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Climbing The Limitless Ladder: A Life In Chemistry
  • Language: en
  • Pages: 233

Climbing The Limitless Ladder: A Life In Chemistry

This invaluable book is an autobiographical account of doing scientific research in India. It provides an insight to the perseverance of a scientist from a developing country. His relentless pursuit of excellence in chemistry for more than half a century is a remarkable source of inspiration to young scientists facing modern-day challenges.

Twas: A Voice For Science In The South
  • Language: en
  • Pages: 253

Twas: A Voice For Science In The South

Science in the developing world has experienced historic change over the past 30 years. Nations that lacked resources for even basic science have since developed world-class research centres. Men and women who previously had no chance of pursuing scientific careers in their own countries now thrive in home-grown universities and laboratories dedicated to scientific excellence.The World Academy of Sciences (TWAS) has been front and centre during this remarkable transformation. A Voice for Science in the South tells the story of TWAS through the eyes of 11 eminent scientists associated with the Academy. They speak of the organization's challenges and triumphs, and describe what TWAS has meant for their careers and the careers of thousands of scientists in the developing world. They also explore the challenges that lie ahead for TWAS and, more generally, for science in the South. It is a story of unprecedented global change and an account of what must be done to ensure that all nations can share in the benefits that emerge when science is woven into the fabric of society.

New Trends in One-Dimensional Dynamics
  • Language: en
  • Pages: 333

New Trends in One-Dimensional Dynamics

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

Mathematics and the 21st Century
  • Language: en
  • Pages: 412

Mathematics and the 21st Century

The Conference on "Mathematics and the 21st Century" was held in Cairo, Egypt during the period 15-20 January 2000. The conference's sessions consisted of plenary lectures and topical sessions. Some of the plenary lectures covered general fields such as: rewriting the history of mathematics; education of mathematics; relation between mathematics and sciences; and mathematical aspects of transportation.

Jacob Palis - Selected Works
  • Language: en

Jacob Palis - Selected Works

  • Type: Book
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  • Published: 2016-11-05
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  • Publisher: Springer

The Theory of Dynamical Systems was first introduced by the great mathematician Henri Poincaré as a qualitative study of differential equations. For more than forty years, Jacob Palis has made outstanding contributions to this area of mathematics. In the 1970s, following in the wake of Stephen Smale, he became one of the major figures in developing the Theory of Hyperbolic Dynamics and Structural Stability. This volume presents a selection of Jacob Palis’ mathematical contributions, starting with his PhD thesis and ending with papers on what is widely known as the Palis Conjecture. Most of the papers included in the present volume are inspired by the earlier work of Poincaré and, more re...

Dynamics and Control of Multibody Systems
  • Language: en
  • Pages: 488

Dynamics and Control of Multibody Systems

The study of complex, interconnected mechanical systems with rigid and flexible articulated components is of growing interest to both engineers and mathematicians. Recent work in this area reveals a rich geometry underlying the mathematical models used in this context. In particular, Lie groups of symmetries, reduction, and Poisson structures play a significant role in explicating the qualitative properties of multibody systems. In engineering applications, it is important to exploit the special structures of mechanical systems. For example, certain mechanical problems involving control of interconnected rigid bodies can be formulated as Lie-Poisson systems. The dynamics and control of robot...

Differential Equations
  • Language: en
  • Pages: 553

Differential Equations

This graduate-level introduction to ordinary differential equations combines both qualitative and numerical analysis of solutions, in line with Poincaré's vision for the field over a century ago. Taking into account the remarkable development of dynamical systems since then, the authors present the core topics that every young mathematician of our time—pure and applied alike—ought to learn. The book features a dynamical perspective that drives the motivating questions, the style of exposition, and the arguments and proof techniques. The text is organized in six cycles. The first cycle deals with the foundational questions of existence and uniqueness of solutions. The second introduces t...

Global Analysis of Dynamical Systems
  • Language: en
  • Pages: 498

Global Analysis of Dynamical Systems

  • Type: Book
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  • Published: 2001-06-18
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  • Publisher: CRC Press

Contributed by close colleagues, friends, and former students of Floris Takens, Global Analysis of Dynamical Systems is a liber amicorum dedicated to Takens for his 60th birthday. The first chapter is a reproduction of Takens's 1974 paper "Forced oscillators and bifurcations" that was previously available only as a preprint of the University of Utrecht. Among other important results, it contains the unfolding of what is now known as the Bogdanov-Takens bifurcation. The remaining chapters cover topics as diverse as bifurcation theory, Hamiltonian mechanics, homoclinic bifurcations, routes to chaos, ergodic theory, renormalization theory, and time series analysis. In its entirety, the book bears witness to the influence of Takens on the modern theory of dynamical systems and its applications. This book is a must-read for anyone interested in this active and exciting field.

The Collected Papers of Stephen Smale
  • Language: en
  • Pages: 532

The Collected Papers of Stephen Smale

This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1
  • Language: en
  • Pages: 524

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1

This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.