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عنوان
Fundamentals of university mathematics /

پدید آورنده
Colin McGregor, Jonathan Nimmo and Wilson Stothers

موضوع
Advanced mathematics,Mathematics

رده
QA37
.
3
.
M3474
2010

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
0857092235
(Number (ISBN
0857092243
(Number (ISBN
9780857092236
(Number (ISBN
9780857092243

NATIONAL BIBLIOGRAPHY NUMBER

Number
b417122

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Fundamentals of university mathematics /
General Material Designation
[Book]
First Statement of Responsibility
Colin McGregor, Jonathan Nimmo and Wilson Stothers

EDITION STATEMENT

Edition Statement
3rd ed

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Oxford, Philadelphia, PA :
Name of Publisher, Distributor, etc.
Woodhead Pub.,
Date of Publication, Distribution, etc.
2010

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource (xii, 552 pages) :
Other Physical Details
illustrations

SERIES

Series Title
Woodhead Publishing in mathematics

CONTENTS NOTE

Text of Note
Cover; Fundamentals of University Mathematics; Copyright; Table of contents; Preface to the Third Edition; Notation; Chapter 1 Preliminaries; 1.1 Number Systems; 1 .2 Intervals; 1 .3 The Plane; 1.4 Modulus; 1 .5 Rational Powers; 1.6 Inequalities; 1.7 Divisibility and Primes; 1.8 Rationals and Irrationals; 1.X Exercises; Chapter 2 Functions and Inverse Functions; 2 .1 Functions and Composition; 2.2 Real Functions; 2.3 Standard Functions; 2.4 Boundedness; 2.5 Inverse Functions; 2.6 Monotonic Functions; 2.X Exercises; Chapter 3 Polynomials and Rational Functions; 3.1 Polynomials
Text of Note
10.1 Types of Curve10.2 Graphs; 10.3 Implicit Curves; 10.4 Parametric Curves; 10.5 Conic Sections; 10.6 Polar Curves; 10.X Exercises; Chapter 11 Matrices and Linear Equations; 11.1 Basic Definitions; 11.2 Operations on Matrices; 11.3 Matrix Multiplication; 11.4 Further Properties of Multiplication; 11.5 Linear Equations; 11.6 Matrix Inverses; 11.7 Finding Matrix Inverses; 11.X Exercises; Chapter 12 Vectors and Three Dimensional Geometry; 12.1 Basic Properties of Vectors; 12.2 Coordinates in Three Dimensions; 12.3 The Component Form of a Vector; 12.4 The Section Formula
Text of Note
12.5 Lines in Three Dimensional Space12.X Exercises; Chapter 13 Products of Vectors; 13.1 Angles and the Scalar Product; 13.2 Planes and the Vector Product; 13.3 Spheres; 13.4 The Scalar Triple Product; 13.6 Projections; 13.X Exercises; Chapter 14 Integration- Fundamentals; 14.1 Indefinite Integrals; 14.2 Definite Integrals; 14.3 The Fundamental Theorem of Calculus; 14.4 Improper Integrals; 14.X Exercises; Chapter 15 Logarithms and Exponentials; 15.1 The Logarithmic Function; 15.2 The Exponential Function; 15.3 Real Powers; 15.4 Hyperbolic Functions; 15.5 Inverse Hyperbolic Functions
Text of Note
3.2 Division and Factors3.3 Quadratics; 3.4 Rational Functions; 3.X Exercises; Chapter 4 Induction and the Binomial Theorem; 4.1 The Principle of Induction; 4.2 Picking and Choosing; 4.3 The Binomial Theorem; 4.X Exercises; Chapter 5 Trigonometry; 5.1 Trigonometric Functions; 5.2 Identities; 5.3 General Solutions of Equations; 5.4 The t-formulae; 5.5 Inverse Trigonometric Functions; 5.X Exercises; Chapter 6 Complex Numbers; 6.1 The Complex Plane; 6.2 Polar Form and Complex Exponentials; 6.3 De Moivre's Theorem and Trigonometry; 6.4 Complex Polynomials; 6.5 Roots of Unity
Text of Note
6.6 Rigid Transformations of the Plane6.X Exercises; Chapter 7 Limits and Continuity; 7.1 Function Limits; 7.2 Properties of Limits; 7.3 Continuity; 7.4 Approaching Infinity; 7.X Exercises; Chapter 8 Differentiation-Fundamentals; 8.1 First Principles; 8.2 Properties of Derivatives; 8.3 Some Standard Derivatives; 8.4 Higher Derivatives; 8.X Exercises; Chapter 9 Differentiation-Applications; 9.1 Critical Points; 9.2 Local and Global Extrema; 9.3 The Mean Value Theorem; 9.4 More on Monotonic Functions; 9.5 Rates of Change; 9.6 L'HÔpital's Rule; 9.X Exercises; Chapter 10 Curve Sketching
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8
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SUMMARY OR ABSTRACT

Text of Note
The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics. Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems. The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topicsClearly and comprehensively covers material beyond standard textbooksWorked examples, challenges and exercises throughout

ACQUISITION INFORMATION NOTE

Source for Acquisition/Subscription Address
Safari Books Online
Stock Number
CL0500000429

OTHER EDITION IN ANOTHER MEDIUM

Title
Fundamentals of university mathematics.
International Standard Book Number
1904275451

TITLE USED AS SUBJECT

Advanced mathematics

TOPICAL NAME USED AS SUBJECT

Mathematics

(SUBJECT CATEGORY (Provisional

MAT-- 023000
MAT-- 026000
MAT-- 039000

DEWEY DECIMAL CLASSIFICATION

Number
510
Edition
21

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA37
.
3
Book number
.
M3474
2010

PERSONAL NAME - PRIMARY RESPONSIBILITY

McGregor, C. M., (Colin M.)

PERSONAL NAME - ALTERNATIVE RESPONSIBILITY

Nimmo, John
Stothers, W. W., (Wilson W.)

ORIGINATING SOURCE

Date of Transaction
20170930022646.8
Cataloguing Rules (Descriptive Conventions))
pn

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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