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lxiv, 302 pages : illustrations ; 24 cm.
  • 1. Introduction 2. A Note on the Text 3. Complete Italian Text: newly edited according to the so-called vulgate version 4. Translation of the Dedication (+ notes) 5. Translation of Dialogue 1 (+ notes) 6. Translation of Dialogue 2 (+ notes) 7. Translation of Dialogue 3 (+ notes) 8. Translation of Dialogue 4 (+ notes) 9. Translation of Dialogue 5 (+ notes) 10. Appendix: Alternative Italian text of folio D 11. Appendix: Alternative English translation of folio D 12. Bibliography of Cited Works.
  • (source: Nielsen Book Data)9781487521400 20180416
Giordano Bruno's The Ash Wednesday Supper presents a revolutionary cosmology founded on the new Copernican astronomy that Bruno extends to infinite dimensions, filling it with an endless number of planetary systems.
(source: Nielsen Book Data)9781487501440 20180416
Giordano Bruno's The Ash Wednesday Supper is the first of six philosophical dialogues in Italian that he wrote and published in London between 1584 and 1585. It presents a revolutionary cosmology founded on the new Copernican astronomy that Bruno extends to infinite dimensions, filling it with an endless number of planetary systems. As well as opening up the traditional closed universe and reducing earth to a tiny speck in an overwhelmingly immense cosmos, Bruno offers a lively description of his clash of opinions with the conservative academics and theologians he argued with in Oxford and London. This volume, containing what has recently been claimed as the final version of Bruno's Ash Wednesday Supper, presents a new translation based on a newly edited text, with critical comment that takes account of the most current discussion of the textual, historical, cosmological and philosophical issues raised in this dialogue. It considers Bruno's work as a seminal text of the late European renaissance.
(source: Nielsen Book Data)9781487521400 20180416
Green Library
1 online resource.
  • 1. Bayesian inference and computation: a beginner's guide Brendon J. Brewer-- 2. Inverse problems in astronomy Jean-Luc Starck-- 3. Bayesian inference in extra-solar planet searches Phil Gregory-- 4. Bayesian cosmology Roberto Trotta-- 5. An introduction to objective Bayesian statistics Jose M. Bernardo.
  • (source: Nielsen Book Data)9781316182406 20180730
Bayesian methods are being increasingly employed in many different areas of research in the physical sciences. In astrophysics, models are used to make predictions to be compared to observations. These observations offer information that is incomplete and uncertain, so the comparison has to be pursued by following a probabilistic approach. With contributions from leading experts, this volume covers the foundations of Bayesian inference, a description of computational methods, and recent results from their application to areas such as exoplanet detection and characterisation, image reconstruction, and cosmology. It appeals to both young researchers seeking to learn about Bayesian methods as well as to astronomers wishing to incorporate these approaches in their research areas. It provides the next generation of researchers with the tools of modern data analysis that are already becoming standard in current astrophysical research.
(source: Nielsen Book Data)9781316182406 20180730
xxv, 252 pages : illustrations ; 24 cm.
Green Library
1 online resource.
  • List of contributors-- List of participants-- Preface-- Acknowledgments-- 1. Astrophysical magnetic fields: essentials J. Sanchez Almeida and M. J. Martinez Gonzalez-- 2. Solar magnetic fields. History, tragedy or comedy? P. G. Judge-- 3. Stellar magnetic fields O. Kochukhov-- 4. The role of magnetic fields in AGN activity and feedback R. Keppens, O. Porth and H. J. P. Goedbloed-- 5. Magnetic fields in galaxies R. Beck-- 6. Primordial magnetic fields in the Early Universe and CMB anisotropies F. Finelli and D. Paoletti.
  • (source: Nielsen Book Data)9781108640770 20180521
Magnetic fields pervade the universe and play an important role in many astrophysical processes. However, they require specialised observational tools, and are challenging to model and understand. This volume provides a unified view of magnetic fields across astrophysical and cosmological contexts, drawing together disparate topics that are rarely covered together. Written by the lecturers of the XXV Canary Islands Winter School, it offers a self-contained introduction to cosmic magnetic fields on a range of scales. The connections between the behaviours of magnetic fields in these varying contexts are particularly emphasised, from the relatively small and close ranges of the Sun, planets and stars, to galaxies and clusters of galaxies, as well as on cosmological scales. Aimed at young researchers and graduate students, this up-to-date review uniquely brings together a subject often tackled by disconnected communities, conveying the latest advances as well as highlighting the limits of our current understanding.
(source: Nielsen Book Data)9781108640770 20180521
1 online resource.
  • Introduction.- Scale Invariant Inflation.- An Asymmetric Universe from Inflation.- Baryogenesis During Reheating via the Ratchet Mechanism.- Gravitational Waves and the Cosmic Neutrino Background.- Concluding Remarks and Outlook.
  • (source: Nielsen Book Data)9783319947143 20180910
  • References3 An Asymmetric Universe from Inflation; 3.1 The Matter-Antimatter Asymmetry; 3.1.1 The Sakharov Conditions; 3.1.2 Asymmetric Dark Matter; 3.2 Topological Vacuum States and the Chern-Simons Number; 3.2.1 Instanton and Sphaleron Transistions; 3.3 A Model of Inflationary Cogenesis; 3.3.1 Models with an Anomalous U(1)X; 3.4 Dynamics of an Anomalous Gauge Field During Inflation; 3.5 Simultaneous Generation of Luminous and Dark Matter During Inflation; 3.6 //ρB and ηB; 3.7 Conclusions and Future Prospects; References; 4 Baryogenesis During Reheating via the Ratchet Mechanism
The successes of the standard models of particle physics and cosmology are many, but have proven incapable of explaining all the phenomena that we observe. This book investigates the potentially important role of quantum physics, particularly quantum anomalies, in various aspects of modern cosmology, such as inflation, the dynamical generation of the visible and dark matter in the universe, and gravitational waves. By doing so, the authors demonstrate that exploring the links between cosmology and particle physics is key to helping solve the mysteries of our Universe.
(source: Nielsen Book Data)9783319947143 20180910
1 online resource (115 p.) : col. ill.
  • Vital statistics
  • Anatomy of the Sun
  • Blemishes on the Sun
  • The sphere of influence
  • Tools of the trade.
"This book is an attempt to demystify the activities of a celestial object such as the Sun appealing to basic physics already available to high school students. Building on simple logic, the contents begin with measurements of the gross properties of the Sun like size (volume) and mass from which the average density of solar material is shown to be almost equal to water's density. Then the temperature is obtained using the colour of sunlight, and the gravitational force is discussed to indicate how the solar material is compressed at the centre of the Sun leading to heating which further causes nuclear reactions. The roles of all the forces of nature, viz. strong, weak, electromagnetic and gravitation are shown in the construction of the Sun. The generation of magnetic fields by solar rotation and the eruptions of solar atmospheric material are also included. To further demystify the methods of obtaining all such facts about the Sun, a chapter is solely devoted to the different kinds of solar telescopes operating at different wavelengths and also at different locations ranging from outer space to deep underground, where solar neutrino flux is measured. The entire discussion is interspersed with historical encounters between giants of science to show the human face of scientific research."--Publisher's website.
1 online resource.
This research monograph presents a new dynamical framework for the study of secular morphological evolution of galaxies along the Hubble sequence. Classical approaches based on Boltzmann's kinetic equation, as well as on its moment-equation descendants the Euler and Navier-Stokes fluid equations, are inadequate for treating the maintenance and long-term evolution of systems containing self-organized structures such as galactic density-wave modes. A global and synthetic approach, incorporating correlated fluctuations of the constituent particles during a nonequilibrium phase transition, is adopted to supplement the continuum treatment. The cutting-edge research combining analytical, N-body simulational, and observational aspects, as well as the fundamental-physics connections it provides, make this work a valuable reference for researchers and graduate students in astronomy, astrophysics, cosmology, many-body physics, complexity theory, and other related fields. Contents Dynamical Drivers of Galaxy Evolution N-Body Simulations of Galaxy Evolution Astrophysical Implications of the Dynamical Theory Putting It All Together Concluding Remarks Appendix: Relation to Kinetics and Fluid Mechanics.
(source: Nielsen Book Data)9783110525441 20180312
1 online resource.
  • Volume 1. Galaxy formation and evolution / Rennan Barkana (Tel Aviv University)
  • volume 2. Numerical simulations in cosmology / Kentaro Nagamine (Osaka University / University of Nevada)
  • volume 3. Dark energy / Shinji Tsujikawa (Tokyo University of Science)
  • volume 4. Dark matter / Jihn Kim (Seoul National University).
1 volume (various pagings) : illustration (some color), color map ; 28 cm
  • I. Developing Perspective 1. A Modern View of the Universe 2. Discovering the Universe for Yourself 3. The Science of Astronomy II. Key Concepts for Astronomy 4. Making Sense of the Universe: Understanding Motion, Energy, and Gravity 5. Light: The Cosmic Messenger III. Learning from Other Worlds 6. Formation of the Solar System 7. Earth and the Terrestrial Worlds 8. Jovian Planet Systems 9. Asteroids, Comets, and Dwarf Planets: Their Nature, Orbits, and Impacts 10. Other Planetary Systems: The New Science of Distant Worlds IV. Stars 11. Our Star 12. Surveying the Stars 13. Star Stuff 14. The Bizarre Stellar Graveyard V. Galaxies and Beyond 15. Our Galaxy 16. A Universe of Galaxies 17. The Birth of the Universe 18. Dark Matter, Dark Energy, and the Fate of the Universe VI. Life on Earth and Beyond 19. Life in the Universe.
  • (source: Nielsen Book Data)9780134446431 20171227
For one-semester courses in astronomy. A practical introduction to Astronomy with an emphasis on critical thinking about our place in the universe This 8th Edition of Essential Cosmic Perspective provides readers without science backgrounds with a streamlined, cutting-edge introduction to astronomy. Built on a strong tradition of effective pedagogy and coverage, the text focuses on skill-building and includes group work exercises that require active participation. Dedicated to bringing an understanding of the universe, its scientific basis and its relevance to our lives, each chapter is written to specific learning goals that build an ideal learning path for readers. Aiming to foster a lifelong learning experience, the authors focus on key concepts, providing big picture context, promoting conceptual understanding, and preferring plain language to jargon. The 8th Edition incorporates the latest scientific updates in the field of astronomy and includes new features that reinforce critical thinking and excite readers' curiosity. New features such as Extraordinary Claims engage readers by presenting extraordinary claims about the universe and how they were either supported or debunked as scientists collected more evidence, reinforcing the process of science and how scientists think critically to evaluate them. My Cosmic Perspective establishes a personal connection between readers and the cosmos as they learn to think critically about the meaning of what they learn in their astronomy studies and beyond. Designed and written for a one semester course, this text shares many of the strengths of its more comprehensive best-selling sibling, The Cosmic Perspective. Also available with Mastering Astronomy Mastering (TM) Astronomy is the leading online homework, tutorial, and assessment system, designed to improve results by engaging students with vetted, interactive content. Instructors ensure students arrive ready to learn by assigning new Interactive Prelecture videos that give students exposure to key concepts before class and open classroom time for active learning or deeper discussions of topics. With Learning Catalytics (TM) instructors can expand on key concepts and encourage student engagement during lecture through questions answered individually or in pairs and groups. Students further master concepts through book-specific Mastering Astronomy assignments, which provide hints and answer-specific feedback that build problem-solving skills. Mastering Astronomy now features Virtual Astronomy Labs, providing assignable online laboratory activities that use Stellarium and Interactive Figures. Note: You are purchasing a standalone product; Mastering (TM) Astronomy does not come packaged with this content. Students, if interested in purchasing this title with Mastering Astronomy, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and Mastering Astronomy, search for: 0134516338 / 9780134516332 Essential Cosmic Perspective Plus Mastering Astronomy with eText, The -- Access Card Package Package consists of: 0134509293 / 9780134509297 Mastering Astronomy with Pearson eText -- ValuePack Access Card -- for Essential Cosmic Perspective, The0134446437 / 9780134446431 Essential Cosmic Perspective, The.
(source: Nielsen Book Data)9780134446431 20171227
Engineering Library (Terman)
1 online resource : illustrations (some color).
  • 1. Habilitability as a Tool in Astrobiological Exploration 2. An Origin of Life on Mars? 3. Remote Detection of Phyllosilicates on Mars and Implications for Climate and Habitability 4. Are Recurring Slope Linae (RSL) Habitable? 5. Martian Habitability as Inferred from Landed Missions 6. Archean Lakes as Analogues for Habitable Martian Environments 7. Evolution of Altiplanic Lake Habitats and Biosignatures at the Pleistocene/Holocene Transition 8. Siliceous Hot Spring Deposits: Why they Remain Key Astrobiological Targets 9. UV Radiation on Mars 10. Habitability and Biomarker Preservation in the Martian Near-Surface Environment 11. Mars 2020 12. ExoMars.
  • (source: Nielsen Book Data)9780128099353 20180813
From Habitability to Life on Mars explores the current state of knowledge and questions on the past habitability of Mars and the role that rapid environmental changes may have played in the ability of prebiotic chemistry to transition to life. It investigates the role that such changes may have played in the preservation of biosignatures in the geological record and what this means for exploration strategies. Throughout the book, the authors show how the investigation of terrestrial analogs to early Martian habitats under various climates and environmental extremes provide critical clues to understand where, what and how to search for biosignatures on Mars. The authors present an introduction to the newest developments and state-of-the-art remote and in situ detection strategies and technologies that are being currently developed to support the upcoming ExoMars and Mars 2020 missions. They show how the current orbital and ground exploration is guiding the selection for future landing sites. Finally, the book concludes by discussing the critical question of the implications and ethics of finding life on Mars.
(source: Nielsen Book Data)9780128099353 20180813
xiv, 334 pages : illustrations (some color), color maps ; 24 cm.
Green Library
xx, 339 pages : illustrations ; 25 cm
  • Introduction : Toward a multiplanet species
  • Part I. Leaving the Earth. Preparing for liftoff
  • New golden age of space travel
  • Mining the heavens
  • Mars or bust
  • Mars : The garden planet
  • Gas giants, comets, and beyond
  • Part II. Voyage to the stars. Robots in space
  • Building a starship
  • Kepler and a universe of planets
  • Part III. Life in the universe. Immortality
  • Transhumanism and technology
  • Search for extraterrestrial life
  • Advanced civilizations
  • Leaving the universe.
"Formerly the domain of fiction, moving human civilization to the stars is increasingly becoming a scientific possibility--and a necessity. Whether in the near future due to climate change and the depletion of finite resources, or in the distant future due to catastrophic cosmological events, we must face the reality that humans will one day need to leave planet Earth to survive as a species. World-renowned physicist and futurist Michio Kaku explores in rich, intimate detail the process by which humanity may gradually move away from the planet and develop a sustainable civilization in outer space. He reveals how cutting-edge developments in robotics, nanotechnology, and biotechnology may allow us to terraform and build habitable cities on Mars. He then takes us beyond the solar system to nearby stars, which may soon be reached by nanoships traveling on laser beams at near the speed of light. Finally, he brings us beyond our galaxy, and even beyond our universe, to the possibility of immortality, showing us how humans may someday be able to leave our bodies entirely and laser port to new havens in space. With irrepressible enthusiasm and wonder, Dr. Kaku takes readers on a fascinating journey to a future in which humanity may finally fulfill its long-awaited destiny among the stars"-- Provided by publisher.
Earth Sciences Library (Branner)
1 online resource (186 p.) : ill. (some col.)
  • Origins of Cosmology
  • Principles of General Relativity
  • Einstein's Static Universe
  • Expansion and Redshift
  • Hubble's Law
  • Friedmann Models
  • Geometry of the Universe
  • λCDM Model
  • Distances in Astronomy
  • The Big Bang
  • Cosmic Microwave Background
  • Evolution of the Early Universe
  • Cosmological Horizon
  • Inflation of the Universe
  • Multiverse and the Anthropic Principle
  • Big Bang and Stellar Nucleosynthesis
  • Dark Matter
  • Dark Energy
  • Black Holes
  • Naked Singularities
  • Wormholes
  • Myths in Cosmology.
"This book is about the history and the current state of the art in the exciting field of cosmology — the science about the Universe as a whole, which is guaranteed to attract the attention of a wide range of readers. It mostly aims to explain the main ideas of modern cosmology: the expanding Universe, its creation in a Big Bang, its evolution, characteristics, and structure, as well as issues — dark matter and dark energy, black holes and other exotic objects etc. It also answers most frequently asked questions about cosmology. How the Universe Works stands between a popular science book and a textbook, acting as a sort of a bridge across the great chasm separating popular science from true science. It can be also used as an introductory textbook for undergraduate students. It is also suitable for the non-experts in cosmology who wish to have an overview of the current state of the field. It is different from most popular science books because it avoids cutting corners in explanations and contains justification for various assumptions or estimations made in cosmology. It does not hide problems faced by modern cosmology as well as issues the community has no consensus about. It also does not try to pass hypotheses for established theories, which is not uncommon in scholarly articles."-- Provided by publisher.
x, 364 pages : illustrations (chiefly color), maps (chiefly color) ; 29 cm.
  • Part 1 - Geodetic Reference Systems and Frames.- Simulation of VLBI observations to determine a global TRF for GGOS.- The Assessment of the Temporal Evolution of Space Geodetic Terrestrial Reference Frames.- Analysis strategies for the densification of the ICRF with VLBA Calibrator Survey sources.- Towards the Definition and Realization of a Global Absolute Gravity Reference System.- Part 2 - Static Gravity Field Observations and Modelling.- The linearized fixed gravimetric boundary value problem and its solution in spheroidal approximation.- On the convergence of the h-p finite element method for solving boundary value problems in physical geodesy.- Domain Transformation and the Iteration Solution of the Linear Gravimetric Boundary Value Problem.- A New Argentinean Gravimetric Geoid Model - GEOIDEAR.- Exploitation of marine gravity measurements in the validation of global gravity field models.- Traceability of the Hannover FG5X-220 to the SI units.- Evaluation of Robert Sterneck's historical gravity pendulum measurements in the Czech territory.- Part 3 - Detection and Modelling of Gravity Field Variations.- Ground-satellite comparisons of time variable gravity: results, issues and on-going projects for the null test in arid regions.- Impact of groundtrack pattern of double pair missions on the gravity recovery quality - Lessons from the ESA SC4MGV project.- A posterior de-aliasing of ocean tide error in future double-pair satellite gravity missions.- A method of airborne gravimetry by combining strapdown inertial and new satellite observations via dynamic networks.- Hybrid gravimetry as a tool to monitor surface and underground mass changes.- Tidal spectroscopy from a long record of superconducting gravimeters in Strasbourg (France).- Investigations of a suspected jump in Swedish repeated absolute gravity time series.- Part 4 - Earth Rotation and Geodynamics.- Detailed analysis of diurnal tides and associated space nutation in the search of the Free Inner Core Nutation resonance.- Chandler wobble and frequency dependency of the ratio between gravity variation and vertical displacement for a simple Earth model with Maxwell or Burgers rheologies.- Detection of the atmospheric S1 tide in VLBI polar motion time series.- Free Core Nutation parameters from hydrostatic long-base tiltmeter records in Sainte Croix aux Mines (France).- Numerical Issues in Space-Geodetic Data Analysis and their Impact on Earth Orientation Parameter.- A non-tidal atmospheric loading model: On its quality and impacts on orbit determination and C20 from SLR.- Effects of meteorological input data on the VLBI station coordinates, network scale, and EOP.- History of monitoring Earth orientation, and re-analyses of old data.- Part 5 - Advances in GNSS Technologies, Data Processing, and Applications.- Multi-GNSS PPP-RTK: mixed-receiver network and user scenarios.- A New Method for Real-Time PPP Correction Updates.- Towards reliable and precise BeiDou positioning with stochastic modelling.- PPP carrier phase residual stacking for turbulence investigations.- On Removing Discrepancies Between Local Ties and GPS-Based Coordinates.- Receiver Antenna Phase Center Models and Their Impact on Geodetic Parameters.- Singular spectrum analysis for modeling geodetic time series.- Impact of Limited Satellite Visibility on Estimates of Vertical Land Movements.- Noise filtering augmentation of the Helmert transformation for the mapping of GNSS derived position time series to a target frame.- Part 6 - Geodetic Modelling of Atmospheric Variables.- Assessing GPS + Galileo Precise Point Positioning Capability for Integrated Water Vapor Estimation.- Atmospheric perceptible water in Somma-Vesuvius area during extreme weather events from ground-based GPS measurements.- Water vapor radiometer data in very long baseline interferometry data analysis.- Part 7 - Geodetic Monitoring of Surface Deformations.- Land subsidence detected by persistent scatterer interferometry using ALOS/PALSAR data from the Nakagawa lowland in the central Kanto Plain, Japan.- A new velocity field of Greece based on seven years (2008-2014) continuously operating GPS station data.- SPINA Region (South of Iberian Peninsula, North of Africa) GNSS geodynamic model.- Continuous Kinematic GPS Monitoring of a Glacier Lake Outburst Flood.- Water in Central Asia - Reservoir Monitoring with Radar Altimetry along the Naryn and Syr Darya Rivers.- Erratum to: AMethod of Airborne Gravimetry by Combining Strapdown Inertial and New Satellite Observations via Dynamic Networks.
  • (source: Nielsen Book Data)9783319691695 20180205
This book series is composed of peer-reviewed proceedings of selected symposia organized by the International Association of Geodesy. It deals primarily with topics related to Geodesy Earth Sciences : terrestrial reference frame, Earth gravity field, Geodynamics and Earth rotation, Positioning and engineering applications.
(source: Nielsen Book Data)9783319691695 20180205
Earth Sciences Library (Branner)
1 online resource (various pagings) : illustrations (some color).
  • 1. Introduction 2. Key Applications and Enablers 3. Integrating Quantum and Classical Networks 4. Quantum Networks at Continental Scales 5. Future Directions.
  • (source: Nielsen Book Data)9781681749570 20180709
In this book we will look at what planetary nebulae are, where they come from and where they go. We will discuss what mechanisms cause these beautiful markers of stellar demise as well as what causes them to form their variety of shapes. How we measure various aspects of planetary nebulae such as what they are made of will also be explored. Though we will give some aspects of planetary nebulae mathematical treatment, the main points should be accessible to people with only a limited background in mathematics. A short glossary of some of the more arcane astronomical terms is at the end of the book to help in understanding. Included at the end of each chapter is an extensive bibliography to the peer reviewed research on these objects and I would encourage the reader interested in an even deeper understanding to read these articles.
(source: Nielsen Book Data)9781681749570 20180709
xlviii, 450 pages : illustrations ; 25 cm.
  • Transliteration scheme
  • Foreword
  • About the authors
  • Introduction
  • Mean planets and the śakābdasamṣkāra
  • Invocation
  • Revolutions of the planets in a mahāyuga
  • The number of solar, lunar and intercalary months in a mahāyuga
  • The number of omitted tithis and sidereal days
  • Revolutions of the planets in a kalpa
  • Period elapsed in the present kalpa
  • Obtaining the number of elapsed years since the beginning of the present kaliyuga
  • Procedure for obtaining the aharganạ
  • Technique for simplifying the mathematical operations
  • Obtaining the mean longitudes of planets
  • Śakābdasamṣkāra for mean planets
  • Śakābdasamṣkāra for the number of days elapsed in the present year
  • Obtaining the khanḍạs and the dhruvas
  • Procedure for obtaining the khanḍạs
  • Applying śakābdasamṣkāra to find the dhruvas
  • An alternative method for obtaining the khanḍạs and dhruvas
  • Speciality in the śakābdasamṣkāra for Rāhu
  • The mean motion of the planets
  • Śakābdasamṣkāra for the mean motions
  • Obtaining the hāra and the dvitīyahāra of a gunạkāra
  • Śakābdasamṣkāra for the number of revolutions of the planets
  • Relation between the kaksỵās of planets
  • Obtaining smaller gunạs and hāras
  • Definition of the mahāgunạkāras and mahāhāras of the planets
  • The process of apavartana for obtaining the drḍḥagunạhāras
  • Mean longitudes of the planets from mahā-gunạkāras and mahāhāras
  • Kalyādidhruvas of the planets
  • The Vallyupasamḥāra technique
  • Vallyupasamḥāra : Method I
  • Vallyupasamḥāra : Method II
  • Better approximations to the rate of motion : Dvitīya and trṭīya-hārakas
  • The dvitīya-hāraka in terms of the remainders in the mutual division
  • Gunạkāras and hāras for the difference in rates of motion
  • Computation of the khanḍạ, dhruva, etc. of the Moon
  • The alpa-gunạkāras and alpa-hārakas of the candra-kendra
  • Obtaining the khanḍạs and dhruvas for the Moon
  • Algorithm to determine the khanḍạ
  • Dhruvas at the end of different hārakas and khanḍạs
  • Obtaining the kendraphalas
  • An alternative method for obtaining the kendraphalas
  • Obtaining the dhruva-samṣkārahārakas
  • Obtaining the khanḍạ using a specific hāraka
  • A method for finding different khanḍạs
  • Obtaining kendraphalas using a special hāraka
  • The process of obtaining the multipliers
  • The procedure for obtaining the candravākyas
  • The relationship between the magnitude of hāraka and the proximity to sunrise
  • Obtaining the yogodayāntaraprānạs and yogadhruvas
  • General rule for conjunction of planets
  • Obtaining the hārakas for the planets
  • The mandakendrahārakas of the planets
  • Obtaining the śīghrakendra-hārakas of the planets
  • Obtaining the khanḍạs of the planets
  • Convention in the choice of hāraka
  • Procedure for obtaining manḍạlas and dhruvas given in the Vākyakaranạ
  • Expression for the manḍạlas and dhruvas
  • Rationale behind the expression for manḍạla
  • Rationale behind the expression for dhruva
  • A general prescription for obtaining śodhyas
  • Obtaining the instant at which the śīghrocca-grahayoga occurs
  • Another method to obtain the instant of the śīghrocca-grahayoga
  • Procedure for obtaining the śodhyadina
  • Finding the śodhyadhruva
  • Another method to obtain the śodhyadina
  • Obtaining the maudḥyāvasāna-khanḍạs
  • Obtaining the hārakas mentioned in the Aganịta
  • Obtaining the śodhyābdas of the planets
  • Obtaining the adhimāsakhanḍạ
  • Procedure for obtaining the grahanạhārakas
  • Procedure for obtaining the grahanạkhanḍạs
  • Examination of the revolution numbers etc.
  • Procedure for correcting the revolutions of the planets in a kalpa
  • Obtaining the kalpādidhruvas of the planets
  • Saṅkramanạdhruva at the beginning of the kalpa
  • Corrections to saṅkramanạ and graha-dhruvas
  • Eliminating the kalpādidhruvas
  • Obtaining zero saṅkramanạdhruva at the beginning of the kalpa
  • Different measures of kalpa
  • Different divisions of a kalpa
  • The duration of krṭa and other yugas
  • Time elapsed in the present kalpa
  • Relation between the circumference and the diameter and computation of Rsines
  • The Mādhava series
  • Transformed Mādhava series
  • An algebraic identity
  • The Putumana Somayājī series
  • Ratio of the circumference to the diameter
  • Generation of the tabular Rsines from Rsin 30 and Rsin 45
  • Procedure for obtaining the Rsine and Rcosine of the half of any desired arc
  • An alternative expression for the Rsine of half the desired arc
  • Finding the Rsine and Rcosine of half of the arc from the bānạ
  • Series expansion for the Rsine and Rcosine
  • Computation of the Rsine and Rcosine values using the vākyas vidvān etc.
  • Obtaining the tabular Rsines from the last and the penultimate Rsine
  • Another recursive relation for obtaining the Rsines
  • Computation of the arc from the corresponding chord
  • Computation of the Rsine value of a small arc
  • Finding the Rsines from a table of arc-sine differences for small arcs
  • Obtaining the planetary longitudes
  • The circumferences of the manda and śīghra epicycles of the planets
  • Finding the true circumference of the epicycle
  • Obtaining the mandaphalas of the planets
  • Obtaining the śīghraphalas of the planets
  • Obtaining the true bhujā and kotịphalas
  • Application of the manda and the śīghraphalas
  • Procedure for obtaining the antyaphala
  • Obtaining the expression for the śīghraphala in terms of the antyaphala
  • Expression for the śīghrakarnạ
  • Expression for the śīghraphala in case I when the śīghrakendra is makarādi
  • Expression for śīghraphala in case I when the śīghrakendra is karkyādi
  • Expression for the śīghraphala in case II when the śīghrakendra is karkyādi
  • Another method to obtain the śīghraphala
  • An alternate method to obtain the śīghrakarnạ
  • Obtaining the circumference of the śīghra epicycle
  • Circumference at the beginning and the end of the odd quadrant
  • Obtaining the vyastakarnạ of the Sun
  • Finding the mean longitudes of the Sun from vyastakarnạ
  • Finding the mandakarnạs of the Sun and the Moon from vyastakarnạ
  • Finding the true physical distances of the Sun and the Moon from vyastakarnạ
  • Obtaining the māsavākyas, saṅkrāntivākyas and naksạtravākyas
  • The māsavākyas
  • The saṅkrāntivākyas
  • The naksạtravākyas
  • The yogyādivākyas : true longitude of the Sun at any instant
  • Obtaining the yogyādivākyas
  • Finding the true longitude of the Sun from the yogyādivākyas
  • Procedure for obtaining the manda-sphutạ
  • Manda-sphutạ of exterior planets
  • Manda-sphutạ of interior planets
  • Obtaining the manda and śīghrakarnạs
  • Obtaining the karnạs when the Rsine of the kendra is zero
  • Earth-planet distance
  • Yojanakarnạs (physical distance in yojanas) of the planets
  • Obtaining the hypotenuse at the heliacal rising and setting
  • Hypotenuse at heliacal rising and setting of the interior planets
  • Latitude of a planet at heliacal rising and setting
  • Diameter of the orbs of the Sun, Moon and the Earth in yojanas
  • Gnomonic shadow
  • Obtaining the Rsine and Rcosine of the latitude from the midday shadow
  • Corrections to the Rsine and Rcosine of the latitude
  • Obtaining mahāśaṅku and chāyā at any desired instant
  • Obtaining the bhujākotịs of mahācchāyā
  • Expression for the latitude in terms of the declination and mid-day shadow
  • Expression for the Rsine of sum, difference of two arcs
  • Another expression for the latitude and co-latitude
  • Obtaining the svadeśahāraka
  • Obtaining the krāntijya of Sun and the dyujyā
  • Different methods of obtaining prānạkalāntaras
  • The expression for the ascensional difference or carajyā
  • Alternate expressions for the carajyā
  • Obtaining the declination of the Moon
  • Obtaining the mānyādijyās and the inādijyās
  • Lambanahāraka and its application
  • Obtaining the lambanajyās
  • Obtaining the prītāng̣anādi-lambanajyās
  • Obtaining the yogīraktādi-lambanajyās
  • Obtaining the dimension of the disc of the planets in minutes
  • Obtaining the dimension of the discs of the Sun and the Moon
  • Obtaining the diameter of earth's shadow on the Moon's orbit
  • Obtaining the bimbaliptās of the planets
  • Ascendent at the meridian transit
  • Defining kāla-lagna and obtaining the rising times of rāśis therefrom
  • The longitudes and latitudes of the "junction stars" commencing with aśvinī
  • Obtaining the true declinations of the stars
  • Obtaining the madhyāhnakālalagna
  • An alternate method for obtaining the madhyāhnakālalagna
  • Yet another method for obtaining the madhyāhnakālalagna
  • Obtaining the natakāla (RA) and the madhyāhnakālalagna
  • The time elapsed in the current rāśi
  • Obtaining the Right Ascension, etc.
  • Importance of observations with instruments
  • Obtaining the natakāla or the vāyukāla (RA)
  • An alternate method for obtaining the vāyukāla
  • Definition of the natakāla
  • Obtaining the latitude from the vāyukāla
  • Obtaining the longitude from the vāyukāla
  • An alternative method for obtaining the longitude from the madhyāhnakālalagna
  • Concluding remarks
  • Appendices
  • Vallyupasamḥāra and continued fractions
  • Simple continued fraction and its convergents
  • Properties of the convergents
  • Remainder theorem of Karanạpaddhati
  • Some applications of the Remainder theorem
  • Epicycle and eccentric models for manda and śīghra corrections
  • Equation of centre and the manda-sphutạ of planets
  • Śīghraphala and the śīghra-sphutạ or the true longitude of planets
  • Alpagunạkāras and alpahārakas of the planets
  • An introduction to the Vākya method of Indian astronomy
  • Introduction
  • Vākyas related to the true motion of the Sun
  • Vākyakaranạ method
  • Vākyas pertaining to the Sun according to Karanạpaddhati
  • Obtaining māsavākyas, saṅkrāntivākyas and naksạtravākyas
  • The Māsavākyas
  • The Saṅkrāntivākyas
  • The Naksạtravākyas
  • The Yogyādivākyas
  • Finding the true longitude of the Sun from the yogyādivākyas
  • Some observations
  • Vākya method of finding the longitude of the Moon
  • Vākya method for finding the true longitudes of the planets
  • Manḍạlas, dhruvas and śodhyas
  • The candravākyas of Vararuci and Mādhava
  • Computing the candravākyas of Vararuci and Mādhava
  • Error correction procedure for candravākyas
  • Rationale behind the vākyaśodhana procedure
  • Vararucivākyas
  • Mādhava-vākyas
  • Explanation of the vākyaśodhana expression for ...
  • Table of candravākyas of Vararuci and Mādhava
  • Table of computed candravākyas
  • Literal meanings of selected vākyas
  • The Manḍalas and dhruvas of the planets
  • The gunạkāras and hārakas of the Aganịta system
  • Glossary
  • Bibliography
  • Index
  • Index of Half-verses.
This book is an important text of the Kerala school of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karana texts are essentially computational manuals, and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. Karanapaddhati, however, is not a karana text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karana text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karanapaddhati presents the theoretical basis for the vakya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khanda, mandala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form of vakyas or mnemonic phrases. The text also discusses the method of vallyupasamhara, which is essentially a technique of continued fraction expansion for obtaining optimal approximations to the rates of motion of planets and their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series for Ï which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vakya system and the computational procedures used in the karana texts, it would serve as a useful companion for all those interested in the history of astronomy. The authors have provided a translation of the text followed by detailed notes which explain all the computational procedures, along with their rationale, by means of diagrams and equations.
(source: Nielsen Book Data)9789811068133 20180618
Green Library
xii, 308 pages : illustrations ; 23 cm.
Kew Observatory was originally built in 1769 for King George III, a keen amateur astronomer, so that he could observe the transit of Venus. By the mid-nineteenth century, it was a world-leading center for four major sciences: geomagnetism, meteorology, solar physics, and standardization. Long before government cutbacks forced its closure in 1980, the observatory was run by both major bodies responsible for the management of science in Britain: first the British Association for the Advancement of Science, and then, from 1871, the Royal Society. Kew Observatory influenced and was influenced by many of the larger developments in the physical sciences during the second half of the nineteenth century, while many of the major figures involved were in some way affiliated with Kew. Lee T. Macdonald explores the extraordinary story of this important scientific institution as it rose to prominence during the Victorian era. His book offers fresh new insights into key historical issues in nineteenth-century science: the patronage of science; relations between science and government; the evolution of the observatory sciences; and the origins and early years of the National Physical Laboratory, once an extension of Kew and now the largest applied physics organization in the United Kingdom.
(source: Nielsen Book Data)9780822945260 20180723
Green Library
1 online resource (viii, 464 pages) : illustrations (black and white, and colour), maps.