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Algebra A Very Short Introduction
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Download or read book Algebra written by Peter M. Higgins and published by Oxford University Press, USA. This book was released on 2015 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction invites readers to revisit algebra and appreciate the elegance and power of equations and inequalities. Offering a clear explanation of algebra through theory and example, Higgins shows how equations lead to complex numbers, matrices, groups, rings, and fields.--
Book Synopsis Mathematics: A Very Short Introduction by : Timothy Gowers
Download or read book Mathematics: A Very Short Introduction written by Timothy Gowers and published by Oxford Paperbacks. This book was released on 2002-08-22 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.
Book Synopsis Numbers: A Very Short Introduction by : Peter M. Higgins
Download or read book Numbers: A Very Short Introduction written by Peter M. Higgins and published by Oxford University Press. This book was released on 2011-02-24 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.
Book Synopsis Symmetry: A Very Short Introduction by : Ian Stewart
Download or read book Symmetry: A Very Short Introduction written by Ian Stewart and published by OUP Oxford. This book was released on 2013-05-30 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book Topology written by Richard Earl and published by Oxford University Press, USA. This book was released on 2020-01-11 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: How is a subway map different from other maps? What makes a knot knotted? What makes the M�bius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics. In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book Number Theory written by Robin Wilson and published by Oxford University Press, USA. This book was released on 2020 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.
Book Synopsis The History of Mathematics: A Very Short Introduction by : Jacqueline Stedall
Download or read book The History of Mathematics: A Very Short Introduction written by Jacqueline Stedall and published by Oxford University Press. This book was released on 2012-02-23 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn from a range of times and places; including early imperial China, the medieval Islamic world, and nineteenth-century Britain.
Book Synopsis Applied Mathematics: A Very Short Introduction by : Alain Goriely
Download or read book Applied Mathematics: A Very Short Introduction written by Alain Goriely and published by Oxford University Press. This book was released on 2018-02-13 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an increasing important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Trigonometry: A Very Short Introduction by : Glen Van Brummelen
Download or read book Trigonometry: A Very Short Introduction written by Glen Van Brummelen and published by Oxford University Press. This book was released on 2020-01-23 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars". In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Algebra: A Very Short Introduction by : Peter M. Higgins
Download or read book Algebra: A Very Short Introduction written by Peter M. Higgins and published by OUP Oxford. This book was released on 2015-10-22 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very Short Introduction explains algebra from scratch. Over the course of ten logical chapters, Higgins offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, he renews the reader's aquaintance with school mathematics, before taking them progressively further and deeper into the subject. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Galileo: A Very Short Introduction by : Stillman Drake
Download or read book Galileo: A Very Short Introduction written by Stillman Drake and published by OUP Oxford. This book was released on 2001-02-22 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a startling reinterpretation of the evidence, Stillman Drake advances the hypothesis that Galileo's trial and condemnation by the Inquisition was caused not by his defiance of the Church, but by the hostility of contemporary philosophers. Galileo's own beautifully lucid arguments are used to show how his scientific method was utterly divorced from the Aristotelian approach to physics in that it was based on a search not for causes but for laws. Galileo's method was of overwhelming significance for the development of modern physics, and led to a final parting of the ways between science and philosophy. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Introduction to Algebra by : Peter J. Cameron
Download or read book Introduction to Algebra written by Peter J. Cameron and published by Oxford University Press, USA. This book was released on 2008 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.
Book Synopsis An Introduction to Algebraic Structures by : Joseph Landin
Download or read book An Introduction to Algebraic Structures written by Joseph Landin and published by Courier Corporation. This book was released on 2012-08-29 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Book Synopsis A Discourse Concerning Algebra by : Jacqueline A. Stedall
Download or read book A Discourse Concerning Algebra written by Jacqueline A. Stedall and published by Mathematics. This book was released on 2002 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Discourse Concerning Algebra, provides a new and readable account of the rise of algebra in England from the Medieval period to the later years of the 17th Century.Stedall's book follows the reception and dissemination of important algebraic ideas and methods from continental Europe and the consequent revolution in the state of English mathematics in the 17th century.
Book Synopsis Statistics: A Very Short Introduction by : David J. Hand
Download or read book Statistics: A Very Short Introduction written by David J. Hand and published by Oxford University Press. This book was released on 2008-10-23 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics has evolved into an exciting discipline which uses deep theory and powerful software to shed light on the world around us: from clinical trials in medicine, to economics, sociology, and countless other subjects vital to understanding modern life. This Very Short Introduction explores and explains how statistics works today.
Book Synopsis A Book of Abstract Algebra by : Charles C Pinter
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Book Synopsis Probability: A Very Short Introduction by : John Haigh
Download or read book Probability: A Very Short Introduction written by John Haigh and published by OUP Oxford. This book was released on 2012-04-26 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making good decisions under conditions of uncertainty - which is the norm - requires a sound appreciation of the way random chance works. As analysis and modelling of most aspects of the world, and all measurement, are necessarily imprecise and involve uncertainties of varying degrees, the understanding and management of probabilities is central to much work in the sciences and economics. In this Very Short Introduction, John Haigh introduces the ideas of probability and different philosophical approaches to probability, and gives a brief account of the history of development of probability theory, from Galileo and Pascal to Bayes, Laplace, Poisson, and Markov. He describes the basic probability distributions, and goes on to discuss a wide range of applications in science, economics, and a variety of other contexts such as games and betting. He concludes with an intriguing discussion of coincidences and some curious paradoxes. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
