A Gateway To Modern Mathematics Vol 1

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A Gateway To Modern Mathematics Vol-1

Author : Shailesh Shirali
Publisher :
ISBN 13 : 9788173716263
Total Pages : 0 pages
Book Rating : 4.7/5 (162 download)

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Book Synopsis A Gateway To Modern Mathematics Vol-1 by : Shailesh Shirali

Download or read book A Gateway To Modern Mathematics Vol-1 written by Shailesh Shirali and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Gateway to Modern Mathematics: Adventures in Iteration I is the first of a two-volume work on iterations in the RMS series Little Mathematical Treasures. The books in this series address senior secondary school students who are interested in exploring mathematics a little beyond what the school curriculum offers. Iterations is an exciting topic of study and should interest both the amateur as well as the professional. Many of the iterations in elementary mathematics offer scope for extended investigation. They are like a gateway to important themes of modern mathematics such as fractals and chaos and offer a route for experiencing the experimental and visually aesthetic side of mathematics. This book, which is at an elementary level, introduces the idea of iteration. It also explores various associated notions like fixed points, orbits, cycles, limit points, convergence, solution of equations and cobwebbing. It contains a large number of illustrative examples from the world of arithmetic, algebra and geometry. Students preparing for the mathematical Olympiads will benefit from a study of the book, and teachers who run mathematics clubs will find here a rich source of material.

Algebra and Analysis Gateway to Modern Technology (AAGMT-2013)

Author : K.S. Lakshmi
Publisher : Allied Publishers
ISBN 13 : 8184248350
Total Pages : 238 pages
Book Rating : 4.1/5 (842 download)

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Book Synopsis Algebra and Analysis Gateway to Modern Technology (AAGMT-2013) by : K.S. Lakshmi

Download or read book Algebra and Analysis Gateway to Modern Technology (AAGMT-2013) written by K.S. Lakshmi and published by Allied Publishers. This book was released on 2013-03-05 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: To commemorate the completion of 125 years of the great Mathematician Sri Srinivasa Ramanujan, which was also celebrated as National Mathematics Year, the Department organised a two-day National Seminar titled 'Algebra and Analysis—Gateway to Modern Technology' on 29th and 30th of January 2013. The seminar focused on the vital role of Algebra and Analysis in technological development and industry.

Gateway to the Great Books

Author : Encyclopaedia Britannica, Inc
Publisher : Encyclopaedia Britannica, Inc.
ISBN 13 : 1593392214
Total Pages : 5323 pages
Book Rating : 4.5/5 (933 download)

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Book Synopsis Gateway to the Great Books by : Encyclopaedia Britannica, Inc

Download or read book Gateway to the Great Books written by Encyclopaedia Britannica, Inc and published by Encyclopaedia Britannica, Inc.. This book was released on 1990-10-01 with total page 5323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gateway to the Great Books are great writings which selections include short stories, plays, essays, scientific papers, speeches, and letters. Each selection represents a primary, original, and fundamental contribution to ones understanding of the universe and themselves. There are over 135 Authors, 225 Selections and 95 original illustrations. Selections include works from Ernest Hemingway, F. Scott Fitzgerald, T. S Eliot, Mark Twain and more. This set will help introduce oneself to good literature and the Great Books of the Western World.

Analysis: A Gateway To Understanding Mathematics

Author : Dineen Sean
Publisher : World Scientific Publishing Company
ISBN 13 : 9814401404
Total Pages : 320 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Analysis: A Gateway To Understanding Mathematics by : Dineen Sean

Download or read book Analysis: A Gateway To Understanding Mathematics written by Dineen Sean and published by World Scientific Publishing Company. This book was released on 2012-05-04 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

Author : Kevin Broughan
Publisher : Cambridge University Press
ISBN 13 : 1108187021
Total Pages : 513 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents by : Kevin Broughan

Download or read book Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents written by Kevin Broughan and published by Cambridge University Press. This book was released on 2017-11-02 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

The Story Of Numbers

Author : Mallik Asok Kumar
Publisher : #N/A
ISBN 13 : 9813222948
Total Pages : 196 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis The Story Of Numbers by : Mallik Asok Kumar

Download or read book The Story Of Numbers written by Mallik Asok Kumar and published by #N/A. This book was released on 2017-07-27 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers. Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail. The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level. The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

Precalculus with Calculus Previews: Expanded Volume

Author : Dennis G. Zill
Publisher : Jones & Bartlett Publishers
ISBN 13 : 1449649807
Total Pages : 528 pages
Book Rating : 4.4/5 (496 download)

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Book Synopsis Precalculus with Calculus Previews: Expanded Volume by : Dennis G. Zill

Download or read book Precalculus with Calculus Previews: Expanded Volume written by Dennis G. Zill and published by Jones & Bartlett Publishers. This book was released on 2009-01-03 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.

Stochastic Models, Information Theory, and Lie Groups, Volume 2

Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
ISBN 13 : 0817649433
Total Pages : 460 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stochastic Models, Information Theory, and Lie Groups, Volume 2 by : Gregory S. Chirikjian

Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 2 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2011-11-15 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

A Gateway to Number Theory: Applying the Power of Algebraic Curves

Author : Keith Kendig
Publisher : American Mathematical Soc.
ISBN 13 : 1470456222
Total Pages : 207 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Gateway to Number Theory: Applying the Power of Algebraic Curves by : Keith Kendig

Download or read book A Gateway to Number Theory: Applying the Power of Algebraic Curves written by Keith Kendig and published by American Mathematical Soc.. This book was released on 2021-04-23 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenge: Can you find all the integers a, b, c satisfying 2a2+3b2=5c2? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! There are infinitely many possibilities, and as any computer will tell you, each of a, b, c will usually be large. So the challenge remains … Find all integers a a, b, c satisfying 2a2+3b2=5c2 A major advance in number theory means this book can give an easy answer to this and countless similar questions. The idea behind the approach is transforming a degree-two equation in integer variables a, b, c into a plane curve defined by a polynomial. Working with the curve makes obtaining solutions far easier, and the geometric solutions then get translated back into integers. This method morphs hard problems into routine ones and typically requires no more than high school math. (The complete solution to 2a2+3b2=5c2 is included in the book.) In addition to equations of degree two, the book addresses degree-three equations—a branch of number theory that is today something of a cottage industry, and these problems translate into “elliptic curves”. This important part of the book includes many pictures along with the exposition, making the material meaningful and easy to grasp. This book will fit nicely into an introductory course on number theory. In addition, the many solved examples, illustrations, and exercises make self-studying the book an option for students, thus becoming a natural candidate for a capstone course.

The Joy of Finite Mathematics

Author : Chris P. Tsokos
Publisher : Academic Press
ISBN 13 : 0128029854
Total Pages : 554 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis The Joy of Finite Mathematics by : Chris P. Tsokos

Download or read book The Joy of Finite Mathematics written by Chris P. Tsokos and published by Academic Press. This book was released on 2015-10-27 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors’ experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida’s CLAST exam or similar core requirements. Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice test Contains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. exam Optional advanced sections and challenging problems are included for use at the discretion of the instructor Online resources include PowerPoint Presentations for instructors and a useful student manual

Science By Simulation - Volume 1: A Mezze Of Mathematical Models

Author : Andrew French
Publisher : World Scientific
ISBN 13 : 1800611099
Total Pages : 276 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Science By Simulation - Volume 1: A Mezze Of Mathematical Models by : Andrew French

Download or read book Science By Simulation - Volume 1: A Mezze Of Mathematical Models written by Andrew French and published by World Scientific. This book was released on 2022-05-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mezze of Mathematical Methods is Volume 1 of Science by Simulation. It is a recipe book of mathematical models that can be enlivened by the transmutation of equations into computer code. In this volume, the examples chosen are an eclectic mix of systems and stories rooted in common experience, rather than those normally associated with constrained courses on Physics, Chemistry or Biology which are taught in isolation and susceptible to going out of date in a few years. Rather than a 'what' of Science, this book is aimed at the 'how', readily applied to projects by students and professionals. Written in a friendly style based upon the author's expertise in teaching and pedagogy, this mathematically rigorous book is designed for readers to follow arguments step-by-step with stand-alone chapters which can be read independently. This approach will provide a tangible and readily accessible context for the development of a wide range of interconnected mathematical ideas and computing methods that underpin the practice of Science.

Intelligent Computer Mathematics

Author : Serge Autexier
Publisher : Springer
ISBN 13 : 3540851100
Total Pages : 602 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Intelligent Computer Mathematics by : Serge Autexier

Download or read book Intelligent Computer Mathematics written by Serge Autexier and published by Springer. This book was released on 2008-07-27 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 9th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2008, the 15th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2008, and the 7th International Conference on Mathematical Knowledge Management, MKM 2008, held in Birmingham, UK, in July/August as CICM 2008, the Conferences on Intelligent Computer Mathematics. The 14 revised full papers for AISC 2008, 10 revised full papers for Calculemus 2008, and 18 revised full papers for MKM 2008, plus 5 invited talks, were carefully reviewed and selected from a total of 81 submissions for a joint presentation in the book. The papers cover different aspects of traditional branches in CS such as computer algebra, theorem proving, and artificial intelligence in general, as well as newly emerging ones such as user interfaces, knowledge management, and theory exploration, thus facilitating the development of integrated mechanized mathematical assistants that will be routinely used by mathematicians, computer scientists, and engineers in their every-day business.

Modern Mathematics 5

Author : John Bernard Fitzpatrick
Publisher :
ISBN 13 : 9780701612443
Total Pages : 326 pages
Book Rating : 4.6/5 (124 download)

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Book Synopsis Modern Mathematics 5 by : John Bernard Fitzpatrick

Download or read book Modern Mathematics 5 written by John Bernard Fitzpatrick and published by . This book was released on 1979 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Mathematical Prelude to the Philosophy of Mathematics

Author : Stephen Pollard
Publisher : Springer
ISBN 13 : 3319058169
Total Pages : 202 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis A Mathematical Prelude to the Philosophy of Mathematics by : Stephen Pollard

Download or read book A Mathematical Prelude to the Philosophy of Mathematics written by Stephen Pollard and published by Springer. This book was released on 2014-05-12 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in philosophy of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Gödel's theorems, interpretability, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.

Collected Papers. Volume V

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 159973317X
Total Pages : 336 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Collected Papers. Volume V by : Florentin Smarandache

Download or read book Collected Papers. Volume V written by Florentin Smarandache and published by Infinite Study. This book was released on 2014-10-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volum includes 37 papers of mathematics or applied mathematics written by the author alone or in collaboration.They were written during the years 2010-2014, about the hyperbolic Menelaus theorem in the Poincare disc of hyperbolic geometry, and the Menelaus theorem for quadrilaterals inhyperbolic geometry, about some properties of the harmonic quadrilateral related to triangle simedians and to Apollonius circles, etc.

Complex Analysis for Mathematics and Engineering

Author : John Mathews
Publisher : Jones & Bartlett Publishers
ISBN 13 : 1449604455
Total Pages : 663 pages
Book Rating : 4.4/5 (496 download)

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Book Synopsis Complex Analysis for Mathematics and Engineering by : John Mathews

Download or read book Complex Analysis for Mathematics and Engineering written by John Mathews and published by Jones & Bartlett Publishers. This book was released on 2012 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online.

Mathematical Modeling for the Scientific Method

Author : David Pravica
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763779466
Total Pages : 521 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Mathematical Modeling for the Scientific Method by : David Pravica

Download or read book Mathematical Modeling for the Scientific Method written by David Pravica and published by Jones & Bartlett Learning. This book was released on 2011-08-24 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the International Series in Mathematics Mathematical Modeling for the Scientific Method is intended for the sophomore/junior-level student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/or medicine. It clarifies the connection between deductive and inductive reasoning as used in Mathematics and Science and urges students to think critically about concepts and applications. The authors’ goal is to be introductory in level while covering a broad range of techniques. They unite topics in statistics, linear algebra, calculus and differential equations, while discussing how these subjects are interrelated and utilized. Mathematical Modeling for the Scientific Method leaves students with a clearer perspective of the role of mathematics within the sciences and the understanding of how to rationally work through even rigorous applications with ease.