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Mathematics; History

Most popular at the top

  • Set Theoryby Andras Hajnal; Peter Hamburger; Attila Mate

    Cambridge University Press 1999; US$ 53.00

    This is a classic introduction to set theory, from the basics through to the modern tools of combinatorial set theory. more...

  • The Mathematics of Infinityby Theodore G. Faticoni

    John Wiley & Sons 2012; US$ 79.95

    Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly... more...

  • Galois' Theory Of Algebraic Equationsby J P Tignol

    World Scientific 2001; US$ 36.40

    Galois' Theory of Algebraic Equations gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The main emphasis is placed on equations of at least the third degree, i.e. on the developments during the period from the sixteenth to the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as ?group? and ?field?. more...

  • Cohomology of Vector Bundles and Syzygiesby Jerzy Weyman; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak

    Cambridge University Press 2003; US$ 98.00

    The central theme of this book is an exposition of the geometric technique of calculating syzygies. Written from a point of view of commutative algebra, no knowledge of representation theory is assumed. Several important applications are carefully considered, with numerous exercises for the reader. more...

  • Elementary Number Theory in Nine Chaptersby James J. Tattersall

    Cambridge University Press 1999; US$ 26.00

    This book is intended to serve as a one-semester introductory course in number theory and it includes a wealth of exercises. A historical perspective has been adopted and emphasis is given to some of the subject's applied aspects. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject. more...

  • A Primer of Analytic Number Theoryby Jeffrey Stopple

    Cambridge University Press 2003; US$ 42.00

    This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. The capstone of the book is a brief presentation of the Riemann zeta function and of the significance of the Riemann Hypothesis. more...

  • A Panorama of Number Theory or The View from Baker's Gardenby Gisbert Wustholz

    Cambridge University Press 2002; US$ 139.00

    This book represents the highlights of a conference hosted at ETH Zurich. It will appeal to a broad spectrum of number theorists. However, it is also for research students interested in the state of number theory at the start of the 21st century and in possible developments for the future. more...

  • Solving Polynomial Equation Systems Iby Teo Mora; G.-C. Rota

    Cambridge University Press 2003; US$ 161.00

    Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. more...

  • Number Theory Arising from Finite Fieldsby John Knopfmacher; Wen-Bin Zhang

    Marcel Dekker Inc 2001; US$ 199.95

    A discussion of advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions. more...

  • P-Adic Functional Analysisby A. K. Katsaras; W. H. Schikhof; L. Van Hamme

    Marcel Dekker Inc 2001; US$ 185.95

    A collection of lectures presented at the Sixth International Conference, held at the University of Ioannina, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. more...