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Author :
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (44 download)
Download or read book The Early Theory of Equations written by and published by . This book was released on 1986 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jiri Herman
Publisher : Springer Science & Business Media
ISBN 13 : 1461212707
Total Pages : 353 pages
Book Rating : 4.4/5 (612 download)
Download or read book Equations and Inequalities written by Jiri Herman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.
Author : Edgar Dehn
Publisher : Courier Corporation
ISBN 13 : 0486155102
Total Pages : 225 pages
Book Rating : 4.4/5 (861 download)
Download or read book Algebraic Equations written by Edgar Dehn and published by Courier Corporation. This book was released on 2012-09-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on basics of algebraic theory, this text presents detailed explanations of integral functions, permutations, and groups as well as Lagrange and Galois theory. Many numerical examples with complete solutions. 1930 edition.
Author : C. Edward Sandifer
Publisher : American Mathematical Soc.
ISBN 13 : 1470451808
Total Pages : 391 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Early Mathematics of Leonhard Euler written by C. Edward Sandifer and published by American Mathematical Soc.. This book was released on 2020-07-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler's greatest work, the Konigsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.
Author : James Hetao Liu
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.X/5 (4 download)
Download or read book A First Course in the Qualitative Theory of Differential Equations written by James Hetao Liu and published by . This book was released on 2003 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete analysis of those subjects that are of fundamental importance to the qualitative theory of differential equations and related to current research-including details that other books in the field tend to overlook. Chapters 1-7 cover the basic qualitative properties concerning existence and uniqueness, structures of solutions, phase portraits, stability, bifurcation and chaos. Chapters 8-12 cover stability, dynamical systems, and bounded and periodic solutions. A good reference book for teachers, researchers, and other professionals.
Author : Stephen M. Zemyan
Publisher : Springer Science & Business Media
ISBN 13 : 0817683496
Total Pages : 350 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Classical Theory of Integral Equations written by Stephen M. Zemyan and published by Springer Science & Business Media. This book was released on 2012-07-10 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations. The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field. With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter; Thorough discussions of the analytical methods used to solve many types of integral equations; An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations; Over 80 illustrative examples that are explained in meticulous detail; Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts; Guides to Computation to assist the student with particularly complicated algorithmic procedures. This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have. The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study. Scientists and engineers who are working in the field will also find this text to be user friendly and informative.
Author : R. Bruce King
Publisher : Springer Science & Business Media
ISBN 13 : 0817648496
Total Pages : 159 pages
Book Rating : 4.8/5 (176 download)
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
Author : Samuel Borofsky
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (44 download)
Download or read book Elementary Theory of Equations written by Samuel Borofsky and published by . This book was released on 1950 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oystein Ore
Publisher : Courier Corporation
ISBN 13 : 0486136434
Total Pages : 404 pages
Book Rating : 4.4/5 (861 download)
Download or read book Number Theory and Its History written by Oystein Ore and published by Courier Corporation. This book was released on 2012-07-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
Author : N. I. Muskhelishvili
Publisher : Courier Corporation
ISBN 13 : 0486145069
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)
Download or read book Singular Integral Equations written by N. I. Muskhelishvili and published by Courier Corporation. This book was released on 2013-02-19 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Author : Hans Wussing
Publisher : Courier Corporation
ISBN 13 : 0486458687
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Genesis of the Abstract Group Concept written by Hans Wussing and published by Courier Corporation. This book was released on 2007-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the Bulletin of the American Mathematical Society. The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition.
Author : Nelson Bush Conkwright
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to the Theory of Equations written by Nelson Bush Conkwright and published by . This book was released on 1957 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Muḥammad ibn Mūsá Khuwārizmī
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)
Download or read book الكتاب المختصر فى حساب الجبر والمقابلة written by Muḥammad ibn Mūsá Khuwārizmī and published by . This book was released on 1831 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Fulton
Publisher : Springer Science & Business Media
ISBN 13 : 3662024217
Total Pages : 483 pages
Book Rating : 4.6/5 (62 download)
Download or read book Intersection Theory written by W. Fulton and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.
Author : Raymond M. Redheffer
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780867202007
Total Pages : 744 pages
Book Rating : 4.2/5 (2 download)
Download or read book Differential Equations written by Raymond M. Redheffer and published by Jones & Bartlett Learning. This book was released on 1991 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacqueline A. Stedall
Publisher : European Mathematical Society
ISBN 13 : 9783037190920
Total Pages : 244 pages
Book Rating : 4.1/5 (99 download)
Download or read book From Cardano's Great Art to Lagrange's Reflections written by Jacqueline A. Stedall and published by European Mathematical Society. This book was released on 2011 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
Author : Juha Heinonen
Publisher : Courier Dover Publications
ISBN 13 : 0486830462
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)
Download or read book Nonlinear Potential Theory of Degenerate Elliptic Equations written by Juha Heinonen and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
