Imagine yourself as a senior in high school, at a successful turning point in your life: you excel in academics and extracurricular activities as you strive to make your way to college. You have achieved the first steps to becoming an independent adult, and everything seems to be going your way. You are fearless with unlimited potential. And then . . . Bang! On a family hunting trip in Mexico, your life is changed forever when you are shot in the face. The lights go out; you cant see anything. All of a sudden, the independence, the promise of a meaningful future you were working so hard to attain, has seemingly been stripped from you. You find yourself lying on the couch in the dark. Time is ticking by and opportunities are fading Do you give up or get up?
Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.
The book is the culmination of the authors' many years of teaching and research in atomic physics, nuclear and particle physics, and modern physics. It is also a crystallization of their intense passion and strong interest in the history of physics and the philosophy of science.The book gives students a broad perspective of the current understandings of the basic structures of matter from atoms, nucleus to leptons, quarks, and gluons along with the essential introductory quantum mechanics and special relativity. Fundamentals aside, the book retrospects the historical development and examines the challenging future directions of nuclear and particle physics. Interwoven within the content are up-to-date examples of very recent developments and future plans that show in detail how the techniques and ideas of atomic, nuclear, and particle physics have been used and are being used to solve important problems in basic and applied areas of physics, chemistry, and biology that are closely linked to the prevailing major societal problems in medicine, energy resources, new custom-made materials and environmental pollution, as well as areas that encroach the broad cultural and historical interest. The uncertain path of success and failure, opportunities seized and missed, and the axiom of probability and scientists' intuition in the unfolding human drama of scientific discovery are vividly presented. Throughout the highly perceptive book, readers, especially the students are encouraged to reflect on problems and ask questions.
In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
This textbook brings together nuclear and particle physics, balancing theoretical and experimental perspectives for graduates and upper undergraduates.
The present volume contains contributions presented at the NATO Advanced Study Institute on Molecular Ions held on the island of Kos, Greece, from September 30 to October 10, 1980. The meeting was attended by some 60 participants from 15 different countries. It was the first meeting devoted exclusively to the topic of molecular ions. Its vitality derived from bringing together experts and students from a wide variety of disciplines, whose studies bear upon the structure of molecular ions. The aim of the meeting was to assemble these scientists, representing many countries in Europe and North America, to discuss the advances and capabilities of the various experimental and theoretical approaches and to point out un solved problems and directions for future research. The format, in volving lecturers and students, served as a tutorial. Molecular ions play an important role in very diverse fields of nature such as reactions in the ionosphere, the processes of forma tion of molecules in dense interstellar clouds, and the magnetohydro dynamics of plasmas used for energy generation. Our understanding of the properties of molecular ions, their electronic and geometric structures, has been developing from a variety of sources, as far removed as tickling ions with radiofre quency radiation and smashing them apart at relativistic energies. Various laser techniques are described, and the queen of structural determination, spectroscopy, is well represented. On the instrumen tal side, older techniques have been perfected and new methods have evolved.
Water Worlds in the Solar System: In Search of Habitable Environments and Life is a comprehensive reference on the formation, availability, habitability potential, and astrobiological implications of water in the Solar System. The book provides understanding of the importance of water on Earth to elucidate potential water and biosignature sources on other bodies in the Solar System. It covers processes involved in the formation of Earth and its Moon, genesis of water on those bodies, events on early Earth, and other processes that are applicable to celestial bodies in the Solar System, directly correlating data available on water on other bodies to over 15 Earth analogue sites. This book forms a comprehensive overview on water in the Solar System, from formation to biosignature and habitability considerations. It is ideal for academics, researchers and students working in the field of planetary science, extraterrestrial water research and habitability potential. - Presents a comprehensive reference on water in the Solar System, developing readers' understanding of the importance and occurrence of water on Earth and beyond, all from an oceanographer's perspective - Contrasts terrestrial analogues in relation to their roles in understanding and exploring ocean worlds and habitability - Includes numerous figures, illustrations, tables and videos to help readers better understand concepts covered
This booklet provides a summary of the radiocarbon dated Quaternary history of southern British Columbia and a compilation of most radiocarbon dates of geologic significance published before 1971.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.