Mathematics in India

Kim Plofker, "Mathematics in India"
Princeton University Press | 2008 | ISBN: 0691120676, 1400834074 | 384 pages | PDF | 2,4 MB

Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning.

Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition.

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The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao, "The Legacy of Alladi Ramakrishnan in the Mathematical Sciences"
Springer | 2010 | ISBN: 144196262X | 564 pages | PDF | 8 MB

This volume begins with a description of Alladi Ramakrishnan's remarkable scientific career and his grand vision that led to the creation of The Institute of Mathematical Sciences (MATSCIENCE), in Madras (now Chennai), India, in 1962. The lists of his research publications, his PhD students, and other relevant facts relating to his eventful career are included. The inclusion of both research and survey articles by leading mathematicians, statisticians, and physicists who got to know Alladi Ramakrishnan over the years and admired his significant contributions to research and to the scientific profession, have been written and dedicated in this volume to Ramakrishnan's memory.

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Mathematics for Electrical Engineering and Computing

Mary P Attenborough, "Mathematics for Electrical Engineering and Computing"
Newnes | 2003 | ISBN: 075065855X | 576 pages | PDF | 7,6 MB

Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous systems - particularly vital for Digital Signal Processing (DSP). In addition, as most modern engineers are required to study software, material suitable for Software Engineering - set theory, predicate and prepositional calculus, language and graph theory - is fully integrated into the book.

Excessive technical detail and language are avoided, recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts. Emphasis is given to an appreciation of the fundamental concepts behind the mathematics, for problem solving and undertaking critical analysis of results, whether using a calculator or a computer.

The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice, ensuring that all mathematical theory introduced is directly relevant to real-world engineering. The book includes introductions to advanced topics such as Fourier analysis, vector calculus and random processes, also making this a suitable introductory text for second year undergraduates of electrical, electronic and computer engineering, undertaking engineering mathematics courses.

The book is supported with a number of free online resources. On the companion website readers will find:
* over 60 pages of "Background Mathematics" reinforcing introductory material for revision purposes in advance of your first year course
* plotXpose software (for equation solving, and drawing graphs of simple functions, their derivatives, integrals and Fourier transforms)
* problems and projects (linking directly to the software)

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Schaum's Outline of Statistics

Schaum's Outline of Statistics
Publisher: McGraw-Hill | pages: 577 | 2007 | ISBN: 0071485848 | PDF | 4 Mb

Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's Outlines let you study at your own pace and remind you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.

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How to Solve Word Problems in Algebra

How to Solve Word Problems in Algebra
Publisher: McGraw-Hill | pages: 196 | 2000 | ISBN: 0071343075 | CHM | 10,8 mb

This popular study guide shows students easy ways to solve what they struggle with most in algebra: word problems. How to Solve Word Problems in Algebra, Second Edition, is ideal for anyone who wants to master these skills. Completely updated, with contemporary language and examples, features solution methods that are easy to learn and remember, plus a self-test.

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Teach Yourself VISUALLY Algebra

Teach Yourself VISUALLY Algebra
Publisher: Visual | ISBN: 0470185597 | edition 2008 | PDF | 304 pages | 10,2 mb

Algebra may seem intimidating?but it doesn't have to be. With Teach Yourself VISUALLY Algebra, you can learn algebra in a fraction of the time and without ever losing your cool. This visual guide takes advantage of color and illustrations to factor out confusion and helps you easily master the subject. You'll review the various properties of numbers, as well as how to use powers and exponents, fractions, decimals and percentages, and square and cube roots. Each chapter concludes with exercises to reinforce your skills.

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Schaum's Outline of Theory and Problems of Probability

Schaum's Outline of Theory and Problems of Probability
Publisher: McGraw-Hill | pages: 311 | 2000 | ISBN: 0071352031 | PDF | 10,2 mb

Schaum's Outline of Probability, Second Edition, focuses on non-calculus probability theory, making it ideal for humanities and science majors who study practical statistics for problem solving. This popular Schaum's study guide provides new material on descriptive statistics, hi-square distribution, and more.

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Schaum's Outline of Statistics

Schaum's Outline of Statistics
Publisher: McGraw-Hill | pages: 577 | 2007 | ISBN: 0071485848 | PDF | 10,9 mb

Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's Outlines let you study at your own pace and remind you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.

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Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists
Publisher: Chapman & Hall/CRC | ISBN: 1584885025 | edition 2006 | PDF | 1543 pages | 10,3 mb

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

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Schaum's Outline of Probability and Statistics, 3/E

Schaum's Outline of Probability and Statistics, 3/E
Publisher: McGraw-Hill | pages: 432 | 2008 | ISBN: 0071544259 | PDF | 11 mb

This theme is continued in the third edition in which the book has been reformatted and a chapter on Bayesian methods has been added. In recent years, the Bayesian paradigm has come to enjoy increased popularity and impact in such areas as economics, environmental science, medicine, and finance. Since Bayesian statistical analysis is highly computational, it is gaining even wider acceptance with advances in computer technology. We feel that an introduction to the basic principles of Bayesian data analysis is therefore in order and is consistent with Professor Murray R. Spiegel’s main purpose in writing the original text—to present a modern introduction to probability and statistics using a background of calculus.

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Fundamentals of Geometry

Fundamentals of Geometry
Publisher: Oleg A. Belyaev | ISBN: N\A | edition 2007 | PDF | 256 pages | 19 mb

Following Hilbert, in our treatment of neutral geometry (called also absolute geometry and composed of facts true in both Euclidean and Lobachevskian geometries) we define points, lines, and planes as mathematical objects with the property that these objects, as well as some objects formed from them, like angles and triangles, satisfy the axioms listed in sections 1 through 4 of this chapter. We shall denote points, lines and planes by capital Latin A,B,C, . . .,
small Latin a, b, c, . . ., and small Greek α, β, γ, . . . letters respectively, possibly with subscripts...

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Maran Illustrated Effortless Algebra

 

Maran Illustrated Effortless Algebra
Publisher: Course Technology PTR | ISBN: 1592009425 | edition 2005 | PDF | 320 pages | 54,2 mb

Produced by the award-winning maranGraphics Group, "Maran Illustrated Effortless Algebra" is a valuable resource to a wide range of readers—from people first being introduced to algebra to those studying for their SATs or GEDs. "Maran Illustrated Effortless Algebra" shows the reader the best way to perform each task, while the full-color examples and clear, step-by-step instructions walk the reader through each task from beginning to end. Thorough topic introductions and useful tips provide additional information and exercises to help enhance the readers’ algebra experience. Maran Illustrated Effortless Algebra is packed with essential information for those who are learning algebra for the first time, and will provide more experienced readers with a refresher course on the basics and the opportunity to gain more advanced skills. Maran Illustrated Effortless Algebra will cost less than the price of one private tutoring session, and will provide years of valuable reference.

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Schaum's Outline of Beginning Finite Mathematics

Schaum's Outline of Beginning Finite Mathematics
Publisher: McGraw-Hill | ISBN: 0071388974 | edition 2004 | PDF | 368 pages | 11 mb

This real-world, application-oriented outline introduces non-math majors to: linear equations and linear growth; exponential functions and geometric growth; sets; and counting. Following this material are applications using the formulas derived in topics such as: descriptive statistics; basic probability theory; graphs and networks; voting systems and apportionment; interest calculation; and systems of linear equations and games theory.

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Schaum's Differential Geometry

Martin Lipschutz: "Schaum's Outline of Differential Geometry"
McGraw-Hill | English | Jun 1 1969 | ISBN: 0070379858 | 277 pages | PDF | 26 MB

Confusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

Table of Contents:
1. Vectors.
2. Vector Functions of Real Variable.
3. Concept of Curve.
4. Curvature and Torsion.
5. Theory of Curves.
6. Elementary Topology in Euclidean Spaces.
7. Vector Functions of Vector Variable.
8. Concept of Curve.
9. First and Second Fundamental Forms.
10. Theory of Surfaces.Tensor Analysis.
11. Intrinsic Geometry.

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Schaum's Outline of Theory and Problems of Differential and Integral Calculus

Frank Ayres, Elliott Mendelson, "Schaum's Outline of Theory and Problems of Differential and Integral Calculus"
Mcgraw-Hill; 3 ed | 1990 | ISBN: 0070026629 | 484 pages | PDF | 15,5 MB

A revised, updated edition of this classic Schaum's Outline which has sold approximately 1,100,000 copies since 1968. The book is completely modernized both in terms of mathematical content and language. Lists of formulas for derivatives and integrals have definitions and explanations added for easier understanding and some material on analytic geometry has been added. There are over 1,000 solved problems and hundreds of supplementary problems.

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Mathematics for Engineers

 

George Fische, Gerard Hebuterne, "Mathematics for Engineers"
Wiley-ISTE | 2008 | ISBN: 1848210558 | 435 pages | PDF | 2,8 MB

This book offers comprehensive coverage of all the mathematical tools needed by engineers in the field of processing and transport of all forms of information, data and images - as well as many other engineering disciplines. It provides essential theories, equations and results in probability theory and statistics, which constitute the basis for the presentation of signal processing,information theory, traffic and queueing theory, and reliability. The mathematical foundations of simulation are
also covered.

The book's accessible style will enable students, engineers and researches new to this area to advance their knowledge of communication and other engineering technologies; however, it will also serve as a useful reference guide to anyone wishing to further explore this field.

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Introduction to the Theory of Analytic Spaces

Raghavan Narasimhan, "Introduction to the Theory of Analytic Spaces"
Springer | 1966 | ISBN: 3540036083 | 152 pages | PDF | 4,4 MB

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Differential Calculus

Shanti Narayan, "Differential Calculus"
Chand | 1962 | ISBN: 8121904714 | 408 pages | PDF | 16,1 MB

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Introduction to Methods of Applied Mathematics

Sean Mauch, "Introduction to Methods of Applied Mathematics"
Mauch Publishing Company | 2004 | ISBN: N/A | 2293 pages | PDF | 10,1 MB

Here’s Introduction to Methods of Applied Mathematics (alternately titled ‘Advanced Mathematical Methods for Scientists and Engineers’) by Sean Mauch at Caltech.

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Dictionary of Mathematics Terms, 3rd Edition (Barron's Professional Guides Series)

Douglas Downing "Dictionary of Mathematics Terms, 3rd Edition (Barron's Professional Guides Series)"
Barron's Educational Series, Inc. | English | 2009-08-01 | ISBN: 0764141392 | 408 pages | PDF | 1,5 MB

This quick-reference dictionary for math students, teachers, engineers, and statisticians defines more than 700 terms related to algebra, geometry, analytic geometry, trigonometry, probability, statistics, logic, and calculus. It also lists and defines mathematical symbols, includes a brief table of integrals, and describes how to derive key theorems. Filled with illustrative diagrams and equations.

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