Quantum Calculus

ISBN-10: 0387953418
ISBN-13: 9780387953410
Edition: 2002
Buy it from $53.11
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional  More...

New Starting from $53.11
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Italian Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Portuguese Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Spanish Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
German Grammar Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

Copyright year: 2002
Publisher: Springer
Publication date: 11/16/2001
Binding: Paperback
Pages: 112
Size: 6.00" wide x 9.00" long x 0.25" tall
Weight: 0.484
Language: English

Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by Professor Kac over the last few years at MIT.

Introduction
q-Derivative and h-Derivative
Generalized Taylor's Formula for Polynomials
q-Analogue of (x - a)[superscript n], n an Integer, and q-Derivatives of Binomials
q-Taylor's Formula for Polynomials
Gauss's Binomial Formula and a Noncommutative Binomial Formula
Properties of q-Binomial Coefficients
q-Binomial Coefficients and Linear Algebra over Finite Fields
q-Taylor's Formula for Formal Power Series and Heine's Binomial Formula
Two Euler's Identities and Two q-Exponential Functions
q-Trigonometric Functions
Jacobi's Triple Product Identity
Classical Partition Function and Euler's Product Formula
q-Hypergeometric Functions and Heine's Formula
More on Heine's Formula and the General Binomial
Ramanujan Product Formula
Explicit Formulas for Sums of Two and of Four Squares
Explicit Formulas for Sums of Two and of Four Triangular Numbers
q-Antiderivative
Jackson Integral
Fundamental Theorem of q-Calculus and Integration by Parts
q-Gamma and q-Beta Functions
h-Derivative and h-Integral
Bernoulli Polynomials and Bernoulli Numbers
Sums of Powers
Euler-Maclaurin Formula
Symmetric Quantum Calculus
App.: A List of q-Antiderivatives
Literature
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×