"Sweet Reason: A Field Guide to Modern Logic, 2nd Edition offers an innovative, friendly, and effective introduction to logic. It integrates formal first order, modal, and non–classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics. An innovative introduction to the field of logic designed to entertain as it informs Integrates formal first ..."
"Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and S ..."
An Outline of Set Theory(Reprint) (Problem Books in Mathematics) by JamesM. Henle Paperback, 146 Pages, Published 1986 by Springer ISBN-13: 978-0-387-96368-6, ISBN: 0-387-96368-5
"This book is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, that the experience is equally valuable to ordinary mathematics majors. I use a recent modification of R. L. Moore's ..."
An Outline of Set Theory (Dover Books on Mathematics) by JamesM. Henle Paperback, 160 Pages, Published 2007 by Dover Publications ISBN-13: 978-0-486-45337-8, ISBN: 0-486-45337-5
"A problem-oriented introduction to set theory, this volume is intended for undergraduate courses in which students work on projects in groups and present their solutions to the class. With all necessary assistance from the instructor, students complete their weekly assignments, write short papers for their classmates, and lecture on their results. This method offers a deeper understanding of the material, as well as a clearer view of wh ..."
"Sweet Reason is a unique introductory logic text that covers both the basic rudiments of formal and informal logic as well as the real world where the discipline of logic adds substance and meaning to human discourse. As the text alternately discusses, instructs, questions, teases and challenges, readers will find themselves absorbing the fundamentals of the discipline, becoming fluent in the language of logic, understanding how logic w ..."
"Calculus: The Language of Change is an innovative new introductory textbook that blends reform and traditional approaches with a focus on understanding calculus as its own language. With accessible writing and presentation, the book allows students to gradually understand the language -- first by reviewing vocabulary, and then quickly moving to present calculus conceptually, computationally, and theoretically. Within this framework, der ..."
"Sweet Reason is an introductory text for courses on modern logic unlike any other. The basic rudiments of formal and informal logic are here, all clearly described. But Tom and Jim go much further. They focus students on the real world, where the discipline of logic adds substance and meaning to all kinds of human discourse. Everything from puzzles, paradoxes, and mathematical proofs to campaign debate excerpts, government regulations, ..."
"Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition."
"There's a perfectly decent antiderivative for this integral, namely, 1 2 — 27re-2r .
We can check that out: (-2ne-i'-2)' = -2«e-h'2 • (-§r2)' = — 27re-^r2 • (— r) = 27rre-
2r . Now we compute: r Jo 2irre iT' dr = — 2jre 2 7-2 = _2*e-V - (-27re-i°2) ..."
Numerous Numerals by JamesM. Henle Paperback, 40 Pages, Published 1975 by Natl Council Of Teachers Of ISBN-13: 978-0-87353-079-8, ISBN: 0-87353-079-9
"Seventeen essays, with exercises, explaining both "new" numeration systems,such as fracimals, frictions, zerones, and negaheximals, and such familiar material ..."
Sweet Reason(1st Edition) A Field Guide to Modern Logic (Textbooks in Mathematical Sciences) by Tom Tymoczko, Jim M. Henle, JamesM. Henle, Thomas Tymoczko Paperback, 644 Pages, Published 2004 by Springer Publishing ISBN-13: 978-0-387-98930-3, ISBN: 0-387-98930-7
"A revolutionary, introductory text for courses on modern logic. While the basic rudiments of formal and informal logical are all clearly described here, it also focuses students on the real world, where the discipline of logic adds substance and meaning to all kinds of human discourse. Everything from puzzles, paradoxes, and mathematical proofs, to campaign debate excerpts, government regulations, and cartoon ..."
"For example, the sequence {#} similar rules for classes of functions other than
polynomials simply do not. Wouldn't it be nice then if every function f(x) were
actually equal to some polynomial? For a start, we shouldn't hope for literally
every function to be equal to a polynomial, for polynomials are differentiable
whereas there exist many functions that are not. There is an additional obstacle.
Given any polynomial p(x), if we d ..."
"... information in regard to the subject matter covered. It is sold on the
understanding that the publisher is not engaged in rendering professional
services. If professional advice or other expert assistance is required, the
services of a competent professional should be sought. Library of Congress
CataIoging-in-Publication Data Henle, James M. Sweet reason : a field guide to
modern logic / James M. Henle, Jay L. Garfield, Thomas ..."
"In the conversation Growth and Decay, we took a different approach to solving y'
= ky. ... by Anthony Lo Bello and Maurice D. Weir, in the UMAP Journal vol. ..."
The Proof and the Pudding What Mathematicians, Cooks, and You Have in Common by Jim Henle, JamesM. Henle Hardcover, 176 Pages, Published 2015 by Princeton University Press ISBN-13: 978-0-691-16486-1, ISBN: 0-691-16486-X
"Tantalizing math puzzles and cooking recipes that show how mathematical thinking is like the culinary artsTie on your apron and step into Jim Henle's kitchen as he demonstrates how two equally savory pursuits―cooking and mathematics―have more in common than you realize. A tasty dish for gourmets of popular math, The Proof and the Pudding offers a witty and flavorful blend of mathematical treats and gastronomic delights that reveal how l ..."
An Outline of Set Theory by JamesM. Henle 146 Pages, Published 2012 by Springer Science & Business Media ISBN-13: 978-1-4613-8680-3, ISBN: 1-4613-8680-2
"Replace all the '2's with 3's. Subtract 1. Rewrite in superbase 3. Replace all the
3's with 4's. Subtract 1. Rewrite in superbase 4. Goodstein says that eventually
you will reach the number 0! If we follow the steps for a small number, 8."
"—Andrew Hamilton, April 28, 2005 Like the great majority of those who have
become prominent conservative political and media figures ... I see no appeal in
reading “The Great Gatsby” indoors on my computer screen and gain much
satisfaction in owning a beautiful leather-bound copy of a treasured literary work
of art."
"Slavery and the University is the first edited collection of scholarly essays devoted solely to the histories and legacies of this subject on North American campuses and in their Atlantic contexts. Gathering together contributions from scholars, activists, and administrators, the volume combines two broad bodies of work: (1) historically based interdisciplinary research on the presence of slavery at higher education institutions in term ..."
Sound And Fury by JamesHenle Paperback, 264 Pages, Published 2012 by Literary Licensing, Llc ISBN-13: 978-1-258-27745-1, ISBN: 1-258-27745-X