Druck auf Anfrage Neuware - Printed after ordering - This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and thendifferential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.

Seller Inventory # 9783319826554

Contact seller

Report this item

Bibliographic Details

Title: Mathematical Analysis and the Mathematics of Computation
Publisher: Springer International Publishing, Springer International Publishing
Publication Date: 2018
Language: English
ISBN 10: 3319826557
ISBN 13: 9783319826554
Binding: Taschenbuch
Condition: Neu
Dimensions: 235 millimeters width by 155 millimeters height by 39 millimeters depth
Weight: 1083 grams

About this title

Synopsis

This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications.

The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations.

This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.

About the Author

Prof. Dr. Werner R�misch received his Dr. rer. nat. in 1976 and his habilitation in 1984, both from Humboldt-Universit�t zu Berlin. He is now an emeritus professor of Humboldt-Universit�t zu Berlin, Institut f�r Mathematik. His research interests are stochastic optimization with applications to power systems optimization and airline revenue management, and stochastic equations.

Prof. Dr. Thomas Zeugmann received his Dr. rer. nat. in mathematics in 1983 from Humboldt-Universit�t zu Berlin, and his habilitation in computer science from the Technische Universit�t Darmstadt in 1993. He was a professor in Kyushu University and Universit�t zu L�beck; since 2004 he has been a professor at Hokkaido University. His research interests include algorithmic learning theory, stochastic algorithms, and parallel algorithms.

"About this title" may belong to another edition of this title.

Store Description

Das Unternehmen AHA-BUCH GmbH: Seit der Gr�ndung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisg�nstig wie m�glich ihren B�cherwunsch zu erf�llen. Unsere Firma besch�ftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine W�nsche! Auf �ber 3700 m2 Fl�che haben wir �ber 100.000 B�cher, Modernes Antiquariat und Spiele auf Lager.

Visit Seller's Storefront

Seller's business information

AHA-BUCH GmbH
Garlebsen 48, Einbeck, 37574, Germany

Sale & Shipping Terms

Terms of Sale

General Terms and Conditions and Customer Information / Privacy Policy

I. General Terms and Conditions

� 1 Basic provisions

(1) The following terms and conditions apply to all contracts that you conclude with us as a provider (AHA-BUCH GmbH) via the Internet platforms AbeBooks and/or ZVAB. Unless otherwise agreed, the inclusion of any of your own terms and conditions used by you will be objected to

(2) A consumer within the meaning of the following regulations is any natural person who concludes...

More Information

Right of cancellation

**Right of withdrawal for consumers **

(A consumer is any natural person who concludes a legal transaction for purposes that can predominantly be attributed neither to their commercial nor their independent professional activity.)

Cancellation
Withdrawal
You have the right to revoke this contract within fourteen days without giving reasons.
The revocation period is fourteen days from the day,

on which you or a third party named by you, who is not the carrier, has taken possession of the goods, provided that you have ordered one or more goods within the framework of a uniform order and these are or will be delivered uniformly;
on which you or a third party named by you, who is not the carrier, has taken possession of the last goods, provided that you have ordered several goods within the framework of a single order and these are delivered separately;
on which you or a third party named by you, who is not the carrier, has taken possession of the last partial shipment or the last piece, provided that you have ordered goods that are delivered in several partial shipments or pieces;

In order to exercise your right of withdrawal, you must inform us (AHA-BUCH GmbH, Garlebsen 48, 37574 Einbeck, telephone number: 05563 9996039, fax number: 05563 9995974, e-mail address: service@aha-buch.de) of your decision to revoke this contract by means of a clear declaration (e.B. a letter sent by post, fax or e-mail). You can use the attached model withdrawal form, but this is not mandatory.

To comply with the revocation period, it is sufficient that you send the notification of the exercise of the right of revocation before the expiry of the revocation period.

Consequences of revocation

If you withdraw from this contract, we shall reimburse you all payments that we have received from you, including delivery costs (with the exception of the additional costs resulting from the fact that you have chosen a different type of delivery than the cheapest standard delivery offered by us), immediately and at the latest within fourteen days from the day on which we received the notification of your revocation of this contract.
For this repayment, we will use the same means of payment that you used for the original transaction, unless expressly agreed otherwise with you; in no case will you be charged any fees for this repayment.

We may withhold reimbursement until we have received the goods back or until you have provided proof that you have returned the goods, whichever is the earlier.

You must return or hand over the goods to us immediately and in any case at the latest within fourteen days from the day on which you inform us of the revocation of this contract. The deadline is met if you send the goods before the expiry of the period of fourteen days.

You bear the direct costs of returning the goods.

You only have to pay for any loss of value of the goods if this loss of value is due to handling of the goods that is not necessary to check the nature, characteristics and functioning of the goods.

Reasons for exclusion or extinction

The right of revocation does not apply to contracts

for the delivery of goods which are not prefabricated and for the manufacture of which an individual choice or determination by the consumer is decisive or which are clearly tailored to the personal needs of the consumer;
for the delivery of goods that can spoil quickly or whose expiry date would be exceeded quickly;
for the delivery of alcoholic beverages, the price of which was agreed at the time of conclusion of the contract, but which can be delivered at the earliest 30 days after conclusion of the contract and whose current value depends on fluctuations in the market over which the entrepreneur has no influence;
for the delivery of newspapers, magazines or magazines with the exception of subscription contracts.

The right of revocation expires prematurely in the case of contracts

for the delivery of sealed goods that are not suitable for return for reasons of health protection or hygiene, if their seal has been removed after delivery;
for the delivery of goods if they have been inseparably mixed with other goods after delivery due to their nature;
for the delivery of sound or video recordings or computer software in a sealed package, if the seal has been removed after delivery.

Sample withdrawal form

(If you want to cancel the contract, please fill out this form and send it back.)

To AHA-BUCH GmbH, Garlebsen 48, 37574 Einbeck, fax number: 05563 9995974, e-mail address: service@aha-buch.de :
I/we () hereby revoke the contract concluded by me/us () for the purchase of the following goods ()/
the provision of the following service ()
Ordered on ()/ received on ()
Name of the consumer(s)
Address of the consumer(s)
Signature of the consumer(s) (only in case of notification on paper)
Date

(*) Delete as appropriate.

Shipping Terms

We ship your order after we received them
for articles on hand latest 24 hours,
for articles with overnight supply latest 48 hours.
In case we need to order an article from our supplier our dispatch time depends on the reception date of the articles, but the articles will be shipped on the same day.

Our goal is to send the ordered articles in the fastest, but also most efficient and secure way to our customers.

Shipping rates from Germany to U.S.A.

Shipping rates from Germany to U.S.A.
Order quantity	30 to 40 business days	7 to 14 business days
First item	� 56.70	� 65.37

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Detailed Seller Information