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A Practical Guide to Observational Astronomy
Par M. Shane Burns. 2022
A Practical Guide to Observational Astronomy provides a practical and accessible introduction to the ideas and concepts that are essential…
to making and analyzing astronomical observations. A key emphasis of the book is on how modern astronomy would be impossible without the extensive use of computers, both for the control of astronomical instruments and the subsequent data analysis. Astronomers now need to use software to access and assess the data they produce, so understanding how to use computers to control equipment and analyze data is as crucial to modern astronomers as a telescope. Therefore, this book contains an array of practical problems for readers to test their knowledge, in addition to a wealth of examples and tutorials using Python on the author’s website, where readers can download and create image processing scripts. This is an excellent study guide or textbook for an observational astronomy course for advanced undergraduate and graduate astronomy and physics students familiar with writing and running simple Python scripts. Key Features Contains the latest developments and technologies from astronomical observatories and telescope facilities on the ground and in space Accompanied by a companion website with examples, tutorials, Python scripts, and resources Authored by an observational astronomer with over thirty years of observing and teaching experience About the Author M. Shane Burns earned his BA in physics at UC San Diego in 1979. He began graduate work at UC Berkeley in 1979, where he worked on an automated search for nearby supernovae. After being awarded a PhD in 1985, Professor Burns became a postdoctoral researcher at the University of Wyoming. He spent the summer of 1988 as a visiting scientist at Lawrence Berkeley National Lab, where he helped found the Supernova Cosmology Project (SCP). He continued to work as a member of the SCP group while a faculty member at Harvey Mudd College, the US Air Force Academy, and Colorado College. The 2011 Nobel Prize in Physics was awarded to the leader of the SCP for the group’s "discovery of the accelerating expansion of the Universe through observations of distant supernovae." During his career, Professor Burns has observed using essentially all of the world’s great observatories, including the Keck Observatory and the Hubble Space Telescope.Quantum Mechanics: Non-Relativistic and Relativistic Theory
Par Lukong Cornelius Fai. 2022
This book presents an accessible treatment of non-relativistic and relativistic quantum mechanics. It is an ideal textbook for undergraduate and…
graduate physics students, and is also useful to researchers in theoretical physics, quantum mechanics, condensed matter, mathematical physics, quantum chemistry, and electronics. This student-friendly and self-contained textbook covers the typical topics in a core undergraduate program, as well as more advanced, graduate-level topics with an elegant mathematical rigor, contemporary style, and rejuvenated approach. It balances theory and worked examples, which reinforces readers' understanding of fundamental concepts. The analytical methods employed in this book describe physical situations with mathematical rigor and in-depth clarity, emphasizing the essential understanding of the subject matter without need for prior knowledge of classical mechanics, electromagnetic theory, atomic structure, or differential equations. Key Features: • Remains accessible but incorporates a rigorous, updated mathematical treatment• Laid out in a student-friendly structure• Balances theory with its application through examples Lukong Cornelius Fai is a professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang, Cameroon. He is Head of Condensed Matter and Nanomaterials as well as the Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science in Physics and Mathematics (1991) as well as a Doctor of Science in Physics and Mathematics (1997) from Moldova State University. He is the author of over 170 scientific publications and five textbooks.Essential Astrophysics: Interstellar Medium to Stellar Remnants
Par Shantanu Basu, Pranav Sharma. 2022
This book takes a reader on a tour of astronomical phenomena: from the vastness of the interstellar medium, to the…
formation and evolution of stars and planetary systems, through to white dwarfs, neutron stars, and black holes, the final objects of the stellar graveyard. At its heart, this book is a journey through the evolutionary history of the birth, life, and death of stars, but detours are also made to other related interesting topics. This highly accessible story of the observed contents of our Galaxy includes intuitive explanations, informative diagrams, and basic equations, as needed. It is an ideal guide for undergraduates with some physics and mathematics background who are studying astronomy and astrophysics. It is also accessible to interested laypeople, thanks to its limited equations. Key features: Includes coverage of some of the latest exciting research from the field, including star formation, exoplanets, and black holes Can be utilised as a stand-alone textbook for a one-term course or as a supplementary textbook for a more comprehensive course on astronomy and astrophysics Authored by a team respected for research, education, and outreach Shantanu Basu is an astrophysicist and a professor at The University of Western Ontario, Canada. He is known for research contributions on the formation of gravitationally-collapsed objects in the universe: stars, planets, brown dwarfs, and supermassive black holes. He is one of the originators of the migrating embryo scenario of episodic accretion onto young stars. He has been recognized for his teaching excellence and his contributions to the astronomical community include organizing many conferences and training schools. Pranav Sharma is an astronomer and science historian known for his work on the history of the Indian Space Program. He has curated the Space Museum at the B. M. Birla Science Centre (Hyderabad, India). He is in-charge of the history of Indo-French scientific partnership project supported by the Embassy of France in India. He is a national-award-winning science communicator and has extensively worked on the popularization of astronomy education in India.Remote Sensing of Turbulence
Par Victor Raizer. 2022
This book offers a unique multidisciplinary integration of the physics of turbulence and remote sensing technology. Remote Sensing of Turbulence…
provides a new vision on the research of turbulence and summarizes the current and future challenges of monitoring turbulence remotely. The book emphasizes sophisticated geophysical applications, detection, and recognition of complex turbulent flows in oceans and the atmosphere. Through several techniques based on microwave and optical/IR observations, the text explores the technological capabilities and tools for the detection of turbulence, their signatures, and variability. FEATURES Covers the fundamental aspects of turbulence problems with a broad geophysical scope for a wide audience of readers Provides a complete description of remote-sensing capabilities for observing turbulence in the earth’s environment Establishes the state-of-the-art remote-sensing techniques and methods of data analysis for turbulence detection Investigates and evaluates turbulence detection signatures, their properties, and variability Provides cutting-edge remote-sensing applications for space-based monitoring and forecasts of turbulence in oceans and the atmosphere This book is a great resource for applied physicists, the professional remote sensing community, ecologists, geophysicists, and earth scientists.The Method of Moments in Electromagnetics
Par Walton C. Gibson. 2022
The Method of Moments in Electromagnetics, Third Edition details the numerical solution of electromagnetic integral equations via the Method of…
Moments (MoM). Previous editions focused on the solution of radiation and scattering problems involving conducting, dielectric, and composite objects. This new edition adds a significant amount of material on new, state-of-the art compressive techniques. Included are new chapters on the Adaptive Cross Approximation (ACA) and Multi-Level Adaptive Cross Approximation (MLACA), advanced algorithms that permit a direct solution of the MoM linear system via LU decomposition in compressed form. Significant attention is paid to parallel software implementation of these methods on traditional central processing units (CPUs) as well as new, high performance graphics processing units (GPUs). Existing material on the Fast Multipole Method (FMM) and Multi-Level Fast Multipole Algorithm (MLFMA) is also updated, blending in elements of the ACA algorithm to further reduce their memory demands. The Method of Moments in Electromagnetics is intended for students, researchers, and industry experts working in the area of computational electromagnetics (CEM) and the MoM. Providing a bridge between theory and software implementation, the book incorporates significant background material, while presenting practical, nuts-and-bolts implementation details. It first derives a generalized set of surface integral equations used to treat electromagnetic radiation and scattering problems, for objects comprising conducting and dielectric regions. Subsequent chapters apply these integral equations for progressively more difficult problems such as thin wires, bodies of revolution, and two- and three-dimensional bodies. Radiation and scattering problems of many different types are considered, with numerical results compared against analytical theory as well as measurements.Fluid Waves
Par Richard Manasseh. 2022
The book derives the mathematical basis for the most encountered waves in science and engineering. It gives the basis to…
undertake calculations required for important occupations such as maritime engineering, climate science, urban noise control, and medical diagnostics. The book initiates with fluid dynamics basis with subsequent chapters covering surface gravity waves, sound waves, internal gravity waves and waves in rotating fluids, and details basic phenomena such as refraction. Thereafter, specialized application chapters include description of specific contemporary problems. All concepts are supported by narrative examples, illustrations, and case studies. Features:- Explains the basis of wave mechanics in fluid systems. Provides tools for the analysis of water waves, sound waves, internal gravity, and rotating fluid waves through different examples. Includes comprehensible mathematical derivations at the expense of fewer theoretical topics. Reviews cases describable by linear theory and cases requiring nonlinear and wave-interaction theories. Supports concepts with narrative examples, illustrations, and case studies. This book aims at Senior Undergraduates/Graduate students and Researchers in Fluid Mechanics, Applied Mathematics, Mechanical Engineering, Civil Engineering, and Physical Oceanography.Newtonian Dynamics: An Introduction
Par Richard Fitzpatrick. 2022
This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that…
Newton’s three laws of motion, combined with a few simple force laws, can not only describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics course. The book will start off at a level suitable for undergraduate (freshman) physics students and will very gradually increase, until, towards the end, it will approach (but not quite reach) a level characteristic of a graduate (senior) physics course. Each chapter of the book will end with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises will be specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely. Key features: Provides a brief and accessible introduction to a complex topic. Contains a thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts. Provides a wealth of end-of-chapter exercises to test understanding.An Introduction To Chaotic Dynamical Systems
Par Robert L. Devaney. 2022
There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of…
science. The results have been truly exciting: systems which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. Scientists and engineers realize the power and the beauty of the geometric and qualitative techniques. These techniques apply to a number of important nonlinear problems ranging from physics and chemistry to ecology and economics. Computer graphics have allowed us to view the dynamical behavior geometrically. The appearance of incredibly beautiful and intricate objects such as the Mandelbrot set, the Julia set, and other fractals have really piqued interest in the field. This is text is aimed primarily at advanced undergraduate and beginning graduate students. Throughout, the author emphasizes the mathematical aspects of the theory of discrete dynamical systems, not the many and diverse applications of this theory. The field of dynamical systems and especially the study of chaotic systems has been hailed as one of the important breakthroughs in science in the past century and its importance continues to expand. There is no question that the field is becoming more and more important in a variety of scientific disciplines. New to this edition: •Greatly expanded coverage complex dynamics now in Chapter 2•The third chapter is now devoted to higher dimensional dynamical systems.•Chapters 2 and 3 are independent of one another.•New exercises have been added throughout.The Geometry of Special Relativity (Textbooks in Mathematics)
Par Tevian Dray. 2021
This unique book presents a particularly beautiful way of looking at special relativity. The author encourages students to see beyond…
the formulas to the deeper structure.The unification of space and time introduced by Einstein’s special theory of relativity is one of the cornerstones of the modern scientific description of the universe. Yet the unification is counterintuitive because we perceive time very differently from space. Even in relativity, time is not just another dimension, it is one with different propertiesThe book treats the geometry of hyperbolas as the key to understanding special relativity. The author simplifies the formulas and emphasizes their geometric content. Many important relations, including the famous relativistic addition formula for velocities, then follow directly from the appropriate (hyperbolic) trigonometric addition formulas.Prior mastery of (ordinary) trigonometry is sufficient for most of the material presented, although occasional use is made of elementary differential calculus, and the chapter on electromagnetism assumes some more advanced knowledge.Changes to the Second Edition The treatment of Minkowski space and spacetime diagrams has been expanded. Several new topics have been added, including a geometric derivation of Lorentz transformations, a discussion of three-dimensional spacetime diagrams, and a brief geometric description of "area" and how it can be used to measure time and distance. Minor notational changes were made to avoid conflict with existing usagein the literature. Table of Contents Preface1. Introduction.2. The Physics of Special Relativity.3. Circle Geometry.4. Hyperbola Geometry. 5. The Geometry of Special Relativity. 6. Applications.7. Problems III.8. Paradoxes.9. Relativistic Mechanics.10. Problems II.11. Relativistic Electromagnetism. 12. Problems III.13. Beyond Special Relativity. 14. Three-Dimensional Spacetime Diagrams.15. Minkowski Area via Light Boxes.16. Hyperbolic Geometry.17. Calculus.Bibliography. Author Biography Tevian Dray is a Professor of Mathematics at Oregon State University. His research lies at the interface between mathematics and physics, involving differential geometry and general relativity, as well as nonassociative algebra and particle physics; he also studies student understanding of "middle-division" mathematics and physics content. Educated at MIT and Berkeley, he held postdoctoral positions in both mathematics and physics in several countries prior to coming to OSU in 1988. Professor Dray is a Fellow of the American Physical Society for his work in relativity, and an award-winning teacher.Nanoscale Quantum Materials: Musings on the Ultra-Small World
Par Tapash Chakraborty. 2022
In the past four decades, there has been growing interest in the exciting new topic of physics in low dimensions.…
Thousands of original ideas have been proposed in the literature, and some are confirmed experimentally, along with several Nobel prizes which have been awarded in this field. While there are several books available, almost all are technical and accessible only to expert researchers. This book provides an accessible introduction to the field, with less emphasis on technical details. Whilst this book does not provide a traditional history of nano-science, instead it uses simple explanations and case studies as vehicles to explain key discoveries and the importance of them, enabling readers without a background in the area to gain an understanding of some aspects of nanoscale physics. It will be of interest to researchers working in condensed matter physics, in addition to engineers and advanced students in those disciplines. It also remains accessible to ‘physics enthusiasts’ from other academic disciplines, as technical details are contained within boxes and footnotes which can be skipped for a general reading of the book. Features:- Provides an accessible introduction to a technical subject- Contains exciting developments from the cutting-edge science being conducted in the area - Authored by a recognised expert in the fieldMultilayer Magnetic Nanostructures: Properties and Applications (Springer Aerospace Technology)
Par Alexander S. Sigov. 2023
This book presents relevant issues for the development of computer technology in general and civil aviation in particular, related to…
the promising task of developing magnetoresistive memory. In modern conditions of constantly increasing air traffic intensity, it is necessary to use both on board the aircraft and in ground services computing devices that guarantee the required level of flight safety. The book shows that in the multilayer ferromagnet-antiferromagnet system, the behavior of magnetic parameters in layers of nanometer thickness is largely determined by frustrations. The monograph provides not only a complete analysis of the current state of magnetic nanostructures but also predicts new types generated by exchange interaction frustrations. The phase diagrams "layer thickness (layers)—roughness" of a thin ferromagnetic film on an antiferromagnetic substrate and a spin-valve system ferromagnet-antiferromagnet-ferromagnet are constructed taking into account the energy of single-ion anisotropy. The book presents experimental results that confirm the existence of a new type of domain walls. It is shown that the detected domain walls appear exactly at the locations of the atomic steps, and their thickness increases in proportion to the film thickness with a proportionality coefficient of the order of one. Special attention using mathematical models is placed for optimal orientation of spins at a smooth interface in the case of a compensated cross section of an antiferromagnet and an uncompensated cross section. The constructed phase diagrams and models are compared with the experiments. It is thus concluded that scanning tunneling microscopy (STM) makes it possible to study domain walls generated by frustration on the surface of the structure.ELECTRIMACS 2022: Selected Papers – Volume 1 (Lecture Notes in Electrical Engineering #993)
Par Serge Pierfederici, Jean-Philippe Martin. 2023
This book collects a selection of papers presented at ELECTRIMACS 2021, the 14th international conference of the IMACS TC1 Committee,…
held in Nancy, France, on 16th-19th May 2022. The conference papers deal with modelling, simulation, analysis, control, power management, design optimization, identification and diagnostics in electrical power engineering. The main application fields include electric machines and electromagnetic devices, power electronics, transportation systems, smart grids, renewable energy systems, energy storage like batteries and supercapacitors, fuel cells, and wireless power transfer. The contributions included in Volume 1 will be particularly focused on electrical engineering simulation aspects and innovative applications.Gold Medal Physics: The Science of Sports
Par John Eric Goff. 2010
A physicist explains the science behind some of the greatest feats in sports history—from diving like Greg Louganis to bending…
it like Beckham.Nothing is quite as thrilling as watching superior athletes do the seemingly impossible. From Doug Flutie's "Hail Mary" pass to Lance Armstrong's record-breaking climb of Alp d'Huez to David Beckham's astounding ability to bend a soccer kick, we marvel and wonder, "How did they do that?" Well, physics professor John Eric Goff has the answers.In this scientific tour of the wide world of sports, John Eric Goff discusses the science behind American football, soccer, cycling, skating, diving, long jumping, and a host of other competitive sports. Using elite athletes as starting points, Goff explains the basic physical properties involved in amazing and everyday athletic endeavors. Accompanied by illustrations and mathematical equations, each chapter builds on knowledge imparted in earlier chapters to provide a firm understanding of the concepts involved.Fun, witty, and imbued throughout with admiration for the simple beauty of physics, Gold Medal Physics is sure to inspire readers to think differently about the next sporting event they watch.Serving the Reich: The Struggle for the Soul of Physics under Hitler
Par Philip Ball. 2014
After World War II, most scientists in Germany maintained that they had been apolitical or actively resisted the Nazi regime,…
but the true story is much more complicated. In Serving the Reich, Philip Ball takes a fresh look at that controversial history, contrasting the career of Peter Debye, director of the Kaiser Wilhelm Institute for Physics in Berlin, with those of two other leading physicists in Germany during the Third Reich: Max Planck, the elder statesman of physics after whom Germany’s premier scientific society is now named, and Werner Heisenberg, who succeeded Debye as director of the institute when it became focused on the development of nuclear power and weapons. Mixing history, science, and biography, Ball’s gripping exploration of the lives of scientists under Nazism offers a powerful portrait of moral choice and personal responsibility, as scientists navigated "the grey zone between complicity and resistance. ” Ball’s account of the different choices these three men and their colleagues made shows how there can be no clear-cut answers or judgement of their conduct. Yet, despite these ambiguities, Ball makes it undeniable that the German scientific establishment as a whole mounted no serious resistance to the Nazis, and in many ways acted as a willing instrument of the state. Serving the Reich considers what this problematic history can tell us about the relationship of science and politics today. Ultimately, Ball argues, a determination to present science as an abstract inquiry into nature that is "above politics” can leave science and scientists dangerously compromised and vulnerable to political manipulation.The ABC of Relativity (Routledge Classics Ser.)
Par Bertrand Russell. 1997
The Nobel Prize winner offers &“an ideal introduction to the theories of special and general relativity&” in clear, comprehensible language(Nature).…
A renowned mathematician and philosopher, and as well as recipient of the Nobel Prize in Literature, Bertrand Russell was acclaimed for his ability to address complex subjects in accessible ways. In this classic reference book, Russell delves into physics and relativity, helping everyday readers grasp the genius and implications of Albert Einstein&’s theory. When originally published in 1925, The ABC of Relativity brought science to a more general audience—and it continues to do so in the twenty-first century. &“A mind of dazzling brilliance.&” —The New York TimesAn “extraordinary guide to the hidden secrets of modern man-made miracles . . . Highly recommended” —from the author of Froth!: The…
Science of Beer (Midwest Book Review).Ever wonder how a graceful and slender bridge can support enormous loads over truly astonishing spans? Why domes and free-standing arches survive earthquakes that flatten the rest of a city?Physicist Mark Denny looks at the large structures around us—tall buildings, long bridges, and big dams—and explains how they were designed and built and why they sometimes collapse, topple, or burst.Denny uses clear, accessible language to explain the physics behind such iconic structures as the Parthenon, the Eiffel Tower, the Forth Rail Bridge in Edinburgh, and Hoover Dam. His friendly approach allows readers to appreciate the core principles that keep these engineering marvels upright without having to master complex mathematical equations.Employing history, humor, and simple physics to consider such topics as when to use screws or nails, what trusses are, why iron beams are often I-shaped, and why medieval cathedrals have buttresses, Denny succeeds once again in making physics fun.Praise for Mark Denny“Denny’s wry humor is fun to read and made me laugh out loud.” —Mark Kidger, author of Astronomical Enigmas“Denny largely sheds the complexity of mathematical constructs, distilling their most salient features into a more qualitative understanding of radar and sonar systems.” —Choice“Indeed, Denny’s writing is anything but dry and boring. He adeptly explains complex subject matter and does so with relatively simple language and minimal use of symbolic notation.” —Bat Research NewsEinstein's Greatest Mistake: A Biography
Par David Bodanis. 2016
From the best-selling author of E=mc2, a brisk, accessible biography of Albert Einstein that reveals the genius and hubris of…
the titan of modern physicsWidely considered the greatest genius of all time, Albert Einstein revolutionized our understanding of the cosmos with his general theory of relativity and helped lead us into the atomic age. Yet in the final decades of his life, he was ignored by most working scientists, and his ideas were opposed by even his closest friends. How did this happen? Einstein's imagination and self-confidence served him well when he was young. But when it came to the new field of quantum mechanics, the same traits undermined him. Bestselling biographer David Bodanis traces Einstein from the skeptical, erratic student to the world's most brilliant physicist--and then to the desolate, fallen-from-grace celebrity. An intimate biography touching on the romances and rivalries of the celebrated physicist, as much as on his scientific goals, Einstein's Greatest Mistake reveals what we owe Einstein today--and how much more he might have achieved if not for his all-too-human flaws.The Concept of Matter: A Journey from Antiquity to Quantum Physics (History of Physics)
Par Florestano Evangelisti. 2023
Our current concept of matter, one of scientific research’s greatest successes, represents a long journey, from questions posed during the…
birth of philosophy in Ancient Greece to recent advances in physics and chemistry, including Quantum Physics. This book outlines that journey. The book has three parts, each detailing a phase of the journey. The first saw the development of a conception based on "classical" physics; the second saw the construction of the "old" quantum theory attempting to explain the mysterious properties of matter, resulting in formulation of the "new" quantum theory; the third saw the formation of the modern conception of matter, based on quantum mechanics. Along the way, various topics are discussed, including: rediscovery and appropriation of antiquity by Western culture in the modern era; the subsequent revision process in the 16th and 17th centuries and the new experiments and theories of the 18th; attempts to understand the mysterious properties of matter that could not be explained by classical physics; the first quantization hypotheses; discovery of new purely "quantum-mechanical" properties of matter; and the ultimate clarification of atomic structure. This book is aimed at anyone who wants a clear picture of how we arrived at the modern conception of matter.This book offers step-by-step descriptions of various random systems and explores the world of computer simulations. In addition, this book…
offers a working introduction to those who want to learn how to create and run Monte Carlo simulations. Monte Carlo simulation has been a powerful computational tool for physics models, and when combined with the programming language Excel, this book is a valuable resource for readers who wish to acquire knowledge that can be applied to more complex systems. Visualization of the simulation results via the Visual Basic built in Microsoft EXCEL is presented as the first step towards the subject. Prior experience with the Excel add-in VBA is kept to a minimum. In addition, a chapter on quantum optimization simulation utilizing Python is added to explore the quantum computation. Readers will gain a fundamental knowledge and techniques of simulation physics, which can be extended to STEM projects and other research projects.La naturaleza del espacio y del tiempo
Par Stephen Hawking, Roger Penrose. 2011
Un interesante y fascinante debate entre dos gigantes de la ciencia, Stephen Hawking y Roger Penrose, sobre el origen y…
el futuro del universo. Einstein afirmaba que lo más incomprensible acerca del universo es que es comprensible. ¿Estaba en lo cierto? ¿Pueden la teoría cuántica de campos y la teoría de la relatividad general de Einstein, las dos teorías, más precisas y exitosas de toda la física, unirse en una única teoría cuántica de la gravedad? Aunque se ha avanzado mucho en esta búsqueda, Hawking y Penrose insisten en que es necesario llegar mucho más lejos. En La naturaleza del espacio y el tiempo, estos dos gigantes de la física entablan un debate fundamental sobre el origen del universo. Un libro escrito a cuatro manos, con un epílogo actualizado, en el que los autores resumen cómo los recientes acontecimientos han provocado que sus posturas difieran en cuestiones tan importantes como la geometría espacial del universo o la paradoja de la desaparición de información en los agujeros negros. La prensa especializada opina...«Una obra reveladora sobre dos aproximaciones distintas a algunos de los mayores problemas sin resolver de la gravitación y la cosmología.»New Scientist «Un debate entre Hawking y Penrose alimenta las expectativas del lector por asistir a un intercambio extraordinario de ideas. En este texto, animado con el sentido del humor de Hawking, las expectativas se cumplen con creces.»The Higher Education «Un magnífico y estimulante intercambio intelectual entre dos mentes de primera categoría.»Library Journal «Una lectura interesantísima para el presente que promete ser aún más interesante para las futuras generaciones de físicos.»Science «Un documento de gran rigor científico.»Physics World