Philosophy Of Mathematics And Deductive Structure In Euclid S Elements
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Philosophy of Mathematics and Deductive Structure in Euclid's Elements by Ian Mueller Pdf
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Reader's Guide to the History of Science by Arne Hessenbruch Pdf
The Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.
The Tyranny of Public Discourse by David Hirsch,Dan Van Haften Pdf
“The ultimate teacher of fact-based, reasoned rhetoric . . . A nice dose of American history makes learning the groundbreaking technique fun.” —Nerida F. Ellerton and McKenzie A. Clements, authors on writings of Thomas Jefferson and Abraham Lincoln Are you satisfied with the current state of public discourse? The almost unanimous response from people across the nation is a loud and emphatic “No!” The reply is always the same regardless of politics. Today’s public discourse typically starts with a “conclusion” and goes downhill from there. If there are talking heads, argument begins instantly and typically runs in circles. This is a dangerous path for a society that depends upon civility and virtue to survive. The Tyranny of Public Discourse addresses what is one of the most important issues of our time. This book can teach anyone how to use logic and reason to create persuasive writing. A byproduct of this is the civility that will ensue with an elevated public discourse. The Tyranny of Public Discourse establishes the six elements of a proposition as a verbal form of the scientific method—something Abraham Lincoln knew and used routinely. His logic and reason are so well known that he is quoted today more than 150 years after his death. Learning the six elements and how to use them to discuss any topic at any time is not only fascinating, but fairly easy to understand and implement. This book sets it all out, step-by-step and color coded, from beginning to end. The Tyranny of Public Discourse, complete with 21 diagrams on how to structure your logic, is the book you have been waiting for. The time is short, and the hour is now.
An Introduction to Algebraic Structures by Joseph Landin Pdf
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).
Thermodynamics of Small Systems, Parts I & II by Terrell L. Hill Pdf
Authoritative summary introduces basics, explores environmental variables, examines binding on macromolecules and aggregation, and includes brief summaries of electric and magnetic fields, spherical drops and bubbles, and polydisperse systems. 1963 and 1964 editions.
Mathematics for Operations Research by W. H. Marlow Pdf
Practical and applications-oriented, this text explains effective procedures for performing mathematical tasks that arise in many fields, including operations research, engineering, systems sciences, statistics, and economics. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. 1978 edition.
This lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games, chance and choice, automatic thinking, and more.
A Bridge to Advanced Mathematics by Dennis Sentilles Pdf
This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
Mathematics and the Physical World by Morris Kline Pdf
"Kline is a first-class teacher and an able writer. . . . This is an enlarging and a brilliant book." ? Scientific American "Dr. Morris Kline has succeeded brilliantly in explaining the nature of much that is basic in math, and how it is used in science." ? San Francisco Chronicle Since the major branches of mathematics grew and expanded in conjunction with science, the most effective way to appreciate and understand mathematics is in terms of the study of nature. Unfortunately, the relationship of mathematics to the study of nature is neglected in dry, technique-oriented textbooks, and it has remained for Professor Morris Kline to describe the simultaneous growth of mathematics and the physical sciences in this remarkable book. In a manner that reflects both erudition and enthusiasm, the author provides a stimulating account of the development of basic mathematics from arithmetic, algebra, geometry, and trigonometry, to calculus, differential equations, and the non-Euclidean geometries. At the same time, Dr. Kline shows how mathematics is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, and other phenomena. Historical and biographical materials are also included, while mathematical notation has been kept to a minimum. This is an excellent presentation of mathematical ideas from the time of the Greeks to the modern era. It will be of great interest to the mathematically inclined high school and college student, as well as to any reader who wants to understand ? perhaps for the first time ? the true greatness of mathematical achievements.
Boundary Value Problems of Applied Mathematics by John L. Troutman,Maurino P. Bautista Pdf
This text is geared toward advanced undergraduates and graduate students in mathematics who have some familiarity with multidimensional calculus and ordinary differential equations. Includes a substantial number of answers to selected problems. 1994 edition.
Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.