Browse / Mathematics
Complex Numbers in N Dimensions 9780444511232

Complex Numbers in N Dimensions

ISBN-10: 0444511237
ISBN-13: 9780444511232
AUTHOR:
PUBLISHER: Elsevier Science & Technology Books
Also available at Amazon.com
Note: Not guaranteed to come with supplemental materials (access codes, CDs, DVDs)
Product Description: Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined.



The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers.



The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbers. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and lead to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular, the exponential function of an n-complex number is expanded in terms of functions called in this book n-dimensional cosexponential functions
of the polar and respectively planar type, which are generalizations to n dimensions of the sine, cosine and exponential functions.



In the case of polar complex numbers, a polynomial can be written as a product of linear or quadratic factors, although it is interesting that several factorizations are in general possible. In the case of planar hypercomplex numbers, a polynomial can always be written as a product of linear factors, although, again, several factorizations are in general possible.



The book presents a detailed analysis of the hypercomplex numbers in 2, 3 and 4 dimensions, then presents the properties of hypercomplex numbers in 5 and 6 dimensions, and it continues with a detailed analysis of polar and planar hypercomplex numbers in n dimensions. The essence of this book is the interplay between the algebraic, the geometric and the analytic facets of the relations.

Additional Details


PUBLICATION DATE:
PAGES: 286
CATEGORY: Mathematics
Star

21 Day Unconditional Guarantee

any book, any reason

Rent This Book Now:

Price guaranteed for 45:00 longer
Due May 15 $1012.04
130 days (due Jul 30) $1165.05
85 days (due Jun 15) $1060.19
55 days (due May 16) $1013.59
Select Your Own Date
--

Buy this book used:

$1281.55

List Price: $112.00
Your Savings:
Total Price:
 

REVIEWS for Complex Numbers in N Dimensions


Select a star rating

FAQ'S

1. How do textbook rentals work?
It’s simple. Begin by searching for your textbook by ISBN (10 or 13-digit number that can be found on the back cover of each book), title, author or keyword. Next select how long you would like to rent the book then add it to your cart. Repeat for each book you’re looking for. After completing the order we’ll ship them to you and you’ll also receive a prepaid mailer. Return your books in the mailer by your rental due date.
2. Is renting a textbook better than purchasing it?
We offer both! You can buy or rent the book through Campus Book Rentals. It’s up to you to decide which option best meets your educational needs.
3. How do I track my order?
Login to your account here, you’ll see your current rentals listed textbook rentals listed with a yellow box that says “track”. Click the box to view the tracking number. *Not all books will have a tracking number since they may be sent from one of our partners. Tracking numbers will be updated as they become available.
4. How do I return my books?
When you rent textbooks from Campus Book Rentals you’ll receive a prepaid mailer. When it’s nearing your due date you’ll place your books inside the mailer and take it to the nearest USPS drop box or Post Office. If you don’t receive a mailer you can print a return label from your account. Return shipping is prepaid so please use either of the two methods to ensure they arrive at the correct facility.
5. Can I write or highlight in my book?
Of course! Just remember that future students will rent the same book after you, so please be respectful.
6. How much money can renting my books save?
It depends on the book. Generally renting textbooks can save you up to 80% compared to a new textbook.
7. Are Campus Book Rentals’ books the same as my bookstore’s?
Yes! We only ship US edition textbooks, which are the same as your campus bookstore.
8. Do access codes or other supplements come with a textbook rental?
One time use access codes and other supplemental materials are NOT included with rental books and must be purchased separately.
9. What if I don’t return my rental?
If your book rental is not returned by the due date, your credit card will be charged a non-return fee, equal to the replacement value for the book.
10. Can I purchase my book after I rent it?
Certainty! You’re only charged the difference between what you already paid and the value of the book at the time you initially rented. Login to your account and choose to purchase your book and it’ll walk you through the checkout process.

Textbook Rentals

We know that textbook rentals are the best way currently to distribute high quality textbooks, and we want to have you on board! Join over a million students that have saved money by renting! Not only is it better for you, but when you return it that book can go on to help even more students access affordable education. We're confident we offer the best value in rentals, but if you're not a believer you can always return your book for a no questions asked refund within 21 days.

Why Choose Us?

1. Campus Book Rentals pioneered the idea of textbook rentals, making prices significantly cheaper for every student while still maintaining the highest quality. We've been at it since 2007 and the entire industry has had to adapt to keep up.

2. Though keeping prices low has always been the goal, we can boast an excellent support team that has helped thousands of students get the best value for their education. Chat with them at 855-200-0021 or use our chat box.

3. We practice what we preach. We routinely read our own textbooks to further our own education while at work. We know that only with a well-educated team of individuals can we continue to change the industry for the better.

Make A Difference

At Campus Book Rentals our company is guided by a single question, "How are we making education more affordable?" We know that getting a college education is quickly becoming a rite of passage for students and is becoming more important every year. In order to make education more attainable for the 99%, we started renting textbooks so students could avoid high purchase prices and buyback programs. We know it's a better way, and we're going to show everyone how to make a college education affordable again.