ISBN: 0486446115
Page Count: 256
Dimensions: 5 3/8 x 8 1/2
This text for advanced undergraduate students is both an
introduction to algebraic geometry and a bridge between its two
parts--the analytic topological and the algebraic. The book opens
with an overview of the results required from algebra and
proceeds to the fundamental concepts of the general theory of
algebraic varieties: general point, dimension, function field,
rational transformations, and correspondences. A concentrated
chapter on formal power series with applications to algebraic
varieties follows. An extensive survey of algebraic curves
includes places, linear series, abelian differentials, and
algebraic correspondences. The text concludes with an examination
of systems of curves on a surface. 1953 ed.
Table of Contents
Preface
1. Algebraic Foundations
2. Algebraic Varieties: Fundamental Concepts
3. Transformations of Algebraic Varieties
4. Formal Power Series
5. Algebraic Curves, Their Places and Transformations
6. Linear Series
7. Abelian Differentials
8. Abelfs Theorem. Algebraic Series and Correspondences
9. Systems of Curves on a Surface
Appendix
Bibliography
List of symbols most frequently used in the text
Index
ISBN: 0486446506
Page Count: 560
Dimensions: 5 5/8 x 8 1/2
Edouard Goursat's three-volume A Course in Mathematical Analysis
remains a classic study and a thorough treatment of the
fundamentals of calculus. As an advanced text for students with
one year of calculus, it offers an exceptionally lucid exposition.
Volume 1 covers applications to geometry, expansion in series,
definite integrals, and derivatives and differentials. Volume 2
explores functions of a complex variable and differential
equations. Volume 3 surveys variations of solutions and partial
differential equations of the second order and integral equations
and calculus of variations.
All volumes are 55/8 x 81/2, hardbound editions.
Volume 1: 1904 ed. Index. 52 figures. 560pp. 0-486-44650-6
Table of Contents
Derivatives and Differentials
Implicit Functions. Functional Determinants. Change of Variable
Taylor's Series. Elementary Applications. Maxima and Minima
Definite Integrals
Indefinite Integrals
Double Integrals
Multiple Integrals. Integration of Total Differentials
Infinite Series
Power Series. Trigonometric Series
Plane Curves
Skew Curves
Surfaces
Index
ISBN: 0486446514
Page Count: 576
Dimensions: 5 5/8 x 8 1/2
Edouard Goursat's three-volume A Course in Mathematical Analysis
remains a classic study and a thorough treatment of the
fundamentals of calculus. As an advanced text for students with
one year of calculus, it offers an exceptionally lucid exposition.
Volume 1 covers applications to geometry, expansion in series,
definite integrals, and derivatives and differentials. Volume 2
explores functions of a complex variable and differential
equations. Volume 3 surveys variations of solutions and partial
differential equations of the second order and integral equations
and calculus of variations. All volumes are 55/8 x 81/2,
hardbound editions.
Volume 1: 1904 ed. Index. 52 figures. 560pp. 0-486-44650-6
Volume 2: 1916 and 1917 eds. Index. 39 figures. 576pp. 0-486-44651-4
Volume 3: 1956 ed. 28 figures. 752pp. 0-486-44652-2
Table of Contents
ISBN: 0486446522
Page Count: 752
Dimensions: 5 5/8 x 8 1/2
Edouard Goursat's three-volume A Course in Mathematical Analysis
remains a classic study and a thorough treatment of the
fundamentals of calculus. As an advanced text for students with
one year of calculus, it offers an exceptionally lucid exposition.
Volume 1 covers applications to geometry, expansion in series,
definite integrals, and derivatives and differentials. Volume 2
explores functions of a complex variable and differential
equations. Volume 3 surveys variations of solutions and partial
differential equations of the second order and integral equations
and calculus of variations.
All volumes are 55/8 x 81/2, hardbound editions.
Volume 1: 1904 ed. Index. 52 figures. 560pp. 0-486-44650-6
Volume 2: 1916 and 1917 eds. Index. 39 figures. 576pp. 0-486-44651-4
Volume 3: 1956 ed. 28 figures. 752pp. 0-486-44652-2
Table of Contents
ISBN: 0486446573
Page Count: 96
Dimensions: 5 5/8 x 8 1/2
This classic work, written by two of the 20th century's most
distinguished mathematicians, explains the theory and formulas
behind Dirichlet's series and offers the first systematic account
of Riesz's theory of the summation of series by typical means.
Topics include the elementary theory of the convergence of
Dirichlet's series; the formula for the sum of the coefficients
of a Dirichlet's series; the summation of series by typical means
and general arithmetic theorems concerning typical means; Abelian
and Tauberian theorems; and the multiplication of Dirichlet's
series. 1915 ed.
Table of Contents
1. Introduction
2. Elementary Theory of the Convergence of Dirichlet's Series
3. The Formula for the Sum of the Coefficients of a Dirichlet's
Series: The Order of the Function Represented by the Series
4. The Summation of Series by Typical Means
5. General Arithmetic Theorems Concerning Typical Means
6. Abelian and Tauberian Theorems
7. Further Developments of the Theory of Functions Represented by
Dirichlet's Series
8. The Multiplication of Dirichlet's Series
Bibliography
ISBN: 0486445283
Page Count: 432
Dimensions: 5 3/8 x 8 1/2
This text defines the path integral and illustrates its uses by
example. Suitable for advanced undergraduates and graduate
students, its sole prerequisite is a first course in quantum
mechanics. The first part develops the techniques of path
integration. Numerous considerations include vector potentials,
functional derivatives and commutation relations, and
perturbation theory and Feynman diagrams. The second section,
dealing with applications, covers a host of situations, including
those related to the WKB approximation and near caustics,
scattering theory, relativistic propagators and black holes,
instantons and metastability, and the phase space path integral.
1981 ed. Indexes. 26 figures.
Table of contents