History of mathematics Books

Book SynopsisComprehensive and elegantly composed, this biography makes clear the scope of Arthur Cayley's prodigious achievements, firmly enshrining him as the Mathematician Laureate of the Victorian Age.Trade ReviewThe real subject of Crilly's monumental biography is the surrounding galaxy of British mathematicians and milieu in which they operated. Nature 2006 Fluid, readable style... Highly recommended. Choice 2006 This well-written biography... is full of shrewd observation and careful analysis. -- Jeremy Gray MAA Online 2006 First full-length account of Cayley's life... Anyone interested in the emerging role of the research mathematician in England will find Crilly's book particularly rewarding. American Scientist 2006 Crilly's book is a beautifully written account of Cayley's life and of British mathematics in the 19th century. -- David Singerman London Mathematical Society Newsletter 2007 I highly recommend Arthur Cayley: Mathematician Laureate of the Victorian Age as a valuable addition to one's personal or institutional library. There is everything to enjoy about this book: the writing, the content, the essential tribute to Cayley's life and contributions. -- Kathleen M. Clark Convergence 2007 The reader of Crilly's book will come away with an appreciation of the quality and breadth of Cayley's mathematical writings. -- Francine F. Abeles Isis 2007 A well-written and thorough account of its subject... a wealth of useful and well-researched information that is difficult to find elsewhere. -- Robin Wilson Historia Mathematica 2006 Recommended to those who are not specialists in mathematics and are interested in historico-cultural or social science aspects... An instructive book accessible to the reader. -- Karl-Neinz Schlote Mathematical Reviews 2008 A scholarly work of the highest quality. It should be in every university library, and I recommend it to all who wish to delve deeply into the life of Arthur Cayley. -- Henry E. Heatherly Mathematical Intelligencer 2008 [ Arthur Cayley] gives a broad picture of the developments in mathematics and society over the nineteenth century. -- Thomas Banchoff Victorian Studies 2009Table of ContentsAcknowldgmentsIntroductionChronologyGenealogyPart I. Growing Up, 1821-18431. Early Years2. A Cambridge Prodigy3. Coming of AgePart II. New Vistas, 1844-18494. A Mathematical Medly5. From a Fenland Base6. The Pupil BarristerPart III. A Rising Star, 1850-19627. Barrister-at-Law8. A Grand Design9. Without Portfolio10. The Road to AcademePart IV. The High Plateau, 1863-188211. The Mathematician Laureate12. Years of Challenge13. A Representative Man14. March On with Step SublimePart V. Make One Music as Before, 1882-189515. "A Tract of Beautiful Coutry"16. The Old Man of mathematics17. Last YearsAppendix AAppendix BAbbreviationsNotesBibliographyIndex

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Book SynopsisA New York Times Book Review Editors'' ChoiceWilkinson has accomplished something more moving and original, braiding his stumbling attempts to get better at math with his deepening awareness that there's an entire universe of understanding that will, in some fundamental sense, forever lie outside his reach. Jennifer Szalai, The New York Times There is almost no writer I admire as much as I do Alec Wilkinson. His work has enduring brilliance and humanity. Susan Orlean, author of The Library Book A spirited, metaphysical exploration into math''s deepest mysteries and conundrums at the crux of middle age.Decades after struggling to understand math as a boy, Alec Wilkinson decides to embark on a journey to learn it as a middle-aged man. What begins as a personal challengeand it''s challengingsoon transforms into something greater than a belabored effort to learn math. Despite his incompetence, Wilkinson enc

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Book SynopsisTrade Review"Infinitely fascinating…[Suri] succeeds in making slippery ideas easy to grasp." -- Stephen Bleach - Times [UK]"Some of the math books out there are difficult to read, but [The Big Bang of Numbers] isn’t one of them…[A]n elegant journey explaining why we have the number and math systems that we have." -- David Hu - Five Books"By limiting the formulas and equations, [Manil Suri] has created a very readable tour that emphasizes ideas over calculation." -- Physics Today"[The Big Bang of Numbers] explains how understanding math helps you understand the universe." -- Marketplace Tech"Imaginative and organized; [Suri] presents his materials clearly with nice graphics." -- Peter Pesic - Wall Street Journal"A beautifully written meditation on mathematics: whimsical, thought-provoking, and deep." -- Alex Bellos, author of Alex’s Adventures in Numberland"In The Big Bang of Numbers, Manil Suri invites the reader to create a universe made of mathematical ideas, sparking a thrill that may catch you off guard—an exhilarating sensation of playfulness, power, and insight." -- Steven Strogatz, New York Times bestselling author of Infinite Powers and The Joy of x"Who knew numbers could be so charming? So industrious? Suri takes us on a lighthearted journey all the way from nothing (zero) to infinity. Math has rarely been so readable." -- Karen Joy Fowler, New York Times bestselling author of We Are All Completely Beside Ourselves"A most unusual, creative, and fascinating account of mathematics that relies not on equations or formulas, but on real-life examples, metaphors, paradoxes, and lovely vignettes." -- John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper"A great sneak peek ahead for anyone interested in mathematical ideas, but bored by the lack of conceptual depth in their introductory math classes." -- Mathematical Association of America"A visual pleasure to read…[Manil Suri] is a smooth, stylish writer." -- Business Standard"[Suri] successfully explores many areas of seemingly pure math that explain the natural world... He also sheds light on abstruse subjects (fractals, infinity, curved space) that puzzle humans more than they should, creating a text that is deeper than most popular writing on math but worth the effort. A successful contribution to the math-isn’t-boring genre." -- Kirkus Reviews"Suri takes on the challenge of developing mathematics from scratch in this high concept thought experiment." -- Publishers Weekly

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Book SynopsisAlong the way, he tells us what various cultures knew about math and how they came to learn it, providing instructors with a wonderful way to incorporate multicultural mathematics into the middle school, high school, and college classroom.Trade ReviewSwetz has collected word problems, or story problems, used to teach mathematics around the world and throughout history, so mathematics teachers in middle and secondary schools can use them today. University students of mathematics and its history might also find them useful as well as entertaining. Reference and Research Book News Mathematical Expeditions is a wonderful resource for any teacher who would like to use old problems in a course to help students understand the context of mathematical ideas. -- Victor J. Katz Mathematical Reviews The book is well thought-out and is recommended to readers interested in the history of mathematics. -- E. Keith Lloyd London Mathematical Society Newsletter One of my graduate students, who is majoring in mathematics, was excited when I showed her a sample of problems in the book. A month later, she asked whether I had finished my review-she wanted to borrow the book! -- Winifred A. Mallam Mathematics TeacherTable of ContentsPreface1. Word Problems: Footprints from the History of Mathematics2. Problems, Problems: A Resource for Teaching3. Ancient Babylonia (2002–1000 BCE)4. Ancient Egypt5. Ancient Greece6. Ancient China7. India8. Islam9. Medieval Europe10. Renaissance Europe11. Japanese Temple Problems12. The Ladies Diary (1704–1841)13. Nineteenth-Century Victorian Problems14. Eighteenth- and Nineteenth-Century American Problems15. Problems from the Farmer's Almanac16. Nineteenth-Century Calculus Problems17. Some Sample Problem Solution Methods18. Where to from Here? Where Do You Want to Go?AcknowledgmentsAnswers to Numbered ProblemsGlossary of Strange and Exotic Terms: Measurements, Monetary Units, and Culturally Relevant WordsBibliographyIndex

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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

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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

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Book SynopsisProvides a framework for understanding algebra and related fields. In this book, students will discover why mathematics is such a crucial part not only of civilization but also of everyday life.Trade ReviewThis book approaches the teaching of algebra to first year undergraduate students with a unique use of the art's history and development. Students that have already encountered many of these topics in a traditional format in high school or college may find this engaging framework a boon to understanding. Mathematical Association of America The book is well organized and thorough. The authors take a conglomeration of discoveries and inventions over three millennia and present them in an ordered, coherent manner. Mathematic TeacherTable of ContentsPrefaceIntroductionPart I1. Number Bases1.1. Base 61.2. Base 42. Babylonian Number System2.1. Cuneiform2.2. Mathematical Texts2.3. Number System3. Egyptian and Roman Number Systems3.1. Egyptian3.1.1. History3.1.2. Writing and Mathematics3.1.3. Number System3.2. Roman3.2.1. History3.2.2. Number System4. Chinese Number System4.1. History and Mathematics4.2. Rod Numerals5. Mayan Number System5.1. Calendar5.2. Codices5.3. Number System5.4. Native North Americans6. Indo-Arabic Number System6.1. India6.1.1. History6.1.2. Mathematics6.2. The Middle East6.2.1. History6.2.2. Mathematics6.3. Number System6.3.1. Whole Numbers6.3.2. Fractions7. ExercisesPart II8. Addition and Subtraction9. Multiplication9.1. Roman Abacus9.2. Grating or Lattice Method9.3. Ibn Labban and Chinese Counting Board9.4. Egyptian Doubling Method10. Division10.1. Egyptian10.2. Leonardo of Pisa10.3. Galley or Scratch Method11. Casting Out Nines12. Finding Square Roots12.1. Heron of Alexandria12.2. Theon of Alexandria12.3. Bakhshali Manuscript12.4. Nicolas Chuquet13. ExercisesPart III14. Sets14.1. Set Relations14.2. Finding 2n14.3. One-to-One Correspondence and Cardinality15. Rational, Irrational, and Real Numbers15.1. Commensurable and Incommensurable Magnitudes15.2. Rational Numbers15.3. Irrational Numbers15.4. I Is Uncountably Infinite15.5. card(Q), card(I), and card(R)15.6. Transfinite Numbers16. Logic17. The Higher Arithmetic17.1. Early Greek Elementary Number Theory17.1.1. Pythagoras17.1.2. Euclid17.1.3. Nicomachus and Diophantus17.2. Even and Odd Numbers17.3. Figurate Numbers17.3.1. Triangular Numbers17.3.2. Square Numbers17.3.3. Rectangular Numbers17.3.4. Other Figurate Numbers17.4. Pythagorean Triples17.5. Divisors, Common Factors, and Common Multiples17.5.1. Factors and Multiples17.5.2. Euclid's Algorithm17.5.3. Multiples17.6. Prime Numbers17.6.1. The Sieve of Eratosthenes17.6.2. The Fundamental Theorem of Arithmetic17.6.3. Perfect Numbers17.6.4. Friendly Numbers18. ExercisesPart IV19. Linear Problems19.1. Review of Linear Equations19.2. False Position19.3. Double False Position20. Quadratic Problems20.1. Solving Quadratic Equations by Completing the Square20.1.1. Babylonian201.2. Arabic201.3. Indian20.1.4. The Quadratic Formula20.2. Polynomial Equations in One Variable20.2.1. Powers20.2.2. nth Roots20.3. Continued Fractions20.3.1. Finite Simple Continued Fractions20.3.2. Infinite Simple Continued Fractions20.3.3. The Number21. Cubic Equations and Complex Numbers21.1. Complex Numbers21.2. Solving Cubic Equations and the Cubic Formula22. Polynomial EquationsRelation between Roots and CoefficientsViète and Harriot22.3. Zeros of a Polynomial22.3.1. Factoring22.3.2. Descartes's Rule of Signs22.4. The Fundamental Theorem of Algebra23. Rule of Three23.1. China23.2. India23.3. Medieval Europe23.4. The Rule of Three in False Position23.5. Direct Variation, Inverse Variation, and Modeling24. Logarithms24.1. Logarithms Today24.2. Properties of Logarithms24.3. Bases of a Logarithm24.3.1. Using a Calculator24.3.2. Comparing Logarithms24.4. Logarithm to the Base e and Applications24.4.1. Compound Interest24.4.2. Amortization24.4.3. Exponential Growth and Decay24.5. Logarithm to the Base 10 and Application to Earthquakes25. ExercisesBibliographyIndex

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Book SynopsisCalculus in Context is a compelling exploration-for students and instructors alike-of a discipline that is both rich in conceptual beauty and broad in its applied relevance.Trade ReviewThe depth of detail in each application [offered by Calculus in Context] provides an excellent structure for guiding students through the “why should we care” moments that every calculus class experiences.—Mathematical Association of AmericaRecommended.—ChoiceHahn's book is the perfect choice for college and university teachers who want to teach calculus with reference to its origins and applications.—Zentralblatt MathVery well written in an engaging and enthusiastic style: it is very suitable for first year students, is perhaps not too demanding for students about to enter university, and it is particularly useful to those with more than a passing interest in astronomy. There is plenty to learn for the reader, and the massive text is also a good reference book on calculus. This labour of love from the author more than satisfies the high hopes for a good calculus book... and I highly recommend it.—Peter Shiu, Mathematical GazetteTable of ContentsPrefacePart I1. The Astronomy and Geometry of the Greeks1.1. The Greeks Explain the Universe1.2. Achieving the Impossible?1.3. Greek Geometry1.4. The Pythagorean Theorem1.5. The Radian Measure of an Angle1.6. Greek Trigonometry1.7. Aristarchus Sizes Up the Universe1.8. Problems and Projects2. The Genius of Archimedes2.1. The Conic Sections2.2. The Question of Area2.3. Playing with Squares2.4. The Area of a Parabolic Section2.5. The Method of Archimedes2.6. Problems and Projects3. A New Astronomy3.1. A Fixed Sun at the Center3.2. Copernicus's Model of Earth's Orbit3.3. About the Distances of the Planets from the Sun3.4. Tycho Brahe and Parallax3.5. Kepler's Elliptical Orbits3.6. The Studies of Galileo3.7. The Size of the Solar System3.8. Problems and Projects4. The Coordinate Geometry of Descartes4.1. The Real Numbers4.2. The Coordinate Plane4.3. About the Parabola4.4. About the Ellipse4.5. Quadratic Equations in x and y4.6. Circles and Trigonometry4.7. Problems and Projects5. The Calculus of Leibniz5.1. Straight Lines5.2. Tangent Lines to Curves5.3. The Function Concept5.4. The Derivative of a Function5.5. Fermat, Kepler, and Wine Barrels5.6. The Definite Integral5.7. Cavalieri's Principle5.8. Differentials and the Fundamental Theorem5.9. Volumes of Revolution5.10. Problems and Projects6. The Calculus of Newton6.1. Simple Functions and Areas6.2. The Derivative of a Simple Function6.3. From Simple Functions to Power Series6.4. The Mathematics of a Moving Point6.5. Galileo and Acceleration6.6. Dealing with Forces6.7. The Trajectory of a Projectile6.8. Newton Studies the Motion of the Planets6.9. Connecting Force and Geometry6.10. The Law of Universal Gravitation6.11. Problems and ProjectsPart II7. Differential Calculus7.1. Mathematical Functions7.2. A Study of Limits7.3. Continuous Functions7.4. Differentiable Functions7.5. Computing Derivatives7.6. Some Theoretical Concerns7.7. Derivatives of Trigonometric Functions7.8. Understanding Functions7.9. Graphing Functions7.10. Exponential Functions7.11. Logarithm Functions7.12. Hyperbolic Functions7.13. Final Comments about Graphs7.14. Problems and Projects8. Applications of Differential Calculus8.1. Derivatives as Rates of Change8.1.1. Growth of Organisms8.1.2. Radioactive Decay8.1.3. Cost of Production8.2. The Pulley Problem of L'Hospital8.2.1. The Solution Using Calculus8.2.2. The Solution by Balancing Forces8.3. The Suspension Bridge8.4. An Experiment of Galileo8.4.1. Sliding Ice Cubes and Spinning Wheels8.4.2. Torque and Rotational Inertia8.4.3. The Mathematics behind Galileo's Experiment8.5. From Fermat's Principle to the Reflecting Telescope8.5.1. Fermat's Principle and the Reflection of Light8.5.2. The Refraction of Light8.5.3. About Lenses8.5.4. Refracting and Reflecting Telescopes8.6. Problems and Projects9. The Basics of Integral Calculus9.1. The Definite Integral of a Function9.2. Volume and the Definite Integral9.3. Lengths of Curves and the Definite Integral9.4. Surface Area and the Definite Integral9.5. The Definite Integral and the Fundamental Theorem9.6. Area as Antiderivative9.7. Finding Antiderivatives9.7.1. Integration by Substitution9.7.2. Integration by Parts9.7.3. Some Algebraic Moves9.8. Inverse Functions9.9. Inverse Trigonometric and Hyperbolic Functions9.9.1. Trigonometric Inverses9.9.2. Hyperbolic Inverses9.10. Trigonometric and Hyperbolic Substitutions9.11. Some Integral Formulas9.12. The Trapezoidal and Simpson Rules9.13. One Loop of the Sine Curve9.14. Problems and Projects10. Applications of Integral Calculus10.1. Estimating the Weight of Domes10.1.1. The Hagia Sophia10.1.2. The Roman Pantheon10.2. The Cables of a Suspension Bridge10.3. From Pocket Watch to Pseudosphere10.3.1. Volume and Surface Area of Revolution of the Tractrix10.3.2. The Pseudosphere10.4. Calculating the Motion of a Planet10.4.1. Determining Position in Terms of Time10.4.2. Determining Speed and Direction10.4.3. Earth, Jupiter, and Halley10.5. Integral Calculus and the Action of Forces10.5.1. Work and Energy, Impulse and Momentum10.5.2. Analysis of Springs10.5.3. The Force in a Gun Barrel10.5.4. The Springfield Rifle10.6. Problems and Projects11. Basics of Differential Equations11.1. First-Order Separable Differential Equations11.2. The Method of Integrating Factors11.3. Direction Fields and Euler's Method11.4. The Polar Coordinate System11.5. The Complex Plane11.6. Second-Order Differential Equations11.7. The Basics of Power Series11.8. Taylor and Maclaurin Series11.9. Solving a Second-Order Differential Equation11.10. Free Fall with Air Resistance11.10.1. Going Up11.10.2. Coming Down11.10.3. Bullets and Ping-Pong Balls11.11. Systems with Springs and Damping Elements11.11.1. The Family Sedan and the Stock Car11.12. More about Hanging Cables11.13. Problems and Projects12. Polar Calculus and Newton's Planetary Orbits12.1. Graphing Polar Equations12.2. The Conic Sections in Polar Coordinates12.3. The Derivative of a Polar Function12.4. The Lengths of Polar Curves12.5. Areas in Polar Coordinates12.6. Equiangular Spirals12.7. Centripetal Force in Cartesian Coordinates12.8. Going Polar12.9. From Conic Section to Inverse Square Law and Back Again12.10. Gravity and Geometry12.11. Spiral Galaxies12.12. Problems and ProjectsReferencesImage Credits and NotesIndex

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Book SynopsisIn a series of 50 accessible essays, Tony Crilly explains and introduces the mathematical laws and principles - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand the world around us.From Pascal's triangle to money management, ideas of relativity to the very real uses of imaginary numbers, 50 Math Ideas is a complete introduction to the most important mathematical concepts in history.

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Book SynopsisThe past becomes a source of wisdom when the scientific quest for uncovering the roots of things is combined with the humanistic endeavor to make the dead letter come alive in a thoughtful mind. Vague attempts at being “interdisciplinary,” by contrast, merely provide excuses to avoid examining the words set down by the scientific thinkers themselves. If we love wisdom in its wholeness, we must explore the sources of the things that we now take for granted: we must think through the records of the thinking that has demarcated the various fields of study and envisioned what’s to be investigated within them and how it’s to be done. But where shall we start looking for points of view to help us consider what learning is, and what learning has to do with how we live within our world? We couldn’t do better than to climb the two peaks that constitute the subject of this book. these are the classical geometry in which Apollonius presented the conic sections, and that modern transformation over which Descartes presided at its inception. In this effort, a useful link between our two primary texts is provided by examining some work done by Diophantus, by Pappus, and by Viète. While the study of these writings is a formidable enterprise indeed, the two volumes of Insights and Manipulations, offering clear guidance and abundant help, greatly alleviate the requisite labor.

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Book SynopsisAnalyzes the combination of art and science contained within Leonardo da Vinci''s work, such as his usage of the "golden mean," the mathematical concept that is key to understanding the link between art and nature.

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Book SynopsisTo meet William Morgan is to encounter the eighteenth-century world of finance, science and politics. Born in Bridgend in 1750, his heritage was Welsh but his influence extended far beyond national borders, and the legacy of his work continues to shape life in the twenty-first century. Aged only twenty-five and with no formal training, Morgan became actuary at the Equitable, which was then a fledgling life assurance company. Known today as 'the father of actuarial science', his pioneering work earned him the Copley Medal, the Royal Society's most prestigious award. His interests covered a wider scientific field, and his papers on electrical experiments show that he unwittingly constructed the first X-ray tube. Politically radical, Morgan's outspoken views put him at risk of imprisonment during Pitt's Reign of Terror. Using unpublished family letters, this biography explores Morgan's turbulent private life, and cover his outstanding public achievements.Table of ContentsAcknowledgements List of Illustrations William Morgan Family Tree Prologue Chapter 1: Bridgend Chapter 2: Newington Green Chapter 3: Blackfriars Chapter 4: 1780 - Flaming June Chapter 5: At War Chapter 6: A Beautiful Green Light Chapter 7: Risk and Reward Chapter 8: Verbal Fisticuffs Chapter 9: Stamford Hill Chapter 10: A Stupendous Event Chapter 11: Bushill Fields Chapter 12: A Radical Friend Chapter 13: A Trumpet of Liberty Chapter 14: Trial for High Treason Chapter 15: Pitt's Gagging Acts Chapter 16: Invasion, Panic and Mutiny Chapter 17: The Reign of Terror Chapter 18: Diaspora Chapter 19: The Price of Success Chapter 20: Family, Celebrations and Calamities Chapter 21: A Costly Peace Chapter 22: Rise, Progress, Misrepresentation Chapter 23: A Fragment Chapter 24: Final Years Chapter 25: Afterwards Chapter 26: Epilogue Bibliography

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