Book picks similar to
Trigonometry: A Very Short Introduction by Glen van Brummelen


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Differential Geometry


Erwin Kreyszig - 1991
    With problems and solutions. Includes 99 illustrations.

The Calculus With Analytic Geometry


Louis Leithold - 1982
    

Darwin: A Very Short Introduction


Jonathan Howard - 1982
    Arguments still rage about the implications of his evolutionary theory, and scepticism about the value of Darwin's contribution to knowledge is widespread. In this analysis of Darwin's major insights and arguments, Jonathan Howard reasserts the importance of Darwin's work for the development of modern science and culture."--BOOK JACKET.

Complexity: A Very Short Introduction


John H. Holland - 2014
    From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential over the last 30 years.In this Very Short Introduction, one of the leading figures in the field, John Holland, introduces the key elements and conceptual framework of complexity. From complex physical systems such as fluid flow and the difficulties of predicting weather, to complex adaptive systems such as the highly diverse and interdependent ecosystems of rainforests, he combines simple, well-known examples -- Adam Smith's pin factory, Darwin's comet orchid, and Simon's 'watchmaker' -- with an account of the approaches, involving agents and urn models, taken by complexity 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.

Solutions and Problems


Virgil Moring Faires
    

The Ice Age: A Very Short Introduction


Jamie Woodward - 2014
    The Ice Age: A Very Short Introduction looks at evidence from the continents, the oceans, and the ice core records, and the human stories behind it all. Jamie Woodward examines the remarkable environmental shifts that took place during the Great Ice Age of the Quaternary Period. He explores the evolution of ideas, evaluates the contributions of the leading players in the great debates, and presents some of the ingenious methods that have been used to retrieve information about the recent geological past.In an era of warming climate, the study of the ice age past is now more important than ever. This book examines the wonders of the Quaternary ice age - to show how ice age landscapes and ecosystems were repeatedly and rapidly transformed as plants, animals, and humans reorganized their worlds.About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.#380

The U.S. Supreme Court: A Very Short Introduction


Linda Greenhouse - 2012
    Supreme Court and its justices as a correspondent for the New York Times. In this Very Short Introduction, she draws on her deep knowledge of the court's history and of its written and unwritten rules to show readers how the Supreme Court really works.Greenhouse offers a fascinating institutional biography of a place and its people--men and women who exercise great power but whose names and faces are unrecognized by many Americans and whose work often appears cloaked in mystery. How do cases get to the Supreme Court? How do the justices go about deciding them? What special role does the chief justice play? What do the law clerks do? How does the court relate to the other branches of government? Greenhouse answers these questions by depicting the justices as they confront deep constitutional issues or wrestle with the meaning of confusing federal statutes. Throughout, the author examines many individual Supreme Court cases to illustrate points under discussion, ranging from Marbury v. Madison, the seminal case which established judicial review, to the recent District of Columbia v. Heller (2008), which struck down the District of Columbia's gun-control statute and which was, surprisingly, the first time in its history that the Court issued an authoritative interpretation of the Second Amendment. To add perspective, Greenhouse also compares the Court to foreign courts, revealing interesting differences. For instance, no other country in the world has chosen to bestow life tenure on its judges.A superb overview packed with telling details, this volume offers a matchless introduction to one of the pillars of American government.

Essentials of Econometrics


Damodar N. Gujarati - 1998
    This text provides a simple and straightforward introduction to econometrics for the beginner. The book is designed to help students understand econometric techniques through extensive examples, careful explanations, and a wide variety of problem material. In each of the editions, I have tried to incorporate major developments in the field in an intuitive and informative way without resort to matrix algebra, calculus, or statistics beyond the introductory level. The fourth edition continues that tradition.

Astrophysics: A Very Short Introduction


James Binney - 2016
    It enables us to understand the structure and evolution of planetary systems, stars, galaxies, interstellar gas, and the cosmos as a whole.In this Very Short Introduction, the leading astrophysicist James Binney shows how the field of astrophysics has expanded rapidly in the past century, with vast quantities of data gathered by telescopes exploiting all parts of the electromagnetic spectrum, combined with the rapid advance of computing power, which has allowed increasingly effective mathematical modelling. He illustrates how the application of fundamental principles of physics - the consideration of energy and mass, and momentum - and the two pillars of relativity and quantum mechanics, has provided insights into phenomena ranging from rapidly spinning millisecond pulsars to the collision of giant spiral galaxies. This is a clear, rigorous introduction to astrophysics for those keen to cut their teeth on a conceptual treatment involving some mathematics.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

Godel: A Life Of Logic, The Mind, And Mathematics


John L. Casti - 2000
    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

Stars: A Very Short Introduction


Andrew R. King - 2012
    In this lively and compact introduction, astrophysicist Andrew King reveals how the laws of physics force stars to evolve, driving them through successive stages of maturity before their inevitable and sometimes spectacular deaths, to end as remnants such as black holes. The book shows how we know what stars are made of, how gravity forces stars like the Sun to shine by transmuting hydrogen into helium in their centers, and why this stage is so long-lived and stable. Eventually the star ends its life in one of just three ways, and much of its enriched chemical content is blasted into space in its death throes. Every dead star is far smaller and denser than when it began, and we see how astronomers can detect these stellar corpses as pulsars and black holes and other exotic objects. King also shows how astronomers now use stars to measure properties of the Universe, such as its expansion. Finally, the book asks how it is that stars form in the first place, and how they re-form out of the debris left by stars already dead. These birth events must also be what made planets, not only in our solar system, but around a large fraction of all stars.

Elliptic Tales: Curves, Counting, and Number Theory


Avner Ash - 2012
    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

Elementary Number Theory and Its Applications


Kenneth H. Rosen - 1984
    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

American Legends: The Life of Doris Day


Charles River Editors - 2013
    *Includes Day's quotes about her life and career. *Includes a bibliography for further reading. *Includes a table of contents. “I’ve been through everything. I always said I was like those round-bottomed circus dolls — you know, those dolls you could push down and they’d come back up? I’ve always been like that. I’ve always said, ‘No matter what happens, if I get pushed down, I’m going to come right back up.’” – Doris Day A lot of ink has been spilled covering the lives of history’s most influential figures, but how much of the forest is lost for the trees? In Charles River Editors’ American Legends series, readers can get caught up to speed on the lives of America’s most important men and women in the time it takes to finish a commute, while learning interesting facts long forgotten or never known. It goes without saying that few people have a career spanning 8 decades, yet that claim to fame is occupied by the legendary Doris Day, who got her start in show business as a singer in a big band in 1939 and has not let up since. From there, Day went on to record dozens of albums and hundreds of songs, winning a countless number of awards on the way to being one of the 20th century’s most popular singers. One of those recognitions came just a few years ago in 2011, when Day, by that time nearing 90 years old, released a new album that charted 9th in the UK Top 40 Albums, making her the oldest singer ever with that distinction. Her musical career would’ve been impressive enough, but Doris Day is just as well known today for her film career, which wasn’t so bad itself. Though her time in Hollywood was much shorter in comparison to her music career, she nevertheless managed to reach the top in that industry as well. As one of the most popular actresses of the ‘60s, Day was the biggest box office draw in Hollywood in the early half of that decade, and the only woman among the Top 10. In the process of making nearly 40 movies, Day would eventually be recognized as the highest grossing actress in history, and at the same time she was good enough at her craft to be nominated for an Oscar for Best Actress. Amazingly, despite her incredible success in both music and film, Day eventually found herself bankrupt due to the mismanagement of her money by her husband, compelling her to reinvent herself as the host of a popular television sitcom. Perhaps not surprisingly, Day excelled in this field as well, making The Doris Day Show one of the most popular shows on television for several years at the end of the ‘60s. American Legends: The Life of Doris Day examines the life and career of one of the entertainment industry’s biggest stars. Along with pictures of important people, places, and events, you will learn about Doris Day like never before, in no time at all.

Climate: A Very Short Introduction


Mark Maslin - 2013
    He considers the processes that allow energy to reach the Earth and how it is redistributed around the planet by the ocean-atmosphere system; the relationship and differences between climate and the weather; how climate has affected life on Earth and human settlements; and the cyclic and quasi-cyclic features of climate such as the Milankovitch cycles and El Nino. He concludes by touching on the issue of climate change, and outlines some of the approaches that are now being taken to tackle it. About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.