History of mathematics Books
Birkhauser Verlag AG Correspondance de Leonhard Euler avec P.-L. M. de
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£151.29
Birkhauser Verlag AG Commentationes arithmeticae 3rd part
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£105.12
Birkhauser Verlag AG Commentationes arithmeticae 4th part
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£105.12
Birkhauser Verlag AG Commentationes algebraicae ad theoriam
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£89.99
Birkhauser Verlag AG Commentationes algebraicae ad theoriam
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£89.99
Birkhauser Verlag AG Institutiones calculi integralis 3rd part
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£89.99
Birkhauser Verlag AG Commentationes analyticae ad theoriam serierum
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£105.12
Birkhauser Verlag AG Commentationes analyticae ad theoriam serierum
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£105.12
Birkhauser Verlag AG Commentationes analyticae ad theoriam integralium
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£89.99
Birkhauser Verlag AG Commentationes analyticae ad theoriam integralium
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£89.99
Birkhauser Verlag AG Commentationes analyticae ad theoriam integralium
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£105.12
Birkhauser Verlag AG Commentationes analyticae ad theoriam integralium
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£89.99
Birkhauser Verlag AG Commentationes analyticae ad theoriam integralium
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£89.99
Birkhauser Verlag AG Commentationes analyticae ad theoriam aequationum
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£105.12
Birkhauser Verlag AG Methodus inveniendi lineas curvas maximi minimive
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£89.99
Birkhauser Verlag AG Commentationes geometricae 1st part
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£89.99
Birkhauser Verlag AG Theoria motus corporum solidorum seu rigidorum ex
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£129.99
Birkhauser Verlag AG Commentationes mechanicae ad theoriam motus
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£151.29
Birkhauser Verlag AG Mechanica corporum solidorum 2nd part
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£151.29
Birkhauser Verlag AG Commentationes mechanicae ad theoriam corporum
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£129.99
Birkhauser Verlag AG Commentationes mechanicae ad theoriam corporum
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£151.29
Birkhauser Verlag AG Commentationes mechanicae ad theoriam machinarum
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£151.29
Birkhauser Verlag AG Theoria motuum lunae nova methodo pertractata
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£218.59
Birkhauser Verlag AG Commentationes astronomicae ad praecessionem et
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£151.29
Birkhauser Verlag AG Commentationes astronomicae ad praecessionem et
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£129.99
Birkhauser Verlag AG Commentationes mechanicae et astronomicae ad
Book SynopsisThis volume concludes the second series of Leonhard Euler's Opera Omnia. It contains Euler's contributions to cosmic physics. Most substantial is the Essay on the Tide, which shared the prize awarded by the Paris Academy of Science in 1740. Other topics are the constitution of the atmosphere, ocean currents and winds, comets, the resistance of the aether, the lunar atmosphere, and the shape of the earth. The papers collected in this volume span a period from 1727 to 1775. They show Euler's lasting interest in questions of cosmic physics.
£129.99
Birkhauser Verlag AG Commentationes opticae 1
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£151.29
Birkhauser Verlag AG Commentationes astronomicae ad theoriam
Book SynopsisDer Band enthält einen Teil der Abhandlungen Eulers zur Störungstheorie. Er ist der zweite von drei diesem Thema gewidmeten Bänden. Gegenstand der Untersuchungen ist die Beschreibung der Bewegung eines Himmelskörpers um ein Zentralgestirn unter Berücksichtigung der von weiteren Himmelskörpern auf ihn wirkenden Gravitationskräfte. Als Beispiel sei die gravitative Wirkung der Venus auf die Erdbahn erwähnt.Von grosser praktischer Bedeutung, insbesondere für die Navigation auf See, war die Untersuchung des Einflusses der Sonne auf die Mondbewegung. Mit diesem Thema beschäftigte Euler sich zeit seines Lebens.Trade Review“... In den Band 2 dieses Werkes wurden Kommentare zu 18 Schriften Eulers sowie deutschsprachige Paraphrasierungen der lateinischen bzw. französischsprachigen Texte integriert. ... Wie in den neueren Bänden der Euler-Ausgabe üblich, wird auch in diesem Band ein sehr hohes Niveau hinsichtlich der Editionstechnik zugrunde gelegt. ... Die in der Series 2 der Opera Omnia noch fehlenden Abhandlungen Eulers zur Störungstheorie waren eine sehr empfindliche Lücke, die zu schließen mit dem vorliegenden Band XXVI begonnen wurde ...” (Karin Reich, in: Das Achtzehnte Jahrhundert, Jg. 44, Heft 2, 2020)Table of ContentsVorwort.- Editionstechnische Hinweise.- Kommentare zu den Abhandlungen.- Index.- Abhandlungen Eulers.- Abkürzungen.- In diesem Band zitierte Abhandlungen Eulers.- Bibliographie.- Index nominum.
£153.00
Birkhauser Verlag AG Commentationes astronomicae ad theoriam
Book SynopsisDer Band enthält einen Teil der Abhandlungen Eulers zur Störungstheorie. Er ist der letzte von drei diesem Thema gewidmeten Bänden. Gegenstand der Untersuchungen ist das Dreikörperproblem, das heisst die Beschreibung der Bewegung eines Himmelskörpers um ein Zentralgestirn unter Berücksichtigung der Störung durch einen weiteren Himmelskörper.Dieses Problem behandelt Euler in einigen der vorliegenden Abhandlungen nicht nur für Massenpunkte, sondern erstmals auch für ausgedehnte Himmelskörper. Die so verallgemeinerte Himmelsmechanik, die er als „mechanische Astronomie“ bezeichnete, prägte er massgebend. Dazu gehört unter anderem auch das Rotationsverhalten von Himmelskörpern unter dem Einfluss äusserer Gravitationskräfte, das er mit seinen berühmten Bewegungsgleichungen der Starrkörperrotation erfolgreich zu beschreiben vermochte.Table of ContentsVorwort.- Eulers Schriften zur Störungstheorie.- Editionstechnische Hinweise.- Kommentare zu den Abhandlungen.- Index.- Abhandlungen Eulers.- Abkürzungen.- In diesem Band zitierte Schriften Eulers.- Bibliographie.- Index nominum.
£199.99
Birkhauser Verlag AG Die Werke von Jakob Bernoulli: Bd. 2:
Book SynopsisCorrection to the text about C.S. Roero printed on the inside front cover page: Clara Silvia Roero began her research with Tullio Viola, full Professor of Analysis at Turin University. From 1987 to 2000 she was associate professor of Matematiche Complementari and of History of Mathematics at the University of Cagliari (1987-1990) and at the University of Turin (1990-2000). From 2000 she is full professor of History of Mathematics at Turin University, Faculty of Mathematical and Physical Sciences. She is currently President of the Italian Society of History of Mathematics (Società Italiana di Storia delle Matematiche). She is author of several articles and books on the history of mathematics from antiquity to 20th century, in particular on the history of the Leibnizian Calculus; and she is a member of the editorial board of the Bollettino di Storia delle Scienze Matematiche.
£116.99
Birkhauser Verlag AG Der Briefwechsel von Johann I Bernoulli: Band 3
Book Synopsis Introduction.- Analyse et mécanique. Quelques questions abordées dans la correspondance.- Synopsis.- Briefe Lettres.- Bibliographie.Table of Contents— Introduction.- Analyse et mécanique. Quelques questions abordées dans la correspondance.- Synopsis.- Briefe — Lettres.- Bibliographie.
£109.80
Birkhauser Verlag AG Die Werke von Daniel Bernoulli: Band 8:
Book SynopsisThis second volume on technology is mainly devoted to three prize-winning memoirs, answering questions related to ship-building which were proposed by the French Académie Royale des Sciences in the years 1737, 1755, and 1757. The volume hosts two further items: a popularizing text on astronomy from 1723, and the theory of the spiral pump, a technical item from 1772. In the introductory part of the volume every memoir is analysed and extensively summarized, so the reader should obtain a clear view of the content in modern terms.Table of ContentsGeneral Introduction.- Introductions to the contained original works.- Discours lû dans l'Assemblée.- Réfléxions sur la meilleure figure a donner aux Ancres....- Recherches sur la maniere la plus avantageuse....- Principes Hydrostatiques et Méchaniques....- Expositio theoretica singularis machinae hydraulicae tiguri Helvetiorum exstructae
£116.99
Birkhauser Verlag AG Leonhard Euler: Ein Mann, mit dem man rechnen
Book SynopsisIn seinem Kopf stellte er die mathematische Welt auf den Kopf. Er berechnete Flüssigkeitsströmungen, das Trägheitsmoment, entwickelte die Variationsrechnung und die moderne Zahlentheorie. Als Wissenschaftler steht er auf einer Stufe mit Newton und Einstein. Konstrukteure in aller Welt arbeiten tagtäglich mit seinen Formeln – egal ob es um den Schiffsrumpf der "Alinghi" geht oder um die Schwingungen des "Viaduc de Millau", der Welt höchster Autobahnbrücke. Dabei war er ein Mensch, der bürgerliche Behaglichkeit und Ruhe liebte. Nicht ganz einfach zur Gründungszeit von St. Petersburg inmitten russischer Kaisermorde oder im Berlin zur Zeit der schlesischen Kriege. Und erst recht nicht inmitten einer grossen Kinderschar. Der Comic von Elena Pini (Graphik) und Alice und Andreas K. Heyne (Text) zeichnet das Leben des genialen Baslers nach, der vor 300 Jahren geboren wurde, mit zwanzig Jahren seine Heimatstadt verliess – und nie wieder zurückkehrte.Trade ReviewWie ein Film läuft das Leben Leonhard Eulers vor uns ab, witzig, aber faktentreu, mit Schwenks über die Schauplätze Riehen, St. Petersburg, Berlin. Von trockenen Formeln bleiben wir verschont, dafür sorgt die Turbulente Zeitgeschichte umso mehr für eine packende Story. (ProgrammZeitung) Die Zeichnungen sind prägnant, die Texte skurril, das Gesamtwerk fesselnd und unterhaltsam - sofern man sich ein wenig für das Leben des Protagonisten interessiert. Wer diese Voraussetzung mitbringt, bekommt ein leicht verdauliches Stückchen Wissenschaftsgeschichte serviert, eine Mathematiker-Biografie durch die Hintertür sozusagen. (...) Leonhard Euler, dem kinderreichen Kindskopf mit dem glasklarem Verstand, setzt dieser gelungene Comic pünktlich zu seinem runden Geburtstag ein Denkmal, das nicht nur Mathematiker zum Schmunzeln bringen dürfte. (www.dradio.de) Ein besonderer Reiz des Comics liegt darin, dass er diesen Lebensweg in die politische Geschichte Europas einbettet. Am originellsten und witzigsten sind die bissigen und treffenden Porträts der Herrschenden, allen voran ein reichlich unsympathischer Friedrich der Große, der vorwiegend mit den Schlesischen Kriegen beschäftigt ist. (…) Daneben ist der Comic randvoll mit Anspielungen auf Eulers Werk und die zeitgenössischen wissenschaftlichen Debatten: Gleicht die Erdform eher einem Kürbis oder einer Zitrone? Hatte nun Newton oder Leibniz zuerst die Infinitesimalrechnung erfunden? (…) Das alles ist fast immer sorgfältig recherchiert, gut ausgewählt und erfreut die Insider, bleibt aber für weniger Eingeweihte vielleicht etwas unverständlich. (…) Insgesamt liegt ein durchaus gelungener und kurzweiliger Comic vor, der weniger wissenschaftliche Inhalte transportiert. dafür aber umso mehr über den Kontext verrät, in dem diese produziert werden. Man sollte ihn zugleich als Aufforderung verstehen, sich in der Wissenschaftsgeschichte öfter dieses unkonventionellen Mediums zu bedienen. (Spektrum der Wissenschaft)
£29.44
Birkhauser Verlag AG Leonhard Euler: A Man to Be Reckoned With
Book SynopsisHis ideas turned the mathematical world on its head. As a scientist he should be placed on the same level as Newton and Einstein. This account of Euler's life and livings is embedded in the great political developments of his time, particularly in Austria, Prussia and Russia. The comic by Elena Pini (illustrations) and Alice and Andreas K. Heyne (text) follows the life of the genius from Basel, who, born 300 years ago, would set out to change the scientific world. The book is completed by a short biography of Euler and relevant data of the most important politicians and contemporaries.Trade ReviewFrom the reviews:“This is the wittiest biography of Euler I have ever read. The two authors of the text and the artist are extremely well acquainted with all aspects of Euler’s life. … It is the ideal gift for a mathematician and all those who like mathematics and are able to smile about the amiable human weaknesses of a mathematician.” (Eberhard Knobloch, Zentralblatt MATH, Vol. 1179, 2010)“The authors and illustrator describe the most important moments from Euler’s live in Switzerland, Russia and Germany. They show his significant discoveries in fields as divers as analysis, algebra, geometry, topology, mechanics, optics, astronomy, geography etc. The book written like a modern comics is a remarkable and easily readable story and can be recommended to children, students and their teachers to attract their interest to mathematics and scientific research.” (Martina Bečvářová, Mathematica Bohemica, Issue 2, 2010)“This interesting and delightfully illustrated comic book describes and depicts the life of the mathematical genius, Leonhard Euler, in celebration of the 300th anniversary of his birthday. … The book is recommended for general, light reading, and is especially suitable for a school library … . for the scholar of the history of mathematics, or a mathematics student interested in some historical background, it will be a useful starting point.” (Michael de Villiers, The Mathematical Gazette, Vol. 94 (531), November, 2010)Table of ContentsLeonhard Euler - most important facts.- A Man to be Reckoned With.- Biography.- Politicians.- Contemporaries.
£17.33
Springer International Publishing AG Irrationality, Transcendence and the
Book SynopsisThis publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728–1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert’s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.Table of ContentsPart I: Antecedents.- Chapter 1. From Geometry to Analysis.- Chapter 2. The situation in the first half of the 18th century. Euler and continued fractions.- Part II: Johann Heinrich Lambert (1728—1777).- Chapter 3. A biographical approach to Johann Heinrich Lambert.- Chapter 4. Outline of Lambert's Mémoire (1761/1768).- Chapter 5. An anotated translation of Lambert's Mémoire (1761/1768).- Chapter 6. Outine of Lambert's Vorläufige Kenntnisse (1766/1770).- Chapter 6. An anotated translation of Lambert's Vorläufige Kenntnisse (1766/1770).- Part III: The influence of Lambert's work and the development of irrational numbers.- Chapter 8. The state of irrationals until the turn of the century.- Chapter 9. Title to be set up.
£104.49
Oxford University Press, USA From Artefacts to Atoms The Bipm and the Search for Ultimate Measurement Standards
Book SynopsisThe International Bureau of Weights and Measures (BIPM) is currently implementing the greatest change ever in the world''s system of weights and measures -- it is redefining the kilogram, the final artefact standard, and reorganizing the system of international units. This book tells the inside story of what led to these changes, from the events surrounding the founding of the BIPM in 1875 -- a landmark in the history of international cooperation -- to the present. It traces not only the evolution of the science, but also the story of the key individuals and events. The BIPM was the first international scientific laboratory. Founded in 1875 by the Metre Convention, its original tasks were to conserve the new international standards of the metre and the kilogram, to carry out calibrations for Member States and undertake research to advance measurement science. The book is based on the substantial archive of the BIPM which, from the very beginning, recounts the many discussions and arguments first as to whether and how such an institute should be created and in due course, how over the next one hundred and thirty years it should develop. Despite many national and personal rivalries, the institute actually created was admirably suited to its declared tasks. In the years and decades that followed, the scientific work of the small group of men who made up its first staff was of a very high order. One of the early Directors received the Nobel Prize for physics in 1920 for his discovery of invar. The international governing Board of the institute, the International Committee of Weights and Measures, has guided the institute from one charged with the conservation of the prototype artefacts to one now at the centre of world metrology and preparing for the redefinition of the last remaining artifact, the kilogram, in terms of a fixed value for one of the fundamental constants of physics, the Planck constantTable of ContentsIntroduction ; Chapter 1: The origins of the Metre Convention 1851 to 1869 ; Why? ; The need for international agreement on measurement standards ; The great Exhibition of 1851 in London ; The 1855 Paris Universal Exhibition and Statistical Congress ; The Universal Exhibition Paris 1867; a time of political tension in Europe ; The unit of length for geodesy and the original definition of the metre ; The International Conferences on Geodesy, Berlin 1864 and 1867 ; Reactions from France: the Bureau des Longitudes ; Academy of Science of Saint Petersburg ; Reaction from the Academie des Sciences ; Chapter 2: The creation of the International Metre Commission 1869 ; Creation of the Metre Commission ; The members of the French Section of the Metre Commission ; The first meetings of the French Section ; What should be the origin of the new international metre? ; The first meeting of the Metre Commission, August 1870 ; Chapter 3: The International Metre Commission, meetings of 1872/73 ; The order of things from 1869 to 1875 ; The Committee for Preparatory Research April 1872 ; The International Metre Commission September October 1872 ; Chapter 4: The casting of 1874 and the first steps in the fabrication of the new metric standards ; Great Britain decides not to join ; The problem of melting and casting platinum ; Preparations for the Conservatoire casting ; The casting of 250 kilograms of platinum-iridium on 13 May 1874: the alloy of the Conservatoire ; Approval of the Permanent Committee ; First indications that the alloy of the Conservatoire was contaminated with iron and ruthenium ; To proceed regardless ; Chapter 5: The Diplomatic Conference of the Metre 1875 ; The first sessions of the Conference ; The Special Commission ; First drafts of the Convention ; Attempts at a compromise proposal ; The opinion of the French Government ; The first vote on the proposals ; The 12 and 15 April sessions of the Diplomatic Conference ; The signing of the Metre Convention on 20 May 1875 ; Chapter 6: The creation of the BIPM and the beginning of the construction of the new metric prototypes; problems with the French Section ; The first meeting of the International Committee for Weights and Measures ; The founding members of the International Committee ; Choosing the site for the International Bureau, the Pavillon de Breteuil ; Decisions on the main instruments for the new institute ; Progress between April 1875 and April 1876; design for laboratory building ; Difficult relations between the International Committee and the French Section ; First meeting of the International Committee at the Pavillon de Breteuil; the Committee refuses the 1874 alloy ; A new railway line and improved relations with the French Section ; Chapter 7: 1879 to 1889, the first decade of scientific work at the International Bureau ; Progress with metres and instruments ; Publications, official and scientific and the library ; Elections to the International Committee ; Construction of the new prototypes, the metres ; Construction of the new prototypes, the kilograms ; More on the metres ; Good relations with the French Section ; The measurement of temperature, the 1887 hydrogen scale ; A first unsuccessful step towards electrical standards at the BIPM ; Chapter 8: New Member States and the first General Conference on Weights and Measures, 1889 ; New States join including Great Britain ; Time to call a General Conference? ; Final acts of the French Section ; The first General Conference on Weights and Measures September 1889 ; The formal adoption of the new metric prototypes ; The distribution of national prototypes ; In the end, who was right about the alloy of the Conservatoire? ; Chapter 9: The development of the scientific work at the BIPM, the General Conferences of 1895 and 1901 ; More new scientific work ; Thermometry ; The density of water ; The length of the metre in terms of the wavelength of light ; Calibrations ; Staff health problems and building repairs ; Members of the International Committee ; The toise and the Imperial Standard Yard ; The second General Conference and the BIPM pension scheme and reserve fund ; The third General Conference: the BIPM too small and fragile? ; Chapter 10: The creation of the Grands Laboratoires ; Physikalisch-Technische Reichsanstalt (PTR) ; National Physical Laboratory (NPL) ; The National Bureau of Standards (NBS) ; A French national standards laboratory? ; Chapter 11: The story of invar and the extension of the role of the International Bureau at the 6th General Conference 1921 ; The origins of the discovery of invar ; Thermal and mechanical properties of invar ; Samuel Stratton and Sir David Gill and proposals for changing the Convention ; Scientific staff of the Bureau ; The fifth General Conference and proposals for a new temperature scale ; Legal and practical metrology ; The International Bureau 1914 to 1918 ; The meeting of the International Committee in 1920 and the resignation of Foerster ; Plans to broaden the range of the Bureau's work ; The opening of the sixth General Conference 27 September 1921 ; Objections to the new role for the International Bureau ; Final conclusions of the Conference: a new Convention and broader role for the International Bureau ; Chapter 12: The 7th and 8th General Conferences 1927 and 1933, practical metrology and the Bureau during the Second World War ; The financial situation of the Bureau in the 1920s ; Results of the first verification of national prototypes of the metre presented to 7th General Conference ; What should be the standard temperature for the definition of the metre and for industrial length metrology? ; Quartz reference standards for length and proposals for a new definition of the metre ; Agreement for work on electrical standards at the International Bureau and the creation of the Consultative Committee for Electricity ; The International Temperature Scale of 1927 ; The beginning of electrical work at the International Bureau ; The move to absolute electrical units ; A Consultative Committee for Photometry and the CIE, new definition of the standard of light ; The International Committee takes an important decision related to practical metrology ; Other activities of The International Committee and international Bureau in the 1930s ; The International Bureau during the Second World War ; Scientific work during the War ; Chapter 13: The SI, absolute electrical units, the International Committee and the creation of the ionizing radiation section. ; The call for an International System of Units at the 9th General Conference 1948 ; The substitution of absolute electrical units for the 1908 International Units ; Objections on the part of the PTR ; A date for implementation of the absolute system and interruption caused by the war ; The need to act quickly ; Final decisions of the International Committee ; Final discussions on practical metrology ; New science, new prospects for units ; The International Committee after the war ; The International Bureau and its staff after the war, the Accord de Siege ; The creation of the Ionizing Radiation Section at the Bureau ; Chapter 14: The adoption of the SI, revising the Metre Convention, new definitions of the metre and second at the 11th General Conference 1960 ; The International System of Units SI ; Preparations to revise the Metre Convention ; Discussions at the 11th General Conference ; The change in definition of the Metre: arguments for and against ; Which radiation to choose? ; The new definition of the metre and the International Bureau ; Financial matters and problems of the Cold War ; The definition of the second ; The International Committee decides ; Problems with the new definition of the second ; The second redefined again in 1967 ; The development of the scientific work of the International Bureau up to 1975 ; The influence on the Bureau of national standards laboratories ; The influence of the Consultative Committees ; Laser wavelength standards at the Bureau ; Staff development at the Bureau ; Calibrations: an evolving activity at the Bureau ; The new journal, Metrologia ; Chapter 15: The mole, the speed of light and more about the Metre Convention ; The mole and chemistry ; The first attempt to bring chemistry into the affairs of the Bureau ; The 13th CGPM and its refusal to adopt the dotation ; The Centenary of the Metre Convention in 1975 ; Redefinition of the metre in terms of the speed of light ; New proposals to modify the Metre Convention ; The Direction and supervision of the International Bureau from 1975 to 2003 ; The financial situation of the BIPM from 1975 to 2003 ; The Pavillon du Mail, some difficulties with building permission ; Chapter 16: New science at the BIPM and the Recognition of National measurement Standards ; The BIPM staff in the last quarter of the 20th century ; Developments in photometry and radiometry and a new definition of the candela ; International Atomic Time and Coordinated Universal Time ; Other new science at the Bureau ; The new quantum electrical standards ; The BIPM mechanical workshop ; Chemistry at last comes to the CIPM and BIPM ; Traceability in laboratory medicine ; The International Organization for Legal Metrology ; The CIPM Mutual Recognition Arrangement for National Measurement Standards - early discussions ; First moves towards an MRA ; Regional metrology organizations ; Other pressures on national laboratories and looking to the BIPM ; First meeting of Directors of national metrology institutes and first draft of an MRA ; Quality systems and key comparison reference values ; Final agreement reached ; Chapter 17: The redefinition of the kilogram and the move towards the New SI ; The kilogram from 1889 to the present day ; Advances in science that at last make absolute units possible ; The watt balance ; Determine the mass of an atom by x-ray crystal density of silicon ; Comparing the results from the watt balance and the silicon crystal density experiments ; How and when to proceed to an actual redefinition of the kilogram ; What does it mean to fix the numerical value of a fundamental constant and how do we use it to define a unit? ; The arguments against a new definition ; Redefining the ampere, kelvin and mole ; How to formulate the new definitions ; The CIPM proposes an absolute system of units based on the fundamental constants of physics ; Epilogue: The new SI and the future role of the BIPM ; Appendix English text of the Metre Convention ; Bibliography
£109.25
Taylor & Francis Ibn alHaythams Geometrical Methods and the Philosophy of Mathematics
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£39.99
Taylor & Francis Ltd Ibn alHaytham and Analytical Mathematics A History of Arabic Sciences and Mathematics Volume 2 Culture and Civilization in the Middle East
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£137.75
Taylor & Francis Ltd Mathematics and the Medieval Ancestry of Physics 481 Variorum Collected Studies
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£80.74
Taylor & Francis Ltd Introduction to Abstract Algebra Third Edition
Book SynopsisThe first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.Table of ContentsChapter One SETS AND LOGIC -- 1. Some very general remarks -- 2. Introductory remarks on sets -- 3. Statements and conditions; quantifiers -- 4. The implies sign () -- 5. Proof by contradiction -- 6. Subsets -- 7. Unions and intersections -- 8. Cartesian product of sets -- EXERCISES -- Chapter Two SOME PROPERTIES OF -- 9. Introduction -- 10. The well-ordering principle -- I I. The division algorithm -- 12. Highest common factors and Euclid’s algorithm -- 13. The fundamental theorem of arithmetic -- 14. Congruence modulo m (mE f4J) -- EXERCISES -- Chapter Three EQUIVALENCE RELATIONS AND EQUIVALENCE CLASSES -- 15. Relations in general -- 16. Equivalence relations -- 17. Equivalence classes -- 18. Congruence classes -- 19. Properties of l,, as an algebraic system -- EXERCISES -- Chapter Four MAPPINGS -- 20. Introduction -- 21. The image of a subset of the domain; surjcctions -- 22. Injections; bijections; inverse of a bijection -- 23. Restriction of a mapping -- 24. Composition of mappings -- 25. Some further results and examples on mappings -- EXERCISES -- Chapter Five SEMIGROUPS -- 26. Introduction -- 27. Binary operations -- 28. Associativity and commutativity -- 29. Semigroups: definition and examples -- 30. Powers of an element in a semigroup -- 31. Identity elements and inverses -- 32. Subsemigroups -- EXERCISES -- Chapter Six AN INTRODUCTION TO GROUPS -- 33. The definition of a group -- 34. Examples of groups -- 35. Elementary consequences of the group axioms -- 36. Subgroups -- 37. Some important general examples of subgroups -- 38. Period of an element -- 39. Cyclic groups -- EXERCISES -- Chapter Seven COSETS AND LAGRANGE’S THEOREM ON FINITE GROUPS -- 40. Introduction -- 41. Multiplication of subsets of a group -- 42. Another approach to cosets -- 43. Lagrange’s theorem -- 44. Some consequences of Lagrange’s theorem -- EXERCISES -- Chapter Eight HOMOMORPHISMS, NORMAL SUBGROUPS, AND QUOTIENT GROUPS -- 45. Introduction -- 46. Isomorphic groups -- 47. Homomorphisms and their elementary properties -- 48. Conjugacy -- 49. Normal subgroups -- 50. Quotient groups -- 51. The quotient group G/Z -- 52. The first isomorphism theorem -- EXERCISES -- Chapter Nine THE SYMMETRIC GROUP S -- 53. Introduction -- 54. Cycles -- 55. Products of disjoint cycles -- 56. Periods of elements of Sft -- 57. Conjugacy in S1 -- 58. Arrangement of the objects 1,2,...,n -- 59. The alternating character, and alternating groups -- 60. The simplicity of A5 -- EXERCISES -- Chapter Ten THE FUNDAMENTALS OF RING THEORY -- 61. Introduction -- 62. The definition of a ring and its elementary consequences -- 63. Special types of ring and ring elements -- 64. Subrings and subtIelds -- 65. Ring homomorphisms -- 66. Ideals -- 67. Principal ideals in a commutative ring with a one -- 68. Factor rings -- 69. Characteristic of an integral domain or field -- 70. The field of fractions of an integral domain -- EXERCISES -- Chapter Eleven POLYNOMIALS AND FIELDS -- 71. Introduction -- 72. Polynomial rings -- 73. Some properties of F[X], where F is a field -- 74 Generalities on factorization -- 75. Further properties of F[XJ, where F is a field -- 76. Some matters of notation -- 77. Minimal polynomials and the structure of F(c) -- 78. Some elementary properties of finite fields -- 79. Construction of fields by root adjunction -- 80. Degrees of field extensions -- 81. Epilogue -- EXERCISES -- BIBLIOGRAPHY -- APPENDIX TO EXERCISES -- INDEX.
£171.00
Cambridge University Press Statistical Visions in Time
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£42.74
Cambridge University Press Symbols Impossible Numbers and Geometric Entanglements
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£39.89
Cambridge University Press Astronomy Maths in Ancient China The Zhou Bi Suan Jing 1 Needham Research Institute Studies Series Number 1
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£47.49
Cambridge University Press Pappus of Alexandria and the Mathematics of Late Antiquity
Book SynopsisThis book is at once an analytical study of one of the most important mathematical texts of antiquity, the Mathematical Collection of the fourth-century AD mathematician Pappus of Alexandria, and also an examination of the work's wider cultural setting.Trade Review'[Cuomo] takes a refreshing approach to the history of mathematics.' Journal of Roman Studies'… Cuomo does an admirable job in hopefully tempting more students and scholars from different fields to tackle these themes and, even more importantly, to cooperate and cross the lines between disciplines.' De novis libris iudiciaTable of ContentsAcknowledgements; Introduction; 1. The outside world; 2. Bees and philosophers; 3. Inclined planes and architects; 4. Altars and strange curves; 5. The inside story; Bibliography; General index; Index locorum.
£38.94
Cambridge University Press The Transformation of Mathematics in the Early Mediterranean World
Book SynopsisThis book analyzes the historical transformation of early mathematics, from a Greek practice based on the localized solution to an Islamic practice based on the systematic approach. The transformation is accounted for in terms of changing social practices, thereby offering an alternate interpretation of the historical trajectory of mathematics.Trade Review"For the true mathematics historian, this is a fascinating exploration, perhaps different from one's previous ideas of this time period. Highly recommended." M.D. Sanford, Felician College"...engaging, provocative, and definitely worth reading and thinking about." MAA Reviews, Fernando Q. Gouvea"...recommended reading--for its thought-provoking ideas and lively writing--for those with a serious interest in the mathematics of ancient Greece and medieval Islam." - Mathematical Reviews, J.L. BerggrenTable of ContentsAcknowledgements; Introduction; 1. The problem in the world of Archimedes; 2. From Archimedes to Eutocius; 3. From Archimedes to Khayyam; Conclusion; References; Index.
£37.04
Cambridge University Press The Mathematical Papers of Isaac Newton Volume 3 The Mathematical Papers of Sir Isaac Newton
Book SynopsisThe main part of the third volume of Dr Whiteside's annotated and critical edition of all the known mathematical papers of Isaac Newton reproduces, from the original autograph, Newton's elaborate tract on infinite series and fluxions (the so-called Methodus Fluxionum), including a formerly unpublished appendix on geometrical fluxions. Ancillary documents include, in Part 1, papers on the integration of algebraic functions and, in Part 2, short texts dealing with geometry and simple harmonic motion in a cycloidal arc. Part 3 reproduces, from both manuscript versions of Newton's Lectiones Opticae and from his Waste Book, mathematical excerpts from his researches into light and the theory of lenses at this period. An appendix summarizes mathematical highlights in his contemporary correspondence.Table of ContentsPart I. Researches into Fluxions and Infinate Series: 1. Preliminary Scheme for a Treatsie on Fluxions; 2. The Tract '[De Methodis Serierum et Fluxionum]'; 3. The Quadrature of Curves Defined by Polynomials; Part II. Miscellaneous Researches: 1. The Second Book of Euclid's 'Elements' Reworked; 2. Research into the Elementary Geometry of Curved Surfaces; 3. Harmonic Motion in a Cyclodial Arc; Part III. Researches in Geometrical Optics: 1. Extracts from Newton's Lectures on Optics; 2. Miscellaneous Researches into Refraction at a Curved Interface
£41.79
Cambridge University Press The Mathematical Papers of Isaac Newton Volume 4 16741684 The Mathematical Papers of Sir Isaac Newton v 4
Book SynopsisThis volume reproduces the texts of a number of important, yet relatively minor papers, many written during a period of Newton's life (1677â84) which has been regarded as mathematically barren except for his Lucasian lectures on algebra (which appear in Volume V). Part 1 concerns itself with his growing mastery of interpolation by finite differences, culminating in his rule for divided differences. Part 2 deals with his contemporary advances in the pure and analytical geometry of curves. Part 3 contains the extant text of two intended treatises on fluxions and infinite series: the Geometria Curvilinea (c. 1680), and his Matheseos Universalis Specimina (1684). A general introduction summarizes the sparse details of Newton's personal life during the period, one â from 1677 onwards â of almost total isolation from his contemporaries. A concluding appendix surveys highlights in his mathematical correspondence during 1674â6 with Collins, Dary, John Smith and above all Leibniz.Table of ContentsPart I. Researches in Algebra, Number Theory and Trigonometry: 1. Approaches to a General Theory of Finite Differences; 2. Problems in Elementary Number Theory; 3. Codifications of Elementary Plane and Spherical Trigonometry; 4. Miscellaneous Notes on Annuities and Algebraic Factorization; Part II. Researches in Pure and Analytical Geometry: 1. Miscellaneous Problems in Elementary Geometry; 2. Researches into the Greek 'Solid Locus'; 3. Miscellaneous Topics in Analytical Geometry; Part III. The 'Geometria Curvilinea' and 'Matheseos Universalis Specimina': 1. The 'Geometry of Curved Lines'; 2. Specimens of a Universal System of Mathematics; Appendix.
£42.99
Cambridge University Press The Mathematical Papers of Isaac Newton Volume 5 1683 1684 The Mathematical Papers of Sir Isaac Newton
Book SynopsisThe fifth volume of this definitive edition centres around Newton's Lucasian lectures on algebra, purportedly delivered during 1673â83, and subsequently prepared for publication under the title Arithmetica Universalis many years later. Dr Whiteside first reproduces the text of the lectures deposited by Newton in the Cambridge University Library about 1684. In these much reworked, not quite finished, professional lectiones, Newton builds upon his earlier studies of the fundamentals of algebra and its application to the theory and construction of equations, developing new techniques for the factorizing of algebraic quantities and the delimitation of bounds to the number and location of roots, with a wealth of worked arithmetical, geometrical, mechanical and astronomical problems. An historical introduction traces what is known of the background to the parent manuscript and assesses the subsequent impact of the edition prepared by Whiston about 1705 and the revised version published by NeTable of ContentsPart I. The Deposited Lucasian Lectures on Algebra (Winter 1683–1684): Introduction; 1. Preliminary notes and drafts for the 'Arithmetica'; 2. The copy deposited in the Cambridge archives; Part II. The 'Arithmeticæ Universalis Liber Primus' (1684): Introduction; Index of Names
£41.79
