{"title":"Clark Bray","description":null,"products":[{"product_id":"algebraic-topology-book-clark-bray-9783030706074","title":"Algebraic Topology","description":"In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49738670670097,"sku":"NGR9783030706074","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030706079.jpg?v=1750729146"},{"product_id":"multivariable-calculus-book-clark-bray-9781482550740","title":"Multivariable Calculus","description":"For more information, including an entire collection of free video lectures and video help with exercises, see the book webpage at: http: \/\/www.math.duke.edu\/ cbray\/mv\/ This is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University -- a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray. It is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material. This book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor. The book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell's laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50764119671057,"sku":"CIN1482550741VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51098729021713,"sku":"GOR007706345","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1482550741.jpg?v=1751116694"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-clark-bray.oembed","provider":"World of Books ","version":"1.0","type":"link"}