Sharpening Mathematical Analysis Skills

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Author :
Publisher : Springer Nature
ISBN 13 : 3030771393
Total Pages : 543 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Sharpening Mathematical Analysis Skills by : Alina Sîntămărian

Download or read book Sharpening Mathematical Analysis Skills written by Alina Sîntămărian and published by Springer Nature. This book was released on 2021-10-25 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research. The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methods for proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will find solutions to the proposed exercises. Undergraduate students in mathematics, physics and engineering, seeking to strengthen their skills in analysis, will most benefit from this work, along with instructors involved in math contests, individuals who want to enrich and test their knowledge in analysis, and anyone willing to explore the standard topics of mathematical analysis in ways that aren’t commonly seen in regular textbooks.

Improper Riemann Integrals

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Publisher : CRC Press
ISBN 13 : 1000958159
Total Pages : 863 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Improper Riemann Integrals by : Ioannis Markos Roussos

Download or read book Improper Riemann Integrals written by Ioannis Markos Roussos and published by CRC Press. This book was released on 2023-09-27 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of this book is the improper or generalized Riemann integral and infinite sum (series). The reader will study its convergence, principal value, evaluation and application to science and engineering. Improper Riemann integrals and infinite sums are interconnected. In the new edition, the author has involved infinite sums more than he did in the first edition. Apart from having computed and listed a large number of improper integrals and infinite sums, we have also developed the necessary theory and various ways of evaluating them or proving their divergence. Questions, problems and applications involving various improper integrals and infinite sums (series) of numbers emerge in science and application very often. Their complete presentations and all rigorous proofs would require taking the graduate-level courses on these subjects. Here their statements are adjusted to a level students of all levels can understand and use them efficiently as powerful tools in a large list of problems and applications.

Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond

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Author :
Publisher : World Scientific
ISBN 13 : 9811273960
Total Pages : 338 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond by : Alfred S Posamentier

Download or read book Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond written by Alfred S Posamentier and published by World Scientific. This book was released on 2024-01-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.

A First Course in Mathematical Modeling

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Publisher : Cengage Learning
ISBN 13 : 9780495011590
Total Pages : 640 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis A First Course in Mathematical Modeling by : Frank R. Giordano

Download or read book A First Course in Mathematical Modeling written by Frank R. Giordano and published by Cengage Learning. This book was released on 2008-07-03 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students' problem-solving capabilities -- whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible -- beginning with short projects -- the book facilitates their progressive development and confidence in mathematics and modeling. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Square Matrices of Order 2

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Author :
Publisher : Springer
ISBN 13 : 3319549391
Total Pages : 370 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Square Matrices of Order 2 by : Vasile Pop

Download or read book Square Matrices of Order 2 written by Vasile Pop and published by Springer. This book was released on 2017-04-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. They will follow every notion of matrix theory with ease, accumulating a thorough understanding of algebraic and geometric aspects of matrices of order 2. The prime jewel of this book is its offering of an unusual collection of problems, theoretically motivated, most of which are new, original, and seeing the light of publication for the first time in the literature. Nearly all of the exercises are presented with detailed solutions and vary in difficulty from easy to more advanced. Many problems are particularly challenging. These, and not only these, invite the reader to unleash their creativity and research capabilities and to discover their own methods of attacking a problem. Matrices have a vast practical importance to mathematics, science, and engineering; therefore the readership of this book is intended to be broad: high school students wishing to learn the fundamentals of matrix theory, first year students who like to participate in mathematical competitions, graduate students who want to learn more about an application of a certain technique, doctoral students who are preparing for their prelim exams in linear algebra, and linear algebra instructors. Chapters 1–3 complement a standard linear algebra course. Pure and applied mathematicians who use matrix theory for their applications will find this book useful as a refresher. In fact, anyone who is willing to explore the methodologies discussed in this book and work through a collection of problems involving matrices of order 2 will be enriched.

An Introduction to Quantitative Finance

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814704326
Total Pages : 272 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis An Introduction to Quantitative Finance by : Christopher Hian Ann Ting

Download or read book An Introduction to Quantitative Finance written by Christopher Hian Ann Ting and published by World Scientific Publishing Company. This book was released on 2015-09-16 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook provides a unique framework to introduce Quantitative Finance to advanced undergraduate and beginning postgraduate students. Inspired by Newton's three laws of motion, three principles of Quantitative Finance are proposed to help practitioners also to understand the pricing of plain vanilla derivatives and fixed income securities. The book provides a refreshing perspective on Box's thesis that "all models are wrong, but some are useful." Being practice- and market-oriented, the author focuses on financial derivatives that matter most to practitioners. The three principles of Quantitative Finance serve as buoys for navigating the treacherous waters of hypotheses, models, and gaps between theory and practice. The author shows that a risk-based parsimonious model for modeling the shape of the yield curve, the arbitrage-free properties of options, the Black-Scholes and binomial pricing models, even the capital asset pricing model and the Modigliani-Miller propositions can be obtained systematically by applying the normative principles of Quantitative Finance.

Techniques of mathematical analysis

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Author :
Publisher :
ISBN 13 : 9780708200230
Total Pages : 396 pages
Book Rating : 4.2/5 (2 download)

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Book Synopsis Techniques of mathematical analysis by : Clement John Tranter

Download or read book Techniques of mathematical analysis written by Clement John Tranter and published by . This book was released on 1974 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recurrent Sequences

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Publisher : Springer Nature
ISBN 13 : 3030515028
Total Pages : 410 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Recurrent Sequences by : Dorin Andrica

Download or read book Recurrent Sequences written by Dorin Andrica and published by Springer Nature. This book was released on 2020-09-23 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics. It is designed to appeal to a wide readership, ranging from scholars and academics, to undergraduate students, or advanced high school and college students training for competitions. The content of the book is very recent, and focuses on areas where significant research is currently taking place. Among the new approaches promoted in this book, the authors highlight the visualization of some recurrences in the complex plane, the concurrent use of algebraic, arithmetic, and trigonometric perspectives on classical number sequences, and links to many applications. It contains techniques which are fundamental in other areas of math and encourages further research on the topic. The introductory chapters only require good understanding of college algebra, complex numbers, analysis and basic combinatorics. For Chapters 3, 4 and 6 the prerequisites include number theory, linear algebra and complex analysis. The first part of the book presents key theoretical elements required for a good understanding of the topic. The exposition moves on to to fundamental results and key examples of recurrences and their properties. The geometry of linear recurrences in the complex plane is presented in detail through numerous diagrams, which lead to often unexpected connections to combinatorics, number theory, integer sequences, and random number generation. The second part of the book presents a collection of 123 problems with full solutions, illustrating the wide range of topics where recurrent sequences can be found. This material is ideal for consolidating the theoretical knowledge and for preparing students for Olympiads.

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

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Publisher : Princeton University Press
ISBN 13 : 1400843030
Total Pages : 302 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics by : Robert B. Banks

Download or read book Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics written by Robert B. Banks and published by Princeton University Press. This book was released on 2012-05-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever daydreamed about digging a hole to the other side of the world? Robert Banks not only entertains such ideas but, better yet, he supplies the mathematical know-how to turn fantasies into problem-solving adventures. In this sequel to the popular Towing Icebergs, Falling Dominoes (Princeton, 1998), Banks presents another collection of puzzles for readers interested in sharpening their thinking and mathematical skills. The problems range from the wondrous to the eminently practical. In one chapter, the author helps us determine the total number of people who have lived on earth; in another, he shows how an understanding of mathematical curves can help a thrifty lover, armed with construction paper and scissors, keep expenses down on Valentine's Day. In twenty-six chapters, Banks chooses topics that are fairly easy to analyze using relatively simple mathematics. The phenomena he describes are ones that we encounter in our daily lives or can visualize without much trouble. For example, how do you get the most pizza slices with the least number of cuts? To go from point A to point B in a downpour of rain, should you walk slowly, jog moderately, or run as fast as possible to get least wet? What is the length of the seam on a baseball? If all the ice in the world melted, what would happen to Florida, the Mississippi River, and Niagara Falls? Why do snowflakes have six sides? Covering a broad range of fields, from geography and environmental studies to map- and flag-making, Banks uses basic algebra and geometry to solve problems. If famous scientists have also pondered these questions, the author shares the historical details with the reader. Designed to entertain and to stimulate thinking, this book can be read for sheer personal enjoyment.

Limits, Series, and Fractional Part Integrals

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Publisher : Springer Science & Business Media
ISBN 13 : 1461467624
Total Pages : 289 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Limits, Series, and Fractional Part Integrals by : Ovidiu Furdui

Download or read book Limits, Series, and Fractional Part Integrals written by Ovidiu Furdui and published by Springer Science & Business Media. This book was released on 2013-05-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.

Math for Programmers

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Publisher : Manning Publications
ISBN 13 : 1617295353
Total Pages : 686 pages
Book Rating : 4.6/5 (172 download)

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Book Synopsis Math for Programmers by : Paul Orland

Download or read book Math for Programmers written by Paul Orland and published by Manning Publications. This book was released on 2021-01-12 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks

High-Dimensional Probability

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Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Balance Benders Level 2

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Publisher :
ISBN 13 : 9781601442277
Total Pages : 48 pages
Book Rating : 4.4/5 (422 download)

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Book Synopsis Balance Benders Level 2 by : Robert Femiano

Download or read book Balance Benders Level 2 written by Robert Femiano and published by . This book was released on 2011-08-31 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Limits, Limits Everywhere

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Publisher : Oxford University Press
ISBN 13 : 0199640084
Total Pages : 217 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Limits, Limits Everywhere by : David Applebaum

Download or read book Limits, Limits Everywhere written by David Applebaum and published by Oxford University Press. This book was released on 2012-03 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: An account of elementary real analysis positioned between a popular mathematics book and a first year college or university text. This book doesn't assume knowledge of calculus and, instead, the emphasis is on the application of analysis to number theory.

A First Course in Fourier Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1139469037
Total Pages : 39 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis A First Course in Fourier Analysis by : David W. Kammler

Download or read book A First Course in Fourier Analysis written by David W. Kammler and published by Cambridge University Press. This book was released on 2008-01-17 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

Mathematica DeMYSTiFied

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Publisher : McGraw Hill Professional
ISBN 13 : 0071591451
Total Pages : 406 pages
Book Rating : 4.0/5 (715 download)

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Book Synopsis Mathematica DeMYSTiFied by : Jim Hoste

Download or read book Mathematica DeMYSTiFied written by Jim Hoste and published by McGraw Hill Professional. This book was released on 2008-12-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Need to learn MATHEMATICA? Problem SOLVED! Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals. Using an intuitive format, this book explains the fundamentals of Mathematica up front. Learn how to define functions, create 2-D graphs of functions, write basic programs, and use modules. You'll move on to 3-D graphics, calculus, polynomial, linear, and differential equations, dynamical systems, and fractals. Hundreds of examples with concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. This self-teaching guide offers: A quick way to get up and running on Mathematica Coverage of Mathematica 6 and 7 Tips for avoiding and correcting syntax errors Details on creating slideshow presentations of your work No unnecessary technical jargon A time-saving approach to performing better on an exam or at work! Simple enough for a beginner, but challenging enough for an advanced user, Mathematica Demystified is your shortcut to mastering this fully integrated technical computing software.

Introduction to Mathematical Analysis

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Introduction to Mathematical Analysis by :

Download or read book Introduction to Mathematical Analysis written by and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: