Mathematics Form And Function
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Mathematics Form And Function
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Author : Saunders MacLane
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics Form And Function written by Saunders MacLane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.
Review Of Saunders Maclane S Mathematics Form And Function
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Author : H. A. Pogorzelski
language : en
Publisher:
Release Date : 2010
Review Of Saunders Maclane S Mathematics Form And Function written by H. A. Pogorzelski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Arithmetic categories.
Algebra
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Author : William G. McCallum
language : en
Publisher:
Release Date : 2015-02-20
Algebra written by William G. McCallum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-20 with categories.
Algebra Form And Function With Wileyplus Blackboard Card
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Author : Mccallum
language : en
Publisher:
Release Date : 2012-03-21
Algebra Form And Function With Wileyplus Blackboard Card written by Mccallum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-21 with categories.
Algebra
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Author : William G. McCallum
language : en
Publisher: John Wiley & Sons
Release Date : 2007-12-19
Algebra written by William G. McCallum and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-19 with Algebra categories.
Form is related to function. An airplane wing has the form it does because of its lifting function. The pillars of the Parthenon and the girders of a skyscraper are shaped to the purpose of supporting their massive structures. Similarly, the form of an algebraic expression or equation reflects its function. Algebra: Form and Function Preliminary Edition introduces each function--linear, power, quadratic, exponential, polynomial--and presents a study of the basic form of expressions for that function. Readers are encouraged to examine the basic forms, see how they are constructed, and consider the role of each component. Throughout the text, there are Tools sections placed at the ends of chapters to help readers acquire the skills they need to perform basic algebraic manipulations.
Functions And Graphs
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Author : I.M. Gelfand
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-12-01
Functions And Graphs written by I.M. Gelfand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-01 with Mathematics categories.
The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this same content, unchanged by over thirty years of experience and mathematical development, are available in the following books to any student who is willing to read, to be stimulated, and to learn. "Functions and Graphs" provides instruction in transferring formulas and data into geometrical form. Thus, drawing graphs is shown to be one way to "see" formulas and functions and to observe the ways in which they change. This skill is fundamental to the study of calculus and other mathematical topics. Teachers of mathematics will find here a fresh understanding of the subject and a valuable path to the training of students in mathematical concepts and skills.
Algebra Form And Function
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Author : William G. McCallum
language : en
Publisher: Wiley Global Education
Release Date : 2009-11-09
Algebra Form And Function written by William G. McCallum and has been published by Wiley Global Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-09 with Mathematics categories.
Algebra is fundamental to the working of modern society, yet its origins are as old as the beginnings of civilization. Algebraic equations describe the laws of science, the principles of engineering, and the rules of business. The power of algebra lies in its efficient symbolic representation of complex ideas, and this also presents the main difficulty in learning it. It is easy to forget the underlying structure of algebra and rely instead on a surface knowledge of algebraic manipulations.
Algebra
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Author : William G. McCallum
language : en
Publisher:
Release Date : 2015-08-14
Algebra written by William G. McCallum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with categories.
Algebra
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Author : William G. McCallum
language : en
Publisher: Wiley
Release Date : 2014-12-08
Algebra written by William G. McCallum and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-08 with Mathematics categories.
Algebra: Form and Function was designed based on the fundamental goal for a student to foster understanding of algebraic structure- that is, an understanding of how the arrangements of symbols allows us to predict, for example, the behavior of a function or the number of solutions to an equation. Mastering algebraic structure enables students to read algebraic expressions and equations in real-life contexts, not just manipulate them, and to choose which form or which operation will best suit the context. It facilitates being able to translate back and forth between symbolic, graphical, numerical, and verbal representations. By balancing practice in manipulation and opportunities to see the big picture, Algebra: Form and Function offers a way for teachers to help students achieve real mastery of algebra.
Algebra
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Author : Mccallum
language : en
Publisher:
Release Date : 2014-01-20
Algebra written by Mccallum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-20 with categories.