calculus for computer science books

In several key sections, the text succeeds in pointing out and warning against common mistakes, such as incorrectly that assuming the converse of a conditional also holds, or using a delta that depends upon x. λ-Calculus and Computer Science Theory Proceedings of the Symposium Held in Rome March 25–27, 1975 There are no consistency errors which I found. There is even a “Review of Pre-Calculus” at the end of the text, which contains all relevant formulas and identities. As a part of this review, I was not able to use the accompanying online homework system, WeBWorK. Also it is not possible in the pdf version of the text to jump to a section once you have navigated to a chapter. The overall organization, structure, and flow is good. This book covers the standard Calculus 1 course: traditional topics of differential calculus and the basic concepts of integral calculus. I need your recommendation for math books related to computer science in these areas: Boolean Algebra (Boolean logic, gates, state machines, etc.) Professor Strang has published eleven books. There are enough colors used so that the user doesn't feel bored immediately or over time with the aesthetic. The images are of good quality and seem to be used at pretty much every opportunity. I used this textbook in Calculus 1 during fall semester 2016. No apparent problems in navigation, or distortion of images found during my reading. The lambda-calculus lies at the very foundations of computer science. Subscribe to podcasts and RSS feeds. In that regard, this textbook is extremely comprehensive. Overall, this is a solid reference text. 3. The text is not culturally insensitive or offensive in any way. I do find this text superior, though, and will recommend it to my students for use as supplementary study material. A lot of our readers have told us they got a 5 on the test using this textbook that's why we chose it as the best AP Computer Science Book. They also give a precise definition of limit in the main text, which I like. AP Statistics. From what I can tell, both work well on mobile devices. The examples and section exercises are not numbered online in the same way as in the pdf format, making referencing difficult. The clarity is one of the strongest features of this text. Relativity, rockets, swimmers and runners, windows... this book won't feel dated in 10 years. This revised text resource offers four practice exams in Calculus AB and four more in Calculus BC, all with answers and explanations. For some of the worked examples in the text the students sometimes had a difficult time understanding what was being done but this is not uncommon regardless of the textbook. However, for a book that must exist as a static pdf, this is perfectly fine. Calculus is an advanced mathematics course that teaches students about rates of change and it is essential to the study of computer science. The test covered all necessary topics for an introductory calculus course with a particularly strong eye to understanding functions. lems that arise in computer science. I did not find any grammatical or typographical errors. I think these two texts can be good supplement to each other for a calculus sequence course, depending on the skill level and goal of the course. Derivatives I'm not sure why these could not be fixed at least in the electronic version as they are discovered. This text covers the same material as other common Calculus I textbooks. Again, the book uses the traditional sequence of topics for calculus I, as follows: Reviewed by Tai Jen Liu, Math instructor, St Cloud Tech & Community College on 6/24/19, This text covers a standard list of topics for the 1st course of calculus. When using the book in class I changed the order of some of the sections. Logically reasonable and convenient. He was the President of SIAM during 1999 and 2000, and Chair of the Joint Policy Board for Mathematics. Those interactive features are good examples of this work. Not only is this textbook accurate, it is concise as well. Corresponding diagrams and figures are strong. The text is written in an easy to read manner that a mathematics student can use to follow-up on material taught in class or as a stand alone in an online format. Fundamentals of Discrete Math for Computer Science provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. This book follows the traditional layout of a calculus book. The content is broken up into 6 chapters covering essentially the same topics as those popular textbooks. It continues to differentiation and integration,... In general, organization is good. Its flow is fluent and logical (as mentioned in previous category). For more information on finding books and e-books, visit our help guide. In the pdf version of the book, the problems at the end of the section are numbered, it would be nice if the online version used the same numbering. Polynomials. Computer Science. Examples given covered topics that should endure for a good amount of time. Operating Systems: Three Easy Pieces: Berkeley CS 162: Computer Networking: The Internet turned out to be a big deal: understand how it works to unlock its full potential. That said, “Mathematics for Computer Science” by Eric Lehman, Tom Leighton and Albert R. Meyer is definitely a great book. I have not had students complain about them much. There is an index at the end of the text and there is a glossary at the end of each section.... The computer science skills of programming, coding, and computational thinking are essential skills to include in every education. The text is consistent in the content, the level of difficulty in exercise for the content, and notation use. The older text is a traditional calculus book can be used in 2-3 semesters calculus sequence course. Out of the partner resources that I was able to access with a guest login, no particular online software stood out from the crowd. Reviewed by Angela Simons, Mathematics Instructor, Century College on 6/20/17, The text covers the same material that is covered in Calculus 1 textbooks that I have used in the past and that other members of the department still use. The book is quite consistent. For my institution, all relevant topics are covered. Nevertheless, seeing several software companies embrace the OER initiative is an encouraging first step. Each topic has a little backstory or introduction that may reference a previous section, but it does not heavily reference past sections. It would be helpful if there was also a comprehensive glossary, especially in the pdf of the book for when it is printed. A smaller but still irritating issue is the lack of numbers on the problems in the online version, which makes it difficult for students using the book on a mobile device to locate the homework. In reading through the written portions, I did not find any glaring mistakes. For the most part, functions are in x or t. The figures used throughout are clear, support learning, and are free of extraneous visual information. Below is a list of examples of general mathematics & computer science subject headings: Mathematics. The sections seem well-partitioned and well-paced (again, not varying much from the standard Calculus textbook). Links to future examples and exercises are somewhat helpful, but it was not obvious how to return to the previous point in reading with the pdf file. There are extensive examples to go with each learning objective followed by practice problems to allow the student significant practice. The real-world data will eventually require updating – a regular necessity for all textbooks – but individual problems can be seamlessly modernized as needed. It would be hard to assign specific problems without them having a label. This is a good book for a 1st calculus course, especially for those non-STEM majors. It begins with a chapter of functions review which is particularly useful for those non-STEM students taking calculus. The physics applications are explained well enough so that a student would not need a physics background to be successful. There were no issues with consistency. However, beyond those two things I find the book to be of excellent quality, particularly given that it is free. read more. It requires the typically strict C … The online version of the book and the downloadable PDF are both very easy to load, navigate, and read on-screen. Present exponential derivatives earlier in Chapter 3. There are helpful glossaries at the end of each chapter, but no universal glossary for the entire textbook. f'' where f' is meant, cos instead of sin, and so on. Paper 1 includes many key topics such as differential calculus, integral calculus, matrices, and vector spaces. This is the only disappointing part. The text follows the usual format of offering many instructive, detailed examples for students to mimic, but tends to emphasize computational skills over conceptual understanding. The hes should be eliminated, if that is the case. Each chapter begins with an exploration of a real-world problem, which is tackled in more detail later in the chapter as the mathematical concepts for its solution develop. I have not found errors in formulas, examples, or homework problems. I did notice that Newton, Leibniz, and other European mathematicians are mentioned, while there is no mention of the contributions and discoveries of non-European mathematicians. Like beauty, “truth” some-times depends on the eye of the beholder, and it should not be surprising that what constitutes a proof differs among fields. In particular, the critical diagrams showing the construction of the derivative were difficult to decipher due to the labels being nearly on top of one another. OpenStax is committed to remaining transparent about all updates, so you will also find a list of past errata changes on your book page on openstax.org.". This companion can be used as a supplement for a beginning calculus course. Vector Analysis . Edwin Herman, University of Wisconsin-Stevens Point, Attribution-NonCommercial-ShareAlike Examples and problems do not make reference to individuals race or ethnicity. It would have been a nice addition to the online text to have links to animations that might illustrate a particular concept, like the derivative. Gilbert Strang was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. The topics in this course are easily divided into the 6 chapters offered here. It is simple to navigate to a particular section using the Table of Contents in the online interface. We may receive commissions on purchases made from our chosen links. read more. Readers whose sole focus is learning can easily skim over areas that are excessively detailed without losing grasp of the core concepts. The sections lined up almost exactly with our current book. Download lecture notes, assignments, exams and solutions. The book covers topics from the fundamental units of the 1991 A.C.M. This is overall a very good text for an introductory calculus course. In fact, we currently cover 251 in 24 sections, and Open stax covers the material in 25 sections. This is not usually a huge concern for a mathematics textbook, but I can see that the authors took particular care to find authentic application problems from a wide variety of contexts. In each section has 7-10 subsections. Calculus. The compact review of functions helps to make a good start with calculus. Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired. My only complaint is that the limits at infinity is listed with applications. The older one probably requires a more rigorous algebra background. It starts with a review of functions, moves to limits, and then proceeds through differentiation and integration. 7.8K views Before getting any other review book, or guide, we recommend getting this textbook to help aid you in getting a 5 on your AP Comparative Government exam. Calculus is a classic subject, so the topics here will not need to change. If you have a correction to suggest, submit it through the link on your book page on openstax.org. There is an index at the back. I particularly like that this book is written in a more conversational tone than most math textbooks, and includes more helpful pictures embedded in the text than most textbooks do. There's the obligatory picture of Newton and Leibniz and a nod to Archimedes but little else. The book doesn't make a particular effort to include examples that contain a breadth of cultural relevance. There were nice pieces of history interjected. Calculus is the study of motion and change and can be very frustrating and overwhelming for many students. No areas were noted as insensitive and/or offensive in any way. Inexpensive: If you’re looking for an inexpensive book, between $7 and $12 will get you a paperback that is either very targeted or somewhat general, with only a cursory look at computer science or the principles of computer science. This book will assist you in learning the concepts of calculus. This text covers the same material as other common Calculus I textbooks. While generally cultural relevance is not a major issue in calculus text, it probably will be great if the text includes some historical background as the topics move in logical order, since calculus is developed with rich history and important mathematicians along the way. Reviewed by Igor Baryakhtar, Instructor, Massachusetts Bay Community College on 6/30/20, This book covers the standard Calculus 1 course: traditional topics of differential calculus and the basic concepts of integral calculus. Our curriculum also includes numerical integration, which is in the corresponding Calculus II text, but that single section could be easily incorporated into our Calculus I... This follows the usual progression of a calculus textbook: limits, derivatives, applications, integrals, and more applications. However, with a few of the recommended resources listed here, you will find that calculus doesn't have to be difficult to learn. This book could do a bit more integrating coding or interactivity in ways that many completely online textbooks have already done. This course offers an introduction to Discrete Mathematics oriented toward Computer Science and Engineering. The online HTML version includes the table of contents and is easier to navigate, but was somewhat slow to reload with my internet connection. Cultural content is slight. I worked through a few examples and exercises and did not find any errors. It covered every section that our current book covers for 251 and 252. He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Academy of Sciences. One major difference: Limits at Infinity are not covered until just before Optimization, after the students have already been graphing functions using the derivative. The compact review of functions helps to make a good start with calculus. I like how the textbook is written --not terse--but simple wording. Examples tend to be neutral and not dealing with names of individuals. Further there should be a way to navigate to the end of the section to access the exercises without having to scroll all the way through. The text has relevant problems that relate directly to the topic at hand, but they are classic enough that the book will be able to be used for many semesters and will not quickly be obsolete. That said, I’m much more likely to notice errors (or have them brought to my attention by students) when actually using the text for a course. The book in its PDF format is easy to read and is laid out nicely. For an introductory calculus course, which contains all of the diagrams were not overly,... Be helpful if there are helpful glossaries at the end of each section, and on! Than they do the textbook is written -- not terse R. Meyer is definitely great... Than i would need to supplement this textbook more than i would n't use a text i. Elijah Bunnell, Mathematics, University of Wisconsin-Stevens point vector and matrix topics for! Colleagues on board to adopt the book but they keep pointed out the in! 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