Philosophy of mathematics Books

Geometry Of Position is a classic mathematics book written by Robert Hudson Graham in 1891. The book is focused on the study of geometry, particularly the geometry of position. It covers topics such as the theory of curves and surfaces, the principles of...

Essai sur l'histoire g�����n�����rale des math�����matiques V1 (1802) est un livre �����crit par Charles Bossut, un math�����maticien fran�����ais du XVIIIe si�����cle. Cet essai est consid�����r����� comme l'une des premi�����res tentatives de retracer...

""M�����moire sur la th�����orie des puissances : des fonctions angulaires et des facult�����s analytiques (1831)"" est un ouvrage �����crit par August Leopold Crelle. Il s'agit d'un essai sur la th�����orie des puissances, les fonctions angulaires et...

Le livre ""Le Pr�����sent et l'Avenir Coup d'Oeil sur la Th�����orie de Fourier (1848)"" de Krantz, Jean-Baptiste, est une �����tude compl�����te de la th�����orie math�����matique de Fourier. L'auteur examine les principes fondamentaux de la...

Das Buch ""Theoretisch-Praktische Rechenkunst"" von Christoph Friedrich Zeller wurde im Jahr 1791 ver������ffentlicht. Es handelt sich um ein Werk, das sich mit der Mathematik besch�����ftigt und sowohl theoretische als auch praktische Aspekte behandelt...

Sex Priora Euclidis Elementa est opus mathematicum quod continet sex libros, quibus Euclides geometriae fundamenta explicat. In his libris Euclides axiomata, definitiones et propositiones tradit, quibus demonstrat geometricas veritates. Haec veritates de...

Philosophiae Ac Mathematicae Totius Institutio est opus magnum auctore Gautruche, Pierre, editum anno MDCLXI. Hoc volumine comprehensae sunt omnes disciplinae philosophicae et mathematicae, quae in scholis academicis discuntur. In hoc libro, auctor...

An incredible season for algebraic geometry flourished in Italy between 1860, when Luigi Cremona was assigned the chair of Geometria Superiore in Bologna, and 1959, when Francesco Severi published the last volume of the treatise on...

This book offers a unique account on the life and works of Srinivasa Ramanujan-often hailed as the greatest "natural" mathematical genius. Sharing valuable insights into the many stages of Ramanujan's life, this book provides glimpses into his prolific...

This book is an important text of the Kerala school of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karaṇa texts are essentially computational manuals, and they often display a high level of...

The Annotated Gödel offers a guided tour of Kurt Gödel's 1931 article on incompleteness, which demonstrated unexpected limits to the power of many logical systems. Today we call these results Gödel's First and Second Incompleteness Theorems. The book...

En este libro cubriremos la historia de las matemáticas.Desde Euler a Newton, desde Galileo a Einstein, cubriremos todo lo relacionado con la historia que creó las matemáticas modernas.Descubriremos secretos y matemáticas...

Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the...

A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a...

Es gibt einen elementaren mathematischen Begriff, der seit 1880 kein zweites Mal erfunden wurde. Erst jetzt können wir sagen, was Karl Weierstraß, bekannt als Neubegründer der Analysis (früher: Differenzial- und Integralrechnung), unter Zahl verstand. Er...

1 Historical Overview.- Part I Algebraic Proofs of the CBHD Theorem.- 2 Background Algebra.- 3 The Main Proof of the CBHD Theorem.- 4 Some 'Short' Proofs of the CBHD Theorem.- 5 Convergence and Associativity for the CBHD Theorem.- 6 CBHD, PBW and the...

The Predecessors: Descartes, Newton and Leibniz.- Newton and Leibniz on Time, Space and Forces.- Newton and Leibniz on the Foundation of the Calculus.- Euler's Program for Mechanics.- The Foundation of the Calculus.- Euler's Early Relativistic Theory.-...

These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a...

Acknowledgments.- Introduction.- 1. This Edition.- 2. Arabic Text and Translation.- 3. Ibn al-Haytham's Method.- 4. Ibn al-Haytham's Optical Analysis.- Appendix. A tentative Dating of On the Shape of the Eclipse.- References.- Index Nominum.- Index Rerum...

This book deals with a topic that has been largely neglected by philosophers of science to date: the ability to refer and analyze in tandem. On the basis of a set of philosophical case studies involving both problems in number theory and issues...

While it is well known that the Delian problems are impossible to solve with a straightedge and compass - for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments - the discovery of the Italian...

This book uses Ludwig Wittgenstein's philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?' The book is...

This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new...

This book provides the only critical edition and English translation of Maḥmūd al-Jaghmīnī's al-Mulakhkhaṣ fī al-hayʾa al-basīṭa, the most widely circulated Arabic treatise on Ptolemaic astronomy ever written. Composed in the early 13th century,...

This monograph considers several well-known mathematical theorems and asks the question, "Why prove it again?" while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of...

This book presents, in his own words, the life of Hugo Steinhaus (1887-1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and...

From reviews: "Extremely readable... rare testimony of a period of the history of 20th century mathematics. Includes very interesting recollections on the author's participation in the formation of the Bourbaki Group, tells of...

Die allgemeine Relativitästheorie lässt sich nur mit Hilfe des Tensorkalküls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differentialkalküls kennen. Dessen Schöpfer war Gregorio Ricci, dem zusammen mit Sophus...

Louis Couturat (1868-1914) was an outstanding intellectual of the turn of the nineteenth to the twentieth century. He is known for his work in the philosophy of mathematics, for his critical and editorial work on Leibniz, for his attempt to popularise...

This book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed...

This book provides a philosophy of mathematics that resonates with critical mathematics education. It draws attention to the social complexities that characterise the period of Modernity including the extreme exploitation of manual workers and their...

This volume brings together twelve previously unpublished essays on the theme of Wittgenstein on practice and on the insight that careful attention to human or animal activity is essential for thinking about philosophical problems. While Wittgenstein's...

This book presents Gödel's incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. Results are stated in the form most relevant for use in the philosophy of mathematics. An appendix considers...

This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major...

This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the original language - mostly German -, including one yet unpublished. Moreover, also included is an article by Raman Parimala, discussing Kneser's work...

In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer...

This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism...

This book documents the process of transformation from natural philosophy, which was considered the most important of the sciences until the early modern era, into modern disciplines such as mathematics, physics, natural history, chemistry, medicine and...

Dernières pensées d'Henri Poincaré est une oeuvre posthume qui rassemble les réflexions finales d'un des plus grands mathématiciens et philosophes des sciences du début du XXe siècle. Publié en 1913, ce livre explore des thèmes variés allant de la...

A modern reproduction of perhaps the most important scientific text of all time-- Newton's original 1687 edition of "Philosophiae Naturalis Principia Mathematica." (Latin)

Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. His work is extensive, making many significant contributions to a number of key areas of research. Stephen retired from South Bank University in 2012,...

This book demonstrates how a radical version of physicalism ('No-Self Physicalism') can offer an internally coherent and comprehensive philosophical worldview. It first argues that a coherent physicalist should explicitly treat a cognitive subject merely...

This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I...