Encyclopedia of Numbers
Author: A. E. Abbott
Publisher: Literary Licensing, LLC
Published: 2014-03
Total Pages: 522
ISBN-13: 9781498106818
DOWNLOAD EBOOKThis Is A New Release Of The Original 1910 Edition.
Posts
Introduction to Modern Number Theory
Author: Yu. I. Manin
Publisher: Springer Science & Business Media
Published: 2006-03-30
Total Pages: 519
ISBN-13: 3540276920
DOWNLOAD EBOOKThis edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
Algorithmic Algebraic Number Theory
Author: M. Pohst
Publisher: Cambridge University Press
Published: 1997-09-25
Total Pages: 520
ISBN-13: 9780521596695
DOWNLOAD EBOOKNow in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
Relational Mathematics
Author: Gunther Schmidt
Publisher: Cambridge University Press
Published: 2011
Total Pages: 582
ISBN-13: 0521762685
DOWNLOAD EBOOKRelational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.
Mathematical Constants
Author: Steven R. Finch
Publisher: Cambridge University Press
Published: 2003-08-18
Total Pages: 634
ISBN-13: 9780521818056
DOWNLOAD EBOOKSteven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Matroid Applications
Author: Neil White
Publisher: Cambridge University Press
Published: 1992-03-05
Total Pages: 377
ISBN-13: 0521381657
DOWNLOAD EBOOKThis volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm).
Permanents
Author: Henryk Minc
Publisher: Cambridge University Press
Published: 1984-12-28
Total Pages: 228
ISBN-13: 9780521302265
DOWNLOAD EBOOKThis 1978 book gives an account of the theory of permanents, their history and applications. The volume was the first complete account of the theory of permanents, covering virtually the whole of the subject, a feature that no simple survey of the theory of matrices can even attempt.
Finite Precision Number Systems and Arithmetic
Author: Peter Kornerup
Publisher: Cambridge University Press
Published: 2010-09-30
Total Pages: 717
ISBN-13: 113964355X
DOWNLOAD EBOOKFundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
Encyclopedia of Applied and Computational Mathematics
Author: Björn Engquist
Publisher: Springer
Published: 2016-12-16
Total Pages: 0
ISBN-13: 9783662528723
DOWNLOAD EBOOKEACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.
Algebraic Number Theory
Author: H. Koch
Publisher: Springer Science & Business Media
Published: 1997-09-12
Total Pages: 280
ISBN-13: 9783540630036
DOWNLOAD EBOOKFrom the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993
