Free Calculus A Liberation From Concepts And Proofs
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Free Calculus
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Author : Qun Lin
language : en
Publisher: World Scientific
Release Date : 2008
Free Calculus written by Qun Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Conventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In Free Calculus, the author suggests a direct approach to the two fundamental concepts of calculus OCo differentiation and integration OCo using two inequalities. Regular calculus is condensed into a single concise chapter. This makes the teaching of physics in step with the calculus teaching.
Free Calculus A Liberation From Concepts And Proofs
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Author : Qun Lin
language : en
Publisher: World Scientific
Release Date : 2008-05-23
Free Calculus A Liberation From Concepts And Proofs written by Qun Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-23 with Mathematics categories.
Conventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In Free Calculus, the author suggests a direct approach to the two fundamental concepts of calculus — differentiation and integration — using two inequalities. Regular calculus is condensed into a single concise chapter. This makes the teaching of physics in step with the calculus teaching.
A Systemic Perspective On Cognition And Mathematics
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Author : Jeffrey Yi-Lin Forrest
language : en
Publisher: CRC Press
Release Date : 2013-02-28
A Systemic Perspective On Cognition And Mathematics written by Jeffrey Yi-Lin Forrest and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-28 with Computers categories.
This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development of systems research, which has brought forward revolutionary applications of systems research in various areas of the traditional disciplines, the first dimension of science. After the systemic structure of thought is factually revealed, mathematics, as a product of thought, is analyzed by using the age-old concepts of actual and potential infinities. In an attempt to rebuild the system of mathematics, this volume first provides a new look at some of the most important paradoxes, which have played a crucial role in the development of mathematics, in proving what these paradoxes really entail. Attention is then turned to constructing the logical foundation of two different systems of mathematics, one assuming that actual infinity is different than potential infinity, and the other that these infinities are the same. This volume will be of interest to academic researchers, students and professionals in the areas of systems science, mathematics, philosophy of mathematics, and philosophy of science.
Congressional Record
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Author : United States. Congress
language : en
Publisher:
Release Date :
Congressional Record written by United States. Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Law categories.
The Congressional Record is the official record of the proceedings and debates of the United States Congress. It is published daily when Congress is in session. The Congressional Record began publication in 1873. Debates for sessions prior to 1873 are recorded in The Debates and Proceedings in the Congress of the United States (1789-1824), the Register of Debates in Congress (1824-1837), and the Congressional Globe (1833-1873)
Calculus Of Variations And Optimal Control Theory
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Author : Daniel Liberzon
language : en
Publisher: Princeton University Press
Release Date : 2012
Calculus Of Variations And Optimal Control Theory written by Daniel Liberzon and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
The Philosopher S Index
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Author :
language : en
Publisher:
Release Date : 1978
The Philosopher S Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Philosophy categories.
Principles Of Mathematics
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Author : Bertrand Russell
language : en
Publisher:
Release Date : 2009-08
Principles Of Mathematics written by Bertrand Russell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08 with Mathematics categories.
Mathematics.
The Mathematical Career Of Pierre De Fermat 1601 1665
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Author : Michael Sean Mahoney
language : en
Publisher: Princeton University Press
Release Date : 1994
The Mathematical Career Of Pierre De Fermat 1601 1665 written by Michael Sean Mahoney and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Biography & Autobiography categories.
Hailed as one of the greatest mathematical results of the twentieth century, the recent proof of Fermat's Last Theorem by Andrew Wiles brought to public attention the enigmatic problem-solver Pierre de Fermat, who centuries ago stated his famous conjecture in a margin of a book, writing that he did not have enough room to show his "truly marvelous demonstration." Along with formulating this proposition--xn+yn=zn has no rational solution for n > 2--Fermat, an inventor of analytic geometry, also laid the foundations of differential and integral calculus, established, together with Pascal, the conceptual guidelines of the theory of probability, and created modern number theory. In one of the first full-length investigations of Fermat's life and work, Michael Sean Mahoney provides rare insight into the mathematical genius of a hobbyist who never sought to publish his work, yet who ranked with his contemporaries Pascal and Descartes in shaping the course of modern mathematics.
Interactive Theorem Proving And Program Development
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Author : Yves Bertot
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Interactive Theorem Proving And Program Development written by Yves Bertot 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 2013-03-14 with Mathematics categories.
A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.
Mathematics Under The Microscope
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Author : Alexandre Borovik
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Mathematics Under The Microscope written by Alexandre Borovik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain mathematical concepts more intuitive than others? And to what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain?