Discrete Mathematics by Kevin Ferland

Discrete Mathematics PDF Download Ebook. Kevin Ferland combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn.

Throughout the text, engaging anecdotes and topics of interest inform as well as motivate learners. The text is ideal for one- or two-semester courses and for students who are typically mathematics, mathematics education, or computer science majors. Part I teaches student how to write proofs; Part II focuses on computation and problem solving. The second half of the book may also be suitable for introductory courses in combinatorics and graph theory.

CL MATHSpace encompasses the interactive online products and services integrated with Houghton Mifflin mathematics programs. CL MATHSpace content--including PowerPoint slides and practice tests--can be accessed at any time through text-specific Student and Instructor Websites. Unique among similar texts, Part I features proofs as its central topic--taking the approach that basic set theory is the best area in which to first learn how to write proofs.

Extensive applications cover a broad range of topics and appeal to diverse student interests, while the depth and quantity of exercises meet instructor needs. Challenging problems are highlighted throughout the text to provide flexible assignment options. Hundreds of worked-out examples and highly appealing presentations capture and maintain student interest.

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Thinking Mathematically 5th Edition, Robert F. Blitzer

Thinking Mathematically 5th Edition PDF Download Ebook. Robert F. Blitzer continues to raise the bar with his engaging applications developed to motivate readers from diverse majors and backgrounds. This book draws from the author’s unique background in art, psychology, and math to present math in the context of real-world applications.

The author understands the needs of nervous readers and provides helpful tools in every chapter to help them master the material. Voice balloons are strategically placed throughout the book, showing what an instructor would say when leading a student through a problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice.

Students in this course are not math majors, and they may never take a subsequent math course, so they are often nervous about taking the class. Blitzer understands those students’ needs and provides helpful tools in every chapter to help them master the material. Voice balloons appear right when students need them, showing what an instructor would say when leading a student through the problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice.

The variety of topics and flexibility of sequence make this text appropriate for a one- or two-term course in liberal arts mathematics, quantitative reasoning, finite mathematics, mathematics for education majors, and courses specifically designed to meet state-mandated requirements in mathematics. Blitzer’s hallmark applications keep students motivated and pull from timely real-world events and data.

Chapter openers and section openers present compelling applications, helping students to realize that mathematics is everywhere. Each vignette poses a question and explores how the section’s subject can be applied to answer the question. These scenarios are then revisited in the chapter or section. Interesting applications from all disciplines, supported by up-to-date, real-world data, are included in every section. Students see how mathematics can be used to solve real problems.

The latest applications and real-world data are compiled from hundreds of books, magazines, newspapers, almanacs, and online sites. For the Fifth Edition, 265 worked-out examples and application exercises are based on new data. Exercises are organized into six categories for instructor flexibility: Practice Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, and Group Activity Exercises.

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Technical Analysis of Stock Trends 10th Edition, Edwards

Technical Analysis of Stock Trends 10th Edition PDF Download Ebook. Robert D. Edwards, John Magee and W.H.C. Bassetti still tower over the discipline of technical analysis like a mighty redwood. Originally published in 1948 and now in its Tenth Edition, this book remains the original and most important work on this topic.

The book contains more than dry chart patterns, it passes down accumulated experience and wisdom from Dow to Schabacker, to Edwards, and to Magee, and has been modernized by W.H.C. Bassetti. Bassetti, a client, friend, and student of John Magee, one of the original authors, has converted the material on the craft of manual charting with TEKNIPLAT chart paper to modern computer software methods. In actuality, none of Magee’s concepts have proven invalid and some of his work predated modern concepts such as beta and volatility.

In addition, Magee described a trend-following procedure that is so simple and so elegant that Bassetti has adapted it to enable the general investor to use it to replace the cranky Dow Theory. This procedure, called the Basing Points procedure, is extensively described in the new Tenth Edition along with new material on powerful moving average systems and Leverage Space Portfolio Model generously contributed by the formidable analyst, Ralph Vince., author of Handbook of Portfolio Mathematics.

So much has changed since the first edition, yet so much has remained the same. Everyone wants to know how to play the game. The foundational work of the discipline of technical analysis, this book gives you more than a technical formula for trading and investing, it gives you the knowledge and wisdom to craft long-term success.

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Matrix Groups for Undergraduates by Kristopher Tapp

Matrix Groups for Undergraduates PDF Download Ebook. Kristopher Tapp offers concrete and example-driven explanation with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intuition to describe basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori.

Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups.

The volume is suitable for graduate students and researchers interested in group theory. It is an excellent, well-written textbook which is strongly recommended to a wide audience of readers interested in mathematics and its applications. The book is suitable for a one-semester undergraduate lecture course in matrix groups, and would also be useful supplementary reading for more general group theory courses.

There is considerable emphasis throughout on examples. Since the classical examples of matrix groups dominate the theory anyway, the focus on examples really has no downside. Throughout the book the author is careful to treat the reals R, the complexes C, and the quaternions H as uniformly as possible. Thus he is able to introduce orthogonal groups O(n), unitary groups U(n), and symplectic groups Sp(n) in a parallel way. Theorem 9.31, appropriately stated without proof, forms a satisfying conclusion to the course. It tells readers that the three sequences they have been intensively studying, together with five exceptional groups they have not seen, form the building blocks of all compact matrix groups.

There is further emphasis on low dimensions and visibility. The first chapter explains in intuitive terms why the group SO(3) of rotations of a globe is three-dimensional. It previews the idea of maximal torus by explaining, "Rotating the globe around the axis through the North and South Pole provides a 'circle's worth' of elements of SO(3)." There are helpful pictures throughout the book. Even in the second-to-last chapter, the low-dimensional isomorphism from Sp(1) to SU(2) and the double cover from SU(2) to SO(3) play a prominent role.

There is review appropriate to the intended readers. Aspects of linear algebra over R and Care reviewed in the process of presenting new material corresponding to H. Chapters 4 and 7 are almost entirely devoted to background material, on point-set topology and manifolds respectively; in each case, everything takes place in ambient Euclidean spaces Rn. Even in the last chapter, a theme is that diagonalization theorems of linear algebra are being revisited.

Each chapter concludes with approximately 15 exercises. Some are theoretical, like 4.1 through 4.6, each of which has the form "Prove Proposition 4.x." Many reinforce theoretical topics by considering them in examples, such as Exercise 6.5 which asks students to describe all one-parameter subgroups of GL1(C) and draw some in the x-y plane. The many exercises would support a course where students regularly present material in class.

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Matrix Analysis 2nd Edition, Roger Horn and Johnson

Matrix Analysis 2nd Edition PDF Download Ebook. Roger A. Horn and Charles R. Johnson offer more than 1,100 problems and exercises, along with new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices, and much more.

Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition.

The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features. There are new sections on the singular value and CS decompositions with new applications of the Jordan canonical form, the Weyr canonical form, expanded treatments of inverse problems and of block matrices and central role for the Von Neumann trace theorem.

This book offers new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair. Expanded index has more than 3,500 entries for easy reference, 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid. A new appendix provides a collection of problem-solving hints.

It is the definitive source and indispensable reference for the foundations of matrix analysis. The material is comprehensive yet thoughtfully collected, and presented with insightful exposition and crystal-clear organization. This book is for anyone who comes in contact with matrices, be it applied scientist, casual user, or experienced researcher.

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Numerical Analysis 9th Edition, Richard Burden and Faires

Numerical Analysis 9th Edition PDF Download Ebook. Richard L. Burden and J. Douglas Faires offer introduction to the theory and application of modern numerical approximation techniques for students taking a one- or two-semester course in numerical analysis. With an accessible treatment that only requires a calculus prerequisite, Burden and Faires explain how, why, and when approximation techniques can be expected to work, and why, in some situations, they fail.

A wealth of examples and exercises develop students' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. The first book of its kind built from the ground up to serve a diverse undergraduate audience, three decades later Burden and Faires remains the definitive introduction to a vital and practical subject.

Balances theory and methods to stake a wide middle ground between audiences who need to know the mathematics and audiences who only need to know the essential techniques. Flexible coverage to suit one- or two-semester courses and differing student levels, with careful attention paid to marking optional material and alternate paths for instructors. Specific instructions are given for Maple in limited cases where software-specific questions are absolutely required.

Language and software neutral programs in book are supported on companion website by specific program code for Maple, Mathematica, MATLAB, C, FORTRAN, Java, and Pascal to cover all technologies the majority of the market will use. Author website includes mid-cycle updates and additions to this program code to keep up with new software releases.

Virtually every concept in the text is illustrated by example, and this edition contains more than 2000 class-tested exercises ranging from elementary applications of methods and algorithms to generalizations and extensions of the theory. The exercise sets include many applied problems from diverse areas of engineering, as well as from the physical, computer, biological, and social sciences.

The design of the text gives instructors flexibility in choosing topics they wish to cover, selecting the level of theoretical rigor desired, and deciding which applications are most appropriate or interesting for their classes. Theory coverage emphasizes mathematical thought and is especially accessible for students who've optionally taken undergrad math foundations courses like Real Analysis or Transition to Advanced Math.

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Real Analysis: Measure Theory, Integration and Hilbert Spaces

Real Analysis: Measure Theory, Integration, and Hilbert Spaces PDF Download Ebook. Elias M. Stein and Rami Shakarchi focus on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals.

This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science.

After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis.

The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises.

As with the other volumes in the series, this book is accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels. It is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis.

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Analysis of Financial Time Series 3rd Edition, Ruey S. Tsay

Analysis of Financial Time Series 3rd Edition PDF Download Ebook. Ruey S. Tsay provides a broad, mature, and systematic introduction to current financial econometric models and their applications to modeling and prediction of financial time series data. It utilizes real-world examples and real financial data throughout the book to apply the models and methods described.

The author begins with basic characteristics of financial time series data before covering three main topics: analysis and application of univariate financial time series, the return series of multiple assets and Bayesian inference in finance methods. Key features include additional coverage of modern day topics such as arbitrage, pair trading, realized volatility, and credit risk modeling; a smooth transition from S-Plus to R; and expanded empirical financial data sets.

This text utilizes the freely available R software package to explore empirical financial data and illustrate related computation and analyses using real-world examples. Retaining the fundamental and hands-on style of its predecessor, this new edition continues to serve as the cornerstone for understanding the important statistical methods and techniques for working with financial data.

The latest developments in financial econometrics are explored in-depth, such as realized volatility, volatility with skew innovations, conditional value at risk, statistical arbitrage, and applications of duration and dynamic-correlation models. The use of both R and S-PLUS software with the book's numerous examples and exercises ensures that readers can reproduce the results shown in the book and apply the detailed steps and procedures to their own work.

New and updated exercises throughout provide opportunities to test comprehension of the presented material, and a related Web site houses additional data sets and related software programs. The overall objective of the book is to provide some knowledge of financial time series, introduce some statistical tools useful for analyzing these series and gain experience in financial applications of various econometric methods.

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Elementary Analysis: The Theory of Calculus, Kenneth A. Ross

Elementary Analysis: The Theory of Calculus PDF Download Ebook. Kenneth A. Ross has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer’s opinion, has succeeded admirably.

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. This book occupies a niche between a calculus course and a full-blown real analysis course. I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis.

This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material.

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Introduction to Real Analysis 4th Edition, Bartle and Sherbert

Introduction to Real Analysis 4th Edition PDF Download Ebook. Robert G. Bartle and Donald R. Sherbert describe the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context.

Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.

Several new examples have been added to this edition to make the text more up-to-date and relevant. New exercises have been added throughout to give students more material to practice and solidify their understanding of the material. Coverage of the Darboux integral has been added in Section 7.4. This text offers detailed and rigorous treatment of the basic theory of functions of one real variable.

This book is accessible and user-friendly because concepts are developed in a reasonably paced manner with many examples to illustrate the theory. Every concept is illustrated by examples and special cases. There is also a wide range of exercises, and hints for some of them are provided in the back of the text. Approximation Methods and Numerical Calculation are emphasized whenever appropriate, making this text suitable for computer science students.

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Analysis with an Introduction to Proof 5th Edition,. Lay

Analysis with an Introduction to Proof 5th Edition PDF Download Ebook. Steven R. Lay helps fill in the groundwork students need to succeed in real analysis—often considered the most difficult course in the undergraduate curriculum. Some proofs have been simplified and there are several new examples and illustrations.

By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs. Clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers make this text readable, student-oriented, and teacher- friendly.

More than 100 practice problems throughout the text provide a simple problem for students to apply what they have just read. Answers are provided just prior to the exercises for reinforcement and for students to check their understanding. Exceptionally high-quality drawings illustrate key ideas.

Numerous examples and more than 1,000 exercises give the breadth and depth of practice that students need to learn and master the material. Fill-in-the-blank proofs guide students in the art of writing proofs. Glossary of Key Terms at the end of the book includes 180 key terms with the meaning and page number where each is introduced, providing an invaluable reference when studying, or for future courses.

Review of Key Terms after each section emphasizes the importance of definitions and language in mathematics and helps students organize their studying. The definition of a convergent sequence has been changed to include the more traditional requirement that the number limiting the indices should be a natural number (rather than a real number). This emphasizes the Archimedean property of the real number.

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Understanding Analysis by Stephen Abbott

Understanding Analysis PDF Download Ebook. Stephen Abbott exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The author has written an interesting book designed as a text for a one-semester course. He also expects the students to do their part by leaving to them (with copious hints) the details of many of the steps in the proofs.

This enables him to cover a surprising amount of material in an attractive and stimulating manner. Students who work their way through this text will have seen a lot of interesting analysis and have developed a good understanding of the material. Stephen Abbott appreciates that modern readers may be unfamiliar with axiomatic arguments. Thus, many courses in analysis have been made easier by making them less interesting.

The alternative is to make advanced topics accessible and focus on questions that give real analysis its value. Prerequisite knowledge has been kept to a minimum: an understanding of single variable calculus. The text is written with introductory students in mind and will certainly be persuasive in establishing the value of analysis.

The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions. The book is very clear, well presented, rigorous and should be recommended to undergraduate students as a good complement.

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