Analysis And Synthesis In Mathematics

Author : Michael Otte
Publisher : Springer Science & Business Media
ISBN 13 : 9780792345701
Total Pages : 476 pages
Book Rating : 4.03/5 ( download)

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Download or read book Analysis and Synthesis in Mathematics written by Michael Otte and published by Springer Science & Business Media. This book was released on 1997 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the main interpretations of the classical distinction between analysis and synthesis with respect to mathematics. In the first part, this is discussed from a historical point of view, by considering different examples from the history of mathematics. In the second part, the question is considered from a philosophical point of view, and some new interpretations are proposed. Finally, in the third part, one of the editors discusses some common aspects of the different interpretations.

Author : I. Bernard Cohen
Publisher : Cambridge University Press
ISBN 13 : 1139826026
Total Pages : 785 pages
Book Rating : 4.20/5 ( download)

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Download or read book The Cambridge Companion to Newton written by I. Bernard Cohen and published by Cambridge University Press. This book was released on 2002-04-25 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sir Isaac Newton (1642–1727) was one of the greatest scientists of all time, a thinker of extraordinary range and creativity who has left enduring legacies in mathematics and the natural sciences. In this volume a team of distinguished contributors examine all the main aspects of Newton's thought, including not only his approach to space, time, mechanics, and universal gravity in his Principia, his research in optics, and his contributions to mathematics, but also his more clandestine investigations into alchemy, theology, and prophecy, which have sometimes been overshadowed by his mathematical and scientific interests.

Author : Peter M. Luthy
Publisher : Springer Nature
ISBN 13 : 3031024095
Total Pages : 84 pages
Book Rating : 4.92/5 ( download)

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Download or read book The Fundamentals of Analysis for Talented Freshmen written by Peter M. Luthy and published by Springer Nature. This book was released on 2022-05-31 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for "talented" freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this subject and be a good preparation for more of the undergraduate curriculum.

Author : National Council of Teachers of Mathematics
Publisher :
ISBN 13 : 9780873531580
Total Pages : 171 pages
Book Rating : 4.82/5 ( download)

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Download or read book Analysis and Synthesis As Problem-Solving Methods written by National Council of Teachers of Mathematics and published by . This book was released on 1969 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jérôme Sueur
Publisher : Springer
ISBN 13 : 3319776479
Total Pages : 637 pages
Book Rating : 4.77/5 ( download)

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Download or read book Sound Analysis and Synthesis with R written by Jérôme Sueur and published by Springer. This book was released on 2018-06-06 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sound is almost always around us, anywhere, at any time, reaching our ears and stimulating our brains for better or worse. Sound can be the disturbing noise of a drill, a merry little tune sung by a friend, the song of a bird in the morning or a clap of thunder at night. The science of sound, or acoustics, studies all types of sounds and therefore covers a wide range of scientific disciplines, from pure to applied acoustics. Research dealing with acoustics requires a sound to be recorded, analyzed, manipulated and, possibly, changed. This is particularly, but not exclusively, the case in bioacoustics and ecoacoustics, two life sciences disciplines that attempt to understand and to eavesdrop on the sound produced by animals. Sound analysis and synthesis can be challenging for students, researchers and practitioners who have few skills in mathematics or physics. However, deciphering the structure of a sound can be useful in behavioral and ecological research – and also very amusing. This book is dedicated to anyone who wants to practice acoustics but does not know much about sound. Acoustic analysis and synthesis are possible, with little effort, using the free and open-source software R with a few specific packages. Combining a bit of theory, a lot of step-by-step examples and a few cases studies, this book shows beginners and experts alike how to record, read, play, decompose, visualize, parametrize, change, and synthesize sound with R, opening a new way of working in bioacoustics and ecoacoustics but also in other acoustic disciplines.

Author : Dineen Sean
Publisher : World Scientific Publishing Company
ISBN 13 : 9814401404
Total Pages : 320 pages
Book Rating : 4.01/5 ( download)

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Download or read book Analysis: A Gateway To Understanding Mathematics written by Dineen Sean and published by World Scientific Publishing Company. This book was released on 2012-05-04 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

Author : Leon Simon
Publisher : Springer Nature
ISBN 13 : 3031023943
Total Pages : 132 pages
Book Rating : 4.41/5 ( download)

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Download or read book An Introduction to Multivariable Mathematics written by Leon Simon and published by Springer Nature. This book was released on 2022-05-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in the first ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students. Table of Contents: Linear Algebra / Analysis in R / More Linear Algebra / More Analysis in R / Appendix: Introductory Lectures on Real Analysis

Author : Walter Carnielli
Publisher : Springer Science & Business Media
ISBN 13 : 1402067828
Total Pages : 612 pages
Book Rating : 4.22/5 ( download)

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Download or read book Analysis and Synthesis of Logics written by Walter Carnielli and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.

Author : Zhiguang Feng
Publisher : Academic Press
ISBN 13 : 0128237406
Total Pages : 264 pages
Book Rating : 4.03/5 ( download)

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Download or read book Analysis and Synthesis of Singular Systems written by Zhiguang Feng and published by Academic Press. This book was released on 2020-11-04 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H8 control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems. This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems. Discusses recent advances in analysis and synthesis problems for linear singular systems and nonlinear singular systems Offers a base for further theoretical research as well as a design guide for engineering applications of singular systems Presents several necessary and sufficient conditions for delay-free singular systems and some less conservative results for time-delay singular systems

Author : Brian D. O. Anderson
Publisher : Courier Corporation
ISBN 13 : 0486152170
Total Pages : 560 pages
Book Rating : 4.72/5 ( download)

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Download or read book Network Analysis and Synthesis written by Brian D. O. Anderson and published by Courier Corporation. This book was released on 2013-01-30 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive look at linear network analysis and synthesis explores state-space synthesis as well as analysis, employing modern systems theory to unite classical concepts of network theory. 1973 edition.