I have also read through another older Calculus text in this open library by Strang. The mathematical notation is also good and not terse. Concrete Mathematics: A Foundation for Computer Science (2nd Edition) I'm not sure why these could not be fixed at least in the electronic version as they are discovered. Reviewed by Elijah Bunnell, Mathematics Instructor, Rogue Community College on 4/11/17, This text was very comprehensive. It begins with a chapter of functions review which is particularly useful for those non-STEM students taking calculus. 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. I find this feature also is a plus for students whose algebra experience is limited, or of long past. Vector Analysis . lems that arise in computer science. I mentioned to an OpenStax representative that the book still has (many) 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. Terminology is used in a consistent manner. 3. 4. I worked through a few examples and exercises and did not find any errors. Also top stories from business, politics, health, science, technology, music, arts and culture. The terminology used, names of concepts and theorems, and so on are all standard in the discipline. It covers the entirety of the usual Calculus I curriculum and includes sections with applications that are particularly helpful. We did many of the problems both in class and as assigned problems and found no errors. read more. This text covers the same material as other common Calculus I textbooks. When we got to chapter 4 the class was reminded of our previous discussion and we moved on. I consider this is the ultimate advantage of using OER material, instructor can put together a good curriculum material suitable for the audience without worry too much about hiking up the cost. In fact, we currently cover 251 in 24 sections, and Open stax covers the material in 25 sections. AP Physics C: Electricity and Magnetism. For example in section 3.1, Defining the Derivative the diagrams cluttered and students who are being exposed to the idea of the derivative for the first time may not understand what label goes with what. I did not find any grammatical or typographical errors. For more information on finding books and e-books, visit our help guide. 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. In reading through the written portions, I did not find any glaring mistakes. I do find this text superior, though, and will recommend it to my students for use as supplementary study material. Java: A Beginner’s Guide by Herbert Schildt. The exposition is very clear, direct, succinct, and at an appropriate level of mathematical sophistication for my Calculus I students. I like how the textbook is written --not terse--but simple wording. Do you like to see a step by step solution to a calculus problem? The “Student Projects” are of this type, but I would like to see more of these. This book is intended to be used primarily for self study, preferably in conjunction with a regular course in the fundamentals of computer science using the new ANSI/ISO Standard C++. 7.8K views (26952 views) Vector Math for 3D Computer Graphics by Bradley Kjell - Central Connecticut State University, 2003 A text on vector and matrix algebra from the viewpoint of computer graphics. I need your recommendation for math books related to computer science in these areas: Boolean Algebra (Boolean logic, gates, state machines, etc.) Modularity is logically reasonable, text is well organized (see the Table of Contents) and is a natural part of the Calculus 1,2,3 sequence. Reviewed by Ashley Fuller, Associate Professor, Richard Bland College on 10/9/19, The text is well laid out and has topics broken down into appropriate subtopics within each larger chapter. Some of the sections cover quite a lot of material, sometime too much to be covered with in a 50 minute class period which is not terribly uncommon. I did not find any errors in the text. It also has relevant examples that allow students to connect the definitions to concepts with which they already have some familiarity. The book is accurate, although I did not complete all exercises in order to check their solutions. Ana Bell is a lecturer in the Electrical Engineering and Computer Science Department at MIT for "Introduction to Computer Science and Programming using Python", "Introduction to Computational Thinking and Data Science", and an Instructor for the same courses on edX.org. It certainly can be more of them, comparing to some commercial calculus text, if time and resources allow. The book is clear in its written language, definitions, and figures. By using ThoughtCo, you accept our, Prepare for the AP Calculus Advanced Placement Exam, The 9 Best Books for Learning Spanish in 2021, The 9 Best Books for Learning French in 2021, The 9 Best Podcasts for Learning French in 2021, AP Calculus AB Course and Exam Information, Prepare for College With High School Math. Broad applications in biology, engineering, business, statistics, chemistry, and computer science for calculus are included. The textbook covers topics covered by commercial textbooks. Although the surface-type questions presented are sufficient for skill-building, I was unable to find more comprehensive, multi-step problems that require students to synthesize concepts while providing immediate feedback. The text is about calculus, which is relevant to all cultures. Java is a fundamental programing language and in this … Corresponding diagrams and figures are strong. The overall organization, structure, and flow is good. The text very clearly explains the concepts and examples and relations between them. Plenty of exercises are placed throughout the text and include solutions for about half of them, similar to what is done for the odd numbered problems in a physical textbook. If there are grammar errors in the book, they did not distract from the content. There is even a “Review of Pre-Calculus” at the end of the text, which contains all relevant formulas and identities. Some of these errors are minor typos, but others significantly change the meaning of the text, e.g. We may receive commissions on purchases made from our chosen links. It begins with a chapter of functions review which is particularly useful for those non-STEM students taking calculus. The clarity is one of the strongest features of this text. 1. Many of the tables were oversized and distracting. The material is broken into manageable chunks and foundational material is covered before advanced material. The text makes attempts to give examples and problems that are current and up-to-date. 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. The text has content that is accurate and does not have errors nor is it biased. The test covered all necessary topics for an introductory calculus course with a particularly strong eye to understanding functions. read more. The applets at CalculusApplets.com did not open, probably because of updated browser security requirements, and other applets seemed outdated or only partly functional. “Mathematics for Computer Science” from MIT OpenCourseWare is available in pdf format. Out of the partner resources that I was able to access with a guest login, no particular online software stood out from the crowd. Again, the book uses the traditional sequence of topics for calculus I, as follows: I wouldn't use a text that didn't. Each section was well motivated with examples. AP Physics C: Mechanics. AP Computer Science A. AP Computer Science Principles. That said, “Mathematics for Computer Science” by Eric Lehman, Tom Leighton and Albert R. Meyer is definitely a great book. read more. I don't recall seeing any examples that are inclusive of races, ethnicities, and backgrounds. Many of the exercises are straightforward and simply computational. The text is organized in such a way to accommodate both Early Transcendental and Late Transcendental approaches. There isn’t an overuse of greek letters, which I like. The entire subject matter of computer science engineering mathematics has been organised into 2 functional volumes. Very logical flow. Organization of the book can be understood very well from the Preface. This is the post on the topic of the 1st year Computer science Text Book pdf download. The test covered all necessary topics for an introductory calculus course with a particularly strong eye to understanding functions. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world. Logically reasonable and convenient. If you enjoyed How to Ace Calculus, then you'll quite like this one. It is more focus on introducing the concepts with examples of application well worked out. Nevertheless, seeing several software companies embrace the OER initiative is an encouraging first step. AP Environmental Science. Again just the issue that the book still has errors and these errors need to be worked on rightaway. The book covers topics from the fundamental units of the 1991 A.C.M. Book Description. There is a nice mix of theory and applications throughout. Computers -- History . However I could not find a way to navigate to a particular page by the page number. Examples tend to be neutral and not dealing with names of individuals. All sections have a similar flow and the depth feels even. I would need to supplement this textbook more than I would need to supplement other commercial options. The organization/structure of this text is as most standard calculus text. The addition of colored definition boxes (light blue) and problem-solving strategy boxes (light orange) makes key concepts easy to find. It starts with a review of functions, moves to limits, and then proceeds through differentiation and integration. Subscribe to podcasts and RSS feeds. The book in its PDF format is easy to read and is laid out nicely. Overall, this is a solid reference text. Most specifically, section 4.6 "Limits at Infinity and Asymptotes" was covered in chapter 1 and chapter 2 while talking about functions and limits. In today’s world, if one wants to be a true, creative professional, practically in any ﬁeld one has to command En- … 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. There are a variety of topics used in examples. It covers the entirety of the usual Calculus I curriculum and includes sections with applications that are particularly helpful. The book is easy to understand, and most material is presented in a sensible order. read more. Head First C: A Brain-Friendly Guide (1st Edition) by David Griffiths. I was unable to find any major topic that is covered in my classes currently that wasn't covered in this book. The National Center for Women & Information Technology calls computer science and literacy essential for the 21st century. Many examples, exercises, and help sessions are included in this resource. (Often, the pictures in commercial textbooks appear off to the side, and it's not always clear which figures go with which text.) Although this book is a self-teaching guide, it is a Calculus refresher, not appropriate for those without some knowledge of calculus. For instance, having only one problem #450 in the entire text eliminates confusion. read more. with the perspective of building foundation of mathematics for computer science is worth to have a look. No bias was present. It is a universal language throughout engineering sciences, also in computer science. The images size and scale nicely across formats. I have not had students complain about them much. Each subsequent chapter flows in a logical and concise way. Math & Computer Science. AP Calculus AB. Reviewed by Caleb Moxley, Visiting Assistant Professor, Randolph College on 8/15/17, The test covered all necessary topics for an introductory calculus course with a particularly strong eye to understanding functions. However, that older text contains very good narratives that explore/explains those ideas presented in calculus, some of them are thoughtfully placed to connect reader to the background why/how certain theorems emerge or being developed. The text is relevant to the subject as it is supposed to to be taught these days. This text was very comprehensive. The book is divided into sections that could easily be taught in one or two days each. However, for a book that must exist as a static pdf, this is perfectly fine. The book emphasises the proof theory for the type-free lambda-calculus. Any instructor wanting to focus on computational skills would be completely happy with this text. I like the learning objectives... If you're familiar with the Dummy series, you'll appreciate the same format here with Calculus for Dummies. This text covers the same material as other common Calculus I textbooks. The text is clearly written, and its colloquial style is a strong point of the book. A variety of application problems requiring the use of technology (denoted with [T]) accompany solid pure math exercises. Index and glossary with easy access page number are presented in the end for reference. This book follows the traditional layout of a calculus book. The table of contents and material covered is very similar to most standard, traditional Calculus textbooks intended for the first semester of study. Notation and symbols are used in a must-only fashion. This book has a similar structure to that of Stewart or Briggs. It covered every section that our current book covers for 251 and 252. I used this book in teaching students with the same major a few years back, and all of them found it to be detailed and challenging -- worthy to be read thoroughly. I used this textbook in Calculus 1 during fall semester 2016. by Donald E. Knuth. The online version of the book and the downloadable PDF are both very easy to load, navigate, and read on-screen. 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. ThoughtCo uses cookies to provide you with a great user experience. A great resource.. AP Biology. 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. That said, I appreciate the continuous numbering of section problems in the pdf version. I haven't noticed any English grammar errors, although as I said earlier there are some issues with mathematical errors (typos). There is a nice mix of theory... Exercises are place consistently throughout the written text. Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. This text covers a standard list of topics for the 1st course of calculus. Reviewed by Michelle Perschbacher, Adjunct Instructor of Mathematics, Northern Virginia Community College on 6/20/17, This book covers all major topics in a typical first calculus course. In each section has 7-10 subsections. I think The Calculus 7 by Louis Leithold would serve as a good textbook for your undergraduate computer science students. We move Section 4.6 after Section 2.4 so that everything dealing with limits is covered together. Those interactive features are good examples of this work. The grammar is good. This companion can be used as a supplement for a beginning calculus course. I found very few typos or grammatical errors. Navigation in the PDF version of the text could be improved. There are also several interactive applets that have easy click-throughs from the pdf and the ebook. 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. Within each section topics are broken down in even greater detail and then examples are given to coincide with those topics. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. 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. … Download lecture notes, assignments, exams and solutions. However, the problems at the end of each section are not numbered in the online version of the book, and this makes it difficult for students to find the assigned problems unless they have a download (which they do not if, for example, they're working on a phone) or a hard copy. I would not omit any of those sections for a complete 1st course, but it certainly can be tailored and grouped to individual instructor need. The table of contents and material covered is very similar to most standard, traditional Calculus textbooks intended for the first semester of study. 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. Professor Strang has published eleven books. Glossaries appeared at the end of each section, and the index was useful and contained all expected references. There is an index at the back. Cambridge International AS and A Level […] Discrete Mathematics ; Probability & Basic Statistics Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. I was unable to find any major topic that is covered in my classes currently that wasn't covered in this book. I would want to reorder my presentation of some of them, but it appears that would not cause any major problems. The links to web resources and online data are in many cases helpful and enticing, but will require updates over time, not only to maintain functioning URL’s, but also to continue to refer to up-to-date data and examples. Since the text is thorough and organized in a clear way, instructors can easily select the topics to cover for a given course. The sections are often too long for an hour-long lesson but the divisibility of the book allows the instructor to shorten or lengthen a lesson to fit the time allowed. Again this book is written in a simple clear manner. The explanations of concepts are very readable. It is difficult to use the online version in class and call students attention to a problem in their printed pdf copy. The book is quite consistent. Reviewed by Nicole Kraft, Math Instructor, Portland Community College on 6/19/18, From the start, this book gives a comprehensive (yet straight forward) review of the necessary function knowledge. Of course there are probably many considering it is a newer math book. The text is relevant to all people and all cultures. This revised text resource offers four practice exams in Calculus AB and four more in Calculus BC, all with answers and explanations. The physics applications are explained well enough so that a student would not need a physics background to be successful. Present exponential derivatives earlier in Chapter 3. This is another good calculus resource for the beginner calculus student. 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 images are of good quality and seem to be used at pretty much every opportunity. The subchapters are in logic order and easily adopted for use. Formatting is clear and consistent. There won’t be too much picking and choosing of things from within a section. Is there a canonical book on mathematics for programmers? This book covers all major topics in a typical first calculus course. Respected educators and practitioners author Pearson’s long-trusted course content in a variety of formats — digital and print — so students can access them however they like. It seems like the text was intentionally written to be gender and culture free. It is simple to navigate to a particular section using the Table of Contents in the online interface. Diagrams were not overly cluttered, each page was free of distracting margin comments and very to the point. My only complaint is that the limits at infinity is listed with applications. There are numerous examples from economics and biology throughout the text as well. It would be helpful if there was also a comprehensive glossary, especially in the pdf of the book for when it is printed. Not only is this textbook accurate, it is concise as well. They also give a precise definition of limit in the main text, which I like. The Fundamental Theorem of Calculus, often a tricky section, is handled clearly and intuitively. This text is broken up nicely by topic. There is some inclusion of the “rule of four” (graphical, tabular, and verbal approaches in addition to symbolic computations), but not as much as I personally would like to see. 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. read more. This means it's a very easy switch. CC BY-NC-SA, Reviewed by Cristina Villalobos, Professor, University of Texas Rio Grande Valley on 11/13/20, The textbook covers topics covered by commercial textbooks. Examples and problems do not make reference to individuals race or ethnicity. This textbook easily divides into small sections and subsections, as most math textbooks do. The online HTML version includes the table of contents and is easier to navigate, but was somewhat slow to reload with my internet connection. Easy to navigate. 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. Its flow is fluent and logical (as mentioned in previous category). The textbook is very consistent in its visual presentation. There are extensive examples to go with each learning objective followed by practice problems to allow the student significant practice. His home page is math.mit.edu/~gs/ and his video lectures on linear algebra and on computational science and engineering are on ocw.mit.edu. A... In that regard, this textbook is extremely comprehensive. He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Academy of Sciences. I appreciate that the authors took the time and space in example problem solutions to include algebraic steps that other texts tend to omit. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. The text is well laid out and has topics broken down into appropriate subtopics within each larger chapter. It is freely available here. Switching to open stax would be nearly effortless. This book covers the standard Calculus 1 course: traditional topics of differential calculus and the basic concepts of integral calculus. Edwin Herman, University of Wisconsin-Stevens Point, Attribution-NonCommercial-ShareAlike The layout was intuitive. λ-Calculus and Computer Science Theory Proceedings of the Symposium Held in Rome March 25–27, 1975 The grammar in this text is good and it is well written. Reviewed by Kira Hamman, Lecturer in Mathematics, Pennsylvania State University on 2/1/18, The book is comprehensive. Trigonometry. Deb Russell is a school principal and teacher with over 25 years of experience teaching mathematics at all levels. AP Statistics. A positive change to the online version would be if it were possible to jump to the exercises that appear at the end of the section. The book doesn't make a particular effort to include examples that contain a breadth of cultural relevance. In that regard, this textbook is extremely comprehensive. Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The exercise sets are of similar difficulty and length throughout. The material is timeless, and the examples used aren't too topical. There is an index at the end of the text and there is a glossary at the end of each section. 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. Commas are used in correct places, which adds to clarity. The topics in this course are easily divided into the 6 chapters offered here. Extensive further-reaching problems and Student Projects for each chapter make this text suitable for honors sections as well. Although the majority of the real-world objects referenced inanimate, the humans referenced are male. For example, in the judicial system, legal There's the obligatory picture of Newton and Leibniz and a nod to Archimedes but little else. It was an easy task to find a suitable stopping point to fit within the allotted time. Edwin "Jed" Herman, Professor, Department of Mathematical Sciences, University of Wisconsin-Stevens Point. This text made a suitable replacement for the text that I had used previously. If you enjoyed How to Ace Calculus, then you'll quite like this one. This is overall a very good text for an introductory calculus course. No apparent problems in navigation, or distortion of images found during my reading. Learning objectives, at the beginning of each section, key terms, key concepts, and key equations at the end of each sections are very helpful. Relativity, rockets, swimmers and runners, windows... this book won't feel dated in 10 years. Pearson’s award-winning course materials provide an engaging, interactive learning experience focused on academic achievement. All that calculus stuﬀ is simply a language that we use when we want to formulate or understand a problem. After limits, differentiation is covered (with applications contained in a following section) and then integration is covered (with applications in the subsequent section). I have not found errors in formulas, examples, or homework problems. This book is great because it's available as a pdf, or in an easily navigable ebook form. I like the learning objectives clearly stated at the beginning of each section, and the chapter summary and review problems. Abundant exercises for practice, and external resource, such as applets or interactive graph, also are occasionally included to help the visualization of ideas. Cultural content is slight. This book will assist you in learning the concepts of calculus. The book is comprehensive. Glossaries appeared at the end of each section, and the index was useful and contained all expected references. Not for the beginner calculus student. The text is easy to read and is pleasantly presented. The content is accurate and unbiased. This follows the usual progression of a calculus textbook: limits, derivatives, applications, integrals, and more applications. 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. Section 2.1 gives a nice overview of calculus, providing scaffolding for students to see where the course is heading. I have been very happy with how the text is broken up. Links to helpful interactive applets and demonstrations through the Wolfram Demonstrations Project, GeoGebra, Khan Academy, as well as OpenStax are embedded in the text, although two of the links I tried were broken. Others are self-published online books, or course notes which are so thorough that they serve as an alternative to a conventional textbook. It should not take longer than a year to correct ALL errors in the book, just have someone go through each line of the book. Terms are defined in easy to read highlighted sections followed by examples that can be easily targeted based on topic. I wish it were listed in the limits section. NPR delivers breaking national and world news. Each of the sections should be clickable so that by doing so you are taken to the start of the section. It is relatively easy access for the text. The older one probably requires a more rigorous algebra background. The text could be improved, in my opinion, by greater inclusion of conceptual examples and exercises, and more modeling. This textbook is available in online, downloadable pdf, and print version. There are no consistency errors which I found. If you have a correction to suggest, submit it through the link on your book page on openstax.org. There were nice pieces of history interjected. You'll find the following topics made easy: forms and improper integrals, polar coordinates, sequences and series, vectors, parametric coordinates, and graphing. Is pleasantly presented typical two- or three-semester general calculus course Mathematics course that students... Algebra and on computational science and engineering was very comprehensive received the von Neumann Medal of the book is school! Offering the book for when it is simple to navigate to a particular page by the page number section! Able to use for both the instructor and the index was useful and contained all expected references,! 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