Introduction to Partial Differential Equations: From Fourier Series to Boundary Value Problems
Language: English
Published by Dover Publications Inc., 2010
- Softcover
- Used
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.World of Books (was SecondSale)
AbeBooks seller since December 20, 2007
Condition: Used - Fair
£ 5.73
Quantity: 1 available
Add to basketItem description from seller
This exceptionally well-written and well-organized text is the outgrowth of a course given every year for 45 years at the Chalmers University of Technology, Goteborg, Sweden. The object of the course was to give students a basic knowledge of Fourier analysis and certain of its applications. The text is self-contained with respect to such analysis; however, in areas where the author relies on results from branches of mathematics outside the scope of this book, references to widely used books are given.Table of Contents: Chapter 1. Fourier series1.1 Basic concepts1.2 Fourier series and Fourier coefficients1.3 A minimizing property of the Fourier coefficients. The Riemann-Lebesgue theorem1.4 Convergence of Fourier series1.5 The Parseval formula1.6 Determination of the sum of certain trigonometric seriesChapter 2. Orthogonal systems2.1 Integration of complex-valued functions of a real variable2.2 Orthogonal systems2.3 Complete orthogonal systems2.4 Integration of Fourier series2.5 The Gram-Schmidt orthogonalization process2.6 Sturm-Liouville problemsChapter 3. Orthogonal polynomials3.1 The Legendre polynomials3.2 Legendre series3.3 The Legendre differential equation. The generating function of the Legendre polynomials3.4 The Tchebycheff polynomials3.5 Tchebycheff series3.6 The Hermite polynomials. The Laguerre polynomialsChapter 4. Fourier transforms4.1 Infinite interval of integration4.2 The Fourier integral formula: a heuristic introduction4.3 Auxiliary theorems4.4 Proof of the Fourier integral formula. Fourier transforms4.5 The convention theorem. The Parseval formulaChapter 5. Laplace transforms5.1 Definition of the Laplace transform. Domain. Analyticity5.2 Inversion formula5.3 Further properties of Laplace transforms. The convolution theorem5.4 Applications to ordinary differential equationsChapter 6. Bessel functions6.1 The gamma function6.2 The Bessel differential equation. Bessel functions6.3 Some particular Bessel functions6.4 Recursion formulas for the Bessel functions6.5 Estimation of Bessel functions for large values of x. The zeros of the Bessel functions6.6 Bessel series6.7 The generating function of the Bessel functions of integral order6.8 Neumann functionsChapter 7. Partial differential equations of first order7.1 Introduction7.2 The differential equation of a family of surfaces7.3 Homogeneous differential equations7.4 Linear and quasilinear differential equationsChapter 8. Partial differential equations of second order8.1 Problems in physics leading to partial differential equations8.2 Definitions8.3 The wave equation8.4 The heat equation8.5 The Laplace equationAnswers to exercises; Bibliography; Conventions; Symbols; IndexWritten on an advanced level, the book is aimed at advanced undergraduates and graduate students with a background in calculus, linear algebra, ordinary differential equations, and complex analysis. Over 260 carefully chosen exercises, with answers, encompass both routing and more challenging problems to help students test their grasp of the material.…
Seller Inventory # 00109953500
- Title
- Introduction to Partial Differential Equations: From Fourier Series to Boundary Value Problems
- Author
- Anne Broman
- Publisher
- Dover Publications Inc.
- Publication year
- 2010
- Condition
- Fair
- Binding
- Paperback
- Language
- English
- ISBN 10
- 048666158X
- ISBN 13
- 9780486661582
"Synopsis" may belong to another edition of this title.
Synopsis
"About the title" may belong to another edition of this title.
World of Books (was SecondSale)
Montgomery, IL, U.S.A.
AbeBooks seller since December 20, 2007
Shipping rates within U.S.A.
| Item | 4 to 12 business days | 3 to 6 business days |
|---|---|---|
| First item | £ 0.00 | £ 8.27 |
Payment methods
Store description
Founded in 2002, World of Books is a leading online destination for buying and selling both preloved and new books, committed to making sustainable reading accessible to all. With a mission to help people read more and waste less, World of Books offers a huge range of affordable, high-quality books — giving both new and preloved titles a second life. The company also operates World of Books – Sell Your Books, an easy-to-use platform that allows customers to trade in unwanted books for cash, helping to keep books in circulation while promoting sustainability. As a Certified B Corp, World of Books is driven by a vision to become the world’s largest and most sustainable dedicated online bookstore. The company measures its success through the positive environmental impact it creates, the value it provides to customers, and its ability to operate profitably while supporting its sustainable mission …
Seller's business information
SBYB, Inc.
900 Knell Rd
Montgomery, IL U.S.A. 60538
Terms of sale
We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to World of Books (was SecondSale), Montgomery, Illinois, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.