DMCA. Copyrighted Work that you can Claim.
Base have 820 524 books.
Search: 


πŸ“™ Introduction to the h-principle by Eliashberg Y., Mishachev N. β€” free epub


In differential geometry and topology one often deals with systems of partial differential equations, as well as partial differential inequalities, that have infinitely many solutions whatever boundary conditions are imposed. It was discovered in the fifties that the solvability of differential relations (i.e. equations and inequalities) of this kind can often be reduced to a problem of a purely homotopy-theoretic nature. One says in this case that the corresponding differential relation satisfies the $h$-principle. Two famous examples of the $h$-principle, the Nash-Kuiper $C^1$-isometric embedding theory in Riemannian geometry and the Smale-Hirsch immersion theory in differential topology, were later transformed by Gromov into powerful general methods for establishing the $h$-principle.The authors cover two main methods for proving the $h$-principle: holonomic approximation and convex integration. The reader will find that, with a few notable exceptions, most instances of the $h$-principle can be treated by the methods considered here. A special emphasis in the book is made on applications to symplectic and contact geometry. Gromov's famous book ""Partial Differential Relations"", which is devoted to the same subject, is an encyclopedia of the $h$-principle, written for experts, while the present book is the first broadly accessible exposition of the theory and its applications. The book would be an excellent text for a graduate course on geometric methods for solving partial differential equations and inequalities. Geometers, topologists and analysts will also find much value in this very readable exposition of an important and remarkable topic

About book:

About file:

  • File size: 1 210 151
  • Format: pdf


Security code:
Download button

Similar books results


Coal Information:  2007 Edition
Coal Information: 2007 Edition pdf free by international energy agency

Coal Information brings together in one volume essential statistics on coal. It therefore provides a strong foundation for policy and market analysis. Part I of the publication provides a review of the world coal market in 2006, while Part II provides a ...

Surface Engineering for Corrosion and Wear Resistance (matsci)
Surface Engineering for Corrosion and Wear Resistance (matsci) pdf free by J. R. Davis, J. R. Davis

Engineers are faced with a bewildering array of choices when selecting a surface treatment for a specific corrosion or wear application. This book provides practical information to help them select the best possible treatment. An entire chapter is devoted...

Hydraulic Modelling - An Introduction: Principles, Methods and Applications
Hydraulic Modelling - An Introduction: Principles, Methods and Applications free pdf by Pavel Novak, Vincent Guinot, Alan Jeffrey, Dominic E. Reeve

Modelling forms a vital part of all engineering design, yet many hydraulic engineers are not fully aware of the assumptions they make. These assumptions can have important consequences when choosing the best model to inform design decisions. Considering ...

Heat Transfer Applications for the Practicing Engineer
Heat Transfer Applications for the Practicing Engineer pdf free by Louis Theodore

This book serves as a training tool for individuals in industry and academia involved with heat transfer applications. Although the literature is inundated with texts emphasizing theory and theoretical derivations, the goal of this book is to present the ...

The Complete Guide to Software Testing, Second Edition
The Complete Guide to Software Testing, Second Edition free pdf by Bill Hetzel

The Complete Guide to Software Testing Bill Hetzel Gain a new perspective to software testing as a life cycle activity, not merely as something that happens at the end of coding. This edition is completely revised and contains new chapters on testing meth...

Linked Data (Synthesis Lectures on Web Engineering)
Linked Data (Synthesis Lectures on Web Engineering) free download by Tom Heath, Christian Bizer

The World Wide Web has enabled the creation of a global information space comprising linked documents. As the Web becomes ever more enmeshed with our daily lives, there is a growing desire for direct access to raw data not currently available on the Web o...

Surface Engineering for Corrosion and Wear Resistance (matsci)
Surface Engineering for Corrosion and Wear Resistance (matsci) epub download by J. R. Davis, J. R. Davis

Engineers are faced with a bewildering array of choices when selecting a surface treatment for a specific corrosion or wear application. This book provides practical information to help them select the best possible treatment. An entire chapter is devoted...

Advances in Chemical Engineering: Multiscale Analysis
Advances in Chemical Engineering: Multiscale Analysis download pdf by Guy B. Marin (Eds.)

Content: Cover -- Advances in Chemical Engineering -- Contents -- Contributors -- Preface -- A Review of Multiscale Analysis: Examples from Systems Biology, Materials Engineering, and Other Fluid-Surface Interacting Systems -- Introduction -- Deterministi...

Ciba Foundation Symposium 6 - Pathogenic Mycoplasmas
Ciba Foundation Symposium 6 - Pathogenic Mycoplasmas free epub by

Content: Chapter 1 Introduction: Principles of β€˜Mini?Life’ (pages 1–15): N. W. PirieChapter 2 Mycoplasmas as Pathogens (pages 17–37): Leonard HayflickChapter 3 Comparison Between the Structure of Animal and Plant Mycoplasmas: Extracellular and Intracellul...

Atlas of dermoscopy
Atlas of dermoscopy pdf free by

Content: Introduction. Principles of Dermatoscopy and Dermoscopic Equipment. Histopathological Tissue Correlations. The Two-step Algorithm: Differenting Melanocytic from Non-melanocytic Lesions. Non-Melanocytic Lesions. Melacytic Melanoma and Benign Me...