Geometry In Advanced Pure Mathematics

Author : Bullett Shaun,Fearn Tom,Smith Frank
Publisher : World Scientific
Page : 236 pages
File Size : 40,7 Mb
Release : 2017-03-07
Category : Mathematics
ISBN : 9781786341099

Get Book

Geometry In Advanced Pure Mathematics by Bullett Shaun,Fearn Tom,Smith Frank Pdf

This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Author : Shaun Bullett,T. Fearn,Frank T. Smith
Publisher : Unknown
Page : 128 pages
File Size : 42,5 Mb
Release : 2017
Category : MATHEMATICS
ISBN : 1786341085

Get Book

Geometry in Advanced Pure Mathematics by Shaun Bullett,T. Fearn,Frank T. Smith Pdf

"This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas."--Publisher's website.

Author : B. D. Bunday,H. Mulholland
Publisher : Butterworth-Heinemann
Page : 526 pages
File Size : 45,5 Mb
Release : 2014-05-20
Category : Mathematics
ISBN : 9781483106137

Get Book

Pure Mathematics for Advanced Level by B. D. Bunday,H. Mulholland Pdf

Pure Mathematics for Advanced Level, Second Edition is written to meet the needs of the student studying for the General Certificate of Education at Advanced Level. The text is organized into 22 chapters. Chapters 1-5 cover topics in algebra such as operations with real numbers, the binomial theorem, and the quadratic function and the quadratic equation. The principles, methods and techniques in calculus, trigonometry, and co-ordinate geometry are provided as well. Two new chapters have been added: Numerical Methods and Vectors. Mathematics students will find this book extremely useful.

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 53,5 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

Get Book

Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Author : R. G. Meadows,R. Delbourgo
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 1971
Category : Mathematics
ISBN : 0140801634

Get Book

Advanced Pure Mathematics by R. G. Meadows,R. Delbourgo Pdf

Author : T. Ochiai
Publisher : Academic Press
Page : 462 pages
File Size : 53,7 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781483214689

Get Book

Recent Topics in Differential and Analytic Geometry by T. Ochiai Pdf

Advanced Studies in Pure Mathematics, Volume 18-I: Recent Topics in Differential and Analytic Geometry presents the developments in the field of analytical and differential geometry. This book provides some generalities about bounded symmetric domains. Organized into two parts encompassing 12 chapters, this volume begins with an overview of harmonic mappings and holomorphic foliations. This text then discusses the global structures of a compact Kähler manifold that is locally decomposable as an isometric product of Ricci-positive, Ricci-negative, and Ricci-flat parts. Other chapters consider the most recognized non-standard examples of compact homogeneous Einstein manifolds constructed via Riemannian submersions. This book discusses as well the natural compactification of the moduli space of polarized Einstein–Kähler orbitfold with a given Hilbert polynomials. The final chapter deals with solving a degenerate Monge–Ampère equation by constructing a family of Einstein–Kähler metrics on the smooth part of minimal varieties of general kind. This book is a valuable resource for graduate students and pure mathematicians.

Author : Edward Atkins
Publisher : Unknown
Page : 424 pages
File Size : 43,9 Mb
Release : 1874
Category : Mathematics
ISBN : BL:A0026561856

Get Book

Pure Mathematics by Edward Atkins Pdf

Author : James W. Cogdell
Publisher : International Pressof Boston Incorporated
Page : 557 pages
File Size : 47,8 Mb
Release : 2011
Category : Mathematics
ISBN : 1571462295

Get Book

Arithmetic Geometry and Automorphic Forms by James W. Cogdell Pdf

Author : Pierre Henry-Labordere
Publisher : CRC Press
Page : 403 pages
File Size : 53,5 Mb
Release : 2008-09-22
Category : Business & Economics
ISBN : 9781420087000

Get Book

Analysis, Geometry, and Modeling in Finance by Pierre Henry-Labordere Pdf

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

Author : V. I. Smirnov
Publisher : Elsevier
Page : 645 pages
File Size : 54,9 Mb
Release : 2014-05-09
Category : Mathematics
ISBN : 9781483185088

Get Book

A Course of Higher Mathematics by V. I. Smirnov Pdf

A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in classical field theories in vector algebra and vector analysis and the elements of differential geometry in three-dimensional space. The final chapters explore the Fourier series and the solution of the partial differential equations of classical mathematical physics. This book will prove useful to advanced mathematics students, engineers, and physicists.

Author : De Witt L. Sumners,Nicholas R. Cozzarelli
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 51,9 Mb
Release : 1992
Category : Mathematics
ISBN : 0821855026

Get Book

New Scientific Applications of Geometry and Topology by De Witt L. Sumners,Nicholas R. Cozzarelli Pdf

Geometry and topology are subjects generally considered to be "pure" mathematics. Recently, however, some of the methods and results in these two areas have found new utility in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles on these intriguing new connections. There are articles by a chemist and a biologist about mathematics, and four articles by mathematicians writing about science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course.

Author : K. Hashimoto,Y. Namikawa
Publisher : Academic Press
Page : 540 pages
File Size : 44,8 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781483218076

Get Book

Automorphic Forms and Geometry of Arithmetic Varieties by K. Hashimoto,Y. Namikawa Pdf

Automorphic Forms and Geometry of Arithmetic Varieties deals with the dimension formulas of various automorphic forms and the geometry of arithmetic varieties. The relation between two fundamental methods of obtaining dimension formulas (for cusp forms), the Selberg trace formula and the index theorem (Riemann-Roch's theorem and the Lefschetz fixed point formula), is examined. Comprised of 18 sections, this volume begins by discussing zeta functions associated with cones and their special values, followed by an analysis of cusps on Hilbert modular varieties and values of L-functions. The reader is then introduced to the dimension formula of Siegel modular forms; the graded rings of modular forms in several variables; and Selberg-Ihara's zeta function for p-adic discrete groups. Subsequent chapters focus on zeta functions of finite graphs and representations of p-adic groups; invariants and Hodge cycles; T-complexes and Ogata's zeta zero values; and the structure of the icosahedral modular group. This book will be a useful resource for mathematicians and students of mathematics.

Author : Anonim
Publisher : Unknown
Page : 71 pages
File Size : 40,7 Mb
Release : 1987
Category : Geometry
ISBN : 0335142117

Get Book

Introduction to Pure Mathematics by Anonim Pdf

Author : T. Ochiai
Publisher : Academic Press
Page : 472 pages
File Size : 52,5 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483214672

Get Book

Kähler Metric and Moduli Spaces by T. Ochiai Pdf

Kähler Metric and Moduli Spaces, Volume 18-II covers survey notes from the expository lectures given during the seminars in the academic year of 1987 for graduate students and mature mathematicians who were not experts on the topics considered during the sessions about partial differential equations. The book discusses basic facts on Einstein metrics in complex geometry; Einstein-Kähler metrics with positive or non-positive Ricci curvature; Yang-Mills connections; and Einstein-Hermitian metrics. The text then describes the tangent sheaves of minimal varieties; Ricci-Flat Kähler metrics on affine algebraic manifolds; and degenerations of Kähler-Einstein. The moduli of Einstein metrics on a K3 surface and degeneration of Type I and the uniformization of complex surfaces are also considered. Mathematicians and graduate students taking differential and analytic geometry will find the book useful.

Author : Robert R. Stoll
Publisher : Courier Corporation
Page : 512 pages
File Size : 47,6 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486139647

Get Book

Set Theory and Logic by Robert R. Stoll Pdf

Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.