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Principles and Proofs

Principles and Proofs
Author: Richard D. McKirahan Jr.
Publisher: Princeton University Press
Total Pages: 355
Release: 2017-03-14
Genre: Philosophy
ISBN: 140088716X

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By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical material to interpret many important but difficult individual passages. A number of issues left obscure by the Aristotelian material are settled by reference to Euclid's geometrical practice in the Elements. To justify this use of Euclid, McKirahan makes a comparative analysis of fundamental features of Euclidian geometry with the corresponding elements of Aristotle's theory. Emerging from that discussion is a more precise and more complex picture of the relation between Aristotle's theory and Greek mathematics--a picture of mutual, rather than one-way, dependence. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Book of Proof

Book of Proof
Author: Richard H. Hammack
Publisher:
Total Pages: 314
Release: 2016-01-01
Genre: Mathematics
ISBN: 9780989472111

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.


Proofs from THE BOOK

Proofs from THE BOOK
Author: Martin Aigner
Publisher: Springer Science & Business Media
Total Pages: 194
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.


Principia Mathematica

Principia Mathematica
Author: Alfred North Whitehead
Publisher:
Total Pages: 688
Release: 1910
Genre: Logic, Symbolic and mathematical
ISBN:

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A Guide to Conclusive Proofs for the Principles of Belief

A Guide to Conclusive Proofs for the Principles of Belief
Author: ʻAbd al-Malik ibn ʻAbd Allāh Imām al-Ḥaramayn al-Juwaynī
Publisher: ISBS
Total Pages: 300
Release: 2000
Genre: Religion
ISBN: 9781859641538

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This is a translation of the work known as "al-Irshad" (The Guide), a classic text of Islamic theology. Its author, Iman al-Haramayn al-Juwayni, here sets out systematically what he considers the sure proofs for the principles of any discourse about God.


Discrete Mathematics

Discrete Mathematics
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
Total Pages: 238
Release: 2018-07-30
Genre:
ISBN: 9781724572639

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Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.


Three Proofs of Euclid I, 72

Three Proofs of Euclid I, 72
Author: John Walmsley
Publisher:
Total Pages: 4
Release: 1913
Genre: Geometry
ISBN:

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The Principles of Mathematics

The Principles of Mathematics
Author: Bertrand Russell
Publisher: W. W. Norton & Company
Total Pages: 580
Release: 1996
Genre: Mathematics
ISBN: 9780393314045

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Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.


Euclid's Elements

Euclid's Elements
Author: Euclid
Publisher:
Total Pages: 544
Release: 2002
Genre: Mathematics
ISBN:

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"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.