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Mathematics; History

Most popular at the top

  • 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...

  • 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...

  • Sets for Mathematicsby F. William Lawvere; Robert Rosebrugh

    Cambridge University Press 2003; US$ 50.00

    For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students. 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...

  • 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...

  • 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...

  • Radical Theory of Ringsby B. J. Gardner; Richard Wiegandt

    Marcel Dekker Inc 2003; US$ 219.95

    Delving into the study of concrete radicals and structure theorems for rings, this title explores the latest developments and research concerning the radical theory of rings, sketching the basic features of radical theories in varieties of nonassociative rings, rings with involution and near-rings. more...

  • Ring Theory and Algebraic Geometryby Angel Granja; Jose Angel Hermida; Alain Verschoren

    Marcel Dekker Inc 2001; US$ 199.95

    Focusing on the interaction between algebra and algebraic geometry, this work includes research papers and surveys contributed by more than 40 specialists. It describes abelian groups, lattices, algebras, binomial ideas, cones and fans, affine and projective algebraic varieties, simplicial and cell more...

  • Character Sums with Exponential Functions and their Applicationsby Sergei Konyagin; Igor Shparlinski; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak

    Cambridge University Press 1999; US$ 62.00

    The theme of this book is the distribution of integer powers modulo a prime number. It provides numerous new links between number theory and computer science as well as other areas of mathematics. Applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory. more...