Learn everything you need to know about Calculus and practice your reasoning and practical skills with a high-end textbook suitable for a wide range of course levels. A Complete Course, 10th Edition by Robert Adams and Christopher Essex is the ultimate guide written by two leading authors in the field that continues to build its solid core following the successful pattern of its previous editions.
With its reader-friendly language, the textbook holds a reputation for excellent accuracy and mathematical rigour, offering you study material suitable to cover a standard semester course, as well as high-end content that will help you further explore some of the unique topics and approaches in the landscape of Mathematics.
Adding important, but overlooked topics while clarifying old ones, this edition will help you develop and practice your reasoning skills and apply techniques you have learned to concrete situations. Some of the topics this edition explores
Sufficient conditions for maxima and minima in higher this is the only mainstream textbook that covers the topic sufficiently. The fuzzy topic of the text explores and addresses any issues and questions, leading to new gateway topics, including spherical geometry (as in navigation) and special relativity, which emerge rather effortlessly once the metric concept is in place properly. Computers and mathematics through Maple and now there is no other Calculus book that deals better with the topic while treating unique but important applications from information theory to Lévy distributions. With a wide variety of exercises and useful features to support your learning, this unique edition continues to aspire to the definition of its subtitle of “A Complete Course.”
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9780135732588 A Complete Course, 10th Edition 9780135732526 A Complete Course, 10th Edition MyLab® Math -- Standalone Access Card MyLab® Math is not included. Students, if MyLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.
Robert Adams (January 21, 1928 – March 2, 1997) was an American Advaita teacher. In his late teens, he was a devotee of Sri Ramana Maharshi in Tiruvannamalai, India.[1] In later life Adams held satsang with a small group of devotees in California, US.[2] He mainly advocated the path of jñāna yoga[note 1] with an emphasis on the practice of self-enquiry.[3]
Adams' teachings were not that well known in his lifetime, but have since been widely circulated amongst those investigating the philosophy of Advaita and the Western devotees of Bhagavan Sri Ramana Maharshi.[4][note 2] A book of his teachings, Silence of the Heart: Dialogues with Robert Adams, was published in 1999.
The questions in this textbook were fine and suitable, as they helped develop a solid understanding of the concepts presented - but good God the verbal explanations in this textbook are terrible. The style of writing is beyond convoluted and the explanations for proofs, equations, and so on are just awful. If all you want to do is solve mathematical questions then this textbook is fine, but if you're looking to teach yourself mathematics then I would not recommend this book at all. 2.5/5
I first read this as a student and I still have a copy.
It starts out as a good introduction. You would need to understand algebra and trigonometry, at high school level. But it explains all the basic concepts of calculus, especially differentiation, and its inverse operation: integration. It also says a lot about Taylor series.
Later, it moves on to advanced topics, such as vector calculus.
The author explains all topics very clearly, and makes it seem quite easy.
The main advantage of this book compared to other calculus books is the more generalized manner in which subjects are treated. For instance, maxima/minima points are explained for n-dimensional functions. Most books give only the formulas for 2-dimensional functions because the generalization requires some linear algebra. Also, implicit differentiation is very well treated, is the only book that I found with generalization for this.
The main disadvantage is that the explanations and derivations are not so well explained as in James Stewart's calculus books for instance, but they are still pretty good. I was able to follow most of them.
I used this book to recap the calculus needed for deep learning.
In many ways, introductory calculus is a difficult subject to teach properly. Calculus is in a bit of a difficult place in mathematical pedagogy; it is a subject of paramount importance with broad application to nearly every natural science, yet a rigorous treatment is difficult to provide at a simple level as the theory is far more complex than meets the eye. Typically engineers and applied scientists will never need to see the inner workings in substantial detail (and most never do, unless they take courses in real analysis), yet this can at times provide a frustrating lack of clarity on the motivations and derivations of calculus. I have read a few calculus texts, and I have found that texts written for a first introduction are either at a level of too much handwaving (such as in Stewart's calculus) or of too much detail for a typical student without a background in mathematical proof (most analysis texts). I believe this text does a good job at teaching calculus at a level appropriate for a first introduction, yet with enough additional detail and optional proofs in the exercises to come away from it with a more satisfying understanding of some of the workings under the hood. For example, some of the exercises in this text do a good job of going above and beyond by guiding the reader through the derivation of Stirling's formula, the gamma function, more difficult methods for integration, and applicable results. Some chapters are not as complete as others, and other texts would be more appropriate (in the case of exterior forms and some of the vector calculus content). Overall, I would recommend this textbook as an excellent first introduction to calculus with enough difficulty and detail to remain interesting and provide a satisfying explanation for non-obvious results.
A good book on Calculus, very detailed with proofs, explanations of the theory, and plenty of examples. A good book to get a better understanding of the subject, or as a reference. However, I believe the books structure, which has a lot of mathematical proofs sprinkled throughout, would make the subject more confusing to those just learning or still gaining familiarity.
A extremely good book which introduces calculus to anyone at any level. It can be a hard read, but with some supplementation with khan academy and other online resources this will make you well known with the subject.