History of mathematics Books
Princeton University Press The Mathematics of Various Entertaining Subjects
Book SynopsisCopyright 2017 by Princeton University Press.Trade Review"[This book] is beautiful in that just about every problem could be explained to anybody with almost no mathematics background at all, but the methods of solving them take you deeply into many complex areas of mathematics. The books gathers together problems which pop up through what one might consider 'silly' or 'frivolous' questions, but which lead to new ways of thinking and have applications in enormously wide-ranging areas of mathematics."---Jonathan Shock, Mathemafrica"The editors once again have brought together an extraordinary list of authors to produce nineteen engaging papers, split into five groups: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. . . . It is often deeply challenging mathematically and, as a result, all the more fun. Each reader will find chapters that appeal to them." * MAA Reviews *"In the second volume of this engaging series, Beineke . . . and Rosenhouse . . . deliver another fantastic collection of essays dealing with popular mathematics. . . . Anyone who enjoys reading about recreational mathematics will find plenty to enjoy and discover in this second volume." * Choice *
£40.50
Princeton University Press Symmetry
Book SynopsisTrade Review"This short book on a vast subject is the work of a master. With a few sure and authoritative words [Weyl] gives us the heart of the matter. There is no book ... quite like this one on the subject of symmetry and I doubt if any book will be written in the future that will not in some way lean upon this one... [I]t contains so much besides mathematics that it can still be read with profit and enjoyed by someone who has not advanced beyond long division."--John Tyler Bonner, Science "Dr. Weyl presents a masterful and fascinating survey of the applications of the principle of symmetry in sculpture, painting, architecture, ornament, and design; its manifestations in organic and inorganic nature; and its philosophical and mathematical significance."--Scientific American "Weyl offers deep insight into [the concept of symmetry], its foundations in group theory, its applications in physics, chemistry, and biology, and its role in art."--Manfred Eigen and Ruthild Winkler in Laws of the Game "Vivid and picturesque... [Weyl is] an outstanding thinker."--Wolfgang Yourgrau, Philosophy and Phenomenological ResearchTable of ContentsBilateral symmetry 3 Translatory, rotational, and related symmetries 41 Ornamental Symmetry 83 Crystals. The General mathmatical idea of symmetry 119 Appendices A. Determination of all finite groups of proper rotations in 3-space 149 B. Inclusion of improper rotations 155 Acknowledgements 157 Index 161
£14.24
Princeton University Press The Golden Ticket
Book SynopsisTrade ReviewOne of Amazon.com's 2013 Best Science Books One of Choice's Outstanding Academic Titles for 2013 Honorable Mention for the 2013 PROSE Award in Popular Science & Mathematics, Association of American Publishers "As Fortnow describes... P versus NP is 'one of the great open problems in all of mathematics' not only because it is extremely difficult to solve but because it has such obvious practical applications. It is the dream of total ease, of the confidence that there is an efficient way to calculate nearly everything, 'from cures to deadly diseases to the nature of the universe,' even 'an algorithmic process to recognize greatness.'... To postulate that P ? NP, as Fortnow does, is to allow for a world of mystery, difficulty, and frustration--but also of discovery and inquiry, of pleasures pleasingly delayed."--Alexander Nazaryan, New Yorker "Fortnow effectively initiates readers into the seductive mystery and importance of P and NP problems."--Publishers Weekly "Fortnow's book is just the ticket for bringing one of the major theoretical problems of our time to the level of the average citizen--and yes, that includes elected officials."--Veit Elser, Science "Without bringing formulas or computer code into the narrative, Fortnow sketches the history of this class of questions, convincingly demonstrates their surprising equivalence, and reveals some of the most far-reaching implications that a proof of P = NP would bring about. These might include tremendous advances in biotechnology (for instance, more cures for cancer), information technology, and even the arts. Verdict: Through story and analogy, this relatively slim volume manages to provide a thorough, accessible explanation of a deep mathematical question and its myriad consequences. An engaging, informative read for a broad audience."--J.J.S. Boyce, Library Journal "A provocative reminder of the real-world consequences of a theoretical enigma."--Booklist "The definition of this problem is tricky and technical, but in The Golden Ticket, Lance Fortnow cleverly sidesteps the issue with a boiled-down version. P is the collection of problems we can solve quickly, NP is the collection of problems we would like to solve. If P = NP, computers can answer all the questions we pose and our world is changed forever. It is an oversimplification, but Fortnow, a computer scientist at Georgia Institute of Technology, Atlanta, knows his stuff and aptly illustrates why NP problems are so important."--Jacob Aron, New Scientist "Fortnow's book does a fine job of showing why the tantalizing question is an important one, with implications far beyond just computer science."--Rob Hardy, Commercial Dispatch "A great book... [Lance Fortnow] has written precisely the book about P vs. NP that the interested layperson or IT professional wants and needs."--Scott Aaronson, Shtetl-Optimized blog "[The Golden Ticket] is a book on a technical subject aimed at a general audience... Lance's mix of technical accuracy with evocative story telling works."--Michael Trick, Michael Trick's Operations Research Blog "Thoroughly researched and reviewed. Anyone from a smart high school student to a computer scientist is sure to get a lot of this book. The presentation is beautiful. There are few formulas but lots of facts."--Daniel Lemire's Blog "An entertaining discussion of the P versus NP problem."--Andrew Binstock, Dr. Dobb's "The Golden Ticketis an extremely accessible and enjoyable treatment of the most important question of theoretical computer science, namely whether P is equal to NP."--Choice "The book is accessible and useful for practically anyone from smart high school students to specialists... [P]erhaps the interest sparked by this book will be the 'Golden Ticket' for further accessible work in this area. And perhaps P=NP will start to become as famous as E=mc2."--Michael Trick, INFORMS Journal of Computing "In any case, it is excellent to have a nontechnical book about the P versus NP question. The Golden Ticket offers an inspiring introduction for nontechnical readers to what is surely the most important open problem in computer science."--Leslie Ann Goldberg, LMS Newsletter "The Golden Ticket does a good job of explaining a complex concept in terms that a secondary-school student will understand--a hard problem in its own right, even if not quite NP."--Physics World "[The Golden Ticket] is fun to read and can be fully appreciated without any knowledge in (theoretical) computer science. Fortnow's efforts to make the difficult material accessible to non-experts should be commended."--Andreas Maletti, Zentralblatt MATH "This is a fabulous book for both educators and students at the secondary school level and above. It does not require any particular mathematical knowledge but, rather, the ability to think. Enjoy the world of abstract ideas as you experience an intriguing journey through mathematical thinking."--Gail Kaplan, Mathematics Teacher "Fortnow's book provides much of the background and personal information on the main characters involved in this problem--notably Steven Cook, with a cameo appearance by Kurt Godel--that one does not get in the more technical treatments. There is a lot of information in this book, and the serious computer science student is sure to learn from it."--James M. Cargal, UMAP JournalTable of ContentsPreface ix Chapter 1 The Golden Ticket 1 Chapter 2 The Beautiful World 11 Chapter 3 P and NP 29 Chapter 4 The Hardest Problems in NP 51 Chapter 5 The Prehistory of P versus NP 71 Chapter 6 Dealing with Hardness 89 Chapter 7 Proving P <> NP 109 Chapter 8 Secrets 123 Chapter 9 Quantum 143 Chapter 10 The Future 155 Acknowledgments 163 Chapter Notes and Sources 165 Index 171
£16.14
Princeton University Press Calculus Reordered
Book SynopsisTrade Review"In an orderly sense, the writer introduces the context and then proceeds to state exactly what was the major draw back in the context during the relevant period of time. . . The progression, as well as the way in which he uses simple techniques to demolish towers of problems in the same sense as it was done back in the day is certainly worth appreciation." * Mathemafrica *"Any lover of mathematics will appreciate the time spent among these pages."---A. Misseldine, Choice"A great companion for students studying analysis, and calculus instructors will find it an enriching experience." * Mathematics Magazine *"I thoroughly enjoyed reading this accessible, insightful and well-written book."---Nick Lord, Mathematical Gazette
£31.50
Princeton University Press The Mathematics of Various Entertaining Subjects
Book SynopsisThis volume brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics.Trade Review"This is a fantastic (and entertaining) book on various aspects of recreational mathematics which are also at the forefront of research level mathematics."---Manjil Pratim Saikia, Zentralblatt MATH
£40.50
Princeton University Press Graph Theory in America
Book SynopsisTrade Review"[A] very informative and very readable book."---Adhemar Bultheel, MAA Reviews"Recommended."---J.W. Dauben, Choice"The thing about this book is that it delivers. . . .Throughout, Graph Theory in America celebrates the work of scholars, capturing the spirit of their main contribution to the subject, sometimes during challenging historical times."---Aida Abiad Monge, Nieuw Archief voor Wiskunde
£27.00
Princeton University Press Trigonometric Delights
Book Synopsis
£14.24
Princeton University Press The Proof Stage
Book SynopsisTrade Review"A Choice Outstanding Academic Title of the Year""Abbott proves a companionable guide to the coincident developments in mathematics and theater, breaking down in layman’s terms such concepts as non-Euclidian geometry and explaining just how they relate to Stoppard, Beckett, Brecht, Jarry, and other avant-garde playwrights."---Robert Erickson, The New Criterion"[Abbott] masterfully interweaves mathematical ideas and theatrical works. . . . A wonderful gem for anyone interested in mathematics or theater—or both. Encore!"---J. Johnson, Choice"Extraordinary."---Paul J. Campbell, Mathematics Magazine
£27.00
Princeton University Press Tales of Impossibility
Book SynopsisTrade Review"I greatly enjoyed Richeson's Tales of Impossibility. It deserves to become a classic and can be highly recommended."---Robin Wilson, Times Higher Education"Even if you never read a single proof through to its conclusion, you’ll enjoy the many entertaining side trips into a geometry far beyond what you learned in high school."---Jim Stein, New Books in Mathematics"The whole book, both informative and amusing, is a highly recommended read."---Adhemar Bulteel, European Mathematical Society"This book was a pleasure to read and I would recommend it for anybody who wants a lovely overview of many areas of the history of mathematics, with a focus on some very easy to understand problems."---Jonathan Shock, Mathemafrica"Richeson clearly explains what it means to be impossible to solve a problem, cites other impossibility results, goes into detail about geometric constructions with various instruments, and discusses the defective proofs and the cranks that have turned up along the way." * Mathematics Magazine *"This fascinating text will appeal to all those interested in the history of mathematics, not leasy because of its helpful notes on each chapter and its two dozen pages of references for further reading"---Laurence E. Nicholas CMath FIMA, Mathematics Today"A fact-filled, insightful, panoramic view of how mathematics developed to what it is today transformed by folks thinking both inside and outside of G so as to resolve the impossible."---Andrew J. Simoson, Mathematical Intelligencer
£17.09
Princeton University Press Classical Probability in the Enlightenment New
Book Synopsis
£27.00
Princeton University Press Taddeo Alderotti and His Pupils Two Generations
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£67.50
LUP - Voltaire Foundation Emilie Du Ch226telet Rewriting Enlightenment
Book SynopsisIt is a measure of the breadth of her interests that the contributions to this volume come from experts in a wide range of disciplines: comparative literature, art history, the history of mathematics and science, philosophy, the history of publishing and translation studies.Trade Review'All the papers offer new insights on their subject [...] The value of this collection is that it provides the first overview of Du Châtelet’s œuvre as a whole, which will be a point of reference for future scholarship.'Eighteenth-Century FictionTable of ContentsList of illustrationsIntroduction: a scholarly conversation, 1967-2006Judith P. Zinsser and Julie Candler Hayes, Rereading W. H. BarberW. H. Barber, Mme Du Châtelet and Leibnizianism: the genesis of the Institutions de physiqueJudith P. Zinsser and Julie Candler Hayes, The marquise as philosopheI. Contemporary portraitsJohn R. Iverson, A female member of the Republic of Letters: Du Châtelet’s portrait in Bilder-Sal [...] berümhter SchrifftstellerMarie-Thérèse Inguenaud, La Grosse et le Monstre: histoire d’une haineRémy G. Saisselin, Portraiture and the ambiguity of beingII. Contributions to the Republic of LettersJ. Patrick Lee, Le Recueil de poésies: manuscrit de Mme Du ChâteletAdrienne Mason, 'L’air du climat et le goût du terroir’: translation as cultural capital in the writings of Mme Du ChâteletBertram Eugene Schwarzbach, Mme Du Châtelet’s Examens de la Bible and Voltaire’s La Bible enfin expliquéeFrançois Gauvin, Le cabinet de physique du château de Cirey et la philosophie naturelle de Mme Du Châtelet et de VoltairePaul Veatch Moriarty, The principle of sufficient reason in Du Châtelet’s InstitutionsAntoinette Emch-Dériaz and Gérard G. Emch, On Newton’s French translator: how faithful was Mme Du Châtelet?III. Self-portraitureBarbara Whitehead, The singularity of Mme Du Châtelet: an analysis of the Discours sur le bonheurRenaud Redien-Collot, Emilie Du Châtelet et les femmes: entre l’attitude prométhéenne et la pleine assomption du statut de minoritaireNanette LeCoat, 'Le génie de la sécheresse’: Mme Du Châtelet in the eyes of her Second Empire criticsSummariesBibliographyIndex
£98.30
Cornell University Press Giordano Bruno and Renaissance Science
Book SynopsisThe Renaissance philosopher Giordano Bruno was a notable supporter of the new science that arose during his lifetime; his role in its development has been debated ever since the early seventeenth century. Hilary Gatti here reevaluates Bruno's...Trade Review... Hilary Gatti has turned the spotlight back on Bruno, Bruno as a scientific thinker, Bruno as a man whose merits are to be judged by the 'new sicience' and its methods as they were recognized at the end of the sixteenth century and as they were aopted and adapted in the decades that follow....For all who wish to draw closer to an understanding of Bruno's thought processes, this book is essential reading. -- J.D. North * Speculum: A Journal of Medieval Studies *
£23.19
Johns Hopkins University Press Routes of Learning
Book SynopsisAll historians of mathematics and students of the field will want a copy of this remarkable resource on their bookshelves.Trade ReviewHere, Grattan-Guinness, one of the world's leading mathematics historians, has written the seminal how-to-book for the history of mathematics... This reviewer found the book hard to put down. Choice 2010 In spite of the great variation in themes, the book is quite coherent and gives anyone dealing with the history of mathematics food for thought. -- Teun Koetsier History and Philosophy of Logic 2010Table of ContentsPreface1. Searching for Reasons: My Way In and OnwardPart I: Highways in the History of Mathematics2. The Mathematics of the Past: Distinguishing Its History from Our Heritage3. Decline, Then Recovery: An Overview of Activity in the History of Mathematics during the Twentieth Century4. On Certain Somewhat Neglected Features of the History of Mathematics5. General Histories of Mathematics? Of Use? To Whom?6. Too Mathematical for Historians, Too Historicalfor Mathematicians7. History of Science Journals: "To Be Useful, and to the Living"?8. Scientific Revolutions as Convolutions? A Skeptical InquiryPart 2: Pathways in Mathematics Education9. On the Relevance of the History of Mathematics to Mathematical Education10. Achilles Is Still Running11. Numbers, Magnitudes, Ratios, and Proportions in Euclid's Elements: How Did He Handle Them?12. Some Neglected Niches in the Understanding and Teaching of Numbers and Number Systems13. What Was and What Should Be the Calculus?Part 3: Byways in Mathematics and its Culture14. Manifestations of Mathematics in and around the Christianities: Some Examples and Issues15. Christianity and Mathematics: Kinds of Links, and the Rare Occurrences after 175016. Mozart 18, Beethoven 32: Hidden Shadows of Integers in Classical Music17. Lagrange and Mozart as Critics of DescartesPart 4: Lollipops18. Four Pretty but Little-Known Theorems Involving the TriangleIndex
£64.80
University of Pittsburgh Press Symbols and Things
a huge range and FREE tracked UK delivery on ALL orders.
£52.14
University of Pittsburgh Press Cult of Pythagoras The
a huge range and FREE tracked UK delivery on ALL orders.
£32.78
Johns Hopkins University Press Mathematics in TwentiethCentury Literature and
Book SynopsisAn insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, Mathematics in Twentieth-Century Literature and Art will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.Trade ReviewFor those viewing mathematics and the creative arts as distinctly separate endeavors, Tubbs provides an insightful treatise that proves otherwise... Though the content of Tubbs's book is challenging, it is also accessible and should interest many on both sides of the perceived divide between mathematics and the arts. Choice A fascinating journey through the works of modern art and literature... This book can be seen as a guide to understanding the various movements that emerged within artistic circles in the 20th century. Tubbs does an excellent job of leading the reader through this world of ideas, gently guiding the non-mathematicians through the panorama of advanced mathematics, and mathematicians and those who are artistically naive to an appreciate of the world of modern art and literature... The book serves as a compass to guide the reader to a better understanding of modern art. -- Jay Kapraff LMS Newsletter A beautiful narration... Every chapter is well balanced between the mathematical side and the art side. -- Riccardo Moschetti Zentralblatt Math Books like Mathematics in Twentieth-Century Literature and Art help us get rid of prejudices, and indeed open our eyes to see. -- Capi Corrales-Rodriganez Mathematical Reviews Tubbs's exposition proves so clear and thorough that the mathematical novice reading Mathematics in Twentieth-Century Literature and Art receives an introductory course in the fundamentals of higher mathematics... Reluctant mathematicians will be delighted to discover that Tubbs's mathematical explanations afford new analyses of canonical artworks. Make Literary MagazineTable of ContentsPrefaceChronology1. Surrealist Writing, Mathematical Surfaces, and New GeometriesMathematical Imagery and ImagesMan Ray and Mathematical SurfacesGeometries, Flat and Curved2. Objects, Axioms, and ConstraintsBlack Squares and AxiomsGeometry without Objects / Literature without Words3. Abstraction in Art, Literature, and MathematicsThe White PaintingsAbstract NumbersStructure4. Literature, the Möbius Strip, and Infinite NumbersConcrete ArtThe Möbius Strip and LiteratureConcrete Mathematics and Infinite Numbers5. Klein Forms and the Fourth DimensionIn the LabyrinthSurfaces, Mysticism, and the Fourth Dimension6. Paths, Graphs, and TextsLiterature and ChoiceMathematical Graph TheoryA Play Based on a Graph7. Poetry, Permutations, and Zeckendorf's TheoremStructured and Programmed PoemsConcrete Poetry and Mathematical Images8. Numbers and MeaningTargets, Numbers, and EquationsNumbers: Imagined and ImaginaryRandomness, Arbitrariness, and Perfect NumbersDada PoetryDisorder and ArtArbitrariness10. The ArtworldNotesBibliographyIndex
£23.85
Johns Hopkins University Press An Equation for Every Occasion
Book SynopsisSmartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.Trade ReviewThe wide ranging essays touch on history, art, architecture, biology, astrophysics, geology, economics, engineering, and many aspects of everyday life. They are supplemented with helpful graphics and written in a lively and clear style appropriate for non-specialist readers, including high school students. Mathematical Reviews An intriguing, thought provoking and humorous book... Highly entertaining treatises for nature lovers as well as science, mathematics and art enthusiasts. London Mathematical Society Newsletter Henshaw's stories about each formula are interesting, humorous, and oftentimes surprising. The range of formulas in [ An Equation for Every Occasion] is appealing, no matter where one's interests lie... This book is a must for teachers who teach formulas. This book provides both interesting stories and historial context to pass on to students Mathematical Association of America From the links between music and math and the importance of the concept of friction to either the success or failure of athletes to estimating the size of a crowd by understanding principles of density, these applications are not only lively discussions of daily living, but require no prior math knowledge from their readers, making An Equation for Every Occasion a recommended pick for lay audiences interested in math's intersections with real-world concerns. Donovan's Literary Services Recommended. All readers. ChoiceTable of ContentsPreface1. As the Earth Draws the Apple2. And All the Children Are Above Average3. The Lady with the Mystic Smile4. The Heart Has Its Reasons5. AC/DC6. The Doppler Effect7. Do I Look Fat in These Jeans?8. Zeros and Ones9. Tsunami10. When the Chips Are Down11. A Stretch of the Imagination12. Woodstock Nation13. What Is (Pi)?14. No Sweat15. Road Range16. The Bends17. It's Not the Heat, It's the Humidity18. The World's Most Beautiful Equation19. Breaking the Law20. The Mars Curse21. Eureka!22. A Penny Saved . . .23. If I Only Had a Brain24. Because It Was There25. Four Eyes26. Bee Sting27. Here Comes the Sun28. A Leg to Stand On29. Love Is a Roller Coaster30. Loss Factor31. A Slippery Slope32. Transformers33. A House of Cards34. Let There Be Light35. Smarty Pants36. As Old as the Hills37. Can You Hear Me Now?38. Decay Heat39. Zero, One, Infinity40. Terminal Velocity41. Water, Water, Everywhere42. Dog Days43. Body Heat44. Red Hot45. A Bolt from the Blue46. Like Oil and Water47. Fish Story48. Making Waves49. A Drop in the Bucket50. Fracking Unbelievable51. Take Two Aspirins and Call Me in the Morning52. The World's Most Famous EquationBibliographyIndex
£22.50
Springer-Verlag New York Inc. Mathematics and Its History
Book SynopsisThe Theorem of Pythagoras.- Greek Geometry.- Greek Number Theory.- Infinity in Greek Mathematics.- Number Theory in Asia.- Polynomial Equations.- Analytic Geometry.- Projective Geometry.- Calculus.- Infinite Series.- The Number Theory Revival.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Non-Euclidean Geometry.- Group Theory.- Hypercomplex Numbers.- Algebraic Number Theory.- Topology.- Simple Groups.- Sets, Logic, and Computation.- Combinatorics.Trade Review“Mathematics and Its History is an original, engaging and effective book, which I think would be enjoyed by students, lay readers with the right background, or indeed mathematicians themselves.” (Danny Yee, Danny Yee's Book Reviews, dannyreviews.com, March, 2019)From the reviews of the third edition:"The author’s goal for Mathematics and its History is to provide a “bird’s-eye view of undergraduate mathematics.” (p. vii) In that regard it succeeds admirably. ... Mathematics and its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. ... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics. ... While Stillwell does a wonderful job of tying together seemingly unrelated areas of mathematics, it is possible to read each chapter independently. I would recommend this fine book for anyone who has an interest in the history of mathematics. For those who teach mathematics, it provides lots of information which could easily be used to enrich an opening lecture in most any undergraduate course. It would be an ideal gift for a department’s outstanding major or for the math club president. Pick it up at your peril — it is hard to put down!"(Richard Wilders, MAA Reviews)“I appreciate and recommend Stillwell’s presentation of mathematics and history written in a lively style. The author’s concept (history mostly as the means of approaching mathematics) remains a matter of interest for both the mathematician and the historian … .” (Rüdiger Thiele, Zentralblatt MATH, Vol. 1207, 2011)From the reviews of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here."(David Parrott, Australian Mathematical Society)"The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." (European Mathematical Society)"Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact."(Denis Bonheure, Bulletin of the Belgian Society)Table of ContentsPreface to the Third Edition.- Preface to the Second Edition.- Preface to the First Edition.- The Theorem of Pythagoras.- Greek Geometry.- Greek Number Theory.- Infinity in Greek Mathematics.- Number Theory in Asia.- Polynomial Equations.- Analytic Geometry.- Projective Geometry.- Calculus.- Infinite Series.- The Number Theory Revival.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Non-Euclidean Geometry.- Group Theory.- Hypercomplex Numbers.- Algebraic Number Theory.- Topology.- Simple Groups.- Sets, Logic, and Computation.- Combinatorics.- Bibliography.- Index.-
£999.99
Springer New York Hidden HarmonyGeometric Fantasies The Rise of
Book SynopsisThis book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place.Trade Review“There is much in this book that will educate, be appreciated by, and no doubt provoke mathematicians as well as historians of mathematics and of science. … It stands its ground as a scholarly treatise that fills many lacunae in the extant historical literature. It will surely provoke further debate and research. As a bonus, it comes filled with treasures for both the specialist and the novice.” (Tushar Das, MAA Reviews, July, 2015)“The book is devoted to the history of complex (analytic) function theory from its origins to 1914. … The book is highly recommended for historians of mathematics, mathematicians with historical interests, and everyone who is interested in complex function theory and its history. It offers a wealth of information that is well documented.” (Karl-Heinz Schlote, Mathematical Reviews, October, 2014)“This comprehensive, massively researched volume … is a detailed historical account of the development of analytic function theory in the 19th century, tracing its rise and ramification through that period up until about 1910. … It is a very dense and scholarly work, suitable for specialists. Summing Up: Recommended. Graduate students, researchers/faculty, and professionals/practitioners.” (D. Robbins, Choice, Vol. 51 (9), May, 2014)“This book is the first one devoted to the history of complex function theory. The authors present the rise of analytic function theory from its origins to 1914. … This book is of great interest and help, not only for mathematicians interested in complex function theory, but also for everyone who likes the history of mathematics.” (Agnieszka Wisniowska-Wajnryb, zbMATH, Vol. 1276, 2014)Table of ContentsList of Figures.- Introduction.- 1. Elliptic Functions.- 2. From real to complex.- 3. Cauch.- 4. Elliptic integrals.- 5. Riemann.- 6. Weierstrass.- 7. Differential equations.- 8. Advanced topics.- 9. Several variables.- 10. Textbooks.
£179.99
New York University Press Mathematics Metrology and Model Contracts
Book SynopsisA comprehensive edition and commentary of a late antique codexMathematics, Metrology, and Model Contracts is a comprehensive edition and commentary of a late antique codex. The codex contains mathematical problems, metrological tables, and model contracts. Given the nature of the contents, the format, and quality of the Greek, the editors conclude that the codex most likely belonged to a student in a school devoted to training business agents and similar professionals. The editors present here the first full scholarly edition of the text, with complete discussions of the provenance, codicology, and philology of the surviving manuscript. They also provide extensive notes and illustrations for the mathematical problems and model contracts, as well as historical commentary on what this text reveals about late antique numeracy, literacy, education, and vocational training in what we would now see as business, law, and administration.The book will be of inTrade Review[Mathematics, Metrology, and Model Contracts] is an important publication and provides a wide range of information; readers and scholars can acquire a complete and in-depth knowledge of this specific subfield of papyrology by using [Mathematics, Metrology, and Model Contracts] as a reference. * Plekos *
£63.00
University of Toronto Press Bibliography and Research Manual of the History
Book SynopsisThis volume will provide invaluable assistance for mathematicians, historians of mathematics and users of mathematics in the retrieval of information about mathematicians and topics in mathematics and closely related fields. The major portion of the book is a classified and annotated bibliography of some 24,000 relevant publications udner about 3,750 headings. Preceeding the bibliography is a guide to personal information retrieval, storage, analysis and use. An appendix provides a useful list of over 3,000 mathematical and historical journals cited in the bibliography or otherwise known to the author, with pertinent publishing information.
£48.45
Society for Industrial & Applied Mathematics,U.S. A Journey through the History of Numerical Linear
Book SynopsisThis expansive volume describes the history of numerical methods proposed to solve linear algebra problems,, from antiquity to the present day. The authors focus on methods for solving linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of the main important contributors to the field.A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, and to applied mathematiciansas well as to and historians of mathematics as well.
£113.90
Liverpool University Press Numbering and Measuring in the Classical World
Book SynopsisThis volume introduces the reader to Greek and Roman ways of expressing numbers, weights and measures. These are matters often relegated to footnotes or an appendix. Yet the words, the symbols and the calculations used in the classical world have an interest in themselves and often reveal unexpected facets of the culture that employed them. The subject can be complex but this book seeks to cut it to the essentials and to avoid the aridity of larger, more technical treatments. It offers a fluid and readable text, liberally enhanced with tables and specific examples. Chapters cover the cardinal numbers, other number words, inclusive reckoning, symbols, fractions, simple arithmetic, linear measurements, measuring area and volume, measuring weight, capacity and value; financial matters; sizes of pipes and nozzles; measuring time. It is quite simply an indispensable point of reference for every student of classical culture or of ancient texts.Trade Review... it more than covers a very complex and obscure series of topics. … The book will be of use to any student or scholar of classical antiquity; it is a short, excellent introduction to a highly technical subject. * Bryn Mawr Classical Review *... this practical and readable book ... * The Journal of Classics Teaching, JACT Third Series, Number 4, Spring *Table of Contents Table of Contents Chapter One: The Cardinal Numbers Chapter Two: Other Number Words Chapter Three: Inclusive Reckoning; ante and poste Chapter Four: Symbols Chapter Five: Fractions Chapter Six: Simple Arithmetic Chapter Seven: Linear Measures Chapter Eight: Measuring Area and Volume Chapter Nine: Measuring Weight Chapter Ten: Measuring Capacity Chapter Eleven: Measuring Value Chapter Twelve: Some Financial Matters Chapter Thirteen: Sizes of Pipes and Nozzles Chapter Fourteen: Measuring Time Select Bibliography Index of Passages Quoted Index of Words
£27.96
Cornell University Press Sangaku Reflections: A Japanese Mathematician
Book SynopsisDuring the period of national isolation, a mathematical tradition called wasan flourished in Japan. Though virtually unknown to Europeans before the Meiji Restoration, its practitioners, the wasanka, produced some results comparable to (and sometimes in advance of) those of mathematicians of the European Enlightment. This volume, a companion to Unger's earlier translation of solutions by Aida Yasuaki (1747–1817), focuses on problems that Aida most likely used as a teacher. Unger explains the reasons for believing this, and sheds further light on the intellectual milieu in which Aida worked by discussing other books by Aida, including one in which he describes Dutch techniques of navigation.
£19.79
Rutgers University Press Performing Math: A History of Communication and
Book SynopsisPerforming Math tells the history of expectations for math communication—and the conversations about math hatred and math anxiety that occurred in response. Focusing on nineteenth-century American colleges, this book analyzes foundational tools and techniques of math communication: the textbooks that supported reading aloud, the burnings that mimicked pedagogical speech, the blackboards that accompanied oral presentations, the plays that proclaimed performers’ identities as math students, and the written tests that redefined “student performance.” Math communication and math anxiety went hand in hand as new rules for oral communication at the blackboard inspired student revolt and as frameworks for testing student performance inspired performance anxiety. With unusual primary sources from over a dozen educational archives, Performing Math argues for a new, performance-oriented history of American math education, one that can explain contemporary math attitudes and provide a way forward to reframing the problem of math anxiety.Trade Review“Mixed Media,” VQ: Vassar College Alumnae/i Quarterly, Spring 2021 mention of Performing Math— VQ: Vassar College Alumnae/i Quarterly, Spring 2021 "Performing Math tackles the important topic of mathematics education from a distinctive angle. The author has unearthed fascinating accounts of American students creating performance events out of the seemingly undramatic materials of the mathematics classroom and the mathematics textbook. This book should intrigue anyone with an interest in American history and will be of particular value to historians of mathematics and historians of education."— David Lindsay Roberts, author of Republic of Numbers: Unexpected Stories of Mathematical Americans through History "Super Math, Performing Math, Mathematics of the Gods and Algorithms of Men, and More in Mathematics | Academic Best Sellers"— Library Journal "With unusual primary sources from over a dozen educational archives, Performing Math argues for a new, performance-oriented history of American math education. It also analyzes a lot of humor about American mathematics in a fun way."— Research Magazine "Andrew Fiss’s examination of ways in which American textbook authors, teachers, and students have communicated mathematical ideas over the past two centuries gives new meaning to the phrase classroom performance."— Peggy Aldrich Kidwell, coauthor of Tools of American Mathematics Teaching, 1800–2000 "Through an impressive array of evidence and historical accounts, Performing Math convincingly shows that mathematics education has often had a significant theatrical component. Without a doubt this book illuminates mathematics and its place in American culture in new and surprising ways." — Amir Alexander, author of Proof! How the World Became GeometricalTable of ContentsTable of Contents Preface Introduction 1 How Math Communication Has Started with Reading Aloud 2 How Math communication Has Been Practiced in Prohibited Ways 3 How Math Anxiety Has Developed from Classroom Tech 4 How Math Communication Has Been Theatrical 5 How Math Anxiety Became about Written Testing Acknowledgments Notes Index
£30.40
Rutgers University Press Performing Math: A History of Communication and
Book SynopsisPerforming Math tells the history of expectations for math communication—and the conversations about math hatred and math anxiety that occurred in response. Focusing on nineteenth-century American colleges, this book analyzes foundational tools and techniques of math communication: the textbooks that supported reading aloud, the burnings that mimicked pedagogical speech, the blackboards that accompanied oral presentations, the plays that proclaimed performers’ identities as math students, and the written tests that redefined “student performance.” Math communication and math anxiety went hand in hand as new rules for oral communication at the blackboard inspired student revolt and as frameworks for testing student performance inspired performance anxiety. With unusual primary sources from over a dozen educational archives, Performing Math argues for a new, performance-oriented history of American math education, one that can explain contemporary math attitudes and provide a way forward to reframing the problem of math anxiety.Trade Review“Mixed Media,” VQ: Vassar College Alumnae/i Quarterly, Spring 2021 mention of Performing Math— VQ: Vassar College Alumnae/i Quarterly, Spring 2021 "Performing Math tackles the important topic of mathematics education from a distinctive angle. The author has unearthed fascinating accounts of American students creating performance events out of the seemingly undramatic materials of the mathematics classroom and the mathematics textbook. This book should intrigue anyone with an interest in American history and will be of particular value to historians of mathematics and historians of education."— David Lindsay Roberts, author of Republic of Numbers: Unexpected Stories of Mathematical Americans through History "Super Math, Performing Math, Mathematics of the Gods and Algorithms of Men, and More in Mathematics | Academic Best Sellers"— Library Journal "With unusual primary sources from over a dozen educational archives, Performing Math argues for a new, performance-oriented history of American math education. It also analyzes a lot of humor about American mathematics in a fun way."— Research Magazine "Andrew Fiss’s examination of ways in which American textbook authors, teachers, and students have communicated mathematical ideas over the past two centuries gives new meaning to the phrase classroom performance."— Peggy Aldrich Kidwell, coauthor of Tools of American Mathematics Teaching, 1800–2000 "Through an impressive array of evidence and historical accounts, Performing Math convincingly shows that mathematics education has often had a significant theatrical component. Without a doubt this book illuminates mathematics and its place in American culture in new and surprising ways." — Amir Alexander, author of Proof! How the World Became GeometricalTable of ContentsTable of Contents Preface Introduction 1 How Math Communication Has Started with Reading Aloud 2 How Math communication Has Been Practiced in Prohibited Ways 3 How Math Anxiety Has Developed from Classroom Tech 4 How Math Communication Has Been Theatrical 5 How Math Anxiety Became about Written Testing Acknowledgments Notes Index
£107.20
Springer Nature Switzerland AG Stereotomy: Stone Construction and Geometry in
Book SynopsisThis book deals with the general concepts in stereotomy and its connection with descriptive geometry, the social background of its practitioners and theoreticians, the general methods and tools of this technology, and the specific procedures for the members built in hewn stone, including arches, squinches, stairs and vaults, ending with a chapter discussing the open problems in this field. Thus, it can be used as a reference book in the subject, but it can also read as a compelling narrative on this subject, one of the main branches of pre-industrial technology. Construction in hewn stone requires the use of geometrical methods and tools to assure that individual stones, either blocks or voussoirs, fit with one another and conform to the general shape of walls, arches or vaults. During the Late Middle Ages and the Renaissance, such techniques and instruments were developed empirically by masons and architects. Later on, learned mathematicians and engineers introduced refinements in these procedures and this branch of knowledge, known as stereotomy, furnished much material to descriptive geometry, a science born with the French Revolution which provided the foundation for projective geometry. Table of ContentsIntroduction.- Writers.- Techniques.- Members.- Problems.- A provisional summary.- References.
£999.99
Springer International Publishing AG Abstract Algebra and Famous Impossibilities: Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations
Book SynopsisThis textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abel’s original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus.Table of Contents1. Algebraic Preliminaries.- 2. Algebraic Numbers and Their Polynomials.- 3. Extending Fields.- 4. Irreducible Polynomials.- 5. Straightedge and Compass Constructions.- 6. Proofs of the Geometric Impossibilities.- 7. Zeros of Polynomials of Degrees 2, 3, and 4.- 8. Quintic Equations 1: Symmetric Polynomials.- 9. Quintic Equations II: The Abel–Ruffini Theorem.- 10. Transcendence of e and π.- 11. An Algebraic Postscript.- 12. Other Impossibilities: Regular Polygons and Integration in Finite Terms.- References.- Index.
£49.49
Birkhäuser A Historical Dictionary of Mathematical Terms
Book SynopsisIntroduction.- List of Figures.- List of Tables.- List of Abbreviations.- Index.- The Dictionary.
£152.99
Birkhäuser A Historical Dictionary of Mathematical Terms
Book SynopsisIntroduction.- List of Figures.- List of Tables.- List of Abbreviations.- Index.- The Dictionary.
£152.99
Birkhauser Verlag AG Correspondence of Leonhard Euler with Christian
Book SynopsisWhen Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years.This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765.Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.Trade Review“The present volume is the second part of Lemmermeyer and Mattmüller's edition of the correspondence between Euler and Goldbach. … This edition of the Euler-Goldbach correspondence published in two volumes will soon be the indispensable reference. It is a pearl in the literature concerning history of mathematics and history of number theory in particular.” (Thomas Sonar, zbMATH 1361.01009, 2017)Table of ContentsPreface.- Introduction.- 1 Historical and biographical setting.- 1.1. Christian Goldbach: A short biography.- 1.2. Goldbach and Euler.- 1.3. The Euler-Goldbach correspondence – chronology and statistics.- 2 Main subjects of the correspondence.- 2.1. Number theory.- 2.2. Analytic tools in number theory.- 2.3. Algebra: roots of polynomials and transcendence.- 2.4. Analysis.- 2.5. Geometry, topology, combinatorics.- 2.6. Natural science.- 2.7. Professional life: Academies, prizes, publications.- 2.8. Personal life: family, travel, health.- 3 Editing the Euler-Goldbach correspondence.- 3.1. Description of the manuscript sources.- 3.2. Prior editions.- 3.3. Editorial principles.- Correspondence with Christian Goldbach. Original Texts.- Translations.- Indices: Synoptic Table.- Bibliography.- Systematic Subject Index.- Name Index.
£227.48
Birkhauser Verlag AG Correspondence of Leonhard Euler with Christian
Book SynopsisWhen Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years.This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765.Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.Trade Review“The present book in the edition of Leonhard Euler's œuvre is concerned with the correspondence of Euler with Christian Goldbach. … The present volume is a pearl in the edition of Euler's correspondence and a must-read for historians of mathematics particularly interested in the history of number theory.” (Thomas Sonar, zbMATH 1361.01008, 2017)Table of ContentsPreface.- Introduction.- 1 Historical and biographical setting.- 1.1. Christian Goldbach: A short biography.- 1.2. Goldbach and Euler.- 1.3. The Euler-Goldbach correspondence – chronology and statistics.- 2 Main subjects of the correspondence.- 2.1. Number theory.- 2.2. Analytic tools in number theory.- 2.3. Algebra: roots of polynomials and transcendence.- 2.4. Analysis.- 2.5. Geometry, topology, combinatorics.- 2.6. Natural science.- 2.7. Professional life: Academies, prizes, publications.- 2.8. Personal life: family, travel, health.- 3 Editing the Euler-Goldbach correspondence.- 3.1. Description of the manuscript sources.- 3.2. Prior editions.- 3.3. Editorial principles.- Correspondence with Christian Goldbach. Original Texts.- Translations.- Indices: Synoptic Table.- Bibliography.- Systematic Subject Index.- Name Index.
£129.99
Birkhauser Verlag AG The Apprenticeship of a Mathematician
Book SynopsisFrom 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 his meetings and conversations with leading mathematicians, reflects his views on mathematics. The book describes an extraordinary career of an exceptional man and mathematicians. Strongly recommended to specialists as well as to the general public." --EMS Newsletter (1992)Table of ContentsI Growing Up.- II At the Ecole Normale.- III First Journeys, First Writings.- IV India.- V Strasbourg and Bourbaki.- VI The War and I: A Comic Opera in Six Acts.- Prelude.- Finnish Fugue.- Arctic Intermezzo.- Under Lock and Key.- Serving the Colors.- A Farewell to Arms.- VII The Americas; Epilogue.- Index of Names.
£91.68
de Gruyter Philosophie Der Mathematik
Book Synopsis
£49.46
De Gruyter Nonstandard-Analysis
Book Synopsis
£57.60
de Gruyter Advances in Peircean Mathematics
Book Synopsis
£18.50
de Gruyter Mathematik Sprache Dialektik
Book Synopsis
£126.64
Springer International Publishing AG Œuvres Complètes—Collected Works
Book SynopsisThis book contains all of Wolfgang Doeblin's publications. In addition, it includes a reproduction of the pli cacheté on l'équation de Kolmogoroff and previously unpublished material that Doeblin wrote in 1940. The articles are accompanied by commentaries written by specialists in Doeblin's various areas of interest. The modern theory of probability developed between the two World Wars thanks to the very remarkable work of Kolmogorov, Khinchin, S.N. Bernstein, Romanovsky, von Mises, Hostinsky, Onicescu, Fréchet, Lévy and others, among whom one name shines particularly brightly, that of Wolfgang Doeblin (1915–1940). The work of this young mathematician, whose life was tragically cut short by the war, remains even now, and indeed will remain into the future, an exemplar of originality and of mathematical power. This book was conceived and in essence brought to fruition by Marc Yor before his death in 2014. It is dedicated to him.Trade Review“It attracted interest not only by mathematicians or some probability theory specialists, but also by the public, which normally would not be that interested in mathematics. … the editors gathered not only all published articles of W. Doeblin, but also some more papers, especially the ‘cahier jaune’ (yellow notebook). In comments and annotations the contents of the papers are put into today’s context by probability theory specialists. The book is excellent, a large and substantial work.” (Silke Göbel, zbMATH 1460.01019, 2021)Table of ContentsJ.-M. Bismut, Avant-propos.- H. Föllmer, Geleitwort.- B. Bru, Preface.- Part I The Life of Wolfgang Doeblin March 17, 1915 – June 21, 1940: B. Bru, Biographical Summary.- W. Doeblin, Autobiographical Note.- W. Doeblin (with remarks by B. Bru and E. Seneta), Notice sur les travaux.- List of Works of Wolfgang Doeblin.- Conversion Table.- T. Lindvall, W. Doeblin 1915–1940.- B. Bru and M. Yor, La vie de Doeblin et le pli cacheté 11.668.- B. Bru and M. Yor, Comments on the Life and Mathematical Legacy of Wolfgang Doeblin.-B. Bru and E. Seneta, Two Letters of W. Doeblin to A. N. Kolmogorov.- Part II Markov Chains: E. Seneta, Doeblin on Discrete Markov Chains.- M. Iosifescu, On Doeblin and Fortet’s paper “Sur des chaînes à liaisons complètes”.- M. Iosifescu, On Doeblin’s paper “Remarques sur la théorie métrique des fractions continues”.- E. Nummelin, Doeblin’s Theory of Markov Chains on a General Measurable State Space.- W. Doeblin, Sur les chaînes discrètes de Markoff [1936b].- W. Doeblin, Errata 1: Sur les chaînes discrètes de Markoff [1936c].- W. Doeblin, Errata 2: Sur les chaînes discrètes de Markoff [1936d].- W. Doeblin, Sur les chaînes de Markoff [1936e].- W. Doeblin and R. Fortet, Sur deux notes de MM. Kryloff et Bogoliouboff [1937e].- W. Doeblin, Éléments d’une théorie générale des chaînes constantes simples de Markoff [1937f].- W. Doeblin, Le cas discontinu des probabilités en chaîne [1937a].- W. Doeblin, Sur le cas continu des probabilités en chaîne [1937b].- W. Doeblin, and Robert Fortet Sur des chaînes à liaisons complètes [1937c].- W. Doeblin, Sur l’équation de Smoluchowsky [1937d].- W. Doeblin, Sur les propriétés asymptotiques de mouvements régis par certains types de chaînes simples [1938g] (reprint of [1937g] and [1937h]).- W. Doeblin, Sur l’équation matricielle A(t+s) = [A(t)A(s)] et ses applications aux probabilités en chaîne [1938a].-W. Doeblin, Sur l’équation matricielle A(t+s) = [A(t)A(s)] et ses applications au calcul des probabilités [1940a].- W. Doeblin, Sur deux problèmes de M. Kolmogoroff concernant les chaînes dénombrables [1938f].- W. Doeblin, Exposé de la théorie des chaînes simples constantes de Markoff à un nombre fini d’états [1938e].- W. Doeblin, Remarques sur la théorie métrique des fractions continues [1940d.- W. Doeblin, Éléments d’une théorie générale des chaînes simples constantes de Markoff [1940e].- Part III Sums of Independent Random Variables: D. M. Mason, Notes on Wolfgang Doeblin’s 1940 paper: L’ensemble de puissances d’une loi de probabilité.- W. Doeblin and P. Lévy, Sur les sommes de variables aléatoires indépendantes à dispersions bornées inférieurement [1936a].- W. Doeblin, Premiers éléments d’une étude systématique de l’ensemble de puissances d’une loi de probabilité [1938b].- W. Doeblin, Étude de l’ensemble de puissances d’une loi de probabilité [1938c].- W. Doeblin, Sur les sommes d’un grand nombre de vecteurs aléatoires [1938d].- W. Doeblin, Sur un problème de calcul des probabilités [1939b].- W. Doeblin, Sur les sommes d’un grand nombre de variables aléatoires indépendantes [1939c].- W. Doeblin, Sur l’ensemble de puissances d’une loi de probabilité (1940) [1940f].- W. Doeblin (with remarks by B. Bru and E. Seneta), Sur l’ensemble de puissances d’une loi de probabilité [1946].- Part IV Chapman’s Equations. Part IV.1 Documents Published Before the pli cacheté: W. Doeblin (with a remark by B. Bru), Sur certaines mouvements aléatoires discontinus [1939d].- W. Doeblin, Sur l’équation de Kolmogoroff [1938h].- W. Doeblin, Sur certains mouvements aléatoires [1939a].- W. Doeblin, Sur l’équation de Kolmogoroff [1940b].- W. Doeblin, Sur des mouvements mixtes [1940c].- Part IV.2 The pli cacheté: M. Yor, Présentation du pli cacheté.- W. Doeblin (with remarks by Bernard Bru and Marc Yor), Sur l’équation de Kolmogoroff, pli cacheté déposé le 26 février 1940, ouvert le 18 mai 2000 [1940g/2000].- B. Bru, Notes de lecture du pli cacheté.- W. Doeblin (with remarks by Bernard Bru), Exposé(s) sur l’équation de Chapman [1938i/2000].- Part IV.3 Archival Documents Related to the pli cacheté: B. Bru, Introduction to Doeblin’s “Sur la solution de M. Hostinský de l’équation de Chapman”.- W. Doeblin, Sur la solution de M. Hostinský de l’équation de Chapman [1940h/1993].- W.Doeblin (with an introduction by B. Bru and E. Seneta), Le cahier jaune: Recherche sur l’équation de Chapman. Propriétés communes aux mouvements régis par l’équation de Chapman [1940i/2020].- Part V Appendix: B. Bru and E. Seneta, Postface.- Acknowledgements.- Credits.- Bibliography.- Supplementary Reading.
£71.24
Springer International Publishing AG Saved from the Cellar: Gerhard Gentzen’s
Book SynopsisGerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today. Another noteworthy achievement is his resolution of the embarrassing situation created by Gödel's incompleteness results, especially the second one about the unprovability of consistency of elementary arithmetic. After these successes, Gentzen dedicated the rest of his short life to the main problem of Hilbert's proof theory, the question of the consistency of analysis. He was arrested in the summer of 1945 with other professors of the German University of Prague and died soon afterward of starvation in a prison cell. Attempts at locating his lost manuscripts failed at the time, but several decades later, two slim folders of shorthand notes were found. In this volume, Jan von Plato gives an overview of Gentzen's life and scientific achievements, based on detailed archival and systematic studies, and essential for placing the translations of shorthand manuscripts that follow in the right setting. The materials in this book are singular in the way they show the birth and development of Gentzen's central ideas and results, sometimes in a well-developed form, and other times as flashes into the anatomy of the workings of a unique mind.Trade Review“This book is obviously indispensable to historians of logic in the immediate wake of Gödel’s 1931 incompleteness theorems. … Saved from the Cellar is also valuable for less specialist readers (like myself ) who wish to understand the broader outlines of what proof theory has meant to several of its leading creators.” (Colin McLarty, Isis, Vol. 111 (1), 2020)“The book contains translations of shorthand notes which survived in the Nachlass of the mathematical logician Gerhard Gentzen. ... The book is valuable source for the history of modern logic; the editor did an excellent work in getting the shorthand notes, first transcribed in normal German text, and then translating it to English.” (Reinhard Kahle, zbMath 1414.03002, 2019)“Every general reader interested in modern logic and its history, … may find a source of inspiration in Genzen’s unpublished notes of the thirties, as well as for the philosopher concerned with epistemological aspects of modern logic.” (Adrian Rezus, Studia Logica, Vol. 107, 2019)“This is an account and transcription of two slim folders of stenographic material in Gerhard Gentzen's handwriting that were found in 1984. … this book is a valuable contribution to the history of the development of mathematical logic in the first half of the twentieth century.” (Henry Africk, Mathematical Reviews, December, 2017)Table of ContentsPart I: A Sketch of Gentzen's Life and Work.- 1. Overture.- 2. Gentzen's years of study.- Dr. Gentzen's arduous years in Nazi Germany.- 4. The scientific accomplishments.- 5. Loose ends.- 6. Gentzen's genuis.- Part II: Overview of the Shorthand Notes.- 1. Gentzen's series of stenographic manuscripts.- 2. The items in this collection.- Practical remarks on the manuscripts.- Manuscript illustrations.- The German alphabet in Latin, Sutterlin, and Fraktur Type.- Bibliography for parts I and II.- Index of names for Parts I and II.- Part III: The Original Writings.- 1. Reduction of number-theoretic problems to predicate logic.- 2. Replacement of functions by predicates.- 3. The formation of abstract concepts.- 4. Five different forms of natural calculi.- 5. Formal conception of correctness in arithmetic I.- 6. Investigations into logical inferences.- 7. Reduction of classical to intuitionistic logic.- 8. CV of the candidate Gerhard Gentzen.-0 9. Letters to Heyting.- 10. Formal conception of correctness in arithmetic II.- 11. Proof theory of number theory.- 12. Consistency of artihmetic, for publication.- 13. Correspondence with Paul Bernays.- 14. Forms of type theory.- 15. Predicate logic.- 16. Propositional logic.- 17. Foundational research in mathematics.- Table of cross-references in the Gentzen papers.- Index of names in the Gentzen papers.- Index of subjects in the Gentzen papers.
£113.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Felix Hausdorff - Gesammelte Werke Band VII:
Book SynopsisBand VII der Hausdorff Edition widmet sich dem philosophischen Werk F. Hausdorffs. Der Band enthält den Aphorismenband "Sant' Ilario. Gedanken aus der Landschaft Zarathustras", das erkenntniskritische Buch "Das Chaos in kosmischer Auslese" sowie drei bemerkenswerte Essays über Nietzsches Werke - alle unter dem Pseudonym Paul Mongré veröffentlicht. Die beiden Bücher werden sehr eingehend kommentiert. In einer historischen Einführung des Herausgebers wird Hausdorffs philosophisches Werk in die Geschichte des philosophischen Denkens eingeordnet.Table of ContentsEinleitung des Herausgebers. - Paul Mongré (Felix Hausdorff): Sant' Ilario. Gedanken aus der Landschaft Zarthustras. - Paul Mongré (Felix Hausdorff): Selbstanzeige von Sant' Ilario. - Kommentar zu Sant' Ilario. - Paul Mongré (Felix Hausdorff): Das Chaos in kosmischer Auslese. - Paul Mongré (Felix Hausdorff): Selbstanzeige von Das Chaos in kosmischer Auslese. - Kommentar zu Das Chaos in kosmischer Auslese. - Paul Mongré (Felix Hausdorff): Nietzsches Wiederkunft des Gleichen. - Paul Mongré (Felix Hausdorff): Nietzsches Lehre von der Wiederkunft des Gleichen. - Paul Mongré (Felix Hausdorff): Der Wille zur Macht. - Personenverzeichnis.
£134.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Felix Hausdorff - Gesammelte Werke Band 8:
Book SynopsisDer Band VIII der Gesammelten Werke Felix Hausdorffs enthält seine literarischen Schriften, die er unter dem Pseudonym Paul Mongré veröffentlicht hat. Dazu gehören der Gedichtband "Ekstasen", 14 Essays, die zumeist in führenden Literaturzeitschriften der damaligen Zeit erschienen sind sowie das Theaterstück "Der Arzt seiner Ehre", welches in mehr als 30 Städten über 300 mal aufgeführt wurde. In einer Einleitung des Herausgebers wird Hausdorffs literarisches Schaffen in die Literatur der Moderne eingeordnet. Ausführliche Kommentare und Erläuterungen erhellen den entstehungsgeschichtlichen Kontext, weisen alle literarischen, historischen, philosophischen und andere Anspielungen und Zitate sorgfältig nach und erklären Begriffe und Sachverhalte, die nicht allgemein geläufig sind.Table of ContentsFriedrich Vollhardt: Einleitung.- Teil I: Das lyrische Werk.- Paul Mongré: Ekstasen.- Kommentar.- Felix Hausdorff: Sant' Hilario. Widmungsgedicht für Theodor Posner.- Kommentar.- Felix Hausdorff: Akrostichon zum 24. Februar 1930.- Kommentar.- Felix Hausdorff: Sehr schwieriges Akrostichon für das Ehepaar Toeplitz.- Kommentar.- Teil II: Das essayistische Werk.- Paul Mongré: Massenglück und Einzelglück.- Kommentar Paul Mongré: Das unreinliche Jahrhundert.- Kommentar.- Paul Mongré: Stirner.- Kommentar.- Paul Mongré: Tod und Wiederkunft.- Kommentar.- Paul Mongré: Der Schleier der Maja.-Kommentar.- Paul Mongré: Max Klingers Beethoven.- Kommentar.- Paul Mongré: Offener Brief gegen Landauer.- Kommentar.- Paul Mongré: Sprachkritik.- Kommentar.- Paul Mongré: Gottes Schatten.- Kommentar.- Paul Mongré: Gottes Schatten.- Kommentar.- Paul Mongré: Max Klinger: Beethoven.- Kommentar.- Paul Mongré: Strindbergs Blaubuch.- Kommentar.- Paul Mongré: Der Komet.- Kommentar.- Paul Mongré: Andacht zum Leben.- Kommentar.- Paul Mongré: Biologisches.-Kommentar.- Teil III: Das Werk für die Bühne.- Paul Mongré: Der Arzt seiner Ehre.- Kommentar.- Personenregister.
£113.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Felix Hausdorff - Gesammelte Werke Band VI:
Book SynopsisBand VI der Hausdorff Edition enthält veröffentlichte Aufsätze sowie bislang unveröffentlichte Schriften und Notizen von Felix Hausdorff zur Erkenntniskritik von Zeit und Raum sowie zur nichteuklidischen Geometrie. Er dokumentiert Hausdorffs lebenslanges Interesse an diesen Themen und erlaubt einen neuen Einblick in die Herausbildung einer modernen Epistemologie der Mathematik und der Naturwissenschaften. Er zeigt auch, wie Hausdorffs mathematische, philosophische und literarische Tätigkeiten in seiner intellektuellen Laufbahn interagierten. Die historische Einführung des Herausgebers bietet umfassende Informationen über Hausdorffs philosophischen Horizont. Alle Leserinnen und Leser, die an der Entstehung der modernen Mathematik und ihrer philosophischen Reflexion interessiert sind, werden diesen Band der Gesammelten Werke Hausdorffs mit Gewinn lesen.Volume VI of the Hausdorff Edition contains published articles and previously unpublished material by Felix Hausdorff relating to the epistemology of time and space, as well as on noneuclidean geometry. It documents Hausdorff’s lifelong interest in these issues and provides new insight into the formation of a modern epistemology of mathematics and of science. The volume also documents how Hausdorff’s mathematical, philosophical and literary work interacted throughout his career. The editor’s historical introduction provides a wealth of information about Hausdorff’s philosophical background. Everyone interested in the emergence of modern mathematics and its philosophical contexts will profit from reading this volume of Hausdorff’s Collected Works.Trade Review“... Insgesamt ist Band VI der Hausdorffschen Werke eine sehr lohnende Quelle für alle, die sich für Hausdorff und/oder für die geistige Situation kurz nach der Jahrhundertwende interessieren. Sowohl den Herausgebern der Werke als auch dem Bearbeiter des Bandes ist dafür zu danken, dass diese nun zugänglich ist …” (Klaus Volkert, in: Mathematische Semesterberichte, Jg. 68, 2021)Table of ContentsPart I M. Epple, Felix Hausdorffs Erkenntniskritik von Zeit und Raum: Einleitung.- Ausgangspunkte.- Zwischen Metaphysikkritik und spekulativer Zeitphilosophie.- Besonnener Empirismus und axiomatische Analyse.- Zeit- und raumtheoretische Motive nach 1905.- Spielräume des Denkens: Hausdorffs Argumente im Kontext.- Literatur.- Part II Publizierte Arbeiten: Analytische Beiträge zur nichteuklidischen Geometrie .- L. v. Bortkewitsch, Das Gesetz der kleinen Zahlen (Besprechung).- W. Ostwald: Vorlesungen über Naturphilosophie (Besprechung).- Das Raumproblem (Antrittsvorlesung an der Universität Leipzig).- J. B. Stallo: Die Begriffe und Theorien der modernen Physik (Besprechung).- W. K. Clifford: Von der Natur der Dinge an sich (Besprechung).- R. Manno: Heinrich Hertz – für die Willensfreiheit? (Besprechung).- R. Schweitzer: Die Energie und Entropie der Naturkräfte (Besprechnung).- C. Stumpf: Leib und Seele (Besprechung).- M. Palágyi: Die Logik auf dem Scheidewege (Besprechung).- Eine neue Strahlengeometrie (Zu Study: Geometrie der Dynamen).- R. Semon: Die Mneme als erhaltendes Prinzip (Besprechung).- Eduard Study (Worte am Sarge Eduard Studys, 9. Januar 1930).- Part III Arbeiten aus dem Nachlass: Nichteuklidische Geometrie (Aufsatz für eine Naturforscherzeitung).- Zeit und Raum (Vorlesung WS 1903/04).- [Relativitätsprinzip] (vermutl. Vortragsmanuskript).- Studien aus der Kapsel 49 des Nachlasses: [Raum und Zeit].- Projektive Geometrie. Grundlagen, Axiome. Freie Beweglichkeit.- Ähnlichkeit. Absolute und relative Bewegung. Der Raum als Ganzes.- Stetigkeit. Mengenlehre. Dreidimensionalität. Fern- und Nahwirkung.- Transformationsprincip.- Psychologisches.- Zeit.- Personenregister.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Felix Hausdorff - Gesammelte Werke Band IX:
Book SynopsisFelix Hausdorff war nicht nur einer der herausragenden Mathematiker des ersten Drittels des 20. Jahrhunderts, sondern unter Pseudonym auch Verfasser eines Aphorismenbandes, eines erkenntniskritischen Buches, eines Gedichtbandes, eines Theaterstücks und zahlreicher literarischer und philosophischer Essays. Der Band enthält alle Briefe von und an Hausdorff, die bisher in Bibliotheken und Archiven in aller Welt aufgefunden werden konnten. Unter seinen Korrespondenzpartnern sind neben bedeutenden Mathematikern auch Philosophen, Schriftsteller, Künstler und Feuilletonisten. Die gesamte Korrespondenz ist sorgfältig kommentiert. Jeder Korrespondenzpartner wird dem Leser mit einer Kurzbiographie vorgestellt.
£89.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Felix Hausdorff - Gesammelte Werke Band IA:
Book SynopsisDer Band 1A beginnt mit einem Vorwort zur Gesamtedition. Den Hauptteil des Bandes bilden Hausdorffs Arbeiten über geordnete Mengen aus den Jahren 1901-1909. Diese haben der Entwicklung der Mengenlehre nachhaltige Impulse verliehen. Sie enthalten zahlreiche für die Untersuchung geordneter Mengen grundlegende neue Begriffe sowie tiefliegendere Resultate. Alle diese Arbeiten sind sorgfältig kommentiert. Die Kommentare zeigen, dass einige von Hausdorff's Ideen und Resultaten für die moderne Grundlagenforschung hochaktuell sind. Ferner enthält der Band Hausdorff's kritische Besprechung von Russells "The Principles of Mathematics", aus dem Nachlass seine Vorlesung "Mengenlehre" von 1901 (eine der ersten Vorlesungen über dieses Gebiet überhaupt) sowie einen Essay "Hausdorff als akademischer Lehrer". Table of ContentsTeil I. Arbeiten über geordnete Mengen.– Über eine gewisse Art geordneter Mengen.- Kommentar.- Der Potenzbegriff in der Mengenlehre.- Kommentar.- Untersuchungen über Ordnungstypen I, II, III.- Untersuchungen über Ordnungstypen IV, V.- Kommentar.- Über dichte Ordnungstypen.- Kommentar.- Grundzüge einer Theorie der geordneten Mengen.- Kommentar.- Die Graduierung nach dem Endverlauf.- Comments.- Summe von N1 Mengen.- Comments.- Gaps in partially ordered sets and related problems.- Teil II. Aus dem Nachlaß zur Mengenlehre.- Mengenlehre. Vorlesung der Universität Leipzig, Sommersemester 1901.- Kommentar.- Alefsätze.- Anhänge.- Bertrand Russell, The Principles of Mathematics (Besprechung).- Kommentar.- Hausdorff als akademischer Lehrer.- Entstehung der Hausdorff-Edition.- Personenregister.- Sachregister.
£125.99
Springer Fachmedien Wiesbaden Karl Weierstraß (1815–1897): Aspekte seines
Book SynopsisDer Berliner Mathematiker Karl Weierstraß (1815-1897) lieferte grundlegende Beiträge zu den mathematischen Fachgebieten der Funktionentheorie, Algebra und Variationsrechnung. Er gilt weltweit als Begründer der mathematisch strengen Beweisführung in der Analysis. Mit seinem Namen verbunden ist zum Beispiel die berühmte Epsilon-Delta-Definition des Begriffs der Stetigkeit reeller Funktionen. Weierstraß’ Vorlesungszyklus zur Analysis in Berlin wurde weithin gerühmt und er lehrte teilweise vor 250 Hörern aus ganz Europa; diese starke mathematische Schule prägt bis heute die Mathematik. Aus Anlass seines 200. Geburtstags am 31. Oktober 2015 haben internationale Experten der Mathematik und Mathematikgeschichte diesen Festband zusammengestellt, der einen Einblick in die Bedeutung von Weierstraß’ Werk bis zur heutigen Zeit gibt.Die Herausgeber des Buches sind leitende Wissenschaftler am Weierstraß-Institut für Angewandte Analysis und Stochastik in Berlin, die Autoren eminente Mathematikhistoriker.Table of ContentsDie prägenden Jahre im Leben von Karl Weierstraß (Jürgen Elstrodt).- Zur Biographie von Karl Weierstraß und zu einigen Aspekten seiner Mathematik (Reinhard Bölling).- Weierstraß und die Preußische Akademie der Wissenschaften (Eberhard Knobloch).- Karl Weierstraß and the theory of Abelian and elliptic functions (Peter Ullrich).- Building analytic function theory: Weierstraß's approach in lecture courses and papers (Umberto Bottazzini).- Monodromy and normal forms (Fabrizio Catanese).- Weierstraß' Approximation Theorem (1885) and his 1886 lecture course revisted (Reinhard Siegmund-Schultze).- Counterexamples in Weierstraß' Work (Tom Archibald).
£53.99
Springer Fachmedien Wiesbaden Algorithmen von Hammurapi bis Gödel: Mit
Book SynopsisDieses Buch bietet einen historisch orientierten Einstieg in die Algorithmik, also die Lehre von den Algorithmen, in Mathematik, Informatik und darüber hinaus. Besondere Merkmale und Zielsetzungen sind: Elementarität und Anschaulichkeit, die Berücksichtigung der historischen Entwicklung, Motivation der Begriffe und Verfahren anhand konkreter, aussagekräftiger Beispiele unter Einbezug moderner Werkzeuge (Computeralgebrasysteme, Internet). Als Zusatzmedien werden computer- und internetspezifische Interaktions- und Visualisierungsmöglichkeiten (kostenlos) zur Verfügung gestellt. Das Werk wendet sich an Studierende und Lehrende an Schulen und Hochschulen sowie an Nichtspezialisten, die an den Themen "Computer/Algorithmen/Programmierung" einschließlich ihrer historischen und geisteswissenschaftlichen Dimension interessiert sind.Table of ContentsEinleitung.- Begriffsbestimmungen.- Historische Bezüge.- Fundamentale heuristische Strategien des algorithmischen Problemlösens.- Effizienz von Algorithmen.- Korrektheit von Algorithmen, Korrektheit von Computerergebnissen.- Grenzen der Algorithmisierbarkeit, Grenzen des Computers.- Programmierung.- Informationstheorie, Codierung und Kryptographie.- Evolutionäre Algorithmen und neuronale Netze.
£26.59
Springer Moritz Schlick. Vorlesungen und Aufzeichnungen
Book SynopsisIn diesem Band sind die nachgelassenen Schriften Moritz Schlicks zur Logik und Philosophie der Mathematik gesammelt, ediert und kommentiert. Keine der zu Lebzeiten veröffentlichten Schriften Schlicks war ausschließlich diesen Themen gewidmet. Man sollte daraus jedoch nicht den Schluss zu ziehen, diese Themen hatten an der Peripherie von Schlicks Interesse gelegen. Überlegungen zur Logik und Mathematik ziehen sich durch Schlicks gesamtes Werk, von der Habilitation, über sein Opus Magnum, die Allgemeine Erkenntnislehre, bis zu seinen letzten stark von Ludwig Wittgenstein geprägten Aufsätzen in den 1930er Jahren. Es ist vielmehr so, dass Schlick Fragen der Logik und Mathematikphilosophie stets im Zusammenhang mit anderen Problemen sah und sie deshalb nie einzeln für sich behandelte. Ausnahmen machte er vor allem für Lehrveranstaltungen und so wundert es nicht, dass fast alle Texte dieses Bandes im Umkreis von solchen entstanden sind.Table of ContentsVorwort des Herausgebers.- Einleitung.- Die philosophischen Grundlagen der Mathematik.- Logik.- Logik.- Wahrscheinlichkeit.- Logik und Erkenntnistheorie.- Anhang.
£37.99
