E. A. Maxwell – författare

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Fallacies in Mathematics
AvE. A. Maxwell
Häftad, Engelska, 2006
435 kr
Skickas inom 5-8 vardagar
As Dr Maxwell writes in his preface to this book, his aim has been to instruct through entertainment. 'The general theory is that a wrong idea may often be exposed more convincingly by following it to its absurd conclusion than by merely announcing the error and starting again. Thus a number of by-ways appear which, it is hoped, may amuse the professional, and help to tempt back to the subject those who thought they were losing interest.' The standard of knowledge expected is fairly elementary. In most cases a straightforward statement of the fallacious argument is followed by an exposure in which the error is traced to the most elementary source, and this process often leads to an analysis which is often of unexpected depth. Many students will discover just how mathematically minded they are when they read this book; nor is that the only discovery they will make. Teachers of mathematics in schools and technical schools, colleges and universities will also be sure to find something here to please them.
A Gateway to Abstract Mathematics
AvE. A. Maxwell
Häftad, Engelska, 2008
631 kr
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Dr Maxwell has written this short book to introduce students (and teachers) to the ideas involved in abstract mathematics. In his preface he states, 'I have often felt that the present plunge into abstraction is too sudden and that there is a need for more elementary work to make the immersion less exhausting.' Dr Maxwell does this by taking various topics from elementary mathematics, and showing what happens when the rules are altered in quite simple ways. He first discusses digital arithmetic, then introduces the idea of a group and illustrates some properties of groups by examples from algebra and geometry.
An Analytical Calculus: Volume 1
For School and University
AvE. A. Maxwell
Häftad, Engelska, 2008
658 kr
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This is the first volume of a series of four volumes covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. This volume is concerned with the basic ideas and applications of differentiation and integration in relation to algebraic and trigonometric functions, but excluding logarithmic and exponential functions. Integration begins on the 'Riemann integral' basis, and the treatment of curves combines accuracy with simplicity, without shirking the awkward problems of sign. Each section has examples; at the end of each chapter there are problems from school-leaving and open scholarship examinations.
An Analytical Calculus: Volume 2
For School and University
AvE. A. Maxwell
Häftad, Engelska, 2008
644 kr
Skickas inom 5-8 vardagar
This is the second of a series of four volumes covering all stages of development of the Calculus, from the last years at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies. with their emphasis on rigour. This treatment of algebraic and trigonometric functions is here developed to cover logarithmic, exponential and hyperbolic functions and the expansion of all these functions as power series. There is a chapter on curves and the idea of complex numbers is introduced for the first time. In the two final chapters, the author begins a systematic treatment of methods of integrating functions, introducing principles into what often seems rather a haphazard process. This volume, like the others, is well endowed with examples.
An Analytical Calculus: Volume 3
For School and University
AvE. A. Maxwell
Häftad, Engelska, 2008
644 kr
Skickas inom 5-8 vardagar
This is the third volume of a series of four volumes covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. The volume treats of the theory of functions of more than one variable. Partial differentiation and multiple integrals are explained in detail. Each section has examples; at the end of each chapter there are problems from school-leaving and open scholarship examinations. This volume is most suitable for the first or second year at British universities.
An Analytical Calculus: Volume 4
For School and University
AvE. A. Maxwell
Häftad, Engelska, 2008
549 kr
Skickas inom 5-8 vardagar
This is the final volume of a series covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. Dr Maxwell guides the student through the early stages of analysis, while keeping the exposition as clear and uncomplicated as possible. The aim is to instil a knowledge of general method rather than to study the particular functions in detail; in this way the student is led on naturally to apply what they have learnt to move advanced mathematical contexts. Dr Maxwell is, as usual, lucid in his presentation, explaining difficulties in greater detail than is customary in an advanced textbook, and guarding against the pitfalls that await the beginner.
The Methods of Plane Projective Geometry Based on the Use of General Homogenous Coordinates
AvE. A. Maxwell
Häftad, Engelska, 1946
549 kr
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This is a book about powerful mathematical methods rather than a mere catalogue of the properties of conics. The treatment is elegant and refreshing as well as systematic, and throughout the book the author is concerned to lay the foundations of future work. Consequently (unlike too many textbooks) there is little for the student to unlearn when he goes on to more advanced courses. A valuable feature is the large number of carefully selected and graded problems for solution (about 400 in all). When this book was first published, the reviewer in Science suggested that 'this scholarly work should be supplemented by a similar book on the analytic projective geometry of ordinary space'. His suggestion has since been adopted: and the companion volume, E.A. Maxwell's General Homogenous Coordinates in Space of Three Dimensions is now also available.
General Homogeneous Coordinates in Space of Three Dimensions
AvE. A. Maxwell
Häftad, Engelska, 1951
631 kr
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The purpose of this book is at once modest and ambitious, namely, to provide a short introduction to algebraic geometry in space of three dimensions, to make clear its spirit, and to prepare the way for deeper study. This book will appeal to a reader who has read Maxwell's book on homogenous coordinates in a plane (to which this stands as a second volume) and is in the early stages of second year work at University, It will also be suitable for a class reader who has read further in mathematics generally, but has found the existing detailed accounts of this work too full or too specialised for their own needs, and is in need of an accessible introduction.
Advanced Algebra, Part 1
AvE. A. Maxwell
Häftad, Engelska, 2009
631 kr
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The scope and treatment of Dr Maxwell's two-volume course covering the transition from school to university is directed towards training students in algebraic thinking, so that processes do not become too mechanical. The explanations are full, the difficulties of the beginner are foreseen and overcome. Indeed, the course should prove excellent for the lone student as well as for the supervised class. Topics in part one include polynomial theory, equations, inequalities, partial fractions, permutations and combinations, the binomial theorem and series and determinants. The 'feel' of the book may be illustrated by reference to the treatment of partial fractions, which is novel in several ways. A theoretical exposition is given in some detail and varies from standard treatments in leading to a method of calculation that arises directly from it. The book contains many 'drill' examples, which the author considers essential.
Algebraic Structure and Matrices Book 2
AvE. A. Maxwell
Häftad, Engelska, 2009
549 kr
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This book was originally published in 1965. Dr Maxwell relates the ideas being introduced into the teaching of elementary university and advanced school algebra to the topics and methods with which teachers and students are already familiar and which are treated in the author's Advanced Algebra, Part I. Dr Maxwell shows the student meeting modern algebra for the first time what it is all about and leads those who will be taking the subject further to a firm grasp of the details that will come later in their course. From a discussion of algebraic systems with a single operation, he introduces the idea of a group and goes on to survey other algebraic structures: vector spaces, fields and rings. The second section is on linear algebra, mainly in terms of matrices and the solution of linear equations. A final section introduces the reader to more advanced concepts, including eigenvectors and eigenvalues and their use for quadratic forms. There is a large number of examples, with answers.
Elementary Analysis
The Commonwealth and International Library: Mathematics Division, Volume 1
AvJ. B. Morgan,K. S. Snellm. fl.
E-bok
PDF, Engelska, 2014
789 kr
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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.
Number Systems and Operations of Arithmetic
An Explanation of the Fundamental Principles of Mathematics Which Underlie the Understanding and Use of Arithmetic, Designed for In-Service Training of Elementary School Teachers Candidates Service Training of Elementary School Teacher Candidates
AvOrval M. Klose,E. A. Maxwellm. fl.
E-bok
PDF, Engelska, 2014
789 kr
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The Number Systems and Operations of Arithmetic was written for the single purpose of explaining to elementary school teachers (both in-service and in-training) the nature of those basic principles of mathematics which form the foundations and structural framework of arithmetic, and how the familiar formal algorithms of arithmetic stem from these structural principles. The book is organized into two parts. Part I on number systems covers the origin of numerical thinking; natural operations with the natural numbers; natural laws for the natural operations; the inverse operations and convergence and the number systems generated by these operations; and classification of the number systems as abstract systems. Part II on computational algorithms discusses computations with natural numbers, rational numbers, real numbers, and complex numbers. The ""answers"" to all the exercises are also provided in the main body of the text and it is hoped that the student will form the habit of looking there for them.
Concise Vector Analysis
The Commonwealth and International Library of Science, Technology, Engineering and Liberal Studies: Mathematics Division
AvC. J. Eliezer,I. N. Sneddonm. fl.
E-bok
PDF, Engelska, 2014
359 kr
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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.
Lattice Theory
The Common Wealth and International Library: Mathematics Division
AvThomas Donnellan,C. Plumptonm. fl.
E-bok
PDF, Engelska, 2014
781 kr
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Lattice Theory presents an elementary account of a significant branch of contemporary mathematics concerning lattice theory. This book discusses the unusual features, which include the presentation and exploitation of partitions of a finite set. Organized into six chapters, this book begins with an overview of the concept of several topics, including sets in general, the relations and operations, the relation of equivalence, and the relation of congruence. This text then defines the relation of partial order and then partially ordered sets, including chains. Other chapters examine the properties of meet and join and explain dimensional considerations. This book discusses as well certain relations between individual elements of a lattice, between subsets of a lattice, and between lattices themselves. The final chapter deals with distributive lattices and explores the complements in distributive lattices. This book is a valuable resource for college and university students of mathematics, logic, and such technologies as communications engineering.
Collection of Problems in Analytical Geometry
Analytical Geometry in the Plane
AvD. V. Kletenik,E. A. Maxwellm. fl.
E-bok
PDF, Engelska, 2016
359 kr
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A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry. The book discusses elementary problems dealing with plane analytical geometry. The text presents topics on the axis and intervals on an axis and coordinates on a straight line. The book also defines what a rectangular Cartesian coordinates in a plane is, the division of an interval in a given ratio, and shows how to calculate the area of a triangle. The equation of a curve, the functions of two variables, and the concept of an equation of a curve are explained by the use of examples and problems.The author also addresses the geometrical properties of curves of the second order, the equations of a straight line, a circle, an ellipse, a hyperbola, and a parabola. The text then discusses the general theory of second-order curves and emphasizes the equations of the central curves of the second order. The author cites the simplification of these equations as being applicable to theoretical mechanics.This collection of problems can be used by teachers of analytical geometry and their students.
Collection of Problems in Analytical Geometry
Three-Dimensional Analytical Geometry
AvD. V. Kletenik,E. A. Maxwellm. fl.
E-bok
PDF, Engelska, 2016
359 kr
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A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.
Elementary Analysis
The Commonwealth and International Library: Mathematics Division, Volume 2
AvJ. B. Morgan,K. S. Snellm. fl.
E-bok
PDF, Engelska, 2014
789 kr
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Elementary Analysis, Volume 2 introduces several of the ideas of modern mathematics in a casual manner and provides the practical experience in algebraic and analytic operations that lays a sound foundation of basic skills. This book focuses on the nature of number, algebraic and logical structure, groups, rings, fields, vector spaces, matrices, sequences, limits, functions and inverse functions, complex numbers, and probability. The logical structure of analysis given through the treatment of differentiation and integration, with applications to the trigonometric and logarithmic functions, is also briefly discussed. This volume begins with a description of the trigonometric functions of the general angle and an introduction to the binomial theorem and series. The rest of the chapters cover the numerical solution of equations, analytical geometry, Argand Diagram, numerical methods, and methods of approximation that form an important section of modern applied mathematics. This publication is valuable to teachers and students in training colleges.
Elementary Classical Hydrodynamics
The Commonwealth and International Library: Mathematics Division
AvC. Plumpton,B. H. Chirgwinm. fl.
E-bok
PDF, Engelska, 2013
781 kr
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Elementary Classical Hydrodynamics deals with the fundamental principles of elementary classical hydrodynamics, with emphasis on the mechanics of inviscid fluids. Topics covered by this book include direct use of the equations of hydrodynamics, potential flows, two-dimensional fluid motion, waves in liquids, and compressible flows. Some general theorems such as Bernoulli''s equation are also considered. This book is comprised of six chapters and begins by introducing the reader to the fundamental principles of fluid hydrodynamics, with emphasis on ways of studying the motion of a fluid. Basic concepts and quantities such as viscosity, density, and pressure, are considered, along with hydrostatics and the equation of motion. The discussion then turns to Bernoulli''s equation, the motion of a small element of fluid, velocity potential, and the kinetic energy of a uniform incompressible fluid. The chapters that follow explore two-dimensional fluid motion; a uniform inviscid, incompressible liquid having a free surface and upon which the only body force acting is uniform gravity; and a compressible gas with undisturbed uniform pressure and density, paying particular attention to the propagation and reflection of sound waves. This book is intended as an elementary introduction to the mechanics of inviscid fluids for first and second year undergraduates.
Analytical Geometry
The Commonwealth and International Library of Science, Technology, Engineering and Liberal Studies: Mathematics Division
AvBarry Spain,I. N. Sneddonm. fl.
E-bok
PDF, Engelska, 2014
356 kr
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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.
Analytic Trigonometry
The Commonwealth and International Library of Science, Technology, Engineering and Liberal Studies: Mathematics Division
AvWilliam J. Bruce,I. N. Sneddonm. fl.
E-bok
PDF, Engelska, 2014
781 kr
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Analytic Trigonometry details the fundamental concepts and underlying principle of analytic geometry. The title aims to address the shortcomings in the instruction of trigonometry by considering basic theories of learning and pedagogy. The text first covers the essential elements from elementary algebra, plane geometry, and analytic geometry. Next, the selection tackles the trigonometric functions of angles in general, basic identities, and solutions of equations. The text also deals with the trigonometric functions of real numbers. The fifth chapter details the inverse trigonometric functions, while the sixth chapter covers the procedures for sketching graphs of trigonometric functions. The coverage of the selection also includes logarithm, solutions of triangles, polar coordinates, and complex numbers. The book will be of great use to both instructors and students of trigonometry.
Elementary Vectors
The Commonwealth and International Library: Mathematics Division
AvE. Œ. Wolstenholme,E. A. Maxwellm. fl.
E-bok
PDF, Engelska, 2014
355 kr
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Elementary Vectors is an introductory course in vector analysis which is both rigorous and elementary, and demonstrates the elegance of vector methods in geometry and mechanics. Topics covered range from scalar and vector products of two vectors to differentiation and integration of vectors, as well as central forces and orbits. Comprised of seven chapters, this book begins with an introduction to relevant definitions; addition and subtraction of vectors; multiplication of a vector by a real number; position vectors and distance between two points; and direction cosines and direction ratios. The discussion then turns to scalar and vector products of two vectors; application of vector methods to simple kinematical and dynamical problems concerning the motion of a particle; and differentiation and integration of vectors. Central forces and orbits are also considered, along with the equation of a straight line and that of a plane. A parametric treatment of certain three-dimensional curves and curved surfaces, including the helix, is presented. This monograph will be of value to students, teachers, and practitioners of mathematics.
Problems and Methods in Analysis
AvA. J. Zielicki,L. Wlordarskim. fl.
E-bok
PDF, Engelska, 2014
781 kr
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Problems and Methods in Analysis, Volume 2 provides information pertinent to the methods of calculus. This book provides solutions to problems in analytical calculus. Organized into five chapters, this volume begins with an overview of the integration of functions that are not defined or are not bounded at a finite number of points, and with integrals in which the interval of integration is infinitely large. This text then defines the radius of curvature and provides the formula for curvature and radius of curvature. Other chapters consider the equation of tangent and normal. This book discusses as well the amplitudes of the harmonic components of a set of oscilloscope time base potentials. The final chapter deals with the Euler–Fourier formula, the Fourier series, and Dirichlet''s conditions. This book is intended to be suitable for sixth form students, particularly scholarship students. First year university students who need a systematic course in calculus will also find this book useful.

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E. A. Maxwell – författare

Fallacies in Mathematics

A Gateway to Abstract Mathematics

An Analytical Calculus: Volume 1

An Analytical Calculus: Volume 2

An Analytical Calculus: Volume 3

An Analytical Calculus: Volume 4

The Methods of Plane Projective Geometry Based on the Use of General Homogenous Coordinates

General Homogeneous Coordinates in Space of Three Dimensions

Advanced Algebra, Part 1

Algebraic Structure and Matrices Book 2

Elementary Analysis

Number Systems and Operations of Arithmetic

Concise Vector Analysis

Lattice Theory

Collection of Problems in Analytical Geometry

Collection of Problems in Analytical Geometry

Elementary Analysis

Elementary Classical Hydrodynamics

Analytical Geometry

Analytic Trigonometry

Elementary Vectors

Problems and Methods in Analysis

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