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Author : Henry Howes Pixley
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (69 download)
Download or read book A Generalization of the Pythagorean Proposition written by Henry Howes Pixley and published by . This book was released on 1924 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katarzyna Czyżewska
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (812 download)
Download or read book Generalization of the Pythagorean Theorem written by Katarzyna Czyżewska and published by . This book was released on 1991 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elisha Scott Loomis
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Pythagorean Proposition written by Elisha Scott Loomis and published by . This book was released on 1927 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Euclid
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author : Erich Christian Wittmann
Publisher : Springer Nature
ISBN 13 : 3030615707
Total Pages : 332 pages
Book Rating : 4.0/5 (36 download)
Download or read book Connecting Mathematics and Mathematics Education written by Erich Christian Wittmann and published by Springer Nature. This book was released on 2020-12-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.
Author : Daniele Antonio Di Pietro
Publisher : Springer
ISBN 13 : 3319946765
Total Pages : 323 pages
Book Rating : 4.3/5 (199 download)
Download or read book Numerical Methods for PDEs written by Daniele Antonio Di Pietro and published by Springer. This book was released on 2018-10-12 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.
Author : Amy Shell-Gellasch
Publisher : MAA
ISBN 13 : 0883851822
Total Pages : 191 pages
Book Rating : 4.8/5 (838 download)
Download or read book Hands on History written by Amy Shell-Gellasch and published by MAA. This book was released on 2007 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.
Author : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 0691196885
Total Pages : 284 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Pythagorean Theorem written by Eli Maor and published by Princeton University Press. This book was released on 2019-11-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
Author : Yau-Chuen Wong
Publisher : CRC Press
ISBN 13 : 9780824787790
Total Pages : 442 pages
Book Rating : 4.7/5 (877 download)
Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong and published by CRC Press. This book was released on 1992-08-25 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.
Author : Hiroshi Ishikawa
Publisher : Springer Nature
ISBN 13 : 3031435400
Total Pages : 380 pages
Book Rating : 4.0/5 (314 download)
Download or read book Hypothesis Generation and Interpretation written by Hiroshi Ishikawa and published by Springer Nature. This book was released on 2024-01-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses in detail on data science and data analysis and emphasizes the importance of data engineering and data management in the design of big data applications. The author uses patterns discovered in a collection of big data applications to provide design principles for hypothesis generation, integrating big data processing and management, machine learning and data mining techniques. The book proposes and explains innovative principles for interpreting hypotheses by integrating micro-explanations (those based on the explanation of analytical models and individual decisions within them) with macro-explanations (those based on applied processes and model generation). Practical case studies are used to demonstrate how hypothesis-generation and -interpretation technologies work. These are based on “social infrastructure” applications like in-bound tourism, disaster management, lunar and planetary exploration, and treatment of infectious diseases. The novel methods and technologies proposed in Hypothesis Generation and Interpretation are supported by the incorporation of historical perspectives on science and an emphasis on the origin and development of the ideas behind their design principles and patterns. Academic investigators and practitioners working on the further development and application of hypothesis generation and interpretation in big data computing, with backgrounds in data science and engineering, or the study of problem solving and scientific methods or who employ those ideas in fields like machine learning will find this book of considerable interest.
Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.6/5 (912 download)
Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--
Author : Carl Posy
Publisher : Springer Nature
ISBN 13 : 3031216555
Total Pages : 404 pages
Book Rating : 4.0/5 (312 download)
Download or read book Mathematical Knowledge, Objects and Applications written by Carl Posy and published by Springer Nature. This book was released on 2023-05-05 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike.
Author : Peter S. Rudman
Publisher : Prometheus Books
ISBN 13 : 1615929339
Total Pages : 248 pages
Book Rating : 4.6/5 (159 download)
Download or read book The Babylonian Theorem written by Peter S. Rudman and published by Prometheus Books. This book was released on 2010-01-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rudman explores the facisnating history of mathematics among the Babylonians and Egyptians. He formulates a Babylonian Theorem, which he shows was used to derive the Pythagorean Theorem about a millennium before its purported discovery by Pythagoras.
Author : Anderson Norton
Publisher : Routledge
ISBN 13 : 1000547019
Total Pages : 238 pages
Book Rating : 4.0/5 (5 download)
Download or read book The Psychology of Mathematics written by Anderson Norton and published by Routledge. This book was released on 2022-03-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level—including geometry, algebra, calculus, complex analysis, and more—Norton unlocks students’ personal power to construct mathematical objects based on their own mental activity and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared toward current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally.
Author : George Gheverghese Joseph
Publisher : Princeton University Press
ISBN 13 : 0691135266
Total Pages : 593 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Crest of the Peacock written by George Gheverghese Joseph and published by Princeton University Press. This book was released on 2011 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this book cover the history of mathematics, the beginnings of written mathematics, Egyptian and Mesopotamian mathematics, special topics in Chinese mathematics, and much more.
Author : Robert Hahn
Publisher : SUNY Press
ISBN 13 : 1438464894
Total Pages : 301 pages
Book Rating : 4.4/5 (384 download)
Download or read book The Metaphysics of the Pythagorean Theorem written by Robert Hahn and published by SUNY Press. This book was released on 2017-05-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores Thaless speculative philosophy through a study of geometrical diagrams. Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Platos Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahns book will enrich the study of ancient philosophy and mathematics alike.
Author : Steven J. Janke
Publisher : John Wiley & Sons
ISBN 13 : 1118712196
Total Pages : 408 pages
Book Rating : 4.1/5 (187 download)
Download or read book Mathematical Structures for Computer Graphics written by Steven J. Janke and published by John Wiley & Sons. This book was released on 2014-11-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes. Written for readers with various levels of mathematical background, the book develops a solid foundation for graphics techniques and fills in relevant graphics details often overlooked in the literature. Rather than use a rigid theorem/proof approach, the book provides a flexible discussion that moves from vector geometry through transformations, curve modeling, visibility, and lighting models. Mathematical Structures for Computer Graphics also includes: Numerous examples of two- and three-dimensional techniques along with numerical calculations Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images Mathematical Structures for Computer Graphics is an excellent textbook for undergraduate courses in computer science, mathematics, and engineering, as well as an ideal reference for practicing engineers, researchers, and professionals in computer graphics fields. The book is also useful for those readers who wish to understand algorithms for producing their own interesting computer images.
