Mathematical problems (Mehr als 7.500 Ergebnisse)

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  • Sprache: Englisch

    Verlag: Dover Publications Inc., 2003

    0486284336 / 9780486284330

    Serie: Buch 42 von 303 - Dover Books on Mathematics

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    Paperback. Zustand: Good. If you've ever tried to solve mathematical problems without any idea how to go about it, this book is for you. It will improve your ability to solve all kinds of mathematical problems whether in mathematics, science, engineering, business, or purely recreational mathematical problems (puzzles, games, etc.). In the pages of this book you'll discover seven indispensable problem-solving techniques: inference, classification of action sequences, state evaluation and hill climbing, subgoals, contradiction, working backward and relations between problems. Based on modern advances in the fields of artificial intelligence and computer simulation of thought, the techniques are taught here by an effective problem-solving methodology. Dr. Wickelgren, formerly a Professor of Psychology at MIT and the University of Oregon, first defines a problem-solving method, then illustrates its application to simple recreational mathematics problems that require no more background than a year of high school algebra and a year of plane geometry. By devoting the majority of the book to such "puzzle" problems, which require less background and information than more advanced mathematics and science problems, the author reaches the widest possible audience. In the final chapter, however, Dr. Wickelgren deals with specific problems from mathematics, science, and engineering. Throughout the book, sample problems illustrate each method and the author has supplied hints and complete solutions. Carefully and clearly written, this indispensable guide will help students in every discipline avoid countless hours of frustration and wasted effort. It is an ideal book for early undergraduate courses in mathematics, physical science, engineering, computer science, economics and other fields that require problem solving. Preface. Introduction. References.Index. 73 line illustrations.…

  • Sprache: Englisch

    Verlag: Wiley, 1997

    0471176613 / 9780471176619

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  • Sprache: Englisch

    Verlag: Wiley, 1997

    0471176613 / 9780471176619

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  • Sprache: Englisch

    Verlag: Basic Books, 2003

    0465017304 / 9780465017300

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  • Sprache: Englisch

    Verlag: Wiley, 1997

    0471176613 / 9780471176619

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  • Sprache: Englisch

    Verlag: Wiley, 1997

    0471176613 / 9780471176619

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  • Sprache: Englisch

    Verlag: Wiley, 1994

    0471536563 / 9780471536567

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    Hardback. Zustand: Very Good. From the simple elegance of the Pythagorean theorem to the looking-glass world of Russell's Paradox and the summed infinities of integral calculus, experience the beauty and majesty of the mathematical universe. William Dunham, author of the popular Journey Through Genius, will give you a rare sampling of its joys. Writing in his trademark razor-sharp style, Dunham introduces a tantalizing selection of the great proofs, notorious disputes, and intriguing unsolved mysteries. Subjects range from the golden age of Greek geometry to the furthest frontier of infinite series. In chapters spanning the field from A to Z, discover the marvels of the Monte Carlo Method and the ancient riddle of Dido's Problem. Scale the heights of the Himalayas with famed surveyor Sir George Everest and puzzle over the fascinating conundrum of Fermat's Last Theorem. Dunham explores more than five thousand years of mathematical history, digging into the earliest records in Egypt, Babylon, India, and China, and turning up surprising tales and tidbits from modern times. All along the way, Dunham portrays the great masters of math at their work. In colorful anecdotes, the brilliant - often eccentric - luminaries chart the course of mathematical progress. Among them are the battling Bernoulli brothers, Jakob and Johann, who worked tirelessly to one-up each other's theorems; the famed Isaac Newton and largely forgotten Gottfried Wilhelm Leibniz, who independently and virtually simultaneously discovered the calculus; and the exceptionally determined genius Sofia Kovalevskaia, who discovered the rules of trigonometry for herself when she was left without instruction. Your passport to rich rewards, The MathematicalUniverse is accessible to any reader with a basic knowledge of algebra and geometry. You will come away from this exhilarating book with a keen sense of the power and splendor of the magical mathematical world.…

  • Sprache: Englisch

    Verlag: Wiley, 1994

    0471536563 / 9780471536567

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    Hardback. Zustand: Good. From the simple elegance of the Pythagorean theorem to the looking-glass world of Russell's Paradox and the summed infinities of integral calculus, experience the beauty and majesty of the mathematical universe. William Dunham, author of the popular Journey Through Genius, will give you a rare sampling of its joys. Writing in his trademark razor-sharp style, Dunham introduces a tantalizing selection of the great proofs, notorious disputes, and intriguing unsolved mysteries. Subjects range from the golden age of Greek geometry to the furthest frontier of infinite series. In chapters spanning the field from A to Z, discover the marvels of the Monte Carlo Method and the ancient riddle of Dido's Problem. Scale the heights of the Himalayas with famed surveyor Sir George Everest and puzzle over the fascinating conundrum of Fermat's Last Theorem. Dunham explores more than five thousand years of mathematical history, digging into the earliest records in Egypt, Babylon, India, and China, and turning up surprising tales and tidbits from modern times. All along the way, Dunham portrays the great masters of math at their work. In colorful anecdotes, the brilliant - often eccentric - luminaries chart the course of mathematical progress. Among them are the battling Bernoulli brothers, Jakob and Johann, who worked tirelessly to one-up each other's theorems; the famed Isaac Newton and largely forgotten Gottfried Wilhelm Leibniz, who independently and virtually simultaneously discovered the calculus; and the exceptionally determined genius Sofia Kovalevskaia, who discovered the rules of trigonometry for herself when she was left without instruction. Your passport to rich rewards, The MathematicalUniverse is accessible to any reader with a basic knowledge of algebra and geometry. You will come away from this exhilarating book with a keen sense of the power and splendor of the magical mathematical world. …

  • Sprache: Englisch

    Verlag: Wiley, 1994

    0471536563 / 9780471536567

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  • Sprache: Englisch

    Verlag: Basic Books, 2003

    0465017304 / 9780465017300

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  • Sprache: Englisch

    Verlag: Basic Books, 2003

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  • Sprache: Englisch

    Verlag: Dover Publications (edition Revised ed.), 1985

    0486249492 / 9780486249490

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  • Sprache: Englisch

    Verlag: Dover Publications Inc., 2003

    0486204936 / 9780486204932

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    Paperback. Zustand: Very Good. Virtually unobtainable for many years, these two books by Lewis Carroll (C. L. Dodgson) have now been reprinted in their entirety for the pleasure of modern enthusiasts of mathematical puzzles. Written by the 19th-century mathematician who gave us Alice in Wonderland and Through the Looking Glass, they contain an unusual combination of wit and mathematical intricacy that will test your mathematical ingenuity and provide hours of stimulating entertainment.Pillow-Problems is one of the rarest of all Lewis Carroll's works. It contains 72 mathematical posers ranging from those that can be solved by arithmetic, simple algebra, or plane geometry, to those that require more advanced algebra, trigonometry, algebraical geometry, differential calculus, and transcendental probabilities. Both numerical answers and fully worked out solutions are given, each in a separate section so that you can test your methods of problem-solving even after you have looked up the answer to a problem.In A Tangled Tale, Carroll embodies some of his most perplexing mathematical puzzles in the ten knots or chapters of a delightful story that has all the charm and wit of his better-known works. The Tale was originally printed as a monthly magazine serial, and many readers sent in solutions to the problems that were posed in it. In the long Appendix to The Tale, which contains the answers and solutions to the problems, Carroll uses the answers sent in by readers as the basis for illuminating and entertaining discussions of the many wrong ways in which the problems can be attacked, as well as the right ways.…

  • Sprache: Englisch

    Verlag: Basic Books, 2002

    0965619869 / 9780965619868

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  • Sprache: Englisch

    Verlag: Basic Books, 2013

    0465022405 / 9780465022403

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    Hardback. Zustand: Very Good. It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility. In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem--first posited in 1630, and finally solved by Andrew Wiles in 1995--led to the creation of algebraic number theory and complex analysis. The Poincare conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the "Holy Grail of pure mathematics," and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years. An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors--and how the enigmas of the past inevitably surrender to the powerful techniques of the present.…

  • Sprache: Englisch

    Verlag: Basic Books, 2013

    0465022405 / 9780465022403

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    Hardback. Zustand: Good. It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility. In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem--first posited in 1630, and finally solved by Andrew Wiles in 1995--led to the creation of algebraic number theory and complex analysis. The Poincare conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the "Holy Grail of pure mathematics," and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years. An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors--and how the enigmas of the past inevitably surrender to the powerful techniques of the present.…

  • Sprache: Englisch

    Verlag: Basic Books, 2013

    0465022405 / 9780465022403

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  • Sprache: Englisch

    Verlag: Basic Books (edition 1), 2013

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  • Sprache: Englisch

    Verlag: Basic Books (edition 1), 2014

    0465064892 / 9780465064892

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  • Sprache: Englisch

    Verlag: Basic Books, 2003

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  • Sprache: Englisch

    Verlag: Wiley, 1997

    0471176613 / 9780471176619

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  • Sprache: Englisch

    Verlag: Basic Books, 2003

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  • Sprache: Englisch

    Verlag: Key Curriculum (edition 2000), 2001

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    Verlag: Key Curriculum (edition 2000), 2001

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  • Sprache: Englisch

    Verlag: Basic Books, 2002

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  • Sprache: Englisch

    Verlag: Barnes & Noble, Inc., 2006

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    Verlag: Barnes & Noble, Inc., 2006

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  • Sprache: Englisch

    Verlag: Barnes & Noble, Inc. (edition ), 2006

    0760786593 / 9780760786598

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  • Sprache: Englisch

    Verlag: Wiley, 1994

    0471536563 / 9780471536567

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  • Sprache: Englisch

    Verlag: Basic Books, 2014

    0465064892 / 9780465064892

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