Advanced Mathematics Book 3

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Elements of Advanced Mathematics, Third Edition

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Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1439898340
Total Pages : 368 pages
Book Rating : 4.4/5 (398 download)

Book Synopsis Elements of Advanced Mathematics, Third Edition by : Steven G. Krantz

Download or read book Elements of Advanced Mathematics, Third Edition written by Steven G. Krantz and published by CRC Press. This book was released on 2012-03-19 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

Advanced Mathematics

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Author : Martin Perkins
Publisher :
ISBN 13 : 9780713512724
Total Pages : 580 pages
Book Rating : 4.5/5 (127 download)

Book Synopsis Advanced Mathematics by : Martin Perkins

Download or read book Advanced Mathematics written by Martin Perkins and published by . This book was released on 1982 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Mathematics for Engineers and Scientists

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Author : Paul DuChateau
Publisher : Courier Corporation
ISBN 13 : 0486141594
Total Pages : 401 pages
Book Rating : 4.4/5 (861 download)

Book Synopsis Advanced Mathematics for Engineers and Scientists by : Paul DuChateau

Download or read book Advanced Mathematics for Engineers and Scientists written by Paul DuChateau and published by Courier Corporation. This book was released on 2013-01-17 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to the worked-out problems, numerous examples and exercises appear throughout the text.

Advanced Mathematics

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Author : John H. Saxon
Publisher :
ISBN 13 : 9780939798377
Total Pages : 0 pages
Book Rating : 4.7/5 (983 download)

Book Synopsis Advanced Mathematics by : John H. Saxon

Download or read book Advanced Mathematics written by John H. Saxon and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Mathematics

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Author : C. W. Celia
Publisher : Palgrave
ISBN 13 : 9780333348277
Total Pages : 545 pages
Book Rating : 4.3/5 (482 download)

Book Synopsis Advanced Mathematics by : C. W. Celia

Download or read book Advanced Mathematics written by C. W. Celia and published by Palgrave. This book was released on 1985 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Mathematics

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Author : Stanley J. Farlow
Publisher : John Wiley & Sons
ISBN 13 : 1119563534
Total Pages : 556 pages
Book Rating : 4.1/5 (195 download)

Book Synopsis Advanced Mathematics by : Stanley J. Farlow

Download or read book Advanced Mathematics written by Stanley J. Farlow and published by John Wiley & Sons. This book was released on 2019-10-02 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a “crash course” in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated” advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.

Mathematical Proofs

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Author : Gary Chartrand
Publisher : Pearson
ISBN 13 : 9780321797094
Total Pages : 0 pages
Book Rating : 4.7/5 (97 download)

Book Synopsis Mathematical Proofs by : Gary Chartrand

Download or read book Mathematical Proofs written by Gary Chartrand and published by Pearson. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.

Fundamentals of Advanced Mathematics V3

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Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081023863
Total Pages : 424 pages
Book Rating : 4.0/5 (81 download)

Book Synopsis Fundamentals of Advanced Mathematics V3 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics V3 written by Henri Bourles and published by Elsevier. This book was released on 2019-10-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems Provides theory as well as practical information

Advanced Mathematics: Book 3

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Author : School Mathematics Project
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (67 download)

Book Synopsis Advanced Mathematics: Book 3 by : School Mathematics Project

Download or read book Advanced Mathematics: Book 3 written by School Mathematics Project and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Transition to Advanced Mathematics

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Author : Douglas Smith
Publisher : Cengage Learning
ISBN 13 : 9780495562023
Total Pages : 416 pages
Book Rating : 4.5/5 (62 download)

Book Synopsis A Transition to Advanced Mathematics by : Douglas Smith

Download or read book A Transition to Advanced Mathematics written by Douglas Smith and published by Cengage Learning. This book was released on 2010-06-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

A Discrete Transition to Advanced Mathematics

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Author : Bettina Richmond
Publisher : American Mathematical Soc.
ISBN 13 : 0821847899
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis A Discrete Transition to Advanced Mathematics by : Bettina Richmond

Download or read book A Discrete Transition to Advanced Mathematics written by Bettina Richmond and published by American Mathematical Soc.. This book was released on 2009 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last three chapters address topics such as continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio, and may be used for independent reading assignments. The treatment of sequences may be used to introduce epsilon-delta proofs. The selection of topics provides flexibility for the instructor in a course designed to spark the interest of students through exciting material while preparing them for subsequent proof-based courses.

Advanced Calculus (Revised Edition)

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Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

A Transition to Advanced Mathematics

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Author : William Johnston
Publisher : Oxford University Press
ISBN 13 : 0199718660
Total Pages : 766 pages
Book Rating : 4.1/5 (997 download)

Book Synopsis A Transition to Advanced Mathematics by : William Johnston

Download or read book A Transition to Advanced Mathematics written by William Johnston and published by Oxford University Press. This book was released on 2009-07-27 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Transition to Advanced Mathematics: A Survey Course promotes the goals of a "bridge'' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics, including Logic, Abstract Algebra, Number Theory, Real Analysis, Statistics, Graph Theory, and Complex Analysis. The main objective is "to bring about a deep change in the mathematical character of students -- how they think and their fundamental perspectives on the world of mathematics." This text promotes three major mathematical traits in a meaningful, transformative way: to develop an ability to communicate with precise language, to use mathematically sound reasoning, and to ask probing questions about mathematics. In short, we hope that working through A Transition to Advanced Mathematics encourages students to become mathematicians in the fullest sense of the word. A Transition to Advanced Mathematics has a number of distinctive features that enable this transformational experience. Embedded Questions and Reading Questions illustrate and explain fundamental concepts, allowing students to test their understanding of ideas independent of the exercise sets. The text has extensive, diverse Exercises Sets; with an average of 70 exercises at the end of section, as well as almost 3,000 distinct exercises. In addition, every chapter includes a section that explores an application of the theoretical ideas being studied. We have also interwoven embedded reflections on the history, culture, and philosophy of mathematics throughout the text.

Modern Advanced Mathematics for Engineers

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Author : Vladimir Vasilʹevich Mitin
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (97 download)

Book Synopsis Modern Advanced Mathematics for Engineers by : Vladimir Vasilʹevich Mitin

Download or read book Modern Advanced Mathematics for Engineers written by Vladimir Vasilʹevich Mitin and published by Wiley-Interscience. This book was released on 2001-04-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A convenient single source for vital mathematical concepts, writtenby engineers and for engineers. Builds a strong foundation in modern applied mathematics forengineering students, and offers them a concise and comprehensivetreatment that summarizes and unifies their mathematical knowledgeusing a system focused on basic concepts rather than exhaustivetheorems and proofs. The authors provide several levels of explanation and exercisesinvolving increasing degrees of mathematical difficulty to recalland develop basic topics such as calculus, determinants, Gaussianelimination, differential equations, and functions of a complexvariable. They include an assortment of examples ranging fromsimple illustrations to highly involved problems as well as anumber of applications that demonstrate the concepts and methodsdiscussed throughout the book. This broad treatment also offers:*Key mathematical tools needed by engineers working incommunications, semiconductor device simulation, and control theory* Concise coverage of fundamental concepts such as sets, mappings,and linearity * Thorough discussion of topics such as distance,inner product, and orthogonality * Essentials of operatorequations, theory of approximations, transform methods, and partialdifferential equationsIt makes an excellent companion to lessgeneral engineering texts and a useful reference for practitioners.

Tools of the Trade

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Author : Paul J. Sally (Jr.)
Publisher : American Mathematical Soc.
ISBN 13 : 0821846345
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Tools of the Trade by : Paul J. Sally (Jr.)

Download or read book Tools of the Trade written by Paul J. Sally (Jr.) and published by American Mathematical Soc.. This book was released on 2008 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics." "Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such as group theory, convergence of infinite series, decimal expansions of real numbers, point set topology and topological groups. They are carefully designed to guide the student through the subject matter. Together with numerous exercises included in the book, these projects may be used as part of the regular classroom presentation, as self-study projects for students, or for Inquiry Based Learning activities presented by the students."--BOOK JACKET.

Pure Mathematics 1 (International)

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Author : Hugh Neill
Publisher : Cambridge University Press
ISBN 13 : 9780521530118
Total Pages : 319 pages
Book Rating : 4.5/5 (31 download)

Book Synopsis Pure Mathematics 1 (International) by : Hugh Neill

Download or read book Pure Mathematics 1 (International) written by Hugh Neill and published by Cambridge University Press. This book was released on 2002-09-19 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to match the contents of the Cambridge syllabus. Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

Florida Go Math

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Author : Edward B. Burger
Publisher :
ISBN 13 : 9780544200609
Total Pages : pages
Book Rating : 4.2/5 (6 download)

Book Synopsis Florida Go Math by : Edward B. Burger

Download or read book Florida Go Math written by Edward B. Burger and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: