Elements of the Theory of Functions

Overview

General background: complex numbers, linear functions, sets and sequences, conformal mapping. Detailed proofs.
Read More Show Less
... See more details below
Available through our Marketplace sellers.
Other sellers (Paperback)
  • All (13) from $1.99   
  • New (3) from $61.06   
  • Used (10) from $0.00   
Close
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any BN.com coupons and promotions
$61.06
Seller since 2008

Feedback rating:

(220)

Condition:

New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.

New

Ships from: Chicago, IL

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
$96.00
Seller since 2009

Feedback rating:

(66)

Condition: New
New New as pictured-clean, excellent condition-Ships from legendary independent online bookstore in Murrieta, California. Thousands of satisfied customers. We ship promptly and ... Worldwide. We work hard to earn your confidence. Orders are fully guaranteed and normally shipped the same business day. We use bubble wrap heavy Kraft envelopes. Reliable customer service and no-hassle return policy. Why pay more? Read more Show Less

Ships from: Diamond Bar, CA

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
$125.00
Seller since 2015

Feedback rating:

(241)

Condition: New
Brand new.

Ships from: acton, MA

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
Page 1 of 1
Showing All
Close
Sort by
Sending request ...

Overview

General background: complex numbers, linear functions, sets and sequences, conformal mapping. Detailed proofs.
Read More Show Less

Product Details

  • ISBN-13: 9780486601540
  • Publisher: Dover Publications
  • Publication date: 6/1/1952
  • Pages: 140
  • Product dimensions: 5.38 (w) x 7.99 (h) x 0.35 (d)

Table of Contents

Section I. Complex Numbers and their Geometric Representation
Chapter I. Foundations
  1. Introduction
  2. The system of real numbers
  3. Pointgs and vectors of the plane
Chapter II. The System of Complex Numbers and the Gaussian Plane of Numbers
  4. Historical remarks
  5. Introduction of complex numbers. Notation
  6. Equality and inequality
  7. Addition and subtraction
  8. Multiplication and division
  9. Derived rules. Powers
  10. The system of complex numbers as an extension of the system of real numbers
  11. Trigonometric representation of complex numbers
  12. Geometric representation of multiplication and division
  13. Inequalities and absolute values. Examples
Chapter III. The Riemann Sphere of Numbers
  14. The stereographic projection
  15. The Riemann sphere of numbers. The point infinity. Examples
Section II. Linear Functions and Circular Transformations
Chapter IV. Mapping by Means of Linear Functions
  16. Mapping by means of entire linear functions
  17. Mapping by means of the function w = 1/z
  18. Mapping by means of arbitrary linear functions
Chapter V. Normal Forms and Particular Linear Mappings
  19. The group-property of linear transformations
  20. Fixed points and normal forms
  21. Particular linear mappings. Cross ratios
  22. Further examples
Section III. Sets and Sequences. Power Series
Chapter VI. Point Sets and Sets of Numbers
  23. Point sets
  24. Sets of real numbers
  25. The Bolzano-Weierstrass theorem
Chapter VII. Sequences of Numbers. Infinite Series
  26. Sequences of complex numbers
  27. Sequences of real numbers
  28. Infinite series
Chapter VIII. Power Series
  29. The circle of convergence
  30. Operations on power series
Section IV. Analytic Functions and Conformal Mapping
Chapter IX. Functions of a Complex Variable
  31. The concept of a function of a complex variable
  32. Limits of functions
  33. Continuity
  34. Differentiability
  35. Properties of functions represented by power series
Chapter X. Analytic Functions and Conformal Mapping
  36. Analytic functions
  37. Conformal mapping
Section V. The Elementary Functions
Chapter XI. Power and Root. The Rational Functions
  38. Power and root
  39. The entire rational functions
  40. The fractional rational functions
Chapter XII. The Exponential, Trigonometric, and Hyperbolic Functions
  41. The exponential function
  42. The functions cos z and sin z
  43. The functions tan z and cot z
  44. The hyperbolic functions
Chapter XIII. The Logarithm, the Cyclometric Functions, and the Binomial Series
  45. The logarithm
  46. The cyclometric functions
  47. The binomial series and the general power
  Bibliography; Index
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)