Principia Mathematica
Author: Alfred North Whitehead
Publisher:
Published: 1910
Total Pages: 688
ISBN-13:
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Topology
Author: Marco Manetti
Publisher: Springer
Published: 2015-06-19
Total Pages: 315
ISBN-13: 3319169580
DOWNLOAD EBOOKThis is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.
Monthly Catalog of United States Government Publications
Author: United States. Superintendent of Documents
Publisher:
Published: 1991
Total Pages: 1240
ISBN-13:
DOWNLOAD EBOOKPeano
Author: H. Kennedy
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 238
ISBN-13: 9400989849
DOWNLOAD EBOOKAll students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.
Teaching the Content Areas to English Language Learners in Secondary Schools
Author: Luciana C. de Oliveira
Publisher: Springer
Published: 2019-01-17
Total Pages: 334
ISBN-13: 3030022455
DOWNLOAD EBOOKThis practitioner-based book provides different approaches for reaching an increasing population in today’s schools - English language learners (ELLs). The recent development and adoption of the Common Core State Standards for English Language Arts and Literacy in History/Social Studies, Science, and Technical Subjects (CCSS-ELA/Literacy), the Common Core State Standards for Mathematics, the C3 Framework, and the Next Generation Science Standards (NGSS) highlight the role that teachers have in developing discipline-specific competencies. This requires new and innovative approaches for teaching the content areas to all students. The book begins with an introduction that contextualizes the chapters in which the editors highlight transdisciplinary theories and approaches that cut across content areas. In addition, the editors include a table that provides a matrix of how strategies and theories map across the chapters. The four sections of the book represent the following content areas: English language arts, mathematics, science, and social studies. This book offers practical guidance that is grounded in relevant theory and research and offers teachers suggestions on how to use the approaches described.
Bulletin of the American Mathematical Society
Author: American Mathematical Society
Publisher:
Published: 1921
Total Pages: 530
ISBN-13:
DOWNLOAD EBOOKBulletin (new Series) of the American Mathematical Society
Author:
Publisher:
Published: 1914
Total Pages: 592
ISBN-13:
DOWNLOAD EBOOKEthnomathematics
Author: Arthur B. Powell
Publisher: SUNY Press
Published: 1997-01-01
Total Pages: 466
ISBN-13: 9780791433515
DOWNLOAD EBOOKPresents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.
A History of Geometrical Methods
Author: Julian Lowell Coolidge
Publisher: Courier Corporation
Published: 2013-02-27
Total Pages: 484
ISBN-13: 0486158535
DOWNLOAD EBOOKFull and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.
