Inequalities

Author: G. H. Hardy,J. E. Littlewood,G. Pólya

Publisher: Cambridge University Press

ISBN: 9780521358804

Category: Mathematics

Page: 324

View: 1683

This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians.
Posted in Mathematics

Advances in Mathematical Inequalities and Applications

Author: Praveen Agarwal,Silvestru Sever Dragomir,Mohamed Jleli,Bessem Samet

Publisher: Springer

ISBN: 9811330131

Category: Mathematics

Page: 349

View: 562

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.
Posted in Mathematics

Eine Einladung in die Mathematik

Einblicke in aktuelle Forschung

Author: Dierk Schleicher,Malte Lackmann

Publisher: Springer-Verlag

ISBN: 3642257984

Category: Mathematics

Page: 228

View: 6588

Diese Einladung zur Mathematik besteht aus 14 Beiträgen, viele davon von weltweit führenden Mathematikern geschrieben, die die Leser in spannende Aspekte aktueller mathematischer Forschung einführen. Die Artikel sind so vielfältig wie die Persönlichkeiten ihrer Autoren und zeigen, wie reich und lebendig die Mathematik als Forschungsgebiet ist. Das Buch richtet sich in erster Linie an interessierte Schüler und junge Studierende, die Mathematik aus der Schule oder von Wettbewerben kennen und die aktuelle Forschungsmathematik kennenlernen wollen. Zusammen mit einem Team junger "Testleser" haben die Herausgeber und Autoren in einem intensiven Bearbeitungsprozess die Texte für junge Leser verständlich gestaltet. Schüler, Lehrer, Mathematiker und alle Mathematik-Begeisterten werden in diesem vielseitigen und spannenden Buch genussvoll lesen.
Posted in Mathematics

Function Spaces and Inequalities

New Delhi, India, December 2015

Author: Pankaj Jain,Hans-Jürgen Schmeisser

Publisher: Springer

ISBN: 981106119X

Category: Mathematics

Page: 335

View: 8174

This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.
Posted in Mathematics

Tapas in Experimental Mathematics

AMS Special Session on Experimental Mathematics, January 5, 2007, New Orleans, Louisiana

Author: Tewodros Amdeberhan,Victor H. Moll

Publisher: American Mathematical Soc.

ISBN: 0821843176

Category: Mathematics

Page: 292

View: 9267

Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns. The development of a broad spectrum of mathematical software products such as MathematicaR and MapleTM has allowed mathematicians of diverse backgrounds and interests to make the computer an essential part of their daily working environment. This volume represents the AMS Special Session on Experimental Mathematics held in January 2007 in New Orleans. This gathering is part of an annual meeting of a growing number of scientists that have been labeled experimental mathematicians. The guiding principles of the field, some of which are included in the introduction to these proceedings, are similar to those of laboratory experiments in the physical and biological sciences.
Posted in Mathematics

Convex Functions and their Applications

A Contemporary Approach

Author: Constantin Niculescu,Lars-Erik Persson

Publisher: Springer Science & Business Media

ISBN: 9780387243009

Category: Mathematics

Page: 256

View: 7100

Thorough introduction to an important area of mathematics Contains recent results Includes many exercises
Posted in Mathematics

Analytic Methods for Diophantine Equations and Diophantine Inequalities

Author: H. Davenport

Publisher: Cambridge University Press

ISBN: 9781139441230

Category: Mathematics

Page: N.A

View: 2950

Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.
Posted in Mathematics

Fouriersche Reihen

mit 4 Figuren

Author: Werner Rogosinski

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 135

View: 5250

Posted in Mathematics

Inequality Theory and Applications

Author: Yeol Je Cho,Jong Kyu Kim,Sever Silvestru Dragomir

Publisher: Nova Science Pub Incorporated

ISBN: 9781590331880

Category: Mathematics

Page: 320

View: 3854

Inequality Theory & Applications
Posted in Mathematics

The Geometry of Moduli Spaces of Sheaves

A Publication of the Max-Planck-Institut für Mathematik, Bonn

Author: Daniel Huybrechts,Manfred Lehn

Publisher: Vieweg+Teubner Verlag

ISBN: 9783663116257

Category: Technology & Engineering

Page: 270

View: 9434

This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces.
Posted in Technology & Engineering

Erfahrung Mathematik

Author: P.J. Davis,R. Hersh

Publisher: Springer-Verlag

ISBN: 3034850409

Category: Science

Page: 466

View: 836

ie ältesten uns bekannten mathematischen Schriftta D feln stammen aus der Zeit um 2400 v. ehr. ; aber wir dürfen davon ausgehen, daß das Bedürfnis, Mathematik zu schaffen, ein Ausdruck der menschlichen Zivilisation an sich ist. In vier bis fünf Jahrtausenden hat sich ein gewalti ges System von Praktiken und Begriffen - die Mathematik herangebildet, die in vielfältiger Weise mit unserem Alltag verknüpft ist. Was ist Mathematik? Was bedeutet sie? Wo mit befaßt sie sich? Was sind ihre Methoden? Wie wird sie geschaffen und benützt? Wo ist ihr Platz in der Vielgestalt der menschlichen Erfahrung? Welchen Nutzen bringt sie? Was für Schaden richtet sie an? Welches Gewicht kommt ihr zu? Diese schwierigen Fragen werden noch zusätzlich kompliziert durch die Fülle des Materials und die weitver zweigten Querverbindungen, die es dem einzelnen verun möglichen, alles zu begreifen, geschweige denn, es in seiner Gesamtheit zu erfassen und zwischen den Deckeln eines normalen Buches unterzubringen. Um von dieser Material fülle nicht erdrückt zu werden, haben sich die Autoren für eine andere Betrachtungsweise entschieden. Die Mathema tik ist seit Tausenden von Jahren ein Feld menschlicher Ak tivität. In begrenztem Rahmen ist jeder von uns ein Mathe matiker und betreibt bewußt Mathematik, wenn er zum Beispiel auf dem Markt einkauft, Tapeten ausmißt oder ei nen Keramiktopf mit einem regelmäßigen Muster verziert. In bescheidenem Ausmaß versucht sich auch jeder von uns als mathematischer Denker. Schon mit dem Ausruf «Aber Zahlen lügen nicht!» befinden wir uns in der Gesellschaft von Plato oder Lakatos.
Posted in Science

A Course of Pure Mathematics

Author: G. H. Hardy

Publisher: Cambridge University Press

ISBN: 1139643517

Category: Mathematics

Page: N.A

View: 2417

There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.
Posted in Mathematics

Geometrie der Zahlen

Author: Hermann Minkowski

Publisher: N.A

ISBN: 9783738705706

Category:

Page: 268

View: 4223

Posted in

Mathematics of Computation

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4351

Posted in Mathematics

Aspects of Sobolev-Type Inequalities

Author: L. Saloff-Coste

Publisher: Cambridge University Press

ISBN: 9780521006071

Category: Mathematics

Page: 190

View: 8731

Focusing on Poincaré, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds, this text is an advanced graduate book that will also suit researchers.
Posted in Mathematics