# Principles of Mathematical Analysis

Author: Walter Rudin

Publisher: McGraw-Hill Publishing Company

ISBN: 9780070856134

Category: Mathematics

Page: 342

View: 6320

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

# Principles of mathematical analysis

Author: Walter Rudin

Publisher: N.A

ISBN: N.A

Category: Calculus

Page: 227

View: 4518

# Introduction to Mathematical Analysis

Author: William R. Parzynski,Philip W. Zipse

Publisher: McGraw-Hill College

ISBN: N.A

Category: Mathematics

Page: 359

View: 9886

# Functional Analysis

Author: Walter Rudin

Publisher: Tata McGraw-Hill Education

ISBN: 9780070619883

Category: Functional analysis

Page: 424

View: 8364

# Foundations of Mathematical Analysis

Author: Richard Johnsonbaugh,W.E. Pfaffenberger

Publisher: Courier Corporation

ISBN: 0486134776

Category: Mathematics

Page: 448

View: 4224

Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

# Mathematics and Technology

Author: Christiane Rousseau,Yvan Saint-Aubin

Publisher: Springer Science & Business Media

ISBN: 0387692169

Category: Mathematics

Page: 582

View: 447

This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An engaging quality of this book is that the authors also present the mathematical material in a historical context and not just the practical one. Mathematics and Technology is intended for undergraduate students in mathematics, instructors and high school teachers. Additionally, its lack of calculus centricity as well as a clear indication of the more difficult topics and relatively advanced references make it suitable for any curious individual with a decent command of high school math.

# Vectors, Pure and Applied

A General Introduction to Linear Algebra

Author: T. W. Körner

Publisher: Cambridge University Press

ISBN: 110703356X

Category: Mathematics

Page: 444

View: 6852

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

# Control and Nonlinearity

Author: Jean-Michel Coron

Publisher: American Mathematical Soc.

ISBN: 0821849182

Category: Commande non linéaire

Page: 426

View: 8186

This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.

# The Way of Analysis

Author: Robert S. Strichartz

Publisher: Jones & Bartlett Learning

ISBN: 9780763714970

Category: Mathematics

Page: 739

View: 3792

The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.

# COMPLEX ANALYSIS

Author: Lars V. Ahlfors

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 4668

# The Ricci Flow

Techniques and Applications. Geometric-analytic aspects

Author: Bennett Chow,Sun-Chin Chu,David Glickenstein,Christine Guenther,James Isenberg,Tom Ivey,Dan Knopf,Peng Lu,Feng Luo,Lei Ni

Publisher: American Mathematical Soc.

ISBN: 0821846612

Category:

Page: N.A

View: 5521

The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject, with an emphasis on the geometric and analytic aspects. The topics include Perelman's entropy functional, point picking methods, aspects of Perelman's theory of $\kappa$-solutions including the $\kappa$-gap theorem, compactness theorem and derivative estimates, Perelman's pseudolocality theorem, and aspects of the heat equation with respect to static and evolving metrics related to Ricci flow. In the appendices, we review metric and Riemannian geometry including the space of points at infinity and Sharafutdinov retraction for complete noncompact manifolds with nonnegative sectional curvature. As in the previous volumes, the authors have endeavored, as much as possible, to make the chapters independent of each other. The book makes advanced material accessible to graduate students and nonexperts. It includes a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors give the appropriate references so that the reader may further pursue the statements and proofs of the various results.

# Real and Complex Analysis

Author: Walter Rudin

Publisher: Tata McGraw-Hill Education

ISBN: 9780070619876

Category: Analysis

Page: 416

View: 1835

# Transition to Higher Mathematics: Structure and Proof

Author: Bob Dumas,John McCarthy

Publisher: McGraw-Hill Science/Engineering/Math

ISBN: 9780073533537

Category: Mathematics

Page: 304

View: 1124

This text is intended for the Foundations of Higher Math bridge course taken by prospective math majors following completion of the mainstream Calculus sequence, and is designed to help students develop the abstract mathematical thinking skills necessary for success in later upper-level majors math courses. As lower-level courses such as Calculus rely more exclusively on computational problems to service students in the sciences and engineering, math majors increasingly need clearer guidance and more rigorous practice in proof technique to adequately prepare themselves for the advanced math curriculum. With their friendly writing style Bob Dumas and John McCarthy teach students how to organize and structure their mathematical thoughts, how to read and manipulate abstract definitions, and how to prove or refute proofs by effectively evaluating them. Its wealth of exercises give students the practice they need, and its rich array of topics give instructors the flexibility they desire to cater coverage to the needs of their school’s majors curriculum. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

# Lecture Notes on Complex Analysis

Author: Ivan Francis Wilde

Publisher: Imperial College Press

ISBN: 1860946429

Category: Technology & Engineering

Page: 245

View: 7565

This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis.Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In particular, the appearance of ã, in this context, is carefully explained.The central results of the subject, such as Cauchy's Theorem and its immediate corollaries, as well as the theory of singularities and the Residue Theorem are carefully treated while avoiding overly complicated generality. Throughout, the theory is illustrated by examples.A number of relevant results from real analysis are collected, complete with proofs, in an appendix.The approach in this book attempts to soften the impact for the student who may feel less than completely comfortable with the logical but often overly concise presentation of mathematical analysis elsewhere.

# Real Analysis

Modern Techniques and Their Applications

Author: Gerald B. Folland

Publisher: John Wiley & Sons

ISBN: 1118626397

Category: Mathematics

Page: 416

View: 8501

An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.

# A Course of Higher Mathematics: Elementary calculus

Publisher: Pergamon

ISBN: N.A

Category: Mathematical analysis

Page: 635

View: 4704

Determinants the solution of systems of equations; Linear transformation and quadratic forms; The basic theory of group and linear representations of groups.

# List of References on Nuclear Energy

Author: International Atomic Energy Agency

Publisher: N.A

ISBN: N.A

Category: Nuclear energy

Page: N.A

View: 7213

# Real Mathematical Analysis

Author: Charles Chapman Pugh

Publisher: Springer

ISBN: 3319177710

Category: Mathematics

Page: 478

View: 1017