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Precalculus: Graphs & Models
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Marvin L Bittinger
With a visual, graphical approach that emphasizes connections among concepts, this text helps students make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and ...
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Algebra and Trigonometry
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Judith A Beecher, Judith A Penna, Marvin L Bittinger
The BPB team has created a book where the use of the graphing calculator is optional but visualizing the mathematics is not. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition to helping ...
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Analysis with an Introduction to Proof
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Steven R Lay
For courses in undergraduate Analysis (an easy one) and Transition to Advanced Mathematics. This text helps fill in the groundwork students need to succeed in real analysis--often considered the most difficult course in the undergraduate curriculum. By introducing logic and by emphasizing the structure and nature of the arguments used, Lay helps ...
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Algebra & Trigonometry: Graphs & Models
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by
Marvin L Bittinger
With a visual, graphical approach that emphasizes connections among concepts, this text helps students make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and ...
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Introductory real analysis
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by
A. N. Kolmogorov, S. V. Fomin
Comprehensive, elementary introduction to real and functional analysis. Covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. Features 350 problems.
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Real Analysis
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H. L. Royden
This text is designed for graduate-level courses in real analysis. Real Analysis, Fourth Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space ...
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Algebra and Trigonometry: Graphs & Models and Graphing Calculator Manual Package
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Marvin L Bittinger, Judith A Beecher, David J Ellenbogen
The authors help students "see the math" through their focus on functions; visual emphasis; side-by-side algebraic and graphical solutions; real-data applications; and examples and exercises. By remaining focused on today's students and their needs, the authors lead students to mathematical understanding and, ultimately, success in class.
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Introductory Functional Analysis with Applications
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Erwin Kreyszig
Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.
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Modern Algebra: An Introduction
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John R Durbin
The author has written this book with two main goals in mind: to introduce the most important kinds of algebraic structures, and to help students improve their ability to understand and work with abstract ideas. The first six chapters present the core of the subject, the remainder are designed to be as flexible as possible. The book covers groups ...
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Functional Analysis
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by
Walter Rudin
This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and ...
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Elements of the Theory of Functions and Functional Analysis
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A N Kolmogorov, S V Fomin
Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque interval, Hilbert Space, more. Exercises. 1957 edition.
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Optimization by Vector Space Methods
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David Gilbert Luenberger
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization ...
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Mathematical Analysis: Linear and Metric Structures and Continuity
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Mariano Giaquinta, Giuseppe Modica
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self ...
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Introduction to Functional Analysis
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Angus E Taylor
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Functional Analysis: An Introduction to Banach Space Theory
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by
Terry Morrison
Functional analysis is one of the most active areas of mathematics at both the theoretical and applied levels, combining analytical, topological, and algebraic techniques in the study of topological vector spaces and operators between these spaces. This book offers a thorough introduction to functional analysis with a unique emphasis on Banach ...
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Theoretical Numerical Analysis: A Functional Analysis Framework
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Kendall Atkinson, Weimin Han
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation ...
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A Course in Functional Analysis
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by
Conway
This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author ...
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Functional analysis
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by
Frigyes Riesz, Bela Nagy, Szokefalvi
Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.
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An Introduction to Laplace Transforms and Fourier Series
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Phillip P G Dyke
This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided ...
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Problem Book in the Theory of Functions
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Konrad Knopp
Single-volume edition of renowned collection of problems. Part 1 contains more than 300 problems dealing with fundamental concepts; part 2 has over 230 problems in advanced theory. Includes hints and full solutions to all problems.
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Fourier series and orthogonal polynomials
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Dunham Jackson
This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, ...
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First course in functional analysis
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Casper Goffman, George Pedrick
Includes exercises at the end of each chapter, revised bibliographies, references and an index.
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Introduction to the Theory of Distributions
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by
F G Friedlander
The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic ...
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Complex Analysis
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Eberhard Freitag, Rolf Busam
The idea of this book is to give an extensive description of the classical complex analysis, here 'classical' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward ...
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Applied Functional Analysis
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by
Jean-Pierre Aubin
A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean--Pierre Aubin updates his popular reference on ...
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