An Introduction to Analysis (Textbooks in Mathematics) - Image 1

£78.33

CRC Press An Introduction to Analysis (Textbooks in Mathematics)

Name: An Introduction to Analysis (Textbooks in Mathematics)
Brand: CRC Press
Price: 73.07 GBP
Availability: InStock

Mathematical Analysis

Price History & Forecast

Last 90 days • 90 data points

Historical

Generating forecast...

Price Distribution

Price distribution over 90 days • 10 price levels

Days at Price

Current Price

Price Analysis

Most common price: £78 (21 days, 23.3%)

Price range: £70 - £81

Price levels: 10 different prices over 90 days

Description

The third edition of this widely popular textbook is authored by a master teacher.This book provides a mathematically rigorous introduction to analysis of realvalued 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.

Product Specifications

Brand: CRC Press
Format: hardcover
ASIN: 0367702355
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 16 August 2021
Listed Since: 24 December 2020

Barcode

No barcode data available

CRC Press An Introduction to Analysis (Textbooks in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Elementary Real Analysis: A Practical Introduction

Comprehensive Mathematics for Computer Scientists 2: Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus (Universitext)

Exploring the Infinite: An Introduction to Proof and Analysis (Textbooks in Mathematics)

Calculus of a Single Variable: Early Transcendental Functions, International Metric Edition

Invitation to Real Analysis (Pure and Applied Undergraduate Texts)

Mathematisches Begriffsverständnis im Übergang Schule–Universität: Verständnisschwierigkeiten von Mathematik an der Hochschule am Beispiel des ... Forschung in der Mathematikdidaktik)

Real Analysis: A Constructive Approach Through Interval Arithmetic (Pure and Applied Undergraduate Texts)

Springer Real Numbers and Theories of Continua - Synthese 242

A Graphical Approach to Algebra and Trigonometry plus MyMathLab -- Access Card Package

Pure Mathematics for Beginners - Accelerated and Expanded Edition: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real ... Complex Analysis, and Linear Algebra

Teaching and Learning of Knot Theory in School Mathematics

Prokhorov and Contemporary Probability Theory: In Honor of Yuri V. Prokhorov: 33 (Springer Proceedings in Mathematics & Statistics, 33)

Finding your Math Power: Concepts in Mathematics for Elementary School Teachers

Birkhauser Analytic, Algebraic and Geometric Aspects of DE

Ordinary Differential Equations: A Structured Approach

Math Refresher for Scientists and Engineers, Third Edition (IEEE Press)

Functions and Change: A Modeling Approach to College Algebra

Primer of Modern Analysis: Directions for Knowing All Dark Things, Rhind Papyrus, 1800 B.C. (Undergraduate Texts in Mathematics)

College Algebra Essentials

Research in History and Philosophy of Mathematics: The CSHPM 2015 Annual Meeting in Washington, D. C. (Proceedings of the Canadian Society for History ... et de philosophie des mathématiques)

Contemporary Abstract Algebra (Textbooks in Mathematics)

Pearson College Mathematics for Business and Economics Textbook

Higher Algebra

Advanced Calculus: An Introduction to Modern Analysis: 63 (Chapman & Hall/CRC Pure and Applied Mathematics)