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This book solves a problem that has been open for over 20years---the complete classification of structurally stablequadratic vector fields modulo limit cycles. The 1950s saw thefirst real impetus given to the development of the qualitativetheory of quadratic vector fields, although prior and ongoinginterest in the topic can be shown by the more than 800 papersthat have been published on the subject. One of the problems inthe qualitative theory of quadratic vector fields is theclassification of all structurally stable ones: In this work theauthors solve this problem completely modulo limit cycles andgive all possible phase portraits for such structurally stablequadratic vector fields. ... Read more

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In the theory of population genetics, fundamental results onits dynamicalprocesses and equilibrium laws have emergedduring the last few decades.This monograph systematicallyreviews these developments, beginning fromelementaryexamples and explanations.Mathematically, the main emphasis of the book is theinvestigation of iterations of a quadratic orfractionalquadratic operator in the simplex. By the use of somenon-associative algebra, many results can be obtained inexplicitform eg. the explicit description (Bernsteinproblem) of stationary quadratic operators, and the explicitsolutions of a nonlinear evolutionary equation in theabsence of selection, as well as general theorems onconvergence to equilibrium in the presence of selection.Some of the algebraic theory used is interesting for its ownsake.The reader can use this book either to obtain a thorough andcomprehensive coverage of the present state of knowledge ofthe subject, and to learn new methods from it,or else toobtain an elementary introduction to the field. ... Read more

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This textbook includes chapters on Rational and Real Numbers, Linear Equations and Inequalities, Graphing,Systems of Linear Equations, Exponents and Polynomials, Factoring Polynomials, Rational Expressions, Radicals, Quadratic Equations and an appendix on Geometry. ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 1382 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Student Study and Solutions Guide for Intermediate Algebra: Graphs and Functions, Second Edition, is a supplement to the text Intermediate Algebra: Graphs and Functions, Second Edition (Larson/Hostetler/Neptune). It features step-by-step solutions to all odd-numbered Section Execises, all Review Exercises, and all Mid-Chapter Test, Chapter Test, and Cumulative Test problems. ... Read more

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Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.

The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse-Minkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions.

The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study.

From the reviews:

"This is a book which many mathematicians could enjoy browsing, and one which a good undergraduate could be encouraged to read to learn something of the interconnections, which exist between apparently disparate parts of mathematics."

--Canadian Mathematical Society

"As a source for information on the 'reach' of number theory into other areas of mathematics, it is an excellent work."

--Mathematical Association of America

Customer Reviews (2)

Old, but very, very nice.
This is old but good.It has a similar concept to "Numerical Recipes" by Press, et. al. but covers less ground, and at a more elementary level.Contrary to another reviewer, it does give plenty of examples at an elementary level, which I find quite helpful.That is an advantage sometimes if you don't need to wade through all the heavy artillery in "Numerical Recipes".Algorithms are given as pseudocode, and Fortran code which are easily transcribed into any language, such as VBA.I have owned this since 1980 and this is one of the more heavily worn references on my bookshelf.If you just need to quickly understand and code an algorithm, this is a great book to have handy.I see that used copies are cheap, and available.I recommend grabbing a copy.If the authors are still around to read this review - thanks for a really nice book!

It is a good book but does needs for examples
The book should have more examples per topic, one example is not enoughfor a difficult subject like Numerical Analysis.The book does not providethe answers for the exercises and students do not have a way to check ifthey are doing the exercises correctly. ... Read more