Mathematics: A Concise History and Philosophy

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Publisher : Springer Science & Business Media
ISBN 13 : 1461208750
Total Pages : 253 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics: A Concise History and Philosophy by : W.S. Anglin

Download or read book Mathematics: A Concise History and Philosophy written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.

A Concise Introduction to Pure Mathematics

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Publisher : CRC Press
ISBN 13 : 1315360713
Total Pages : 235 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis A Concise Introduction to Pure Mathematics by : Martin Liebeck

Download or read book A Concise Introduction to Pure Mathematics written by Martin Liebeck and published by CRC Press. This book was released on 2018-09-03 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.

Mathematical Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 9780470226766
Total Pages : 584 pages
Book Rating : 4.2/5 (267 download)

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Book Synopsis Mathematical Analysis by : Bernd S. W. Schröder

Download or read book Mathematical Analysis written by Bernd S. W. Schröder and published by John Wiley & Sons. This book was released on 2008-01-28 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis. Mathematical Analysis is composed of three parts: ?Part One presents the analysis of functions of one variable, including sequences, continuity, differentiation, Riemann integration, series, and the Lebesgue integral. A detailed explanation of proof writing is provided with specific attention devoted to standard proof techniques. To facilitate an efficient transition to more abstract settings, the results for single variable functions are proved using methods that translate to metric spaces. ?Part Two explores the more abstract counterparts of the concepts outlined earlier in the text. The reader is introduced to the fundamental spaces of analysis, including Lp spaces, and the book successfully details how appropriate definitions of integration, continuity, and differentiation lead to a powerful and widely applicable foundation for further study of applied mathematics. The interrelation between measure theory, topology, and differentiation is then examined in the proof of the Multidimensional Substitution Formula. Further areas of coverage in this section include manifolds, Stokes' Theorem, Hilbert spaces, the convergence of Fourier series, and Riesz' Representation Theorem. ?Part Three provides an overview of the motivations for analysis as well as its applications in various subjects. A special focus on ordinary and partial differential equations presents some theoretical and practical challenges that exist in these areas. Topical coverage includes Navier-Stokes equations and the finite element method. Mathematical Analysis: A Concise Introduction includes an extensive index and over 900 exercises ranging in level of difficulty, from conceptual questions and adaptations of proofs to proofs with and without hints. These opportunities for reinforcement, along with the overall concise and well-organized treatment of analysis, make this book essential for readers in upper-undergraduate or beginning graduate mathematics courses who would like to build a solid foundation in analysis for further work in all analysis-based branches of mathematics.

A Concise Course in Algebraic Topology

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Publisher : University of Chicago Press
ISBN 13 : 9780226511832
Total Pages : 262 pages
Book Rating : 4.5/5 (118 download)

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Book Synopsis A Concise Course in Algebraic Topology by : J. P. May

Download or read book A Concise Course in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1999-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486143643
Total Pages : 226 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Differential Equations by : H. S. Bear

Download or read book Differential Equations written by H. S. Bear and published by Courier Corporation. This book was released on 2013-10-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.

The VNR Concise Encyclopedia of Mathematics

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Publisher :
ISBN 13 : 9781468482386
Total Pages : 820 pages
Book Rating : 4.4/5 (823 download)

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Book Synopsis The VNR Concise Encyclopedia of Mathematics by : W. Gellert

Download or read book The VNR Concise Encyclopedia of Mathematics written by W. Gellert and published by . This book was released on 2014-09-01 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concise Introduction to Logic and Set Theory

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Publisher : CRC Press
ISBN 13 : 0429665989
Total Pages : 171 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Concise Introduction to Logic and Set Theory by : Iqbal H. Jebril

Download or read book Concise Introduction to Logic and Set Theory written by Iqbal H. Jebril and published by CRC Press. This book was released on 2021-09-30 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.

Concise Handbook of Mathematics and Physics

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Publisher : CRC Press
ISBN 13 : 1000122824
Total Pages : 521 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Concise Handbook of Mathematics and Physics by : Alexander G. Alenitsyn

Download or read book Concise Handbook of Mathematics and Physics written by Alexander G. Alenitsyn and published by CRC Press. This book was released on 2020-12-17 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise Handbook of Mathematics and Physics presents a unified and coherent treatment of all the major aspects of modern elementary physics and mathematics. This complete text/reference includes definitions of fundamental notations and physical and mathematical quantities, formulas that express the laws of physics, axioms and theorems of mathematics, and more. The information is organized logically (instead of alphabetically) for better comprehension and quick, convenient access. The book contains extensive cross-referencing between the mathematical and physical sections. reflecting the considerable overlap between these two areas of study and increasing the usefulness of this handbook. Fundamental concepts, theorems, and laws are demonstrated through numerous practical examples and tasks to help build problem-solving skills.

Logic and Discrete Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1119000106
Total Pages : 195 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Logic and Discrete Mathematics by : Willem Conradie

Download or read book Logic and Discrete Mathematics written by Willem Conradie and published by John Wiley & Sons. This book was released on 2015-05-08 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.

Intuitive calculations; the readiest and most concise methods

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Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.R/5 (5 download)

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Book Synopsis Intuitive calculations; the readiest and most concise methods by : Daniel O'Gorman

Download or read book Intuitive calculations; the readiest and most concise methods written by Daniel O'Gorman and published by . This book was released on 1885 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Measure Theory

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Publisher : Springer
ISBN 13 : 3642620108
Total Pages : 694 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Geometric Measure Theory by : Herbert Federer

Download or read book Geometric Measure Theory written by Herbert Federer and published by Springer. This book was released on 2014-11-25 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)

The Mathematical Monthly

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Publisher :
ISBN 13 :
Total Pages : 1266 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Mathematical Monthly by :

Download or read book The Mathematical Monthly written by and published by . This book was released on 1859 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistics

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Publisher : John Wiley & Sons
ISBN 13 : 1119675847
Total Pages : 180 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Statistics by : David W. Scott

Download or read book Statistics written by David W. Scott and published by John Wiley & Sons. This book was released on 2020-07-13 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistic: A Concise Mathematical Introduction for Students and Scientists offers a one academic term text that prepares the student to broaden their skills in statistics, probability and inference, prior to selecting their follow-on courses in their chosen fields, whether it be engineering, computer science, programming, data sciences, business or economics. The book places focus early on continuous measurements, as well as discrete random variables. By invoking simple and intuitive models and geometric probability, discrete and continuous experiments and probabilities are discussed throughout the book in a natural way. Classical probability, random variables, and inference are discussed, as well as material on understanding data and topics of special interest. Topics discussed include: • Classical equally likely outcomes • Variety of models of discrete and continuous probability laws • Likelihood function and ratio • Inference • Bayesian statistics With the growth in the volume of data generated in many disciplines that is enabling the growth in data science, companies now demand statistically literate scientists and this textbook is the answer, suited for undergraduates studying science or engineering, be it computer science, economics, life sciences, environmental, business, amongst many others. Basic knowledge of bivariate calculus, R language, Matematica and JMP is useful, however there is an accompanying website including sample R and Mathematica code to help instructors and students.

Short-Cut Math

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Publisher : Courier Corporation
ISBN 13 : 0486131521
Total Pages : 127 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Short-Cut Math by : Gerard W. Kelly

Download or read book Short-Cut Math written by Gerard W. Kelly and published by Courier Corporation. This book was released on 2014-11-18 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, concise compendium of about 150 time-saving math short-cuts features faster, easier ways to add, subtract, multiply, and divide. Each problem includes an explanation of the method. No special math ability needed.

The Mathematical Monthly

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Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Mathematical Monthly by : John Daniel Runkle

Download or read book The Mathematical Monthly written by John Daniel Runkle and published by . This book was released on 1861 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227.

Appletons' Cyclopaedia of American Biography

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Publisher :
ISBN 13 :
Total Pages : 818 pages
Book Rating : 4.M/5 ( download)

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Book Synopsis Appletons' Cyclopaedia of American Biography by : James Grant Wilson

Download or read book Appletons' Cyclopaedia of American Biography written by James Grant Wilson and published by . This book was released on 1888 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cyclopædia of American Biography

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Publisher :
ISBN 13 :
Total Pages : 1094 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis The Cyclopædia of American Biography by : James Grant Wilson

Download or read book The Cyclopædia of American Biography written by James Grant Wilson and published by . This book was released on 1915 with total page 1094 pages. Available in PDF, EPUB and Kindle. Book excerpt: