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Book Synopsis Algebra in Context by : Amy Shell-Gellasch
Download or read book Algebra in Context written by Amy Shell-Gellasch and published by JHU Press. This book was released on 2015-10-15 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations
Book Synopsis Euclid's Elements by : Richard Fitzpatrick
Download or read book Euclid's Elements written by Richard Fitzpatrick and published by Lulu.com. This book was released on 2007-12-01 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements of Geometry, with Greek and English texts in side-by-side columns.
Book Synopsis Pure Mathematics by : Leslie Leland Locke
Download or read book Pure Mathematics written by Leslie Leland Locke and published by . This book was released on 1909 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Science-history of the Universe by : Francis Rolt-Wheeler
Download or read book The Science-history of the Universe written by Francis Rolt-Wheeler and published by . This book was released on 1909 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The First Six and the Eleventh and Twelfth Books of Euclid's Elements; with Notes and Illustrations, and an Appendix in Five Books. By James Thomson, LL.D. by :
Download or read book The First Six and the Eleventh and Twelfth Books of Euclid's Elements; with Notes and Illustrations, and an Appendix in Five Books. By James Thomson, LL.D. written by and published by . This book was released on 1834 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Appendix to the English Translation of Commandine's Euclid; by : Euclid
Download or read book An Appendix to the English Translation of Commandine's Euclid; written by Euclid and published by . This book was released on 1725 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Mathematics to Generic Programming by : Alexander A. Stepanov
Download or read book From Mathematics to Generic Programming written by Alexander A. Stepanov and published by Addison-Wesley Professional. This book was released on 2014-11-13 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll also gain deep insight into the value of mathematics to programming—insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it Powerful mathematical approaches to abstraction How abstract algebra provides the idea at the heart of generic programming Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures Surprising subtleties of simple programming tasks and what you can learn from them How practical implementations can exploit theoretical knowledge
Book Synopsis Delphi Collected Works of Euclid (Illustrated) by : Euclid
Download or read book Delphi Collected Works of Euclid (Illustrated) written by Euclid and published by Delphi Classics. This book was released on 2017-07-17 with total page 1793 pages. Available in PDF, EPUB and Kindle. Book excerpt: The father of geometry, Euclid was a Greek mathematician active in Alexandria during the reign of Ptolemy I (323-283 BC). His treatise on geometry, ‘Elements’, is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics from the time of its first publication until the early twentieth century. In the ‘Elements’, Euclid deduces the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid compiled his treatise from a number of works of earlier mathematicians including Pythagoras, Hippocrates of Chios and Eudoxus of Cnidus, preserving many otherwise lost ideas. One of the very earliest mathematical works to be printed after the invention of the printing press, it has been estimated that ‘Elements’ is second only to the Bible in the number of editions published. Delphi’s Ancient Classics series provides eReaders with the wisdom of the Classical world, with both English translations and the original Greek texts. This comprehensive eBook presents Euclid’s collected (almost complete) works, with illustrations, informative introductions and the usual Delphi bonus material. (Version 1)* Beautifully illustrated with images relating to Euclid's life and works * Features the collected works of Euclid in English translation * Includes the original Greek text of ‘Elements’ * Includes Thomas Heath’s seminal translation of ‘Elements’ for Cambridge University Press * Excellent formatting of the texts * Includes Euclid's rare work ‘Optics’, first time in digital print * Features a bonus biography — discover Euclid's ancient world * Scholarly ordering of texts into chronological order and literary genresPlease visit www.delphiclassics.com to explore our range of Ancient Classics titles or buy the entire series as a Super SetCONTENTS:The Translations Elements (translated by Thomas Heath) Data (translated by Robert Simson) On Divisions of Figures (translated by Raymond Clare Archibald) Optics (translated by Harry Edwin Burton)The Greek Text ElementsThe Biography Euclid by John Sturgeon MackayPlease visit www.delphiclassics.com to browse through our range of exciting titles
Book Synopsis The Elements of Euclid, with Dissertations ... by : Euclid
Download or read book The Elements of Euclid, with Dissertations ... written by Euclid and published by . This book was released on 1788 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Moment Problem by : Konrad Schmüdgen
Download or read book The Moment Problem written by Konrad Schmüdgen and published by Springer. This book was released on 2017-11-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments. In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods are developed in detail and accompanied by numerous examples and exercises. Particular attention is given to powerful modern techniques such as real algebraic geometry and Hilbert space operators. A wide range of important aspects are covered, including the Nevanlinna parametrization for indeterminate moment problems, canonical and principal measures for truncated moment problems, the interplay between Positivstellensätze and moment problems on semi-algebraic sets, the fibre theorem, multidimensional determinacy theory, operator-theoretic approaches, and the existence theory and important special topics of multidimensional truncated moment problems. The Moment Problem will be particularly useful to graduate students and researchers working on moment problems, functional analysis, complex analysis, harmonic analysis, real algebraic geometry, polynomial optimization, or systems theory. With notes providing useful background information and exercises of varying difficulty illustrating the theory, this book will also serve as a reference on the subject and can be used for self-study.
Book Synopsis Books 10-13 and appendix by : Euclid
Download or read book Books 10-13 and appendix written by Euclid and published by . This book was released on 1908 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Feynman-Kac-Type Formulae and Gibbs Measures by : József Lörinczi
Download or read book Feynman-Kac-Type Formulae and Gibbs Measures written by József Lörinczi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-01-20 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures.
Book Synopsis The Elements of Euclid. With Dissertations ... by James Williamson by :
Download or read book The Elements of Euclid. With Dissertations ... by James Williamson written by and published by . This book was released on 1788 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Plane and Solid Geometry by : Henry William Watson
Download or read book The Elements of Plane and Solid Geometry written by Henry William Watson and published by . This book was released on 1872 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Plane and Solid Geometry by : H. W. Watson
Download or read book The Elements of Plane and Solid Geometry written by H. W. Watson and published by BoD – Books on Demand. This book was released on 2023-01-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
Book Synopsis Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$ by : Matthew Bainbridge
Download or read book Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $mathcal {H}(1,1)$ written by Matthew Bainbridge and published by American Mathematical Society. This book was released on 2022-11-10 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Differentiable Measures and the Malliavin Calculus by : Vladimir Igorevich Bogachev
Download or read book Differentiable Measures and the Malliavin Calculus written by Vladimir Igorevich Bogachev and published by American Mathematical Soc.. This book was released on 2010-07-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of measures with respect to Lebesgue measure. In the infinite dimensional case new phenomena arise. For the first time a detailed account is given of the theory of differentiable measures, initiated by S. V. Fomin in the 1960s; since then the method has found many various important applications. Differentiable properties are described for diverse concrete classes of measures arising in applications, for example, Gaussian, convex, stable, Gibbsian, and for distributions of random processes. Sobolev classes for measures on finite and infinite dimensional spaces are discussed in detail. Finally, we present the main ideas and results of the Malliavin calculus--a powerful method to study smoothness properties of the distributions of nonlinear functionals on infinite dimensional spaces with measures. The target readership includes mathematicians and physicists whose research is related to measures on infinite dimensional spaces, distributions of random processes, and differential equations in infinite dimensional spaces. The book includes an extensive bibliography on the subject.