|
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
|
Buy Now
An Introduction to Analysis (Hardcover, 3rd edition)
Loot Price: R2,497
Discovery Miles 24 970
|
|
|
An Introduction to Analysis (Hardcover, 3rd edition)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
|
The third edition of this widely popular textbook is authored by a
master teacher. This book provides a mathematically rigorous
introduction to analysis of real valued functions of one variable.
This intuitive, student-friendly text is written in a manner that
will help to ease the transition from primarily computational to
primarily theoretical mathematics. The material is presented
clearly and as intuitive as possible while maintaining mathematical
integrity. The author supplies the ideas of the proof and leaves
the write-up as an exercise. The text also states why a step in a
proof is the reasonable thing to do and which techniques are
recurrent. Examples, while no substitute for a proof, are a
valuable tool in helping to develop intuition and are an important
feature of this text. Examples can also provide a vivid reminder
that what one hopes might be true is not always true. Features of
the Third Edition: Begins with a discussion of the axioms of the
real number system. The limit is introduced via sequences. Examples
motivate what is to come, highlight the need for hypothesis in a
theorem, and make abstract ideas more concrete. A new section on
the Cantor set and the Cantor function. Additional material on
connectedness. Exercises range in difficulty from the routine
"getting your feet wet" types of problems to the moderately
challenging problems. Topology of the real number system is
developed to obtain the familiar properties of continuous
functions. Some exercises are devoted to the construction of
counterexamples. The author presents the material to make the
subject understandable and perhaps exciting to those who are
beginning their study of abstract mathematics. Table of Contents
Preface Introduction The Real Number System Sequences of Real
Numbers Topology of the Real Numbers Continuous Functions
Differentiation Integration Series of Real Numbers Sequences and
Series of Functions Fourier Series Bibliography Hints and Answers
to Selected Exercises Index Biography James R. Kirkwood holds a
Ph.D. from University of Virginia. He has authored fifteen,
published mathematics textbooks on various topics including
calculus, real analysis, mathematical biology and mathematical
physics. His original research was in mathematical physics, and he
co-authored the seminal paper in a topic now called Kirkwood-Thomas
Theory in mathematical physics. During the summer, he teaches real
analysis to entering graduate students at the University of
Virginia. He has been awarded several National Science Foundation
grants. His texts, Elementary Linear Algebra, Linear Algebra, and
Markov Processes, are also published by CRC Press.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(2)
