ANALYSIS

A GATEWAY TO UNDERSTANDING MATHEMATICS

By: Seán Dineen

Write A Review

Hardcover | 4 May 2012

At a Glance

Hardcover
320 Pages

Dimensions(cm)
22.86 x 15.24 x 1.91

Hardcover

RRP $176.99

$123.99

30%OFF

or 4 interest-free payments of $31.00 with

Ships in 15 to 25 business days

This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Calculus Booktopia Publisher Services World Scientific Publishing

Other Editions and Formats

Paperback

Published: 14th May 2012

View Product

Preface	p. xi
Quadratic Equations	p. 1
Quadratic Equations	p. 1
Further Consequences	p. 14
Exercises	p. 19
Diagrams	p. 21
Graphs	p. 21
Exercises	p. 37
Functions	p. 39
Functions	p. 39
Generating New Functions	p. 53
Exercises	p. 57
Inverse Functions	p. 59
Injective and Surjective Functions	p. 60
Bijective Functions and Inverses	p. 63
Increasing, Decreasing, Convex and Indicator Functions	p. 69
Exercises	p. 72
Numbers	p. 77
The Positive Integers	p. 77
The Integers and Rational Numbers	p. 85
Arithmetic and Geometry	p. 93
Exercises	p. 101
Sets of Real Numbers	p. 103
Countable Sets	p. 103
Uncountable Sets	p. 108
Sets Which Are Bounded Above	p. 110
Intervals	p. 114
Exercises	p. 115
Series with Positive Entries	p. 117
Increasing and Decreasing Sequences	p. 117
Series with Positive Entries	p. 124
The Exponential Function	p. 128
Multiplication of Series	p. 130
The Log Function	p. 131
Exercises	p. 135
Review and Transition	p. 137
Review and Preview	p. 137
Convergent Sequences	p. 139
Convergent Series	p. 142
Power Series	p. 148
Exercises	p. 151
Continuous Functions	p. 155
Continuous Functions	p. 155
Intermediate Value Theorem	p. 159
Fundamental Existence Theorem for Maxima and Minima	p. 162
Exercises	p. 166
Differentiable Functions	p. 169
Differentiable Functions	p. 169
Basic Functions and Rules for Differentiation	p. 174
Mean Value Theorem	p. 177
Exercises	p. 185
Applications of Differentiation	p. 189
Sequences	p. 189
Limits	p. 192
Curve Sketching	p. 195
Applications of the Mean Value Theorem	p. 201
In Retrospect	p. 211
Exercises	p. 213
The Real Numbers	p. 219
Upper Bounds	p. 219
Dyadic Sections and the Bisection Principle	p. 222
Foundational Developments	p. 229
Infinitesimals	p. 234
Exercises	p. 235
Integration Theory	p. 237
The Riemann Integral	p. 237
Fundamental Theorem of Calculus	p. 245
Methods of Integration	p. 247
Exercises	p. 251
Applications of Integration Theory	p. 253
Integral Inequalities	p. 254
Integrals over Infinite Intervals	p. 255
Taylor's Theorem	p. 262
Exercises	p. 265
Solutions	p. 269
Bibliography	p. 291
Index	p. 295
Table of Contents provided by Ingram. All Rights Reserved.

ANALYSIS

A GATEWAY TO UNDERSTANDING MATHEMATICS

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Mathematics

In the Realm of the Last Man

FROM THE GLOBALLY BESTSELLING AUTHOR OF THE END OF HISTORY AND THE LAST MAN

Numeracy In Early Childhood Education

Shared Contexts For Teaching And Learning

The Art of Uncertainty

How to Navigate Chance, Ignorance, Risk and Luck

The Art of Gathering

How We Meet and Why It Matters

How to Win At Chess

The Ultimate Guide for Beginners and Beyond

Maths in Focus 12 Mathematics Advanced Student Book with Nelson MindTap

Collins Classics - The Republic

Collins Classics

Antifragile

Things That Gain from Disorder

The Infinite Game

From the bestselling author of Start With Why

Everyday Ecotherapy

Nature Connection Practices for Where We Live, Learn, Work, and Play

Statistics and Data Handling for Biologists

A Student's Guide

Statistics and Data Handling for Biologists

A Student's Guide

Reading Randomness I

New Horizons for Understanding Fractal and Fractional Calculus

Maths Sequences for the Early Years

Challenging Children to Reason Mathematically

Statistics in Clinical Development of Cancer Drugs

Recent Trends & Advances

Artificial Intelligence in Modeling and Simulation

Simulation Foundations, Methods and Applications

Dynamics of Marine Structures

Stochastic Control in Energy, Environmental and Resource Management Applications

Emerging Methodologies and Applications in Modelling, Identification and Control

Recent Advances in Information Systems

Proceedings of the ICRAIS, Pointe aux Piments, Mauritius, 10-12 September 2025

Successful Problem Solving in Classical Mechanics

Successful Problem Solving in Classical Mechanics

Data Science and Social Research III

Epistemology, Methods, Technology, Applications, and Relation to Artificial Intelligence

The Golden Ratio

Divine Beauty of Mathematics

Intro to Geometry

Grades 6 - 8

This product is categorised by