Collected papers of Srinivasa Ramanujan

The influence of Ramanujan on number theory is without parallel in mathematics. His papers, problems and letters have spawned a remarkable number of later results by many different mathematicians. Here, his 37 published papers, most of his first two and last letters to Hardy, the famous 58 problems submitted to the Journal of the Indian Mathematical Society, and the commentary of the original editors (Hardy, Seshu Aiyar and Wilson) are reprinted again, after having been unavailable for some time. In this, the third printing of Ramanujan's collected papers, Bruce Berndt provides an annotated guide to Ramanujan's work and to the mathematics it inspired over the last three-quarters of a century. The historical development of ideas is traced in the commentary and by citations to the copious references. The editor has done the mathematical world a tremendous service that few others would be qualified to do.

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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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