dynamic geometry

List of Free Science Books

Here’s an alphabetical list of all available free books. Note that many of the links will bring you to an external page, usually with more info about the book and the download links. Also, the links are updated as frequently as possible, however some of them might be broken. Broken links are constantly being fixed. In case you want to report a broken link, or a link that violates copyrights, use the contact form


  • A Beginner’s Guide to Mathematica
  • A Brief Introduction to Particle Physics
  • A First Course in General Relativity
  • A New Astronomy
  • A No-Nonsense Introduction to General Relativity
  • A Popular History of Astronomy During the Nineteenth Century, Fourth Edition
  • A Review of General Chemistry
  • A Simple Guide to Backyard Astronomy
  • A Text Book for High School Students Studying Physics
  • A Tour of Triangle Geometry
  • About Life: Concepts in Modern Biology
  • Acoustic Emission
  • Adaptive Control
  • Advanced Calculus
  • Advanced Learning
  • Advanced Mathematics for Engineers
  • Advanced Microwave Circuits and Systems
  • Advanced Technologies
  • Advances in Computer Science and IT
  • Advances in Evolutionary Algorithms
  • Advances in Geoscience and Remote Sensing
  • Advances in Haptics
  • Advances in Human Computer Interaction
  • Age of Einstein
  • Aging by Design
  • AMPL:  A Modeling Language for Mathematical Programming
  • An Introduction to Elementary Particles
  • An Introduction to Higher Mathematics
  • An Introduction to Many Worlds in Quantum Computation
  • An Introduction to Mathematical Reasoning
  • An Introduction to Mathematics
  • An Introduction to Proofs and the Mathematical Vernacular
  • An Introduction to Relativistic Quantum Mechanics
  • Analysis 1 (Tao T)
  • Analysis 2 (Tao T)
  • Analytic Functions
  • Astronomical Discovery
  • Astronomy for Amateurs
  • Astronomy Today
  • Astronomy with an Opera-Glass
  • Automation and Robotics


  • Basic Algebra, Topology and Differential Calculus
  • Basic Concepts of Mathematics
  • Basic Concepts of Thermodynamics
  • Basic Concepts of Thermodynamics Chapter 1
  • Basic Ideas in Chemistry
  • Basic Math: Quick Reference eBook
  • Basic Mathematics for Astronomy
  • Basic Physics
  • Basic Positional Astronomy
  • Basic Principles of Classical and Statistical Thermodynamics
  • Basic Principles of Physics
  • Basics of Physics
  • Beginner’s Botany
  • Biochemistry
  • Biochemistry (practice book)
  • Biology
  • Board Notes for Particle Physics
  • Book of Proof


  • Calculus
  • Calculus Based Physics
  • Celestial Navigation, Elementary Astronomy, Piloting
  • Circuit QED — Lecture Notes
  • Classical Dynamics
  • Classical Geometry
  • Classical Mechanics
  • Climate Models
  • Collaborative Statistics
  • College Algebra
  • Complex Analysis
  • Computational Geometry
  • Computational Introduction to Number Theory and Algebra
  • Computational Physics with Python
  • Conceptual Physics
  • Consistent Quantum Theory
  • Cook-Book Of Mathematics
  • College Physics
  • Crude Oil Emulsions- Composition Stability and Characterization
  • Curiosities of the Sky


  • Decoherence: Basic Concepts and Their Interpretation
  • Do We Really Understand Quantum Mechanics?
  • Differential Equations
  • Diophantine Analysis
  • Discover Physics
  • Dr. Donald Luttermoser’s Physics Notes
  • Dynamics and Relativity


  • Earthquake Research and Analysis
  • Earthquake-Resistant Structures – Design, Assessment and Rehabilitation
  • Einstein for Everyone
  • Electromagnetic Field Theory
  • Elementary Mathematical Astronomy
  • Elementary Linear Algebra
  • Elementary Particle Physics in a Nutshell
  • Elementary Particles in Physics
  • Elements of Astrophysics
  • Embedded Systems – Theory and Design Methodology
  • Encyclopaedia of Mathematics
  • Encyclopedia of Astrophysics
  • Engineering Mathematics 1
  • Engineering Mathematics with Tables
  • Essential Engineering Mathematics
  • Essential Physics
  • Exoplanet Observing for Amateurs
  • Experimental Particle Physics


  • Fields
  • Foundations of Nonstandard Analysis
  • Frequently Asked Questions about Calendars
  • Fundamental Concepts of Mathematics
  • Fundamentals of Analysis (Chen W.W.L)
  • Further Mathematical Methods
  • Fusion Physics


  • General Chemistry
  • General Relativity
  • General Relativity
  • Geometric Asymptotics
  • Geometry and Group Theory
  • Geometry and Topology
  • Geometry Formulas and Facts
  • Geometry Study Guide
  • Geometry, Topology and Physics
  • Geometry, Topology, Localization and Galois Symmetry
  • Great Astronomers


  • Handbook of Formulae and Physical Constants
  • High School Mathematics Extensions
  • Higher Mathematics for Engineers and Physicists
  • History of Astronomy
  • Homeomorphisms in Analysis
  • How to Use Experimental Data to Compute the Probability of Your Theory


  • Intelligent Systems
  • Intrinsic Geometry of Surfaces
  • Introduction to Astronomy and Cosmology
  • Introduction to Cancer Biology
  • Introduction to Chemistry
  • Introduction to Cosmology
  • Introduction to Elementary Particles
  • Introduction to General Relativity
  • Introduction To Finite Mathematics
  • Introduction to Particle Physics Notes
  • Introduction to PID Controllers
  • Introduction to Quantum Mechanics with Applications to Chemistry
  • Introduction to Quantum Noise, Measurement and Amplification
  • Introduction to Social Network Methods
  • Introduction to String Field Theory
  • Introduction to the Time Evolution of Open Quantum Systems
  • Introduction to Quantum Mechanics
  • Introductory Computational Physics
  • Introductory Physics 1
  • Introductory Physics 2


  • Kinetic Theory


  • Laboratory Manual for Introductory Physics
  • Laws of Physics
  • Learn Physics Today
  • Lecture Notes in Discrete Mathematics
  • Lecture Notes in Quantum Mechanics
  • Lecture Notes in Nuclear and Particle Physics
  • Lecture Notes in Particle Physics
  • Lecture Notes on General Relativity
  • Lectures on Astronomy, Astrophysics, and Cosmology
  • Lectures on Particle Physics
  • Lectures on Riemann Zeta-Function
  • Light and Matter


  • Mag 7 Star Atlas Project
  • Many Particle Physics
  • Math Alive
  • Mathematical Analysis I(Zakon E)
  • Mathematical Biology
  • Mathematical Methods
  • Mathematical Methods 1
  • Mathematical Methods for Physical Sciences
  • Mathematical Methods of Engineering Analysis
  • Mathematics, Basic Math and Algebra
  • Mathematics for Computer Science
  • Mathematics for Computer Science
  • Mathematics for Computer Scientists
  • Mathematics For Engineering Students
  • Mathematics Formulary
  • Motion Mountain
  • Music: A Mathematical Offering
  • Mysteries of the Sun


  • Natural Disasters
  • New Frontiers in Graph Theory
  • Noise Control, Reduction and Cancellation Solutions in Engineering
  • Nondestructive Testing Methods and New Applications
  • Nonlinear Optics
  • Notes on Coarse Geometry
  • Notes on Elementary Particle Physics
  • Notes on Quantum Mechanics


  • Observing the Sky from 30S
  • On Particle Physics
  • Operating Systems: Three Easy Pieces


  • Particle Physics Course Univ. Cape Town
  • Particle Physics Lecture Notes
  • People’s Physics Book
  • Perspectives in Quantum Physics: Epistemological, Ontological and Pedagogical
  • Photons, Schmotons
  • Physics Lectures
  • Physics Tutorials
  • Physics Study Guides
  • Pioneers of Science
  • Practical Astronomy
  • Practical Astronomy for Engineers
  • Preparing for College Physics
  • Primer Of Celestial Navigation
  • Principal Component Analysis – Multidisciplinary Applications
  • Publications of the Astronomical Society of the Pacific Volume 1


  • Quantum Dissipative Systems
  • Quantum Field Theory
  • Quantum Fluctuations
  • Quantum Information Theory
  • Quantum Magnetism
  • Quantum Mechanics
  • Quantum Mechanics
  • Quantum Mechanics: A Graduate Course
  • Quantum Mechanics: An Intermediate Level Course
  • Quantum Notes
  • Quantum Physics Notes
  • Quantum Theory of Many-Particle Systems
  • Quantum Transients


  • Recreations in Astronomy
  • Relativistic Quantum Dynamics
  • Relativity: The Special and General Theory
  • Review of Basic Mathematics
  • Riemann Surfaces, Dynamics and Geometry Course Notes


  • Short History of Astronomy
  • Sintering of Ceramics – New Emerging Techniques
  • Solitons
  • Some Basic Principles from Astronomy
  • Special Relativity
  • Spherical Astronomy
  • Star-Gazer’s Hand-Book
  • Statistical Physics
  • Street-Fighting Mathematics
  • String Theory
  • Structures of Life
  • Supernova Remnants: The X-ray Perspective
  • Superspace: One Thousand and One Lessons in Supersymmetry
  • System of Systems


  • The Astrobiology Primer: An Outline of General Knowledge
  • The Astronomy and the Bible
  • The Astronomy of the Bible: An Elementary Commentary on the Astronomical References of Holy Scripture
  • The Basic Paradoxes of Statistical Classical Physics and Quantum Mechanics
  • The Beginning and the End
  • The Beginning and the End of the Universe
  • The Complete Idiot’s Guide to the Sun
  • The Convenient Setting of Global Analysis
  • The Eightfold Way: The Beauty of Klein’s Quartic Curve
  • The General Theory of Relativity
  • The Geology of Terrestrial Planets
  • The Geometry of the Sphere
  • The Handbook of Essential Mathematics
  • The Moon: A Full Description and Map of its Principal Physical Features
  • The Open Agenda
  • The Origin of Mass in Particle Physics
  • The Particle Detector Brief Book
  • The Physics Hypertextbook
  • The Physics of Quantum Mechanics
  • The Planet Mars
  • The Small n Problem in High Energy Physics
  • The Story of Eclipses
  • The Story of the Heavens
  • The Structure of Life
  • The Wonder Book of Knowledge
  • The World According to the Hubble Space Telescope
  • The Zij as-Sanjari of Gregory Chioniades (June 27, 2009)
  • Three Dimensional Geometry


  • Understanding Physics
  • Unfolding the Labyrinth
  • Utility of Quaternions in Physics
  • Uses of Astronomy
Maryam Mirzakhani

There are moments when we do not agree with what is happening around us… 

Maryam Mirzakhani (born May 3, 1977) is an Iranian-American mathematician and a professor of mathematics at Stanford University.

On 13 August 2014, Mirzakhani became both the first woman and the first Iranian honored with the Fields Medal, the most prestigious award in mathematics. The award committee cited her work in “the dynamics and geometry of Riemann surfaces and their moduli spaces”.

Her research topics include Teichmüller theory, hyperbolic geometry, ergodic theory, and symplectic geometry.


This is an exercise even I can do, so I’m sharing it with you. From Naive Lie Theory by John Stillwell


Elastic spheres can walk on water. Incited by public fascination and engineering application, water-skipping of rigid stones and spheres has received considerable study. While these objects can be coaxed to ricochet, elastic spheres demonstrate superior water-skipping ability, but little is known about the effect of large material compliance on water impact physics. Here we show that upon water impact, very compliant spheres naturally assume a disk-like geometry and dynamic orientation that are favourable for water-skipping. Experiments and numerical modelling reveal that the initial spherical shape evolves as elastic waves propagate through the material. We find that the skipping dynamics are governed by the wave propagation speed and by the ratio of material shear modulus to hydrodynamic pressure. With these insights, we explain why softer spheres skip more easily than stiffer ones. Our results advance understanding of fluid-elastic body interaction during water impact, which could benefit inflatable craft modelling and, more playfully, design of elastic aquatic toys.”

The Bubble Nebula is 7 light-years across — about one-and-a-half times the distance from our sun to its nearest stellar neighbor, Alpha Centauri — and resides 7,100 light-years from Earth in the constellation Cassiopeia.

The seething star forming this nebula is 45 times more massive than our sun. Gas on the star gets so hot that it escapes away into space as a “stellar wind” moving at over 4 million miles per hour. This outflow sweeps up the cold, interstellar gas in front of it, forming the outer edge of the bubble much like a snowplow piles up snow in front of it as it moves forward.

As the surface of the bubble’s shell expands outward, it slams into dense regions of cold gas on one side of the bubble. This asymmetry makes the star appear dramatically off-center from the bubble, with its location in the 10 o'clock position in the Hubble view.

Dense pillars of cool hydrogen gas laced with dust appear at the upper left of the picture, and more “fingers” can be seen nearly face-on, behind the translucent bubble.

The gases heated to varying temperatures emit different colors: oxygen is hot enough to emit blue light in the bubble near the star, while the cooler pillars are yellow from the combined light of hydrogen and nitrogen. The pillars are similar to the iconic columns in the “Pillars of Creation” in the Eagle Nebula. As seen with the structures in the Eagle Nebula, the Bubble Nebula pillars are being illuminated by the strong ultraviolet radiation from the brilliant star inside the bubble.

It is being formed by an O star, BD +60°2522, an extremely bright, massive, and short-lived star that has lost most of its outer hydrogen and is now fusing helium into heavier elements. The star is about 4 million years old, and in 10 million to 20 million years, it will likely detonate as a supernova.

Hubble’s Wide Field Camera 3 imaged the nebula in visible light with unprecedented clarity in February 2016. The colors correspond to blue for oxygen, green for hydrogen, and red for nitrogen. This information will help astronomers understand the geometry and dynamics of this complex system.

Object Names: Bubble Nebula, NGC 7635

Image Type: Astronomical

Credit: NASA, ESA, and the Hubble Heritage Team (STScI/AURA)

Time And Space

Yes! A woman has finally won the “Nobel Prize of Mathematics”

If you had any doubts about whether or not women can absolutely own the STEM fields, let Dr. Maryam Mirzakhani dispel them for you.

The Stanford professor, a widely-respected pioneer on “dynamics and geometry of Riemann surfaces and their moduli spaces,” made history in a major way on Tuesday by becoming the first woman ever to win the Fields Medal: the highest international prize in mathematics, and sometimes thought of as the “Nobel Prize of Mathematics.”

But we still have a long way to go Follow micdotcom

Mathematician Maryam Mirzakhani is the first woman to win a Fields Medal. It had been an all-boys club since the prizes were established in 1936.

Mirzakhani, a native of Iran, is a professor at Stanford University. She won for her work on “the dynamics and geometry of Riemann surfaces and their moduli spaces.“

Here’s how Nature summed up her contributions:

“Perhaps Maryam’s most important achievement is her work on dynamics,” says Curtis McMullen of Harvard University. Many natural problems in dynamics, such as the three-body problem of celestial mechanics (for example, interactions of the Sun, the Moon and Earth), have no exact mathematical solution. Mirzakhani found that in dynamical systems evolving in ways that twist and stretch their shape, the systems’ trajectories “are tightly constrained to follow algebraic laws”, says McMullen. He adds that Mirzakhani’s achievements “combine superb problem-solving ability, ambitious mathematical vision and fluency in many disciplines, which is unusual in the modern era, when considerable specialization is often required to reach the frontier”.