Download or read book Solution of Cubic and Quartic Equations written by S. Neumark and published by Elsevier. This book was released on 2014-05-16 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solution of Cubic and Quartic Equations presents the classical methods in solving cubic and quartic equations to the highest possible degree of efficiency. This book suggests a rapid and efficient method of computing the roots of an arbitrary cubic equation with real coefficients, by using specially computed 5-figure tables. The method of factorizing an arbitrary quartic equation by an appropriate use of a resolvent cubic is also discussed. Section 4 of this text gives several numerical examples that show the rapidity of the procedures suggested. This publication is valuable to mathematicians and students intending to acquire knowledge of the cubic and quartic equations.
Download or read book Solution of Cubic and Quartic Equations written by Stefan Neumark and published by . This book was released on 1965 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solution of Cubic and Quartic Equations presents the classical methods in solving cubic and quartic equations to the highest possible degree of efficiency.
Download or read book Solution of Cubic and Quartic Equations written by S. Neumark and published by . This book was released on 1961 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Beyond the Quartic Equation written by R. Bruce King and published by Springer Science & Business Media. This book was released on 2009-01-16 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist
Download or read book The Analysis and Solution of Cubic and Biquadratic Equations written by John Radford Young and published by . This book was released on 1842 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Beyond the Quadratic Formula written by Ron Irving and published by American Mathematical Soc.. This book was released on 2020-01-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.
Download or read book A solution for cubic and quartic equations written by Laurine E. Needham and published by . This book was released on 1932 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Concerning the Solution of Cubic and Quartic Equations written by Edna Vivian Johnston and published by . This book was released on 1916 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galois Theory Fourth Edition written by Ian Stewart and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Solution of Cubic and Quartic Equations written by Edwin Lory Cox and published by . This book was released on 1933 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solving Transcendental Equations written by John P. Boyd and published by SIAM. This book was released on 2014-09-23 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Download or read book New and easy method of solution of the Cubic and Biquadratic Equations embracing several new formulas designed as a sequel to the Elements of Algebra etc written by Orson PRATT and published by . This book was released on 1866 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abel s Proof written by Peter Pesic and published by MIT Press. This book was released on 2004-02-27 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intellectual and human story of a mathematical proof that transformed our ideas about mathematics. In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. He also presents it as a remarkable human story. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and marry his fiancé. But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra—which even Newton resisted—and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof.
Download or read book The Emergence of Number written by John N. Crossley and published by World Scientific. This book was released on 1987 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence. The dramatic change caused by the introduction of logical theories of number in the 19th century is also treated and this part ends with a non-technical account of the very latest developments in the area of Gdel's theorem. The second part is concerned with the development of complex numbers and tries to answer the question as to why complex numbers were not introduced before the 16th century and then, by looking at the original materials, shows how they were introduced as a pragmatic device which was only subsequently shown to be theoretically justifiable. The third part concerns the real numbers and examines the distinction that the Greeks made between number and magnitude. It then traces the gradual development of a theory of real numbers up to the precise formulations in the nineteeth century. The importance of the Greek distinction between the number line and the geometric line is brought into sharp focus.This is an new edition of the book which first appeared privately published in 1980 and is now out of print. Substantial revisions have been made throughout the text, incorporating new material which has recently come to light and correcting a few relatively minor errors. The third part on real numbers has been very extensively revised and indeed the last chapter has been almost completely rewritten. Many revisions are the results of comments from earlier readers of the book.
Download or read book Elements of Abstract Algebra written by Allan Clark and published by Courier Corporation. This book was released on 2012-07-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Download or read book Some Solutions of the Cubic and Quartic Equations written by and published by . This book was released on 1948 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New and Easy Method of Solution of the Cubic and Biquadratic Equations written by Orson Pratt and published by . This book was released on 1866 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
