of class notes of a graduate level seminar on optimization of stochastic systems. Most of the material in the book was taught for the first time during the 1965 Spring Semester while the author was visiting the Department of Electrical Engineering, University of California, Berkeley. The revised and expanded material was presented at the Department of Engineering, University of California, Los Angeles during the 1965 Fall Semester. The systems discussed in the book are mostly assumed to be of discrete-time type with continuous state variables taking values in some subsets of Euclidean spaces. There is another class of systems in which state variables are assumed to take on at most a denumerable number of values, i.e., these systems are of discrete-time discrete-space type. Although the problems associated with the latter class of systems are many and interesting, andalthough they are amenable to deep analysis on such topics as the limiting behaviors of state variables as time indexes increase to infinity, this class of systems is not included here, partly because there are many excellent books on the subjects and partly because inclusion of these materials would easily double the size of the book.
Nonlinear Autonomous Oscillations: Analytical Theory
1st Edition
Volume 34
Urabe
English
Nonlinear Autonomous Oscillations presents a self-contained and readable account for mathematicians, physicists, and engineers. This monograph is mainly concerned with the analytical theory of nonlinear autonomous oscillations, with the approach based mostly on the author’s work. After some introductory material, in Chapter 5 a moving orthogonal coordinate system along a closed orbit is introduced. In the next four chapters, stability theory and perturbation theory are systematically discussed for general autonomous systems by means of a moving coordinate system. In Chapter 10, the two-dimensional autonomous system is discussed in detail on the basis of results obtained in the preceding chapters. In Chapter 11, a numerical method for determining a periodic solution of the general nonlinear autonomous system is described. To illustrate this, the periodic solutions of the autonomous van der Pol equation for various values of thedamping coefficient are computed. Chapter 12, which is based on the work of the author and Sibuya, discusses the center of higher dimension. Chapter 13 discusses a particular inverse problem connected with the period of periodicsolutions of one interesting equation. There are, of course, many other topics of importance in the theory of nonlinear autonomous oscillations. These are, however, omitted in the present monograph because they are mainly topological rather than analytical and in order to keep the book from growing inordinately long.
Introduction to the Mathematical Theory of Control Processes: Linear Equations and Quadratic Criteria v. 1
1st Edition
Volume 40A
Bellman
English
This work discusses the theory of control processes. The extremely rapid growth of the theory, associated intimately with the continuing trend toward automation, makes it imperative that the courses of this nature rest upon a broad basis. The work discusses the fundamentals of the calculus of variations, dynamic programming, discrete control processes, use of the digital computer, and functional analysis. Introductory courses in control theory are essential for training the modern graduate student in pure and applied mathematics, engineering, mathematical physics, economics, biology, operations research, and related fields. The work also describes the dual approaches of the calculus of variations and dynamic programming in the scalar case and illustrates ways to tackle the multidimensional optimization problems.
The Theory of Splines and Their Applications
1st Edition
Volume 38
Ahlberg
English
Graphs, Dynamic Programming and Finite Games
1st Edition
Volume 36
Kaufmann
English
Time-Lag Control Systems
1st Edition
Volume 24
Og?uzto?reli
English
Lectures on Functional Equations and Their Applications
1st Edition
Volume 19
J. Aczél
English
Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.
Differential Equations
Stability, Oscillations, Time Lags
1st Edition
Volume 23
Halanay
English
Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients
1st Edition
Volume 28
Erugin
English
Mathematical Theory of Connecting Networks and Telephone Traffic
1st Edition
Volume 17
V.E. Bene&scaron;
English
Dynamic Programming and the Calculus of Variations
1st Edition
Volume 21
Dreyfus
English
Stability of Nonlinear Control Systems
1st Edition
Volume 13
Lefschetz
English
Discrete and Continuous Boundary Problems
1st Edition
Volume 8
Atkinson
English
Methods of Matrix Algebra
1st Edition
Volume 16
Pease
English
Mathematical Theories of Traffic Flow
1st Edition
Volume 7
Haight
English
Optimization Techniques
With Applications to Aerospace Systems
1st Edition
Volume 5
George Leitmann
English
During the past decade there has been a remarkable growth of interest in problems of systems optimization and of optimal control. And with this interest has come an increasing need for methods useful for rendering systems optimum. Rising to meet this challengc there have sprung up various “schools,” often championing onc method and regarding it superior to all others. Long experience has shown that life is not so simple, that the picture is not all white and black. In short, one may expect that a particular method is superior to others for the solution of some problems-rarely for all problems. Furthermore, since the basic mathematical formulation of optimization problems is often essentially the same in many approaches, it is not unreasonable to expect that there may be a great deal of similarity among various methods, a similarity - often, indeed, an identity-which is obscured by dissimilarities in language and notation. To help the uncommitted in his search for and rhoice of the optimum optimization technique is the fundamental aim of this volume. To accomplish this aim there are assembled in one book ten chapters dealing &h the various methods currently espoused for the solution of problems in systems optimization and optimal control. The choice of authors has been dictated solely by a consideration of an author’s interest and expertiless in a particular method. With the advantages of such an eclectic approach and the ensuing multiple authorship there comes some loss of smoothness of over - all presentation, for which the Editor must take the sole blame. On the one hand, correlation between the various chapters has been achieved by cross-referencing; on the other hand, each chapter can be read as a separate entity setting forth the technique championed by a particular “School.” While each of the ten chapters dealing with methods includes simple examples, primarily for didactic purposes, it has been thought useful to present four additional chapters dealing with applications alone. Of these, the first three, Chapters 11-13, cover specific optimization problems, and the final chapter contains a discussion of problems in the optimization of a complete system, in this case a nuclear propulsion system.

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health

Books in Theory and mathematics

Realizability Theory for Continuous Linear Systems

Regression and the Moore-Penrose Pseudoinverse

Theory of Partial Differential Equations

Nonserial Dynamic Programming

Flows in Transportation Networks

The Method of Weighted Residuals and Variational Principles, with Application in Fluid Mechanics, Heat and Mass Transfer

Markov Processes and Learning Models

Computer-Oriented Approaches to Pattern Recognition

Multiparameter eigenvalue problems

Differential Equations in Abstract Spaces

Dynamic Programming and Partial Differential Equations

System Identification

Principles of Combinatorics

Introduction to the Mathematical Theory of Control Processes: Nonlinear Processes v. 2

Transversal Theory

Finite State Markovian Decision Processes

The Computation and Theory of Optimal Control

Algorithms, Graphs, and Computers

Adaptive, Learning, and Pattern Recognition Systems; theory and applications

An Algorithmic Approach to Nonlinear Analysis and Optimization

Functional Analysis and Time Optimal Control

Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations

Differential and Integral Inequalities: Theory and Applications

Special Functions and Their Approximations: v. 2

Function Theoretic Methods in Partial Differential Equations

Nonlinear Ordinary Differential Equations in Transport Processes

Quasilinearization and invariant imbedding, with applications to chemical engineering and adaptive control

Introduction to Operations Research

Variational Methods in Optimum Control Theory

Nonlinear Two Point Boundary Value Problems

Sequential Methods in Pattern Recognition and Machine Learning

Lie Theory and Special Functions

Optimization of Stochastic Systems

Nonlinear Autonomous Oscillations: Analytical Theory

Introduction to the Mathematical Theory of Control Processes: Linear Equations and Quadratic Criteria v. 1

The Theory of Splines and Their Applications

Graphs, Dynamic Programming and Finite Games

Time-Lag Control Systems

Lectures on Functional Equations and Their Applications

Differential Equations

Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients

Mathematical Theory of Connecting Networks and Telephone Traffic

Dynamic Programming and the Calculus of Variations

Stability of Nonlinear Control Systems

Discrete and Continuous Boundary Problems

Methods of Matrix Algebra

Mathematical Theories of Traffic Flow

Optimization Techniques

Related subjects