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Title: Calculus With Applications
Authors: Lax, Peter D.
Terrell, Maria Shea
Keywords: Mathematics
Calculus With Applications
Issue Date: 2014
Publisher: Springer
Abstract: Our purpose in writing a calculus text has been to help students learn at first hand that mathematics is the language in which scientific ideas can be precisely formu- lated, that science is a source of mathematical ideas that profoundly shape the de- velopment of mathematics, and that mathematics can furnish brilliant answers to important scientific problems. This book is a thorough revision of the text Calculus with Applications and Computing by Lax, Burstein, and Lax. The original text was predicated on a number of innovative ideas, and it included some new and nontradi- tional material. This revision is written in the same spirit. It is fair to ask what new subject matter or new ideas could possibly be introduced into so old a topic as calcu- lus. The answer is that science and mathematics are growing by leaps and bounds on the research frontier, so what we teach in high school, college, and graduate school must not be allowed to fall too far behind. As mathematicians and educators, our goal must be to simplify the teaching of old topics to make room for new ones.
Description: We are grateful to the many colleagues and students in the mathematical commu- nity who have supported our efforts to write this book. The first edition of this book was written in collaboration with Samuel Burstein. We thank him for allowing us to draw on his work. We wish to thank John Guckenheimer for his encouragement and advice on this project. We thank Matt Guay, John Meluso, and Wyatt Deviau, who while they were undergraduates at Cornell, carefully read early drafts of the manuscript, and whose perceptive comments helped us keep our student audience in mind. We also wish to thank Patricia McGrath, a teacher at Maloney High School in Meriden, Connecticut, for her thoughtful review and suggestions, and Thomas Kern and Chenxi Wu, graduate students at Cornell who assisted in teaching calcu- lus II with earlier drafts of the text, for their help in writing solutions to some of the homework problems. Many thanks go to the students at Cornell who used early drafts of this book in fall 2011 and 2012. Thank you all for inspiring us to work on this project, and to make it better. This current edition would have been impossible without the support of Bob Terrell, Maria’s husband and long-time mathematics teacher at Cornell. From TEX- ing the manuscript to making the figures, to suggesting changes and improvements, at every step along the way we owe Bob more than we can say. Peter Lax thanks his colleagues at the Courant Institute, with whom he has dis- cussed over 50 years the challenge of teaching calculus.
URI: http://localhost:8080/xmlui/handle/123456789/128
ISBN: 978-1-4614-7946-8
Appears in Collections:ARTS & SCIENCE

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