Fundamentals Of Advanced Mathematics V3

Author : Henri Bourles
Publisher : Elsevier
Page : 424 pages
File Size : 51,5 Mb
Release : 2019-10-11
Category : Mathematics
ISBN : 9780081023860

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Fundamentals of Advanced Mathematics V3 by Henri Bourles Pdf

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

Author : Miansen Wang,Fred Brauer
Publisher : Unknown
Page : 390 pages
File Size : 47,7 Mb
Release : 2005
Category : Mathematics
ISBN : 7040154846

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Fundamentals of Advanced Mathematics by Miansen Wang,Fred Brauer Pdf

Author : William E. Kline,Robert A. Oesterle,Leroy M. Willson
Publisher : Unknown
Page : 583 pages
File Size : 43,8 Mb
Release : 1975
Category : Mathematics
ISBN : 0278469191

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Foundations of Advanced Mathematics by William E. Kline,Robert A. Oesterle,Leroy M. Willson Pdf

Author : Carol Avelsgaard
Publisher : Scott Foresman & Company
Page : 325 pages
File Size : 45,7 Mb
Release : 1990
Category : Mathematics
ISBN : 0673381528

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Foundations for Advanced Mathematics by Carol Avelsgaard Pdf

Author : Alberto D. Yazon
Publisher : Arcler Press
Page : 0 pages
File Size : 53,9 Mb
Release : 2019-11
Category : Mathematics
ISBN : 1773614045

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Fundamentals of Advanced Mathematics by Alberto D. Yazon Pdf

Fundamentals of Advanced Mathematics explains the basic fundamentals of mathematics by introducing it to the readers. It further goes on to explain algebra and the basic math related to it and elaborate on the number theory and number system. Also discussed in the book are the relations and functions, the use of proportional logic, the graph theory and the mathematical induction and recursion and the various theorems and logics related to it. The book also delves upon the cardinal system. It gives some solved examples and the questions to be practiced in the later halves of the chapters.

Author : Steven G. Krantz
Publisher : CRC Press
Page : 368 pages
File Size : 41,7 Mb
Release : 2012-03-19
Category : Mathematics
ISBN : 9781439898345

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Elements of Advanced Mathematics, Third Edition by Steven G. Krantz Pdf

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.

Author : Ann Xavier,Howard Brenner Gantert
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 1993-06-30
Category : Mathematics
ISBN : 0877202842

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Foundations for Advanced Mathematics by Ann Xavier,Howard Brenner Gantert Pdf

Author : Abraham M. Glicksman,Harry D. Ruderman
Publisher : Unknown
Page : 672 pages
File Size : 42,7 Mb
Release : 1964
Category : Mathematics
ISBN : UOM:39015017286165

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Fundamentals for Advanced Mathematics by Abraham M. Glicksman,Harry D. Ruderman Pdf

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 47,7 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

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.

Author : Stella Fletcher,Patty
Publisher : Unknown
Page : 128 pages
File Size : 50,7 Mb
Release : 1992
Category : Electronic
ISBN : 0534930557

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Foundations of Higher Mathematics by Stella Fletcher,Patty Pdf

Author : Edward Saff,Arthur Snider
Publisher : Pearson
Page : 0 pages
File Size : 40,9 Mb
Release : 2017-02-13
Category : Functions of complex variables
ISBN : 0134689488

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Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) by Edward Saff,Arthur Snider Pdf

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

Author : Steven G. Krantz
Publisher : CRC Press
Page : 390 pages
File Size : 49,9 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 9781351378314

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The Elements of Advanced Mathematics by Steven G. Krantz Pdf

The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs of instructors, the text is aligned directly with course requirements. The author connects computationally and theoretically based mathematics, helping students develop a foundation for higher level mathematics. To make the book more pertinent, the author removed obscure topics and included a chapter on elementary number theory. Students gain the momentum to further explore mathematics in the real world through an introduction to cryptography. These additions, along with new exercises and proof techniques, will provide readers with a strong and relevant command of mathematics. Presents a concise presentation of the material Covers logic, sets and moves to more advanced topics including topology Provides greater coverage of number theory and cryptography Streamlined to focus on the core of this course

Author : National Center on Education & The Economy
Publisher : Unknown
Page : 128 pages
File Size : 40,7 Mb
Release : 2003
Category : Electronic
ISBN : 1932230408

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Linear Functions and Equations Student by National Center on Education & The Economy Pdf

Author : Neil R. Nicholson
Publisher : CRC Press
Page : 465 pages
File Size : 48,8 Mb
Release : 2019-03-21
Category : Mathematics
ISBN : 9780429522000

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A Transition to Proof by Neil R. Nicholson Pdf

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: The text is aimed at transition courses preparing students to take analysis Promotes creativity, intuition, and accuracy in exposition The language of proof is established in the first two chapters, which cover logic and set theory Includes chapters on cardinality and introductory topology

Author : Mike Daven,Lee Fothergill
Publisher : Createspace Independent Pub
Page : 88 pages
File Size : 53,9 Mb
Release : 2011-08-01
Category : Mathematics
ISBN : 1456398733

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Fundamentals of Mathematical Reasoning by Mike Daven,Lee Fothergill Pdf

The book provides a transition to advanced mathematics. This is a complete workbook including all supporting content and explanation. Additional resources (PowerPoint, sample assignments) are available to instructors.