The first complete proof of Arnold diffusion-one of the most important problems in dynamical systems and mathematical physicsArnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics.
Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable.
How mathematics helped build the world's most important buildings from early Egypt to the presentFrom the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings.
An essential introduction to the analysis and verification of control system softwareThe verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive.
How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to changeCalculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today.
A comprehensive introduction to hybrid control systems and designHybrid control systems exhibit both discrete changes, or jumps, and continuous changes, or flow.
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "e;simple"e; Shimura varieties.
This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime.
A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics.
Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music.
This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophyMathematics and Computation provides a broad, conceptual overview of computational complexity theorythe mathematical study of efficient computation.
Late nineteenth-century England witnessed the emergence of a vociferous and well-organzied movement against the use of living animals in scientific research, a protest that threatened the existence of experimental medicine.
This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography.
An authoritative overview of the concepts and applications of biological demographyThis book provides a comprehensive introduction to biodemography, an exciting interdisciplinary field that unites the natural science of biology with the social science of human demography.
The first collection and translation into English of the earliest biographical accounts of Galileo's lifeThis unique critical edition presents key early biographical accounts of the life and work of Galileo Galilei (1564-1642), written by his close contemporaries.
Quantitative approaches to evolutionary biology traditionally consider evolutionary change in isolation from an important pressure in natural selection: the demography of coevolving populations.
Recognizing that robust decision making is vital in risk management, this book provides concepts and algorithms for computing the best decision in view of the worst-case scenario.
It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "e;pure"e; algebro-geometric families of character sums over finite fields (and of their associated L-functions).
An eye-opening and vital account of the future of our earth and our civilisation if current rates of global warming persist, by the highly acclaimed author of 'High Tide'.
SUNDAY TIMES BESTSELLERThe creator of the Gaia hypothesis and the greatest environmental thinker of our time has produced an astounding new theory about the future of life on Earth.
In its concern with science as an essentially human enterprise, Science, Faith and Society makes an original and challenging contribution to the philosophy of science.
In Of Two Minds, noted hypertext novelist and writing teacher Michael Joyce explores the new technologies, mediums, and modalities for teaching and writing, ranging from interactive multimedia to virtual reality.
New edition of the authoritative introduction to molecular photosynthesis The Fourth Edition of Molecular Mechanisms of Photosynthesis delivers a brand-new update to the most authoritative textbook on the subject of photosynthesis, with important new information on timely topics including mechanisms and oxygen production.
A milestone in the geometric understanding of algebraization theorems that also provides an introduction to Arakelov geometryMotivated by questions of transcendental number theory, arithmetic, and Diophantine geometry, this book provides a thorough study of a new kind of mathematical objectformal-analytic arithmetic surfaces.
