A Course of Modern Analysis,9780521588072

A Course of Modern Analysis

by
Edition: 4th
ISBN13: 9780521588072
ISBN10: 0521588073
Format: Paperback
Pub. Date: 1996-09-13
Publisher(s): Cambridge University Press
  • Free Shipping Icon

    This Item Qualifies for Free Shipping!*

    *Excludes marketplace orders.

List Price: $120.75

Buy New

Arriving Soon. Will ship when available.
$115.00
Add to Cart

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

Rent Digital

Rent Digital Options
Online:180 Days access
Downloadable:180 Days
$102.72
Online:1825 Days access
Downloadable:Lifetime Access
$128.39
$102.72
Add to Cart

Used Textbook

We're Sorry
Sold Out

Buy from our Marketplace starting at $15.85

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.

Table of Contents

PART I. THE PROCESSES OF ANALYSIS 3(232)
I Complex Numbers
3(8)
II The Theory of Convergence
11(30)
III Continuous Functions and Uniform Convergence
41(20)
IV The Theory of Riemann Integration
61(21>)
V The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorems
82(29)
VI The Theory of Residues; application to the evaluation of Definite Integrals
111(14)
VII The expansion of functions in Infinite Series
125(25)
VIII Asymptotic Expansions and Summable Series
150(10)
IX Fourier Series and Trigonometrical Series
160(34)
X Linear Differential Equations
194(17)
XI Integral Equations
211(24)
PART II. THE TRANSCENDENTAL FUNCTIONS 235(344)
XII The Gamma Function
235(30)
XIII The Zeta Function of Riemann
265(16)
XIV The Hypergeometric Function
281(21)
XV Legendre Functions
302(35)
XVI The Confluent Hypergeometric Function
337(18)
XVII Bessel Functions
355(31)
XVIII The Equations of Mathematical Physics
386(18)
XIX Mathieu Functions
404(25)
XX Elliptic Functions. General theorems and the Weierstrassian Functions
429(33)
XXI The Theta Functions
462(29)
XXII The Jacobian Elliptic Functions
491(45)
XXIII Ellipsoidal Harmonics and Lame's Equation
536(43)
APPENDIX 579(12)
LIST OF AUTHORS QUOTED 591(4)
GENERAL INDEX 595

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.