Primer Of Modern Analysis

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Primer of Modern Analysis

Author : K.T. Smith
Publisher : Springer Science & Business Media
ISBN 13 : 1461211441
Total Pages : 457 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Primer of Modern Analysis by : K.T. Smith

Download or read book Primer of Modern Analysis written by K.T. Smith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals.

Primer of Modern Analysis

Author : K.T. Smith
Publisher : Springer
ISBN 13 : 0387907971
Total Pages : 446 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Primer of Modern Analysis by : K.T. Smith

Download or read book Primer of Modern Analysis written by K.T. Smith and published by Springer. This book was released on 1983-08-29 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals.

A Primer of Infinitesimal Analysis

Author : John L. Bell
Publisher : Cambridge University Press
ISBN 13 : 0521887186
Total Pages : 7 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A Primer of Infinitesimal Analysis by : John L. Bell

Download or read book A Primer of Infinitesimal Analysis written by John L. Bell and published by Cambridge University Press. This book was released on 2008-04-07 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.

A Basis Theory Primer

Author : Christopher Heil
Publisher : Springer Science & Business Media
ISBN 13 : 0817646868
Total Pages : 549 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Basis Theory Primer by : Christopher Heil

Download or read book A Basis Theory Primer written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2011 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.

Modern Money Theory

Author : L. Randall Wray
Publisher : Springer
ISBN 13 : 1137539925
Total Pages : 322 pages
Book Rating : 4.1/5 (375 download)

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Book Synopsis Modern Money Theory by : L. Randall Wray

Download or read book Modern Money Theory written by L. Randall Wray and published by Springer. This book was released on 2015-09-22 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition explores how money 'works' in the modern economy and synthesises the key principles of Modern Money Theory, exploring macro accounting, currency regimes and exchange rates in both the USA and developing nations.

Longitudinal Data Analysis

Author : Toon Taris
Publisher : SAGE
ISBN 13 : 9780761960270
Total Pages : 182 pages
Book Rating : 4.9/5 (62 download)

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Book Synopsis Longitudinal Data Analysis by : Toon Taris

Download or read book Longitudinal Data Analysis written by Toon Taris and published by SAGE. This book was released on 2000-11-13 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible introduction to the theory and practice of longitudinal research takes the reader through the strengths and weaknesses of this kind of research, making clear: how to design a longitudinal study; how to collect data most effectively; how to make the best use of statistical techniques; and how to interpret results. Although the book provides a broad overview of the field, the focus is always on the practical issues arising out of longitudinal research. This book supplies the student with all that they need to get started and acts as a manual for dealing with opportunities and pitfalls. It is the ideal primer for this growing area of social research.

Modern Cryptography Primer

Author : Czesław Kościelny
Publisher : Springer Science & Business Media
ISBN 13 : 3642413862
Total Pages : 246 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Modern Cryptography Primer by : Czesław Kościelny

Download or read book Modern Cryptography Primer written by Czesław Kościelny and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography has experienced rapid development, with major advances recently in both secret and public key ciphers, cryptographic hash functions, cryptographic algorithms and multiparty protocols, including their software engineering correctness verification, and various methods of cryptanalysis. This textbook introduces the reader to these areas, offering an understanding of the essential, most important, and most interesting ideas, based on the authors' teaching and research experience. After introducing the basic mathematical and computational complexity concepts, and some historical context, including the story of Enigma, the authors explain symmetric and asymmetric cryptography, electronic signatures and hash functions, PGP systems, public key infrastructures, cryptographic protocols, and applications in network security. In each case the text presents the key technologies, algorithms, and protocols, along with methods of design and analysis, while the content is characterized by a visual style and all algorithms are presented in readable pseudocode or using simple graphics and diagrams. The book is suitable for undergraduate and graduate courses in computer science and engineering, particularly in the area of networking, and it is also a suitable reference text for self-study by practitioners and researchers. The authors assume only basic elementary mathematical experience, the text covers the foundational mathematics and computational complexity theory.

A Primer of Lebesgue Integration

Author : H. S. Bear
Publisher : Academic Press
ISBN 13 : 9780120839711
Total Pages : 184 pages
Book Rating : 4.8/5 (397 download)

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Book Synopsis A Primer of Lebesgue Integration by : H. S. Bear

Download or read book A Primer of Lebesgue Integration written by H. S. Bear and published by Academic Press. This book was released on 2002 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.

A Primer of Nonlinear Analysis

Author : Antonio Ambrosetti
Publisher : Cambridge University Press
ISBN 13 : 9780521485739
Total Pages : 184 pages
Book Rating : 4.4/5 (857 download)

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Book Synopsis A Primer of Nonlinear Analysis by : Antonio Ambrosetti

Download or read book A Primer of Nonlinear Analysis written by Antonio Ambrosetti and published by Cambridge University Press. This book was released on 1995-03-09 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.

A Primer on the Calculus of Variations and Optimal Control Theory

Author : Mike Mesterton-Gibbons
Publisher : American Mathematical Soc.
ISBN 13 : 0821847724
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Primer on the Calculus of Variations and Optimal Control Theory by : Mike Mesterton-Gibbons

Download or read book A Primer on the Calculus of Variations and Optimal Control Theory written by Mike Mesterton-Gibbons and published by American Mathematical Soc.. This book was released on 2009 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.

Mathematics for Algorithm and Systems Analysis

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486442500
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Mathematics for Algorithm and Systems Analysis by : Edward A. Bender

Download or read book Mathematics for Algorithm and Systems Analysis written by Edward A. Bender and published by Courier Corporation. This book was released on 2005-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete mathematics is fundamental to computer science, and this up-to-date text assists undergraduates in mastering the ideas and mathematical language to address problems that arise in the field's many applications. It consists of 4 units of study: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.

A Mathematical Primer for Social Statistics

Author : John Fox
Publisher : SAGE Publications
ISBN 13 : 1071833243
Total Pages : 199 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis A Mathematical Primer for Social Statistics by : John Fox

Download or read book A Mathematical Primer for Social Statistics written by John Fox and published by SAGE Publications. This book was released on 2021-01-11 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Primer for Social Statistics, Second Edition presents mathematics central to learning and understanding statistical methods beyond the introductory level: the basic "language" of matrices and linear algebra and its visual representation, vector geometry; differential and integral calculus; probability theory; common probability distributions; statistical estimation and inference, including likelihood-based and Bayesian methods. The volume concludes by applying mathematical concepts and operations to a familiar case, linear least-squares regression. The Second Edition pays more attention to visualization, including the elliptical geometry of quadratic forms and its application to statistics. It also covers some new topics, such as an introduction to Markov-Chain Monte Carlo methods, which are important in modern Bayesian statistics. A companion website includes materials that enable readers to use the R statistical computing environment to reproduce and explore computations and visualizations presented in the text. The book is an excellent companion to a "math camp" or a course designed to provide foundational mathematics needed to understand relatively advanced statistical methods.

A First Course in Real Analysis

Author : Murray H. Protter
Publisher : Springer Science & Business Media
ISBN 13 : 1441987444
Total Pages : 551 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A First Course in Real Analysis by : Murray H. Protter

Download or read book A First Course in Real Analysis written by Murray H. Protter and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

Integration and Modern Analysis

Author : John J. Benedetto
Publisher : Springer Science & Business Media
ISBN 13 : 0817646566
Total Pages : 589 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Integration and Modern Analysis by : John J. Benedetto

Download or read book Integration and Modern Analysis written by John J. Benedetto and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné–Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.

A Course in Calculus and Real Analysis

Author : Sudhir R. Ghorpade
Publisher : Springer Science & Business Media
ISBN 13 : 0387364250
Total Pages : 442 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis A Course in Calculus and Real Analysis by : Sudhir R. Ghorpade

Download or read book A Course in Calculus and Real Analysis written by Sudhir R. Ghorpade and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

A Quantum Groups Primer

Author : Shahn Majid
Publisher : Cambridge University Press
ISBN 13 : 0521010411
Total Pages : 183 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis A Quantum Groups Primer by : Shahn Majid

Download or read book A Quantum Groups Primer written by Shahn Majid and published by Cambridge University Press. This book was released on 2002-04-04 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.

Elementary Analysis

Author : Kenneth A. Ross
Publisher : Springer Science & Business Media
ISBN 13 : 1475739710
Total Pages : 380 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Elementary Analysis by : Kenneth A. Ross

Download or read book Elementary Analysis written by Kenneth A. Ross and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.