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4434Algebra is Vital
http://www.merlot.org/merlot/viewMaterial.htm?id=726628
This is a virtual edition of a developmental algebra textbook. It follows the Suffolk County Community College Mathematics syllabus for our developmental algebra courses, with a few additions.This book has a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License and may be used and shared for any non-profit educational purpose.Advanced Maths for Chemists - Chemistry Maths 3
http://www.merlot.org/merlot/viewMaterial.htm?id=795692
This is a free textbook offered by BookBoon.'Advanced Maths for Chemists teaches Maths from a “chemical” perspective and is the third of a three part series of texts designed for a first-year university course. It is the Maths required by a Chemist, Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with fully worked solutions are used and structured on a weekly basis to help the students to self-pace themselves. Coloured molecular structures, graphs and diagrams bring the text alive. Navigation between questions and their solutions is by page numbers for use with your PDF reader.'Basic Math Textbook for the Community College
http://www.merlot.org/merlot/viewMaterial.htm?id=442393
This is a free, open textbook that is part of the Connexions collection at Rice University. "This is a textbook for Basic Mathematics for community college students. The content in this book has been collected from three text books and modified, as specified by Robert Knight.״Blast into math
http://www.merlot.org/merlot/viewMaterial.htm?id=737848
This is a free online textbook offered by BookBoon.'Blast into Math! A fun and rigorous introduction to pure mathematics, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style. Definitions, theorems, and proofs are accompanied by creative analogies and illustrations to convey the meaning and intuition behind the abstract math. The key to reading and understanding this book is doing the exercises. You don't need much background for the first few chapters, but the material builds upon itself, and if you don't do the exercises, eventually you'll have trouble understanding. The book begins by introducing fundamental concepts in logic and continues on to set theory and basic topics in number theory. The sixth chapter shows how we can change our mathematical perspective by writing numbers in bases other than the usual base 10. The last chapter introduces analysis. Readers will be both challenged and encouraged. A parallel is drawn between the process of working through the book and the process of mathematics research. If you read this book and do all the exercises, you will not only learn how to prove theorems, you'll also experience what mathematics research is like: exciting, challenging, and fun!'Blast Into Math!
http://www.merlot.org/merlot/viewMaterial.htm?id=795412
This is a free textbook from BookBoon.'Blast into Math! A fun and rigorous introduction to pure mathematics, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style. Definitions, theorems, and proofs are accompanied by creative analogies and illustrations to convey the meaning and intuition behind the abstract math. The key to reading and understanding this book is doing the exercises. You don't need much background for the first few chapters, but the material builds upon itself, and if you don't do the exercises, eventually you'll have trouble understanding. The book begins by introducing fundamental concepts in logic and continues on to set theory and basic topics in number theory. The sixth chapter shows how we can change our mathematical perspective by writing numbers in bases other than the usual base 10. The last chapter introduces analysis. Readers will be both challenged and encouraged. A parallel is drawn between the process of working through the book and the process of mathematics research. If you read this book and do all the exercises, you will not only learn how to prove theorems, you'll also experience what mathematics research is like: exciting, challenging, and fun!'CK-12 Middle School Math Grade 6, Volume 1 Of 2
http://www.merlot.org/merlot/viewMaterial.htm?id=819537
This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.'CK-12's Middle School Math Grade 6 covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book’s content in practical situations. Volume 1 includes the first 6 chapters.'CK-12 Middle School Math Grade 6, Volume 1 Of 2
http://www.merlot.org/merlot/viewMaterial.htm?id=830855
This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.'CK-12's Middle School Math Grade 6 covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book’s content in practical situations. Volume 1 includes the first 6 chapters.'Engineering Mathematics: YouTube Workbook
http://www.merlot.org/merlot/viewMaterial.htm?id=833096
This is a free textbook from BookBoon.'״Free ebooks + free videos = better education" is the equation that describes this book's commitment to free and open education across the globe. Download the book and discover free video lessons on the Author's YouTube channel.״Engineering Mathematics: YouTube Workbook” takes learning to a new level by combining free written lessons with free online video tutorials. Each section within the workbook is linked to a video lesson on YouTube where the author discusses and solves problems step-by-step.The combination of written text with interactive video offers a high degree of learning flexibility by enabling the student to take control of the pace of their learning delivery. For example, key mathematical concepts can be reinforced or more deeply considered by rewinding or pausing the video. Due to these learning materials being freely available online, students can access them at a time and geographical location that suits their needs.'The table of contents includes:Partial derivatives & applicationsPartial derivatives & partial differential equationsPartial derivatives & chain ruleTaylor polynomial approximations: two variablesError estimationDifferentiate under integral signs: Leibniz ruleSome max/min problems for multivariable functionsHow to determine & classify critical pointsMore on determining & classifying critical pointsThe method of Lagrange multipliersAnother example on Lagrange multipliersMore on Lagrange multipliers: 2 constraintsA glimpse at vector calculusVector functions of one variableThe gradient field of a functionThe divergence of a vector fieldThe curl of a vector fieldIntroduction to line integralsMore on line integralsFundamental theorem of line integralsFlux in the plane + line integralsDouble integrals and applicationsHow to integrate over rectanglesDouble integrals over general regionsHow to reverse the order of integrationHow to determine area of 2D shapesDouble integrals in polar co-ordinatesMore on integration & polar co-ordinatesOrdinary differential equationsSeparable differential equationsLinear, first–order differential equationsHomogeneous, first–order ODEs2nd–order linear ordinary differential equationsNonhomogeneous differential equationsVariation of constants / parametersLaplace transforms and applicationsIntroduction to the Laplace transformLaplace transforms + the first shifting theoremLaplace transforms + the 2nd shifting theoremLaplace transforms + differential equationsFourier seriesIntroduction to Fourier seriesOdd + even functions + Fourier seriesMore on Fourier seriesApplications of Fourier series to ODEsPDEs & separation of variablesDeriving the heat equationHeat equation & separation of variablesHeat equation & Fourier series.'Essential Engineering Mathematics
http://www.merlot.org/merlot/viewMaterial.htm?id=583936
According to the author, "It is by no means a comprehensive guide to all the mathematics an engineer might encounter during the course of his or her degree. The aim is more to highlight and explain some areas commonly found difficult, such as calculus, and to ease the transition from school level to university level mathematics, where sometimes the subject matter is similar, but the emphasis is usually different. The early sections on functions and single variable calculus are in this spirit. The later sections on multivariate calculus, differential equations and complex functions are more typically found on a first or second year undergraduate course, depending upon the university. The necessary linear algebra for multivariate calculus is also outlined. More advanced topics which have been omitted, but which you will certainly come across, are partial differential equations, Fourier transforms and Laplace transforms.״Helping Engineers Learn Mathematics
http://www.merlot.org/merlot/viewMaterial.htm?id=447298
This is a free, online textbook that consists of individual workbooks on a wide variety of math topics. Each of the 48 chapters includes information that engineers need to know specifically. There is also a Student's Guide and a Tutor's Guide. Each are downloadable as pdf files.