Paperback (ISBN-13: 9780521172226)
Page extent: 76 pages
Size: 229 x 152 mm
The first edition of Hardy’s Integration of Functions of a Single Variable was published in 1905, with this 1916 second edition being reprinted up until 1966. Now this digital reprint of the second edition will allow the twenty-first-century reader a fresh exploration of the text. Hardy’s chapters provide a comprehensive review of elementary functions and their integration, the integration of algebraic functions and Laplace’s principle, and the integration of transcendental functions. The text is also saturated with explanatory notes and usable examples centred around the elementary problem of indefinite integration and its solutions. Appendices contain useful bibliographic references and a workable demonstration of Abel’s proof, rewritten specifically for the second edition. This innovative tract will continue to be of interest to all mathematicians specialising in the theory of integration and its historical development.
1. Introduction; 2. Elementary functions and their classification; 3. The integration of elementary functions: summary of results; 4. The integration of rational functions; 5. The integration of algebraical functions; 6. The integration of transcendental functions; Appendices.
Series: Mathematical Sciences Research Institute Publications (No. 41)
Page extent: 481 pages
Size: 234 x 156 mm
Paperback (ISBN-13: 9780521174572)
This 2003 book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on presenting developments, avoiding classical aspects which have already been described at length in the standard literature. The volume grew from the special semester held at the MSRI in Berkeley in 1999 and many of the results are due to work accomplished during that program. Among the subjects covered are elliptic surfaces, Grothendieck’s anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic. Although the articles contain fresh results, the authors have striven to make them as introductory as possible, making them accessible to graduate students as well as researchers in algebraic geometry and number theory. The volume also contains a lengthy overview by Leila Schneps that sets the individual articles into the broader context of contemporary research in Galois groups.
* Introduction contains overview of developments and fresh aspects of the
subject * Contains articles which are aimed at both introducing and presenting
a theme, and proving original results * Expository articles by well-known
authors
1. Monodromy of elliptic surfaces; 2. Topics surrounding the anabelian geometry of hyperbolic curve; 3. Tannakian fundamental groups associated to Galois groups; 4. Automorphisms of curves and special loci in genus zero moduli spaces; 5. On the tame fundamental groups of curves over algebraically closed fields of characteristic 0; 6. Constructive differential Galois theory; 7. Monodromy groups of coverings of curves; 8. On the specialization homomorphism of fundamental groups of curves in positive characteristic.
This book presents a systematic, rigorous and comprehensive account of the theory and applications of incomplete block designs. An attempt has been made to cover all major aspects of incomplete block designs by consolidating vast amounts of material from the literature. The classical incomplete block designs, like the balanced incomplete block (BIB) designs and partially balanced incomplete block (PBIB) designs are covered at length. Some other developments like efficiency-balanced designs, nested designs, robust designs, C-designs and Alpha designs are also discussed. More recent developments in incomplete block designs for special types of experiments, like biological assays, test-control experiments and diallel crosses, which are generally not covered in the existing books, are given adequate coverage. Results on the optimality aspects of various incomplete block designs are reviewed in a separate chapter, which includes major results on optimal block designs as also many recent results on the optimality of incomplete block designs for test-control comparisons, parallel line assays and diallel cross experiments.
Numerous examples illustrating the results are included and there are a number of exercises at the end of each of the chapters. There is also a fairly exhaustive bibliography. The book meets the requirements of the students at the master´s level in statistics and there are some portions of the book which may be found useful for research students and consulting statisticians.
1. Introduction 2. Analysis and Properties of Block Designs 3. Balanced Designs 4. Partially Balanced Designs 5. More Incomplete Block Designs 6. Optimality Aspects of Block Designs
Appendix:
A.1 Some Results in Linear Algebra A.2 Some Aspects of Linear Models A.3 Finite Fields A.4 Finite Geometries References
Index
Texts and Readings in Mathematics/ 57
2010,288 pages,Hardcover,ISBN 978-93-80250-04-5
ISBN: 978-0-470-52548-7
Paperback
736 pages
September 2010
The updated new edition of the classic and comprehensive guide to the history of mathematics
For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincare Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs.
Distills thousands of years of mathematics into a single, approachable volume
Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present
Includes up-to-date references and an extensive chronological table of mathematical and general historical developments.
Whether you're interested in the age of Plato and Aristotle or Poincare and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
ISBN: 978-0-470-49636-7
Hardcover
536 pages
September 2010
This book successfully blends algebra and number theory as an integrated discipline and consists of seven parts: Part 1 discusses the elements of set theory; Parts 2 and 3 address number systems; Parts 4 and 5 cover the main topics of linear algebra; Part 6 develops the main ideas of algebraic structures; and Part 7 demonstrates the applications of algebraic ideas to number theory. Based on the experience of the authors, this book was developed for one course that integrates three disciplines - linear algebra, abstract algebra, and number theory - in an effort to use time more efficiently. Many theorems in number theory have very simple proofs using algebraic tools, and most importantly, the book's integrated approach helps to build a deeper understanding of the subject for readers as well as improve their retention of knowledge. Applications are provided at the end of each chapter to further explain the results found in the book, and exercises are also ample throughout. While the book is mathematically self-contained, readers should be comfortable with mathematical formalism and have some experience in reading and writing mathematical proofs.