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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.

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2401-2410 of 2429 results in All results

Sixth Form Pure Mathematics

  • 1st Edition
  • January 1, 1963
  • C. Plumpton + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 4 0 8 8 - 9
Sixth Form Pure Mathematics, Volume 2, provides an introduction to inverse trigonometric functions, hyperbolic and inverse hyperbolic functions, and a range of mathematical methods including the use of determinants, the manipulation of inequalities, the solution of easy differential equations, and the use of approximate numerical methods. Complex numbers are defined and the various ways of representing and manipulating them are considered. Polar coordinates, curvature, an elementary study of lengths of curves and areas of surfaces of revolution, a more mature discussion of two-dimensional coordinate geometry than was possible in Volume 1, and an elementary introduction to the methods of three dimensional coordinate geometry comprise the geometrical content of the book. Throughout, the authors have tried to preserve the concentric style which they used in Volume 1 and the many worked examples and exercises in each chapter are designed or chosen to provide a continuous reminder of the work of the preceding chapters. Except for Pure Geometry, the two volumes cover almost all of the syllabuses for Advanced Pure Mathematics of the nine Examining Boards. This book provides an adequate course for mathematical pupils at Grammar Schools and a useful introductory course for Science and Engineering students in their first year at University or Technical College or engaged in private study.

Concise Vector Analysis

  • 1st Edition
  • January 1, 1963
  • C. J. Eliezer
  • W. J. Langford + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 4 1 9 3 - 0
Concise Vector Analysis is a five-chapter introductory account of the methods and techniques of vector analysis. These methods are indispensable tools in mathematics, physics, and engineering. The book is based on lectures given by the author in the University of Ceylon. The first two chapters deal with vector algebra. These chapters particularly present the addition, representation, and resolution of vectors. The next two chapters examine the various aspects and specificities of vector calculus. The last chapter looks into some standard applications of vector algebra and calculus. This book will prove useful to applied mathematicians, students, and researchers.

Analytical Geometry

  • 1st Edition
  • January 1, 1963
  • Barry Spain
  • W. J. Langford + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 8 0 5 7 - 1
Analytical Geometry contains various topics in analytical geometry, which are required for the advanced and scholarship levels in mathematics of the various Examining Boards. This book is organized into nine chapters and begins with an examination of the coordinates, distance, ratio, area of a triangle, and the concept of a locus. These topics are followed by discussions of the straight line, straight lines, circle, systems of circles, ellipse, hyperbola, rectangular hyperbola and parabola. This work provides exercises for each section and each chapter ends with a miscellaneous set of examples. Answers are supplied at the end of the book. This book will prove useful to advanced analytical geometry students.

A Course of Mathematical Analysis

  • 1st Edition
  • January 1, 1963
  • A. F. Bermant
  • I. N. Sneddon + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 3 7 3 2 - 2
A Course of Mathematical Analysis, Part I is a textbook that shows the procedure for carrying out the various operations of mathematical analysis. Propositions are given with a precise statement of the conditions in which they hold, along with complete proofs. Topics covered include the concept of function and methods of specifying functions, as well as limits, derivatives, and differentials. Definite and indefinite integrals, curves, and numerical, functional, and power series are also discussed. This book is comprised of nine chapters and begins with an overview of mathematical analysis and its meaning, together with some historical notes and the geometrical interpretation of numbers. The reader is then introduced to functions and methods of specifying them; notation for and classification of functions; and elementary investigation of functions. Subsequent chapters focus on limits and rules for passage to the limit; the concepts of derivatives and differentials in differential calculus; definite and indefinite integrals and applications of integrals; and numerical, functional, and power series. This monograph will be a valuable resource for engineers, mathematicians, and students of engineering and mathematics.

An Introduction to Mathematical Analysis

  • 1st Edition
  • January 1, 1963
  • Robert A. Rankin
  • I. N. Sneddon + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 3 7 3 0 - 8
An Introduction to Mathematical Analysis is an introductory text to mathematical analysis, with emphasis on functions of a single real variable. Topics covered include limits and continuity, differentiability, integration, and convergence of infinite series, along with double series and infinite products. This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds of sets of real numbers. The following chapters deal with limits of real functions; differentiability and maxima, minima, and convexity; elementary properties of infinite series; and functions defined by power series. Integration is also considered, paying particular attention to the indefinite integral; interval functions and functions of bounded variation; the Riemann-Stieltjes integral; the Riemann integral; and area and curves. The final chapter is devoted to convergence and uniformity. This monograph is intended for mathematics students.

Mathematical Games and Pastimes

  • 1st Edition
  • January 1, 1963
  • A. P. Domoryad
  • I. N. Sneddon + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 3 7 8 2 - 7
Mathematical Games and Pastimes focuses on numerical solutions to mathematical games and pastimes. The book first discusses the binary system of notation and the system of notation with the base three. Congruences, Pythagorean and Heronic triples, and arithmetical pastimes are explained. The text takes a look at the nature of numerical tricks. Guessing the results of operations with unknown numbers; determination of numbers thought of using three tables; and extraction of roots of multidigit numbers are explained. The selection also touches on rapid calculations, games with piles of objects, Meleda, solitaire, and Lucas’ game. Problems on determining ways to reach goals are also presented. Games that show the numerous ways to reach goals are discussed. The text also examines Euler squares, dominoes, and problems related to the chess board. Pastimes related to objects changing places are also highlighted. Topics include Lucas’ problem, Ruma, and Monge’s shuffle. The book is highly recommended for readers wanting to find solutions to mathematical games and pastimes.

Differential Forms with Applications to the Physical Sciences by Harley Flanders

  • 1st Edition
  • Volume 11
  • January 1, 1963
  • Harley Flanders
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 5 1 8 - 6
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

Optimum Design of Digital Control Systemsby Julius T Tou

  • 1st Edition
  • Volume 10
  • January 1, 1963
  • Julius T. Tou
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 5 1 7 - 9
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

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