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1 Super Inner Product Super Spaces
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Peer reviewers: Professor Diego Lucio Rapoport Departamento de Ciencias y Tecnologia Universidad Nacional de Quilmes Roque Saen Peña 180, Bernal, Buenos Aires, Argentina Dr.S.Osman, Menofia University, Shebin Elkom, Egypt Prof. Mircea Eugen Selariu, Polytech University of Timisoara, Romania.
Copyright 2008 by InfoLearnQuest and authors Cover Design and Layout by Kama Kandasamy
Many books can be downloaded from the following Digital Library of Science: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm
ISBN-10: 1-59973-065-0 ISBN-13: 978-1-59973-065-3 EAN: 9781599730653
Standard Address Number: 297-5092 Printed in the United States of America
CONTENTS
Preface
Chapter One
SUPER VECTOR SPACES
5
7
1.1 Supermatrices
7 1.2 Super Vector Spaces and their Properties 27 1.3 Linear Transformation of Super Vector Spaces 53 1.4 Super Linear Algebra 81
Chapter Two SUPER INNER PRODUCT SUPERSPACES 123
2.1 Super Inner Product Super Spaces and their properties 2.2 Superbilinear form 2.3 Applications 123 185 214
