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Finite-Dimensional Vector Spaces
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Paul Richard Halmos
As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938 - even though he did not have a fellowship - to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to ...
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Transform Circuit Analysis for Engineering and Technology
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William D Stanley
This revision continues to present the fundamentals of transient circuit and system analysis with an emphasis on the Laplace transform and pole-zero approach for analyzing and interpreting problems. An application-oriented treatment of transform circuit analysis is carefully aimed at engineering technology or applied engineering programmes, and a ...
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Signals, Systems, and Transforms
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Charles L Phillips, John M Parr
For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments. This text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier ...
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Euclidean and Transformational Geometry: A Deductive Inquiry
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Shlomo Libeskind
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Tables of Integral Transforms
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Arthur Erdelyi (Editor), Bateman Manuscript Project
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Continuous and Discrete Signals and Systems
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Samir S Soliman, Mandyam D Srinath
Appropriate for courses in Signals and Systems, and Transform Theory. This introductory text assists students in developing the ability to understand and analyze both continuous and discrete-time systems. The authors present the most widely used techniques of signal and system analysis in a highly readable and understandable fashion.
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Signals and Systems
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M L Meade, C R Dillon
This book was written for first and second year undergraduates in electronic engineering and the physical sciences with the aim of providing a firm grounding in the study of signals and systems. In this second edition the authors provide a more detailed treatment of the z-transform. A new chapter serves to review and integrate much of the earlier ...
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Transform Linear Algebra
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Frank Uhlig
For the standard first course that emphasizes understanding some theory as well as computations for majors in economics, engineering, science, or mathematics. This text encourages students to develop an intuitive understanding of the foundations of Linear Algebra. An emphasis on the concepts of Linear Algebra and Matrix Theory conveys the ...
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Matrices and transformations
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Anthony J. Pettofrezzo
Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most theorems. Answers to odd-numbered exercises.
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The Fourier Transform and Its Applications
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Ronald N Bracewell
This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other Fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of ...
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Matrices and Linear Transformations: Second Edition
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Charles G Cullen, Culten
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field. 12 illustrations. Index.
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Euclidean geometry and transformations
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Clayton W Dodge
This introduction to Euclidean geometry emphasizes both the theory and the practical application of isometries and similarities to geometric transformations. Contents include modern elementary geometry, isometries and similarities in the plane, vectors and complex numbers in geometry, inversion, and isometries in space. Numerous exercises, many ...
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Transformation of Knowledge, Information and Data: Theory and Applications
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Patrick Van Bommel (Editor), Patrick Van Bommel (Editor)
Transformations provide a means to construct new IT solutions. Van Bommel (University of Nijmegen, The Netherlands) presents practical transformation techniques for all kinds of knowledge structures and provides several experimental prototype transformation tools. Coverage encompasses fundamentals of transformation, transformation approaches, and a
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Field Theory Handbook: Including Coordinate Systems, Differential Equations and Their Solutions
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Parry Hiram Moon
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Topological Vector Spaces
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Helmut H Schaefer
This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and ...
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A Hilbert space problem book
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Paul R. Halmos
From the Preface: 'This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks...The second part, a very short one, consists of hints...The third part, the longest, consists of solutions: proofs, answers, or ...
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Theory of Stein Spaces
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Hans Grauert
From the reviews:"Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement. It is a pleasure to have this fundamental material now readily accessible to any serious mathematician."J. Eells in Bulletin of the London Mathematical Society (1980)"Written by two ...
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Handbook of Function and Generalized Function Transformations
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by
Zayed
Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems.The author has compiled the most ...
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Function spaces, entropy numbers, differential operators
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Edmunds, Triebel
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i ...
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Generalized Inverses of Linear Transformations
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S L Campbell
Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. This book is an excellent reference ...
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Introduction to Hilbert Space
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Sterling K. Berberian
From the Preface: "This textbook has evolved from a set of lecture notes...In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics...It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and ...
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Mathematical and Computer Programming Techniques for Computer Graphics
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Peter Comninos
Mathematical and Computer Programming Techniques for Computer Graphics introduces the mathematics and related computer programming techniques used in Computer Graphics. Starting with the underlying mathematical ideas, it gradually leads the reader to a sufficient understanding of the detail to be able to implement libraries and programs for 2D and ...
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Linear Algebra and Projective Geometry
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Reinhold Baer
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. These theorems lead to a reconstruction of the geometry that constituted the ...
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Binary Polynomial Transforms and Nonlinear Digital Filters
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S Agaian, K Egiazarian, J Astola
This work offers a unified presentation of the theory of binary polynomial transforms and details their numerous applications in nonlinear signal processing. The book also: introduces the Rademacher logical functions; considers fast algorithms for computing Rademacher and polynomial logical functions; focuses attention on general auto- and cross ...
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The Volume of Convex Bodies and Banach Space Geometry
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Gilles Pisier
This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local ...
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