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Deductions From Euclid And How To Work Them
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Book Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Book Synopsis The Elements of Euclid, books i. to vi., with deductions, appendices and historical notes, by J.S. Mackay. [With] Key by : Euclides
Download or read book The Elements of Euclid, books i. to vi., with deductions, appendices and historical notes, by J.S. Mackay. [With] Key written by Euclides and published by . This book was released on 1884 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Moffatt's reprint and solutions of certificate questions, men and women by : Moffatt and Paige
Download or read book Moffatt's reprint and solutions of certificate questions, men and women written by Moffatt and Paige and published by . This book was released on 1887 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deduction, Computation, Experiment by : Rossella Lupacchini
Download or read book Deduction, Computation, Experiment written by Rossella Lupacchini and published by Springer Science & Business Media. This book was released on 2008-09-25 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is located in a cross-disciplinary ?eld bringing together mat- matics, logic, natural science and philosophy. Re?ection on the e?ectiveness of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G ̈ odel, Church and Turing, in di?erent ways, achieve a deep und- standing of the notion of e?ective calculability involved in the nature of proof. Turing’s work in particular provides a “precise and unquestionably adequate” de?nition of the general notion of a formal system in terms of a machine with a ?nite number of parts. On the other hand, Eugene Wigner refers to the - reasonable e?ectiveness of mathematics in the natural sciences as a miracle. Where should the boundary be traced between mathematical procedures and physical processes? What is the characteristic use of a proof as a com- tation, as opposed to its use as an experiment? What does natural science tell us about the e?ectiveness of proof? What is the role of mathematical proofs in the discovery and validation of empirical theories? The papers collected in this book are intended to search for some answers, to discuss conceptual and logical issues underlying such questions and, perhaps, to call attention to other relevant questions.
Book Synopsis Guide to the study of mathematics for the B.A. and B.Sc. examinations of the University of London by : Arthur Lee Sparkes
Download or read book Guide to the study of mathematics for the B.A. and B.Sc. examinations of the University of London written by Arthur Lee Sparkes and published by . This book was released on 1879 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The English language: its sources [&c., by T. Page]. by : Thomas Page (schoolmaster.)
Download or read book The English language: its sources [&c., by T. Page]. written by Thomas Page (schoolmaster.) and published by . This book was released on 1883 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Notes on school management by : George Collins (of the Borough road training coll.)
Download or read book Notes on school management written by George Collins (of the Borough road training coll.) and published by . This book was released on 1884 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's Elements of Geometry by : Euclides
Download or read book Euclid's Elements of Geometry written by Euclides and published by . This book was released on 1877 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's Elements of Geometry by : Robert Potts
Download or read book Euclid's Elements of Geometry written by Robert Potts and published by . This book was released on 1876 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Classified Catalogue of Educational Works in Use in the United Kingdom and Its Dependencies in 1887 ... by :
Download or read book A Classified Catalogue of Educational Works in Use in the United Kingdom and Its Dependencies in 1887 ... written by and published by . This book was released on 1887 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Moffatt's history readers by : Moffatt and Paige
Download or read book Moffatt's history readers written by Moffatt and Paige and published by . This book was released on 1883 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The National Schoolmaster written by and published by . This book was released on 1879 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and practical geometry for self-instruction by : Rolla Rouse
Download or read book Scientific and practical geometry for self-instruction written by Rolla Rouse and published by . This book was released on 1879 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The VNR Concise Encyclopedia of Mathematics by : W. Gellert
Download or read book The VNR Concise Encyclopedia of Mathematics written by W. Gellert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is commonplace that in our time science and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics, for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal. Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.
Book Synopsis The Big Book of Real Analysis by : Syafiq Johar
Download or read book The Big Book of Real Analysis written by Syafiq Johar and published by Springer Nature. This book was released on 2024-01-04 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics. It deals with the concepts of infinity and limits, which are the cornerstones in the development of calculus. Beginning with some basic proof techniques and the notions of sets and functions, the book rigorously constructs the real numbers and their related structures from the natural numbers. During this construction, the readers will encounter the notions of infinity, limits, real sequences, and real series. These concepts are then formalised and focused on as stand-alone objects. Finally, they are expanded to limits, sequences, and series of more general objects such as real-valued functions. Once the fundamental tools of the trade have been established, the readers are led into the classical study of calculus (continuity, differentiation, and Riemann integration) from first principles. The book concludes with an introduction to the study of measures and how one can construct the Lebesgue integral as an extension of the Riemann integral. This textbook is aimed at undergraduate students in mathematics. As its title suggests, it covers a large amount of material, which can be taught in around three semesters. Many remarks and examples help to motivate and provide intuition for the abstract theoretical concepts discussed. In addition, more than 600 exercises are included in the book, some of which will lead the readers to more advanced topics and could be suitable for independent study projects. Since the book is fully self-contained, it is also ideal for self-study.
Book Synopsis Sessional Papers - Legislature of the Province of Ontario by : Ontario. Legislative Assembly
Download or read book Sessional Papers - Legislature of the Province of Ontario written by Ontario. Legislative Assembly and published by . This book was released on 1878 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis First Steps in Geometry by : Richard Anthony Proctor
Download or read book First Steps in Geometry written by Richard Anthony Proctor and published by . This book was released on 1887 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: