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Author : Marvin J. Greenberg
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.F/5 ( download)
Download or read book Lectures on Forms in Many Variables written by Marvin J. Greenberg and published by . This book was released on 1969 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul M. Gauthier
Publisher : Springer
ISBN 13 : 3319115111
Total Pages : 110 pages
Book Rating : 4.3/5 (191 download)
Download or read book Lectures on Several Complex Variables written by Paul M. Gauthier and published by Springer. This book was released on 2014-11-07 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.
Author : Andrew Russell Forsyth
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (97 download)
Download or read book Lectures Introductory to the Theory of Functions of Two Complex Variables written by Andrew Russell Forsyth and published by . This book was released on 1914 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Pierpont
Publisher : Forgotten Books
ISBN 13 : 9780484175029
Total Pages : 576 pages
Book Rating : 4.1/5 (75 download)
Download or read book Lectures on the Theory of Functions of Real Variables, Vol. 1 (Classic Reprint) written by James Pierpont and published by Forgotten Books. This book was released on 2017-12-19 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Lectures on the Theory of Functions of Real Variables, Vol. 1 The present work is based on lectures which the author is accustomed to give at Yale University on advanced calculus and the theory of functions of real variables. It falls in two volumes, and the following remarks apply only to the first. The student of mathematics, on entering the graduate school of American universities, often has no inconsiderable knowledge of the methods and processes of the calculus. He knows how to differentiate and integrate complicated expressions, to evaluate indeterminate forms, to find maxima and minima, to differentiate a definite integral with respect to a parameter, etc. But no em phasis has been placed on the conditions under which these pro cesses are valid. Great is his surprise to learn that they do not always lead to correct results. Numerous simple examples, how ever, readily convince him that such is nevertheless the case. The problem therefore arises to examine more carefully the conditions under which the theorems and processes of the calculus are correct, and to extend as far as possible or useful the limits of their applicability. In doing this it soon becomes manifest that the style of reason ing which the student has heretofore employed must be abandoned. Examples of curves without tangents, of curves completely filling areas, and other strange configurations so familiar to the analyst of to-day, make it clear that the rough and ready reasoning which rests on geometric intuition must give way to a finer and more delicate analysis. It is necessary for him to learn to think in the e, 8 forms of Cauchy and Weierstrass. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Bernard Malgrange
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (321 download)
Download or read book Lectures on the Theory of Functions of Several Complex Variables written by Bernard Malgrange and published by . This book was released on 1984 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Hendrik Bruinier
Publisher : Springer
ISBN 13 : 9783540842019
Total Pages : 266 pages
Book Rating : 4.8/5 (42 download)
Download or read book The 1-2-3 of Modular Forms written by Jan Hendrik Bruinier and published by Springer. This book was released on 2009-09-02 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.
Author : James Pierpont
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.:/5 (334 download)
Download or read book Lectures on the Theory of Functions of Real Variables written by James Pierpont and published by . This book was released on 1905 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonard Eugene Dickson
Publisher : Courier Corporation
ISBN 13 : 9780486438283
Total Pages : 128 pages
Book Rating : 4.4/5 (382 download)
Download or read book On Invariants and the Theory of Numbers written by Leonard Eugene Dickson and published by Courier Corporation. This book was released on 2004-01-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of enormous historical importance, this classic offered the first public formulation of Dickson's theory of invariants for modular forms and linear transformations. In many sections of the five lectures included here, Dickson aimed not at complete generality, but at an illumination of typical and suggestive topics. The introductory lecture is followed by sections on seminvariants of algebraic and modular binary forms; invariants of a modular group and formal invariants and covariants of modular forms; modular geometry and covariantive theory of a quadratic form in m variables, modulo 2; and a theory of plane cubic curves with a real inflexion point valid in ordinary and in modular geometry. 1914 ed.
Author : Jun-ichi Igusa
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.F/5 ( download)
Download or read book Lectures on Forms of Higher Degree written by Jun-ichi Igusa and published by . This book was released on 1978 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Scott D. Ahlgren
Publisher : Springer Science & Business Media
ISBN 13 : 1461303052
Total Pages : 262 pages
Book Rating : 4.4/5 (613 download)
Download or read book Topics in Number Theory written by Scott D. Ahlgren and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: From July 31 through August 3,1997, the Pennsylvania State University hosted the Topics in Number Theory Conference. The conference was organized by Ken Ono and myself. By writing the preface, I am afforded the opportunity to express my gratitude to Ken for beng the inspiring and driving force behind the whole conference. Without his energy, enthusiasm and skill the entire event would never have occurred. We are extremely grateful to the sponsors of the conference: The National Sci ence Foundation, The Penn State Conference Center and the Penn State Depart ment of Mathematics. The object in this conference was to provide a variety of presentations giving a current picture of recent, significant work in number theory. There were eight plenary lectures: H. Darmon (McGill University), "Non-vanishing of L-functions and their derivatives modulo p. " A. Granville (University of Georgia), "Mean values of multiplicative functions. " C. Pomerance (University of Georgia), "Recent results in primality testing. " C. Skinner (Princeton University), "Deformations of Galois representations. " R. Stanley (Massachusetts Institute of Technology), "Some interesting hyperplane arrangements. " F. Rodriguez Villegas (Princeton University), "Modular Mahler measures. " T. Wooley (University of Michigan), "Diophantine problems in many variables: The role of additive number theory. " D. Zeilberger (Temple University), "Reverse engineering in combinatorics and number theory. " The papers in this volume provide an accurate picture of many of the topics presented at the conference including contributions from four of the plenary lectures.
Author : Helmut Klingen
Publisher : Cambridge University Press
ISBN 13 : 9780521062091
Total Pages : 0 pages
Book Rating : 4.0/5 (62 download)
Download or read book Introductory Lectures on Siegel Modular Forms written by Helmut Klingen and published by Cambridge University Press. This book was released on 2008-05-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to present a straightforward and easily accessible survey of the analytic theory of quadratic forms. Written at an elementary level, the book provides a sound basis from which the reader can study advanced works and undertake original research. Roughly half a century ago C.L. Siegel discovered a new type of automorphic forms in several variables in connection with his famous work on the analytic theory of quadratic forms. Since then Siegel modular forms have been studied extensively because of their significance in both automorphic functions in several complex variables and number theory. The comprehensive theory of automorphic forms to subgroups of algebraic groups and the recent arithmetical theory of modular forms illustrate these two aspects in an illuminating manner. The text is based on the author's lectures given over a number of years and is intended for a one semester graduate course, although it can serve equally well for self study . The only prerequisites are a knowledge of algebra, number theory and complex analysis.
Author : Tim Browning
Publisher : Springer Nature
ISBN 13 : 3030868729
Total Pages : 175 pages
Book Rating : 4.0/5 (38 download)
Download or read book Cubic Forms and the Circle Method written by Tim Browning and published by Springer Nature. This book was released on 2021-11-19 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties. This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
Author : Carl Ludwig Siegel
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.X/5 (1 download)
Download or read book Analytic Functions of Several Complex Variables written by Carl Ludwig Siegel and published by . This book was released on 1954 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Hazewinkel
Publisher : Elsevier
ISBN 13 : 0080532969
Total Pages : 899 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2000-04-06 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
Author : Wilfred Kaplan
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Functions of a Complex Variable written by Wilfred Kaplan and published by . This book was released on 1955 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Pierpont
Publisher : Palala Press
ISBN 13 : 9781379194521
Total Pages : 578 pages
Book Rating : 4.1/5 (945 download)
Download or read book Lectures on the Theory of Functions of Real Variables written by James Pierpont and published by Palala Press. This book was released on 2018-03-03 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Tsit-Yuen Lam
Publisher : American Mathematical Soc.
ISBN 13 : 0821810952
Total Pages : 577 pages
Book Rating : 4.8/5 (218 download)
Download or read book Introduction to Quadratic Forms over Fields written by Tsit-Yuen Lam and published by American Mathematical Soc.. This book was released on 2005 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new version of the author's prizewinning book, Algebraic Theory of Quadratic Forms (W. A. Benjamin, Inc., 1973), gives a modern and self-contained introduction to the theory of quadratic forms over fields of characteristic different from two. Starting with few prerequisites beyond linear algebra, the author charts an expert course from Witt's classical theory of quadratic forms, quaternion and Clifford algebras, Artin-Schreier theory of formally real fields, and structural theorems on Witt rings, to the theory of Pfister forms, function fields, and field invariants. These main developments are seamlessly interwoven with excursions into Brauer-Wall groups, local and global fields, trace forms, Galois theory, and elementary algebraic K-theory, to create a uniquely original treatment of quadratic form theory over fields. Two new chapters totaling more than 100 pages have been added to the earlier incarnation of this book to take into account some of the newer results and more recent viewpoints in the area. As is characteristic of this author's expository style, the presentation of the main material in this book is interspersed with a copious number of carefully chosen examples to illustrate the general theory. This feature, together with a rich stock of some 280 exercises for the thirteen chapters, greatly enhances the pedagogical value of this book, both as a graduate text and as a reference work for researchers in algebra, number theory, algebraic geometry, algebraic topology, and geometric topology.
