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Author: Clive Newstead
Publisher: Math Dot Coffee Publishing
ISBN: 9781950215003
Category :
Languages : en
Pages :
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Book Description
This introductory undergraduate-level textbook covers the knowledge and skills required to study pure mathematics at an advanced level. Emphasis is placed on communicating mathematical ideas precisely and effectively. A wide range of topic areas are covered.
Author: Clive Newstead
Publisher: Math Dot Coffee Publishing
ISBN: 9781950215003
Category :
Languages : en
Pages :
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Book Description
This introductory undergraduate-level textbook covers the knowledge and skills required to study pure mathematics at an advanced level. Emphasis is placed on communicating mathematical ideas precisely and effectively. A wide range of topic areas are covered.
Author: Alexandre Borovik
Publisher:
ISBN: 9781783746996
Category : Mathematics
Languages : en
Pages : 398
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Book Description
Author: James Carlson
Publisher: American Mathematical Society, Clay Mathematics Institute
ISBN: 1470474603
Category : Mathematics
Languages : en
Pages : 185
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Book Description
On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.
Author: Kenneth Lange
Publisher: SIAM
ISBN: 1611976170
Category : Mathematics
Languages : en
Pages : 227
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Book Description
Algorithms are a dominant force in modern culture, and every indication is that they will become more pervasive, not less. The best algorithms are undergirded by beautiful mathematics. This text cuts across discipline boundaries to highlight some of the most famous and successful algorithms. Readers are exposed to the principles behind these examples and guided in assembling complex algorithms from simpler building blocks. Written in clear, instructive language within the constraints of mathematical rigor, Algorithms from THE BOOK includes a large number of classroom-tested exercises at the end of each chapter. The appendices cover background material often omitted from undergraduate courses. Most of the algorithm descriptions are accompanied by Julia code, an ideal language for scientific computing. This code is immediately available for experimentation. Algorithms from THE BOOK is aimed at first-year graduate and advanced undergraduate students. It will also serve as a convenient reference for professionals throughout the mathematical sciences, physical sciences, engineering, and the quantitative sectors of the biological and social sciences.
Author: Robert J. Bond
Publisher: Waveland Press
ISBN: 1478608056
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.
Author: Charles Williams
Publisher: Open Road Media
ISBN: 1504006631
Category : Fiction
Languages : en
Pages : 174
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Book Description
In this provocative, classic metaphysical thriller, a group of suburban amateur actors plagued by personal demons and terrors explore the pathways to heaven and hell Certain inhabitants of Battle Hill, a small community on the outskirts of London, are preparing to mount a new play by the neighborhood’s most illustrious resident, the writer Peter Stanhope. Each actor struggles with self-absorption, doubt, fear, and sin. But “the Hill” is not like other places. Here the past and present intermingle, ghosts walk among the living, and reality is often clouded by dreams and the dark fantastic. For young Pauline Anstruther, who is caring for an aging grandmother and frightened by the specter of a doppelgänger who gets closer with each visitation, the prospect of heaven exists in the renowned playwright’s willingness to bear the burden of her terror. For eminent historian Lawrence Wentworth, the rejection of his desire pulls him deeper inside himself, leaving him vulnerable to the lure of the succubus and opening wide the entrance to hell. A brilliant theological thriller, Descent into Hell is an extraordinary fictional meditation on sin and personal salvation by one of the twentieth century’s most original and provocative literary artists. Charles Williams, a member of the Inklings alongside fellow Oxfordians C. S. Lewis, J. R. R. Tolkien, and Owen Barfield, has written a powerful work at once profoundly disturbing and gloriously uplifting, an ingenious amalgam of metaphysics, religious thought, and darkest fantasy.
Author: David S. Gunderson
Publisher: Chapman & Hall/CRC
ISBN: 9781138199019
Category : Induction (Mathematics)
Languages : en
Pages : 921
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Book Description
Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.
Author: Robert Kaplan
Publisher: Bloomsbury Publishing USA
ISBN: 1608198693
Category : Mathematics
Languages : en
Pages : 417
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Book Description
Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.
Author: Ulrich Kohlenbach
Publisher: Springer Science & Business Media
ISBN: 3540775331
Category : Mathematics
Languages : en
Pages : 539
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Book Description
This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as – via extended case studies – carrying out some of these applications in full detail. This subject has historical roots in the 1950s. This book for the first time tells the whole story.
Author: Loren Graham
Publisher: Harvard University Press
ISBN: 0674032934
Category : Education
Languages : en
Pages : 252
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Book Description
The intellectual drama will attract readers who are interested in mystical religion and the foundations of mathematics. The personal drama will attract readers who are interested in a human tragedy with characters who met their fates with exceptional courage--Freeman Dyson.
