Patrick Muldowney - Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics

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A stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus Picking up where his previous book,
, left off,
introduces readers to particular problems of integration in the probability-like theory of quantum mechanics. Written as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of
in order to be understandable.
Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes. Field theory, including discussions of gauges for product spaces and quantum electrodynamics. Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within. An introduction to basic gauge integral theory. The methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable «Black Box» theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil,
is an illuminating and insightful exploration of the complex mathematical topics contained within.

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Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics

Patrick Muldowney

Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics - изображение 22

This edition first published copyright

© 2021 John Wiley & Sons

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Patrick Joseph Muldowney to be identified as the author of this work has been asserted in accordance with law.

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While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress Cataloging‐in‐Publication Data

Names: Muldowney, P. (Patrick), 1946- author.

Title: Gauge integral structures for stochastic calculus and quantum electrodynamics / Patrick Muldowney.

Description: Hoboken, NJ :Wiley, [2020] | Includes bibliographical references and index.

Identifiers: LCCN 2020016333 (print) | LCCN 2020016334 (ebook) | ISBN 9781119595496 (cloth) | ISBN 9781119595502 (adobe pdf) | ISBN 9781119595526 (epub)

Subjects: LCSH: Stochastic analysis. | Henstock-Kurzweil integral. | Feynman integrals. | Quantum electrodynamics‐Mathematics.

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