Erik W. Grafarend “Linear And Nonlinear Models: Fixed Effects, Random Effects, And Mixed Models"
Walter de Gruyter | 2006 | ISBN:3110162164 | 752 pages | PDF | 4.4 Mb

This monograph contains a thorough treatment of methods for solving over- and underdetermined systems of equations, e.g. the minimum norm solution method with respect to weighted norms. The considered equations can be nonlinear or linear, and deterministic models as well as probabilistic ones are considered. An extensive appendix provides all necessary prerequisites like matrix algebra, matrix analysis and Lagrange multipliers, and a long list of references is also included.

Robert Watts “Essentials of Applied Mathematics for Scientists and Engineers"
Morgan and Claypool Publishers | ISBN: 1598291866 | PDF | 180 pages | 1,3 Mb

This is a book about linear partial differential equations that are common in engineering and the physical sciences. It will be useful to graduate students and advanced undergraduates in all engineering fields as well as students of physics, chemistry, geophysics and other physical sciences and professional engineers who wish to learn about how advanced mathematics can be used in their professions. The reader will learn about applications to heat transfer, fluid flow, and mechanical vibrations. The book is written in such a way that solution methods and application to physical problems are emphasized. There are many examples presented in detail and fully explained in their relation to the real world. References to suggested further reading are included. The topics that are covered include classical separation of variables and orthogonal functions, Laplace transforms, complex variables, and Sturm-Liouville transforms.

This significantly revised and expanded second edition of Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems

This book contains descriptions of various problems of the kind usually termed Mathematical Recreations and a few Essays on some analogous questions. Contents: Arithmetical Recreations; Geometrical Recreations; Mechanical Recreations; Chessboard Recreations; Magic Squares; Bees and Their Cells; Unicursal Problems; Kirkman's School-Girls Problem; Miscellaneous Problems; Calculating Prodigies; Cryptographs and Ciphers; String Figures; and Three Classical Geometrical Problems.

Handbook of Differential Equations

Vol.1-3

A. Canada, P. Drabek,& A. Fonda
North Holland | ISBN: 0444511318 | 2004 | Vol. 1- 3 | 578+630+736+ 752 pages | PDF | 16 MB

Stan Gibilisco, "Math Proofs Demystified"
Publisher: McGraw-Hill Professional | Pages: 290 | ISBN: 0071445765 | PDF | 1.3 MB

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... سؤالات مطرح شده در مرحله‌ی دوم المپیاد ریاضی ایران است که در طی سالهای 1376 تا 1386 برگزار شده است ...