Solutions of the Examples in Higher Algebra (LaTeX Enlarged Edition)

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781977861788
Total Pages : 298 pages
Book Rating : 4.8/5 (617 download)

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Book Synopsis Solutions of the Examples in Higher Algebra (LaTeX Enlarged Edition) by : S. Knight

Download or read book Solutions of the Examples in Higher Algebra (LaTeX Enlarged Edition) written by S. Knight and published by Createspace Independent Publishing Platform. This book was released on 2017-10-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work forms a Key or Companion to the Higher Algebra, and contains full solutions of nearly all the Examples. In many cases more than one solution is given, while throughout the book frequent reference is made to the text and illustrative Examples in the Algebra. The work has been undertaken at the request of many teachers who have introduced the Algebra into their classes, and for such readers it is mainly intended; but it is hoped that, if judiciously used, the solutions may also be found serviceable by that large and increasing class of students who read Mathematics without the assistance of a teacher. In this edition, the entire manuscript was typeset in a bigger size font [10 pt : `DejaVu Serif'] (honoring readers' suggestions) using the LaTeX document processing system originally developed by Leslie Lamport, based on TeX typesetting system created by Donald Knuth. The typesetting software used the XeLaTeX distribution. We are grateful for this opportunity to put the materials into a consistent format, and to correct errors in the original publication that have come to our attention. Most of the hard work of preparing this edition was accomplished by Neeru Singh, who expertly keyboarded and edited the text of the original manuscript. She helped us put hundreds of pages of typographically difficult material into a consistent digital format. The process of compiling this book has given us an incentive to improve the layout, to doublecheck almost all of the mathematical rendering, to correct all known errors, to improve the original illustrations by redrawing them with Till Tantau's marvelous TikZ. Thus the book now appears in a form that we hope will remain useful for at least another generation. Table of Contents EXAMPLES I : Ratio EXAMPLES II : Proportion EXAMPLES III : Variation EXAMPLES IV : Arithmetical Progression EXAMPLES V : Geometrical Progression EXAMPLES VI : Harmonical Progression EXAMPLES VII : Scales of Notation EXAMPLES VIII : Surds and Imaginary Quantities EXAMPLES IX : The Theory of Quadratic EXAMPLES X : Miscellaneous Equations EXAMPLES XI : Permutations and Combinations EXAMPLES XIII : Binomial Theorem Positive Integral Index EXAMPLES XIV : Binomial Theorem. Any Index EXAMPLES XV : Multinomial Theorem EXAMPLES XVI : Logarithms EXAMPLES XVII : Exponential and Logarithmic Series EXAMPLES XVIII : Interest and Annuities EXAMPLES XIX : Inequalities EXAMPLES XX : Limiting Values and Vanishing Fractions EXAMPLES XXI : Convergency and Divergency of Series EXAMPLES XXII : Undetermined Coefficients EXAMPLES XXIII : Partial Fractions EXAMPLES XXIV : Recurring Series EXAMPLES XXV : Continued Fractions EXAMPLES XXVI : Indeterminate Equations of the First Degree EXAMPLES XXVII : Recurring Continued Fractions EXAMPLES XXVIII : Indeterminate Equations of the Second Degree EXAMPLES XXIX : Summation of Series EXAMPLES XXX : Theory of Numbers EXAMPLES XXXI : The General Theory of Continued Fractions EXAMPLES XXXII : Probability EXAMPLES XXXIII : Determinants EXAMPLES XXXIV : Miscellaneous Theorems and Examples EXAMPLES XXXV : Theory of Equations MISCELLANEOUS EXAMPLES

Solutions of the Examples in Higher Algebra

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Author :
Publisher : Ancient Science Publishers
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4./5 ( download)

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Book Synopsis Solutions of the Examples in Higher Algebra by : H. S. Hall

Download or read book Solutions of the Examples in Higher Algebra written by H. S. Hall and published by Ancient Science Publishers. This book was released on 2018-09-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work forms a Key or Companion to the Higher Algebra, and contains full solutions of nearly all the Examples. In many cases more than one solution is given, while throughout the book frequent reference is made to the text and illustrative Examples in the Algebra. The work has been undertaken at the request of many teachers who have introduced the Algebra into their classes, and for such readers it is mainly intended; but it is hoped that, if judiciously used, the solutions may also be found serviceable by that large and increasing class of students who read Mathematics without the assistance of a teacher. In this edition, the entire manuscript was typeset in a bigger size font [10 pt : `DejaVu Serif'] (honoring readers' suggestions) using the LaTeX document processing system originally developed by Leslie Lamport, based on TeX typesetting system created by Donald Knuth. The typesetting software used the XeLaTeX distribution. We are grateful for this opportunity to put the materials into a consistent format, and to correct errors in the original publication that have come to our attention. Most of the hard work of preparing this edition was accomplished by Neeru Singh, who expertly keyboarded and edited the text of the original manuscript. She helped us put hundreds of pages of typographically difficult material into a consistent digital format. The process of compiling this book has given us an incentive to improve the layout, to doublecheck almost all of the mathematical rendering, to correct all known errors, to improve the original illustrations by redrawing them with Till Tantau's marvelous TikZ. Thus the book now appears in a form that we hope will remain useful for at least another generation. Table of Contents EXAMPLES I : Ratio EXAMPLES II : Proportion EXAMPLES III : Variation EXAMPLES IV : Arithmetical Progression EXAMPLES V : Geometrical Progression EXAMPLES VI : Harmonical Progression EXAMPLES VII : Scales of Notation EXAMPLES VIII : Surds and Imaginary Quantities EXAMPLES IX : The Theory of Quadratic EXAMPLES X : Miscellaneous Equations EXAMPLES XI : Permutations and Combinations EXAMPLES XIII : Binomial Theorem Positive Integral Index EXAMPLES XIV : Binomial Theorem. Any Index EXAMPLES XV : Multinomial Theorem EXAMPLES XVI : Logarithms EXAMPLES XVII : Exponential and Logarithmic Series EXAMPLES XVIII : Interest and Annuities EXAMPLES XIX : Inequalities EXAMPLES XX : Limiting Values and Vanishing Fractions EXAMPLES XXI : Convergency and Divergency of Series EXAMPLES XXII : Undetermined Coefficients EXAMPLES XXIII : Partial Fractions EXAMPLES XXIV : Recurring Series EXAMPLES XXV : Continued Fractions EXAMPLES XXVI : Indeterminate Equations of the First Degree EXAMPLES XXVII : Recurring Continued Fractions EXAMPLES XXVIII : Indeterminate Equations of the Second Degree EXAMPLES XXIX : Summation of Series EXAMPLES XXX : Theory of Numbers EXAMPLES XXXI : The General Theory of Continued Fractions EXAMPLES XXXII : Probability EXAMPLES XXXIII : Determinants EXAMPLES XXXIV : Miscellaneous Theorems and Examples EXAMPLES XXXV : Theory of Equations MISCELLANEOUS EXAMPLES

Solutions of the Examples in Higher Algebra

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (457 download)

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Book Synopsis Solutions of the Examples in Higher Algebra by : Henry Sinclair Hall

Download or read book Solutions of the Examples in Higher Algebra written by Henry Sinclair Hall and published by . This book was released on 1894 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solutions

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Solutions by : Hall

Download or read book Solutions written by Hall and published by . This book was released on 1889 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solutions of the Examples in Higher Algebra

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Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.:/5 (637 download)

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Book Synopsis Solutions of the Examples in Higher Algebra by : H. S. Hall

Download or read book Solutions of the Examples in Higher Algebra written by H. S. Hall and published by . This book was released on 1926 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645292
Total Pages : 762 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Basic Algebra by : Anthony W. Knapp

Download or read book Basic Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.

Guide to LaTeX

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Publisher : Pearson Education
ISBN 13 : 0321617746
Total Pages : 831 pages
Book Rating : 4.3/5 (216 download)

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Book Synopsis Guide to LaTeX by : Helmut Kopka

Download or read book Guide to LaTeX written by Helmut Kopka and published by Pearson Education. This book was released on 2003-11-25 with total page 831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published Nov 25, 2003 by Addison-Wesley Professional. Part of the Tools and Techniques for Computer Typesetting series. The series editor may be contacted at [email protected]. LaTeX is the text-preparation system of choice for scientists and academics, and is especially useful for typesetting technical materials. This popular book shows you how to begin using LaTeX to create high-quality documents. The book also serves as a handy reference for all LaTeX users. In this completely revised edition, the authors cover the LaTeX2ε standard and offer more details, examples, exercises, tips, and tricks. They go beyond the core installation to describe the key contributed packages that have become essential to LaTeX processing. Inside, you will find: Complete coverage of LaTeX fundamentals, including how to input text, symbols, and mathematics; how to produce lists and tables; how to include graphics and color; and how to organize and customize documents Discussion of more advanced concepts such as bibliographical databases and BIBTeX, math extensions with AMS-LaTeX, drawing, slides, and letters Helpful appendices on installation, error messages, creating packages, using LaTeX with HTML and XML, and fonts An extensive alphabetized listing of commands and their uses New to this edition: More emphasis on LaTeX as a markup language that separates content and form--consistent with the essence of XML Detailed discussions of contributed packages alongside relevant standard topics In-depth information on PDF output, including extensive coverage of how to use the hyperref package to create links, bookmarks, and active buttons As did the three best-selling editions that preceded it, Guide to LaTeX, Fourth Edition, will prove indispensable to anyone wishing to gain the benefits of LaTeX. The accompanying CD-ROM is part of the TeX Live set distributed by TeX Users Groups, containing a full LaTeX installation for Windows, MacOSX, and Linux, as well as many extensions, including those discussed in the book. 0321173856B10162003

More Math Into LaTeX

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Publisher : Springer Science & Business Media
ISBN 13 : 0387688528
Total Pages : 629 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis More Math Into LaTeX by : George Grätzer

Download or read book More Math Into LaTeX written by George Grätzer and published by Springer Science & Business Media. This book was released on 2007-07-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth edition of the standard introductory text and complete reference for scientists in all disciplines, as well as engineers. This fully revised version includes important updates on articles and books as well as information on a crucial new topic: how to create transparencies and computer projections, both for classrooms and professional meetings. The text maintains its user-friendly, example-based, visual approach, gently easing readers into the secrets of Latex with The Short Course. Then it introduces basic ideas through sample articles and documents. It includes a visual guide and detailed exposition of multiline math formulas, and even provides instructions on preparing books for publishers.

Feedback Systems

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Publisher : Princeton University Press
ISBN 13 : 069121347X
Total Pages : pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Feedback Systems by : Karl Johan Åström

Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Introduction to Linear Algebra with Applications

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Publisher : Waveland Press
ISBN 13 : 1478628820
Total Pages : 508 pages
Book Rating : 4.4/5 (786 download)

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Book Synopsis Introduction to Linear Algebra with Applications by : Jim DeFranza

Download or read book Introduction to Linear Algebra with Applications written by Jim DeFranza and published by Waveland Press. This book was released on 2015-01-23 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades, linear algebra has become more relevant than ever. Applications have increased not only in quantity but also in diversity, with linear systems being used to solve problems in chemistry, engineering, economics, nutrition, urban planning, and more. DeFranza and Gagliardi introduce students to the topic in a clear, engaging, and easy-to-follow manner. Topics are developed fully before moving on to the next through a series of natural connections. The result is a solid introduction to linear algebra for undergraduates’ first course.

An Invitation to Abstract Mathematics

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Publisher : Springer Nature
ISBN 13 : 3030561747
Total Pages : 443 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis An Invitation to Abstract Mathematics by : Béla Bajnok

Download or read book An Invitation to Abstract Mathematics written by Béla Bajnok and published by Springer Nature. This book was released on 2020-10-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise. This second edition has been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts. From reviews of the first edition: Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. ... The book can be used as a text for traditional transition or structure courses ... but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge. Jill Dietz, MAA Reviews The style of writing is careful, but joyously enthusiastic.... The author’s clear attitude is that mathematics consists of problem solving, and that writing a proof falls into this category. Students of mathematics are, therefore, engaged in problem solving, and should be given problems to solve, rather than problems to imitate. The author attributes this approach to his Hungarian background ... and encourages students to embrace the challenge in the same way an athlete engages in vigorous practice. John Perry, zbMATH

Higher Topos Theory (AM-170)

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Publisher : Princeton University Press
ISBN 13 : 1400830559
Total Pages : 944 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Higher Topos Theory (AM-170) by : Jacob Lurie

Download or read book Higher Topos Theory (AM-170) written by Jacob Lurie and published by Princeton University Press. This book was released on 2009-07-06 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics. The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. Many of the fundamental ideas from classical category theory are generalized to the infinity-categorical setting, such as limits and colimits, adjoint functors, ind-objects and pro-objects, locally accessible and presentable categories, Grothendieck fibrations, presheaves, and Yoneda's lemma. A sixth chapter presents an infinity-categorical version of the theory of Grothendieck topoi, introducing the notion of an infinity-topos, an infinity-category that resembles the infinity-category of topological spaces in the sense that it satisfies certain axioms that codify some of the basic principles of algebraic topology. A seventh and final chapter presents applications that illustrate connections between the theory of higher topoi and ideas from classical topology.

Basic Real Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644415
Total Pages : 671 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Basic Real Analysis by : Anthony W. Knapp

Download or read book Basic Real Analysis written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-04 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Intelligent Mathematical Software Systems

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Publisher : Elsevier
ISBN 13 : 0444599231
Total Pages : 378 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Intelligent Mathematical Software Systems by : E.N. Houstis

Download or read book Intelligent Mathematical Software Systems written by E.N. Houstis and published by Elsevier. This book was released on 1990-07-03 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the well-known mathematical software systems are batch oriented, though in the past few years there have been attempts to incorporate ``knowledge'' or ``expertise'' into these systems. A number of developments have helped in making the systems more powerful and user-friendly: algorithm/parameter selection for the solution of well-defined mathematical engineering problems; parallel computing; computer graphics technology; interface development tools; and of course the years of experience with these systems and the increase in available computing power have made it practical to fulfill the potential seen in the early years of their development. This book covers four main areas of the subject: Application Oriented Expert Systems, Advisory Systems, Knowledge Manipulation Issues, and User Interfaces.

Analytic Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 1139477161
Total Pages : 825 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analytic Combinatorics by : Philippe Flajolet

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Category Theory in Context

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Publisher : Courier Dover Publications
ISBN 13 : 0486820807
Total Pages : 272 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Category Theory in Context by : Emily Riehl

Download or read book Category Theory in Context written by Emily Riehl and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

Problem Book in Quantum Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540770143
Total Pages : 242 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Problem Book in Quantum Field Theory by : Voja Radovanovic

Download or read book Problem Book in Quantum Field Theory written by Voja Radovanovic and published by Springer Science & Business Media. This book was released on 2008-01-24 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner. The material covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers.