Quadratic Forms

In Sect. 3 the notion of scalar product on a finite dimensional real vector space has been introduced as a bilinear symmetric map \(\cdot \,:\, V\times V\,\rightarrow \,\mathbb R\) with additional properties.

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Giovanni Landi · Alessandro Zampini

Linear Algebra and Analytic Geometry for Physical Sciences

Undergraduate Lecture Notes in Physics

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Giovanni Landi Alessandro Zampini •

Linear Algebra and Analytic Geometry for Physical Sciences

123

Giovanni Landi University of Trieste Trieste Italy

Alessandro Zampini INFN Sezione di Napoli Napoli Italy

ISSN 2192-4791 ISSN 2192-4805 (electronic) Undergraduate Lecture Notes in Physics ISBN 978-3-319-78360-4 ISBN 978-3-319-78361-1 (eBook) https://doi.org/10.1007/978-3-319-78361-1 Library of Congress Control Number: 2018935878 © Springer International Publishing AG, part of Springer Nature 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editor