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Research Problems in Discrete Geometry

Posted By: AvaxGenius
Research Problems in Discrete Geometry

Research Problems in Discrete Geometry by Peter Brass , William O. J. Moser , János Pach
English | PDF (True) | 2005 | 507 Pages | ISBN : 0387238158 | 5.1 MB

Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad.

Proper Group Actions and the Baum-Connes Conjecture

Posted By: AvaxGenius
Proper Group Actions and the Baum-Connes Conjecture

Proper Group Actions and the Baum-Connes Conjecture by Guido Mislin , Alain Valette
English | PDF | 2003 | 138 Pages | ISBN : 3764304081 | 14.3 MB

A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C^*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature.

The Implicit Function Theorem: History, Theory, and Applications

Posted By: AvaxGenius
The Implicit Function Theorem: History, Theory, and Applications

The Implicit Function Theorem: History, Theory, and Applications by Steven G. Krantz , Harold R. Parks
English | PDF (True) | 2003 | 168 Pages | ISBN : 1461265932 | 18.1 MB

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash–Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.

Mastering AutoCAD 2025: Level up your AutoCAD skills with advanced methods and tools, including AutoCAD Web and Trace

Posted By: yoyoloit
Mastering AutoCAD 2025: Level up your AutoCAD skills with advanced methods and tools, including AutoCAD Web and Trace

Mastering AutoCAD 2025
by Shaun Bryant

English | 2025 | ISBN: 1837639698 | 456 pages | True/Retail PDF EPUB | 83.58 MB

Almost Ring Theory

Posted By: AvaxGenius
Almost Ring Theory

Almost Ring Theory by Ofer Gabber , Lorenzo Ramero
English | PDF (True) | 2003 | 314 Pages | ISBN : 3540405941 | 4 MB

This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an "almost ring". Almost rings are the commutative unitary monoids in a tensor category obtained as a quotient V-Mod/S of the category V-Mod of modules over a fixed ring V; the subcategory S consists of all modules annihilated by a fixed ideal m of V, satisfying certain natural conditions.

Galois Theory of Linear Differential Equations

Posted By: AvaxGenius
Galois Theory of Linear Differential Equations

Galois Theory of Linear Differential Equations by Marius Put , Michael F. Singer
English | PDF (True) | 2003 | 446 Pages | ISBN : 3540442286 | 3.9 MB

Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.
A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used.

An Introduction to Nonlinear Analysis: Theory

Posted By: AvaxGenius
An Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Theory by Zdzisław Denkowski , Stanisław Migórski , Nikolas S. Papageorgiou
English | PDF (True) | 2003 | 699 Pages | ISBN : 0306473925 | 62.4 MB

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors.

Cohomology Rings of Finite Groups

Posted By: AvaxGenius
Cohomology Rings of Finite Groups

Cohomology Rings of Finite Groups: With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64 by Jon F. Carlson , Lisa Townsley , Luis Valeri-Elizondo , Mucheng Zhang
English | PDF | 2003 | 782 Pages | ISBN : 1402015259 | 69.5 MB

Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num­ ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con­ nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in­ teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen­ tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com­ putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature.

Perfect Lattices in Euclidean Spaces

Posted By: AvaxGenius
Perfect Lattices in Euclidean Spaces

Perfect Lattices in Euclidean Spaces by Jacques Martinet
English | PDF | 2003 | 535 Pages | ISBN : 3540442367 | 42.8 MB

Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3.

Fourier Analysis and Convexity

Posted By: AvaxGenius
Fourier Analysis and Convexity

Fourier Analysis and Convexity by Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini, Alex Iosevich
English | PDF (True) | 2004 | 274 Pages | ISBN : 0817632638 | 21.9 MB

Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series.

Sheaves in Topology

Posted By: AvaxGenius
Sheaves in Topology

Sheaves in Topology by Alexandru Dimca
English | PDF (True) | 2004 | 253 Pages | ISBN : 3540206655 | 22.6 MB

Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R. Thom and H. Whitney. These sheaves, generalizing the local systems that are so ubiquitous in mathematics, have powerful applications to the topology of such singular spaces (mainly algebraic and analytic complex varieties).

Cookie Lab Cookbook: Mastering Perfect Cookies With Kitchen Chemistry

Posted By: roxul
Cookie Lab Cookbook: Mastering Perfect Cookies With Kitchen Chemistry

David Soughtout, "Cookie Lab Cookbook: Mastering Perfect Cookies With Kitchen Chemistry "
English | ASIN ‏ : ‎ B0DXCS2YM7 | 2025 | 138 pages | EPUB | 3 MB

Digital Gaming and the Advertising Landscape

Posted By: roxul
Digital Gaming and the Advertising Landscape

Teresa de la Hera, "Digital Gaming and the Advertising Landscape "
English | ISBN: 9462987157 | 2019 | 206 pages | PDF | 3 MB

The Symbolism of Marriage in Early Christianity and the Latin Middle Ages: Images, Impact, Cognition

Posted By: roxul
The Symbolism of Marriage in Early Christianity and the Latin Middle Ages: Images, Impact, Cognition

Line Cecilie Engh, "The Symbolism of Marriage in Early Christianity and the Latin Middle Ages: Images, Impact, Cognition "
English | ISBN: 946298591X | 2019 | 354 pages | PDF | 4 MB

Satire, Veneration, and St. Joseph in Art, c. 1300-1550

Posted By: roxul
Satire, Veneration, and St. Joseph in Art, c. 1300-1550

Anne L. Williams, "Satire, Veneration, and St. Joseph in Art, c. 1300-1550 "
English | ISBN: 9462983747 | 2019 | 244 pages | PDF | 52 MB