Introduction to Superanalysis, A.A. Kirillov; F.A. Berezin; J. Niederle; R. Kotec

Автор: A.A. Kirillov; F.A. Berezin; J. Niederle; R. Kotec
Название: Introduction to Superanalysis
ISBN: 9027716684 ISBN-13(EAN): 9789027716682
Издательство: Springer
Рейтинг:
Цена: 20896.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: TO SUPERANAL YSIS Edited by A. A. KIRILLOV Translated from the Russian by J. Niederle and R. Kotecky English translation edited and revised by Dimitri Leites SPRINGER-SCIENCE+BUSINESS MEDIA, B. V. Library of Congress Cataloging-in-Publication Data Berezin, F. A. (Feliks Aleksandrovich) Introduction to superanalysis. (Mathematical physics and applied mathematics; v. 9) Part I is translation of: Vvedenie v algebru i analiz s antikommutirurushchimi peremennymi. Bibliography: p. Includes index. 1. Mathetical analysis. I. Title. II. Title: Superanalysis. III. Series. QA300. B459 1987 530. 15'5 87-16293 ISBN 978-90-481-8392-0 ISBN 978-94-017-1963-6 (eBook) DOI 10. 1007/978-94-017-1963-6 All Rights Reserved (c) 1987 by Springer Science+Business Media Dordrecht Originally published by D. Reidel Publishing Company, Dordrecht, Holland in 1987 No part of the material protected by this copyright notice may be reproduced in whole or in part or utilized in any form or by any means electronic or mechanical including photocopying recording or storing in any electronic information system without first obtaining the written permission of the copyright owner. CONTENTS EDITOR'S FOREWORD ix INTRODUCTION 1 1. The Sources 1 2. Supermanifolds 3 3. Additional Structures on Supermanifolds 11 4. Representations of Lie Superalgebras and Supergroups 21 5. Conclusion 23 References 24 PART I CHAPTER 1. GRASSMANN ALGEBRA 29 1. Basic Facts on Associative Algebras 29 2. Grassmann Algebras 35 3. Algebras A(U) 55 CHAPTER 2. SUPERANAL YSIS 74 1. Derivatives 74 2. Integral 76 CHAPTER 3. LINEAR ALGEBRA IN Zz-GRADED SPACES 90 1.

Автор: Andrei Y. Khrennikov
Название: Superanalysis
ISBN: 0792356071 ISBN-13(EAN): 9780792356073
Издательство: Springer
Рейтинг:
Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This work looks at the subject of superanalysis, the theory of functions of commuting and anticommuting variables. It offers the possibility of extending the notion of space, and operating on spaces which are described by noncommuting coordinates. It includes coverage of Cauchy-Riemann conditions.