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- Dr. Euler's fabulous formula cures many mathematical ills. by Nahin, Paul J.(CARDINAL)765163;
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- Subjects: Numbers, Complex.; Euler's numbers.;
- Available copies: 1 / Total copies: 1
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- Dr. Euler's fabulous formula : cures many mathematical ills / by Nahin, Paul J.(CARDINAL)765163;
Includes bibliographical references (pages 347-374) and index.
- Subjects: Numbers, Complex.; Euler's numbers.; Mathematics;
- Available copies: 0 / Total copies: 1
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- Zero to infinity [videorecording] : a history of numbers / by Burger, Edward B.,1963-(CARDINAL)702196; Teaching Company.(CARDINAL)349444;
Director, Tom Dooley ; camera operators, Alexis Doty, Lonnie Anderson ; academic content supervisors, Marcy McDonald, Nancy Eskridge.Twenty-four lectures of thirty minutes each by Edward B. Burger, Professor of Mathematics in the Department of Mathematics and Statistics at Williams College.What is your definition of number? Defining the abstract idea of number is extremely difficult and today, we still struggle with the notion of what numbers mean. Numbers neither came to us fully formed in nature nor did they spring fully formed from the human mind. Like other ideas, they have evolved slowly throughout human history. Both practical and abstract, they are important in our everyday world but remain mysterious in our imaginations. If numbers are precision personified, why does a precise, accurate, and satisfying definition of number still elude us?DVD.
- Subjects: Educational films.; Lectures.; Video recordings.; Numerals; Numeration; Numbers, Real.; Numbers, Complex.; Numbers, Natural.; Numbers, Prime.; Numbers, Rational.; Irrational numbers.; Transcendental numbers.; Euler's numbers.;
- Available copies: 3 / Total copies: 3
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- A most elegant equation : Euler's formula and the beauty of mathematics / by Stipp, David.(CARDINAL)500283;
Includes bibliographical references and index.An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers. Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.
- Subjects: Euler, Leonhard, 1707-1783.; Mathematicians; Mathematics;
- Available copies: 3 / Total copies: 3
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- Number theory and its history / by Ore, Øystein,1899-1968.(CARDINAL)709162;
Includes bibliographical references (page 359d).This book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most books on number theory in two important ways: first, it presents the principal ideas and methods of number theory within a historical and cultural framework, making the subject more tangible and easily grasped. Second, the material requires substantially less mathematical background than many comparable texts. Technical complications and mathematical requirements have been kept to a minimum in order to make the book as accessible as possible to readers with limited mathematical knowledge. For the majority of the book, a basic knowledge of algebra will suffice. In developing the importance and meaning of number theory in the history of mathematics, Professor Ore documents the contributions of a host of history's greatest mathematicians: Diophantos, Euclid, Fibonacci, Euler, Fermat, Mersenne, Gauss, and many more, showing how these thinkers evolved the major outlines of number theory. Topics covered include counting and recording of numbers, the properties of numbers, prime numbers, the Aliquot parts, indeterminate problems, theory of linear indeterminate problems, Diophantine problems, congruences, analysis of congruences. Wilson's Theorem, Euler's theorem, theory of decimal expansions, the converse of Fermat's theorem, and the classical construction problems. Based on a course the author gave for a number of years at Yale, this book covers the essentials of number theory with a clarity and avoidance of abstruse mathematics that make it an ideal resource for undergraduates or for amateur mathematicians (who have historically contributed much to number theory). It has even been recommended for self-study by gifted high school students. -- from back cover.
- Subjects: Number theory.; Mathematics;
- Available copies: 1 / Total copies: 1
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- How to be a math genius: your brilliant brain and how to train it / by Goldsmith, Mike,1962-(CARDINAL)420964; Burnett, Seb.(CARDINAL)423910;
Math brain. Meet your brain -- Math skills --Learning math -- Brain vs. machine -- Problems with numbers -- Women and math -- Seeing the solution -- Inventing numbers. Learning to count -- Number systems -- Big zero -- Pythagoras -- Thinking outside the box -- Number patterns -- Calculation tips -- Archimedes -- Math that measures -- How big? How far? -- The size of the problem -- Magic numbers. Seeing sequences -- Pascal's triangle -- Magic squares -- Missing numbers -- Karl Gauss -- Infinity -- Numbers with meaning -- Number tricks -- Puzzling primes -- Shapes and space. Triangles -- Shaping up -- Shape shifting -- Round and round -- The third dimension -- 3-D shape puzzles -- 3-D fun -- Leonhard Euler -- Amazing mazes -- Optical illusions -- Impossible shapes -- A world of math. Interesting times -- Mapping -- Isaac Newton -- Probability -- Displaying data -- Logic puzzles and paradoxes -- Breaking codes -- Codes and ciphers -- Alan Turning -- Algebra -- Brainteasers -- Secrets of the universe -- The big quiz.
- Subjects: Mathematical recreations; Mathematics;
- Available copies: 1 / Total copies: 1
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- Train your brain to be a math genius / by Goldsmith, Mike,1962-(CARDINAL)420964; Burnett, Seb.(CARDINAL)423910;
A world of math -- Math brain. Meet your brain -- Math skills --Learning math -- Brain vs. machine -- Problems with numbers -- Women and math -- Seeing the solution -- Inventing numbers. Learning to count -- Number systems -- Big zero -- Pythagoras -- Thinking outside the box -- Number patterns -- Calculation tips -- Archimedes -- Math that measures -- How big? How far? -- The size of the problem -- Magic numbers. Seeing sequences -- Pascal's triangle -- Magic squares -- Missing numbers -- Karl Gauss -- Infinity -- Numbers with meaning -- Number tricks -- Puzzling primes -- Shapes and space. Triangles -- Shaping up -- Shape shifting -- Round and round -- The third dimension -- 3-D shape puzzles -- 3-D fun -- Leonhard Euler -- Amazing mazes -- Optical illusions -- Impossible shapes -- A world of math. Interesting times -- Mapping -- Isaac Newton -- Probability -- Displaying data -- Logic puzzles and paradoxes -- Breaking codes -- Codes and ciphers -- Alan Turing -- Algebra -- Brainteasers -- Secrets of the universe -- The big quiz.
- Subjects: Mathematical recreations; Mathematics;
- Available copies: 16 / Total copies: 17
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- Beautiful geometry / by Maor, Eli,author.; Jost, Eugen,1950-author.;
Includes bibliographical references (pages 183-184) and index.Thales of Miletus -- Triangles of Equal Area -- Quadrilaterals -- Perfect Numbers and Triangular Numbers -- The Pythagorean Theorem I -- The Pythagorean Theorem II -- Pythagorean Triples -- The Square Root of 2 -- A Repertoire of Means -- More about Means -- Two Theorems from Euclid -- Different, yet the Same -- One Theorem, Three Proofs -- The Prime Numbers -- Two Prime Mysteries -- 0.999 -- Eleven -- Euclidean Constructions -- Hexagons -- Fibonacci Numbers -- The Golden Ratio -- The Pentagon -- The 17-Sided Regular Polygon -- Fifty -- Doubling the Cube -- Squaring the Circle -- Archimedes Measures the Circle -- The Digit Hunters -- Conics -- 3/3 = 4/4 -- The Harmonic Series -- Ceva's Theorem -- e -- Spira Mirabilis -- The Cycloid -- Epicycloids and Hypocycloids -- The Euler Line -- Inversion -- Steiner's Porism -- Line Designs -- The French Connection -- The Audible Made Visible -- Lissajous Figures -- Symmetry I -- Symmetry II -- The Reuleaux Triangle -- Pick's Theorem -- Morley's Theorem -- The Snowflake Curve -- Sierpinski's Triangle -- Beyond Infinity -- Appendix: Proofs of Selected Theorems Mentioned in This Book."If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by acclaimed math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important and beautiful branches of mathematics"--
- Subjects: Geometry; Geometry; Geometry in art.;
- Available copies: 1 / Total copies: 1
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- The Riemann hypothesis : the greatest unsolved problem in mathematics / by Sabbagh, Karl.(CARDINAL)741272;
Includes bibliographical references (pages 321-330) and index.
- Subjects: Riemann, Bernhard, 1826-1866.; Numbers, Prime.; Number theory.; Mathematics.;
- Available copies: 1 / Total copies: 1
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- A quick history of math : from counting cavemen to computers / by Gifford, Clive,author.(CARDINAL)265470; Young, Michael(Illustrator),illustrator.;
Includes index.The Lebombo bone -- Keeping track -- Fingers and toes -- Home number -- Babylonian bases -- Count like an Egyptian -- Huh, thanks a million! -- Fractious about fractions -- Monumental math -- Those geometric Greeks -- Throwing shapes -- Easy as pi -- Living by numbers -- It's hip to be square -- Prove it! -- Who are EU...clid? -- In a relationship -- Paradoxes -- Prime time -- Eratosthenes vs. the earth -- The naked truth -- Roaming with the Romans -- The art of mathematics -- Magic squares -- Maya math -- Oh, Maya days -- Big fat zero -- Numbering up -- Thinking irrationally -- The house of wisdom -- Algebraaaargh! -- Spies and symmetry -- Math heads west -- Fab Fibonacci -- Exponential potential -- Jolly logarithms -- Pascal's patterns -- What are the chances? -- Stat attack! -- Clever Carl and the spread of stats -- The calculus wars -- Oi oi, Euler! -- Just my imagination -- Get set, go! -- Computers in skirts -- Brilliant binary -- Through the logic gate -- Machine math -- Big data -- Future math -- Timeline of math discoveries -- When math goes wrong ... -- Mental math."In chronological order from pre-history to present day, this is the story of maths itself. It's 43,000 years of human mathematical endeavor squeezed into one book for your reading pleasure. Illustrated with funny cartoons and packed with fascinating facts, you'll be laughing and learning how to be a better mathematician." --
- Subjects: Mathematics;
- Available copies: 2 / Total copies: 4
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