An Introduction to Linear Analysis (Addison-Wesley Series in Mathematics) by Donald L. Kreider (PDF)

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An Introduction to Linear Analysis

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I cannot be more happy about this purchase. Thank you!

⭐The cover was in lousy condition, nothing like the picture. Disappointed with it.

⭐Soo good it almost blew my mind. There is no possibility of doubts after you red this book

⭐I have no hesitation in recommending this book, it is one of the best books on the interface of pure mathematics and Applied mathematics. Often Applied maths or mathematical methods courses for physicists and engineers are simply an introduction to a series of techniques how to solve differential equations in various co-ordinate systems, a bewildering range of special functions, Bessel, Hermite, Legendre and the ridicuously named Confluent Hypergeometric function. There is no attempt to explain how all these functions have similar properties when considered as orthonormal vectors in a vector space. Neither is there any real justification given for why Fourier series actually converge to a given solution. On the other hand most pure maths will just concentrate on the underlying structure of the mathematical object they are concentrating on with no real hint as to why the stuff they are studying is useful. This book is one of the few I know of that gives an introduction to the underlying mathematical structure behind all the various solutions to linear differential equations as well as including plenty of concrete examples and introducing the reader to a wide range of techniques. Thus it has one foot on the ground in the fact that the reader is shown numerous techniques for solving differential equations in various coordinate systems and one foot (for want of a better phrase) in the heavens as the underlying mathematical structure is also given. The analogy between geometric vectors and functions in function space is one of the profoundest in all of mathematics and its applications to physics both classical and quantum. This book provides the best introduction to this subject I am aware of.

⭐Excellent

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