Calculus for Cognitive Scientists Partial Differential Equation Mode
This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematic
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James K. Peterson
Calculus for Cognitive Scientists Partial Differential Equation Models
Cognitive Science and Technology Series editor David M.W. Powers, Adelaide, Australia
More information about this series at http://www.springer.com/series/11554
Jim makes his first step toward developing cephalopod measure for his new class in comparative cognition
James K. Peterson
Calculus for Cognitive Scientists Partial Differential Equation Models
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James K. Peterson Department of Mathematical Sciences Clemson University Clemson, SC USA
ISSN 2195-3988 ISSN 2195-3996 (electronic) Cognitive Science and Technology ISBN 978-981-287-878-6 ISBN 978-981-287-880-9 (eBook) DOI 10.1007/978-981-287-880-9 Library of Congress Control Number: 2015958343 © Springer Science+Business Media Singapore 2016 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 editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered company is Springer Science+Business Media Singapore Pte Ltd.
I dedicate this work to my students who have learned this material in its various preliminary versions, to my students who interested in working out models of various small creatures brains, have settled down and devoted months of effort to learning about excitable nerve cells in this abstract way and to the practicing scientists from biology, cognitive science, neurobiology and computational cognitive science who have helped an outsider think better in this very interdisciplinary world. As always, I also thank my family who have listened to my ideas in the living room, over dinner, in my study and on walks in the forest for many years. I hope that this new text helps to inspire all my students to consider mathematics and computer science as indispensable tools in their own work in the trying to understand cognition. This is the last preparatory text on the underlying mathematics and computation to study cognitive systems. In the next volume, the study of neural systems begins!
Ackno
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