Prof E Mcsquared S Calculus Primer

Author: Swann, Howard
Publisher: Courier Corporation
ISBN: 0486789705
Size: 30.92 MB
Format: PDF, ePub
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Highly recommended." — The Times (London) Educational Supplement "It will delight both young and old." — The American Mathematical Monthly "A truly lively and unusual, not to mention precise, textbook." — New York Public Library "The calculus book looks great. There has never been anything like it." — Martin Gardner, longtime author of the "Mathematical Games" column for Scientific American Filled with humorous illustrations as well as lively and absorbing mathematical learning, this calculus comic book requires only a familiarity with high school algebra and a sense of humor. Prof. E. McSquared introduces each concept in differential calculus in the form of a memorable character and helps readers develop their intuitive powers. A lifesaver for struggling students and a treat for the mathematically minded, the book includes helpful exercises and complete solutions.

Linear Algebra

Author: Belkacem Said-Houari
Publisher: Birkhäuser
ISBN: 3319637932
Size: 47.75 MB
Format: PDF
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This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples. The book includes a set of exercises at the end of each chapter, which have been carefully chosen to illustrate the main ideas. Some of them were taken (with some modifications) from recently published papers, and appear in a textbook for the first time. Detailed solutions are provided for every exercise, and these refer to the main theorems in the text when necessary, so students can see the tools used in the solution.

Measure Theory

Author: Vladimir I. Bogachev
Publisher: Springer Science & Business Media
ISBN: 3540345140
Size: 36.13 MB
Format: PDF, Mobi
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This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.