This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Books in the Mathematical Sciences. Recommended Books in the. Mathematical Sciences. Views expressed here and the. J. M. Cargal and do not reflect. Other views are incorrect. This site does. It is. J. M. Cargal. Write to jmcargalgmail. James M. Cargal. This is the most recent photograph of James M. Caral used. with permission. Edition 1. September 1, 2. One book each on Information Theory, Matroids in section on linear algebra and General Physics. Edition 1. DockerCon attendees can now build their schedules in the DockerCon Agenda Builder. Check out the schedule, filter based on your interests, experience, job role, and. Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher. The Universe, Cosmos, Galaxies, Space, Black Holes, Earth, Planets, Moon, Stars, Sun Solar System. April 1, 2. 01. 2. Three books added on real analysis. One on advanced calculus. Two on combinatorics. One on group theory. Edition 1. 5 October 1. A passive optical network PON is a telecommunications technology used to provide fiber to the end consumer, both domestic and commercial. A PONs distinguishing. The coexistence of equipment of different technologies and the inadequacy of the installations favors the emission of electromagnetic energy and often causes. An essay  Elements of Boolean Algebra 2. Note that there is also a chapter on Boolean Algebra in the Lectures on algorithms, number theory, probability and other stuff link below. Edition 1. 4. 9  January 2. One book on General Advanced Mathematics. One book on General. Applied Mathematics. Three books added to Combinatorics. Fibonacci numbers the other is very strong on. Fibonacci numbers as well. One book on evolution. Edition 1. 4 Jan 1. Due to the efforts of Bob Hofacker I have. ISBN numbers to most books here. However, these. It is easy to switch them around or. Also added here are two books on. Abstract Algebra and one on Logic. Edition 1. 3. 1 June 7, 2. Cargals lecture on The. EOQ Formula for manufacturing added to section on. Inventory. Aitions in 1. Jan 2. 2, 2. 00. 3   Two books in Number. Theory.   Also a new section Lectures. Site Created December 1. Copyright 1. 99. You. Top. PrinciplesofLearningaMathematicalDiscipline. Principles of. Learning Calculus. Calculus Pedagogy. Principles. of Teaching and Learning Mathematics. Study it Twice. Ask Questions. Two Books for. Undergraduates in the Mathematical Sciences. Pre Calculus Algebra. Trigonometry. Calculus. Linear Algebra. Multivariable Calculus. Differential Equations. ODEs and PDEs  Difference Equations. Dynamical Systems and Chaos. Real Analysis. Infinitesimal. Calculus modern theory of infinitesimalsComplex Analysis. Vector. Calculus, Tensors, Differential Forms. General Applied Math. General Mathematics. General Advanced Mathematics. General Computer Science. Combinatorics including Graph. TheoryNumerical Analysis. Fourier Analysis. Number Theory. Abstract Algebra. Geometry. Topology. Set Theory. Logic and Abstract Automata. Foundations. Algorithms. Coding and. Information Theory. Probability. Fuzzy Stuff. Statistics. Operations Research and. Game Theory. Stochastic Processes and. QueueingInventory Theory and Scheduling. Investment Theory. General Physics. Mechanics. Fluid Mechanics. Thermodynamics and Statistical. Mechanics. Electricity and Electromagnetism. Quantum Mechanics. Relativity. Waves. Evolution. Philosophy. Science Studies. Lectures. Related Sites for Mathematical. Resources. Principles of Learning a Mathematical Discipline. If you have not had the. The. belief that it will come back quickly has scuttled thousands of. Study every day if you study. Break up your study do problems. Remember, even if you are able to. Eventually, you will reach a level where you can. Principles of. Learning Calculus. If you have not had pre calc for two years or more, retake. Do at least two hours of calculus a day. Get another calculus book bookstores are constantly closing out. A. second perspective always seems to help. Get a study aid a book of the type calculus for absolute. Never miss class. Do not split the sequence. That is, do not take calc I at one school. II at another. Probably your second teacher will use a. Back to Top. Calculus Pedagogy. Most people come out of the calculus sequence with superficial. However, the students who survive. Merely by. surviving, they have shown they are the good students. The really. good students will acquire a deeper knowledge of calculus with time. Those that dont are not using calculus and it. Calculus, like basic algebra, is partly a course in technique. That is another reason to do all of your homework. There is technique and there is substance, and these things reinforce one another. Delta epsilon proofs in the initial sequence are generally a waste. They take time away from learning concepts that the. The time to learn delta epsilon. Some students who could not. Back to Top. Principles. Teaching and Learning Mathematics. People like to go from simple models and examples to abstraction. This is the normal way to learn. There is nothing wrong to learning the syntax of the area before the. Too much motivation can be as bad as too little. As you learn concepts, let them digest play with them and study. When you get into a new area, there is something to be said for. For example, even if you. Ph. D. in physics, if you are trying to learn number theory. You are likely to find that you. Back to Top. Study it Twice A basic principle is this most serious students of mathematics. If it has been three or four years since you had the calculus. Often if. one comes back to a discipline after a six month layoff from that. Things that went over your head the first time. A similar trick that is not for everyone and that I do not. When studying a new area it. That is read a. chapter of one and then of the other. Pace the books so that you. The two different. Back to Top. Ask QuestionsSerious students ask questions. Half or more of all. Good students are willing to ask stupid. Generally, willingness to ask stupid questions is a. Two Books for. Undergraduates in the Mathematical Sciences. Jan  Gullberg was a Swedish surgeon. When his son decided to major in engineering, Dr. Gullberg sat down. He then produced the book in camera ready English. The. result is almost a masterpiece. It is the most readable reference. Every freshman and sophomore in the mathematical sciences. It covers most calculus and everything up to. It covers some linear algebra, quite a bit of. A great book. Gullberg, Jan. Mathematics From the Birth of. Numbers. Norton. 1. XThere are loads of books at many levels on mathematics for. The following book is as friendly as. In many ways it is a companion to Gullberg. Gullberg leaves off. There is. some overlap, primarily basic calculus, but I for one dont think. It covers much of the mathematics an engineer. Not only are there. K. F.   Riley, Hobson, M. P., Bence, N. J. Mathematics Methods for Physics and Engineering. Cambridge. 1. 99. I might mention that Mathematical Methods for Physicists by. Arfken and Weber AP has a very. I cant vouch for it personally since I have. It is aimed at the senior level and above. Back to Top. Pre Calculus Algebra. Most books on algebra are pretty much alike. For self study you. Algebra at. this level is a basic tool, and it is critical to do many problems. It is also critical to move on. For the student who has already. I suggest Gullberg as a. An Error Occurred While Installing Mac Os X Mountain Lion. With the preceding in mind I prefer books in the workbook format. An excellent textbook series is the series by Bittinger published by. Aison Wesley. Back to Top. Trigonometry. Trig like pre calculus algebra and calculus itself tends to be. A good example of the genre is Keedy, Mervin L., Marvin Bittinger. Trigonometry Triangles and Functions. Aison Wesley. There is an excellent treatment of trig in. There is a recent 1. This is a much needed book and has my highest recommendation. Maor, Eli. Trigonometric Delights. Princeton. University. There are many short fascinating articles on trigonometry in. Apostol, Tom M., et al. Selected Papers on Precalculus. There is a treatment of trig that is informative but it is a. The Universe Cosmos Galaxies Space Black Holes Earth Planets Moon Stars Sun Solar System. The Cosmos Galaxies Space. Black Holes Earth. Moon Stars Sun Solar System. Magnetics Gravity. Extra Terrestrial. ET Space Aliens. Probes. Space Station Space Shuttle. Space Travel. Satellites Asteroids. Telescopes. Time Measuring. Scallop Border For Microsoft Word. Pyramid of Complexity. Science Physics. The photo. Selfie. It is just an Artist rendition of what our. The photo above is not to make you feel. Think of it as a. Depending on your. Galaxy using the naked human. And as you got closer, it would almost disappear because of the. The Scale. of the Universe from Big to Small youtubeThe Scale. Universe from Small to Big youtube. NASA Astronomy Picture of the Day APOD. The Scale of the Universe Interactive manual control. Sizes nanoTimeline of our Universe. Billion. years ago. It is believed that our. Universe began.  not sure if it was the first timeTime Line of the Universe. Chronology of the Universe. Big Bang Matter. After 3. Million years later. Stars and. Galaxies started to form. Reionization marks the point at which the. Universe. became ionized. Ionization is the process by which an atom or a molecule acquires a. Ions. can be created, by either chemical or physical means, via ionization. Shape of the Universe. GN z. 11 high redshift galaxy found in the constellation Ursa Major, and. Galaxy. z. 8 GND 5. After 9 Billion years. Sun. in our Solar System. Billion years ago. Billion years. Earth is formed. Earth day then was only 6 hours. Mostly Molten. Theia collided with another planetary mass object. Gaia the early Earth. That was when the Moon Formed, the Moon was twice as close. Billion years ago. The lunar. cataclysm when Asteroids bombarded the earth and moon. Late Heavy Bombardment. Billion years agoOne. Billion Years since the Birth of EarthMicroorganisms. Stromatolite life from 3. Earths skies were. Pyramid of Complexity. Primordial. Soup. Timeline of Evolutionary History of Life. Atmospheric Pressure was about half of what it is today. Carbon Dating. 3. Billion years ago. Great Oxygenation Event. Was this the first Extinction Oxygen is what makes the sky blue. New type of Green. Algae produced. O2, which created the Ozone Layer. UV Rays and gave life. Free oxygen is oxygen. Olivine wikiOrganisms Change. Atmosphere. 3 Billion years ago1. Billion Years since the Birth of Earth 2. Ocean organisms. and primitive animals start to evolve. Marine Biology. Over 2 Billion Years go by. Proterozoic, oxygen levels in the oceans and atmosphere increased. By 6. 00 million years ago, the oxygen in the atmosphere. Million years ago3. Billion Years. since the Birth of Earth, and 2. Billion Years since Microorganisms FormedThe earth. Ice. Snowball Earth. Choanoflagellate are a group of free living unicellular and. Protein Domain. is a conserved part of a given. Million years ago. Cambrian Explosion. Prior to the Cambrian explosion, most. Over the following 7. Almost all the present. Asterids. Verbena appeared during this period, with the exception of. Lower Ordovician. Intelligent Design. Million years ago. Plants. First land plants occurs in the. Ordovician, in the form of fossil spores. Land plants began to. Late. from around 4. Rhynie chert. This chert, formed in volcanic hot springs, preserved. Timeline of Plant Evolution wiki. Photosynthesis. Horseshoe Crab. Living Fossil is an extant taxon that closely resembles organisms. As a rule, to be considered a. Carbon Dating. measuring how old things are. Million years ago. Insects. Carboniferous is a geologic period and system that spans 6. Devonian Period 3. Mya. to the beginning of the Permian Period, 2. Mya. The name Carboniferous. Hangenberg Event is a bioevent that occurred at the end of the. Famennian epoch late Devonian associated with the Late Devonian. Bioevent. is an event recognised in a sequence of sedimentary rocks, where there is. It has been defined as short term hours or days to kyrs. Bioevents either. Records of the appearance and disappearance of. Late Devonian Extinction was one of five major. Earths biota. A major. Kellwasser event, occurred at the boundary that marks the. Devonian period, the Famennian faunal. FrasnianFamennian boundary, about 3. Overall, 1. 9 of all families and 5. A. second, distinct mass extinction, the Hangenberg event, closed the. Devonian period. 2. Million years ago. Permian Extinction. Extinction of. 9. Animals. Ward Earths Mass Extinctions youtube1. F rise in temperatureEarth took up to 1. A footprint of a reptile like creature called an Isochirotherium. April by a. person out walking in Olesa de Montserrat, 4. Barcelona. Northeastern Catalonia in the Iberian. Peninsula. 2. 00 Million years ago. Mammals Evolve. Unicellular Organisms developed into. Multicellular Organisms. Dinosaurs Evolved and lived for 1. Million years over 7. Dinosaurs. are a diverse group of. Dinosauria that first appeared during the. Triassic period. which was a geologic period and system which spans 5. Permian Period 2. Mya, to the. beginning of the. Period 2. 01. 3 Mya. The Triassic is the first period of the. Era. Both the start and end of the period are marked by major. Earth had. 1 Continent, mostly desert, no. Earth spun faster, moon was closer. Pangaea. started braking apart about 2. G Plates. Earth Byte. Million years ago. Flowers Evolve 3. India. broke away from the other fragments of Gondwana and began moving. Gondwana is. the name given to an ancient supercontinent. It is believed to have. Mya, joining East. Gondwana to West Gondwana. Gondwana formed prior to Pangaea, and later. Continental Drift Earths Surface. Million years ago. CretaceousPaleogene Extinction Event is also known as the. CretaceousTertiary KT extinction, was a mass. Earth that occurred over a geologically short period of time approximately. With the exception of some ectothermic species like. It marked the end of the Cretaceous period. Mesozoic Era, opening the Cenozoic Era that. Recovery. Time after Extinction. Iridium is found in. Earths crust. Mesozoic Era is an interval of geological time from about. It is also called the Age of. Earths Early History. Dinosaurs Giants of Patagonia 2. Argentinosaur. Giganotosaur 1. Maniraptora is a clade of coelurosaurian dinosaurs that. Ornithomimus velox. Dreadnoughtus. is a genus of giant titanosaurian sauropod dinosaur containing a. Grasses evolved. 5. India today, drifted into Asia, the. Himalayas, and is still moving an inch every year. Discovery of Human Antiquity wikiTable Mountain. Forbidden. Archeology Michael A. CremoLaetoli. Footprints 3. Paleolithic primitive. Stone Tools discovered. Oldowan tools. were used during the Lower Paleolithic period, 2. Africa. South Asia, the Middle East and Europe. This technological industry was. Acheulean industry. Bolas throwing weapon. Stone Age Begins. Advancement in. Tools. Archaeology. culture2,5. Pleistocene. Documentary Secrets Beneath The Ice In Antarctica HD full youtube6. Homo Sapiens. Evolved, or were. Engineered or. Created or arrived here from another planet. The Day We. Learned to Think youtube5. Archaic Humans. 40. Schningen Spears, four ancient wooden spears found in an opencast. Bamford Henderson 2. The spears are about. Hueyatlaco is an archeological site in the Valsequillo Basin near the. Puebla, Mexico. After excavations in the 1. Hueyatlaco. 1. 00,0. Last Glacial Period. Timeline of Glaciation. Middle Pleistocene. Climate Change. 75,0. Toba Catastrophe Theory.