{"product_id":"an-introduction-to-higher-mathematics-2-volume-set-9781107020016","title":"An Introduction to Higher Mathematics 2 Volume Set () 9781107020016","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Higher Mathematics 2 Volume Set\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA wide-ranging reference text for university mathematics from one of the most eminent Chinese mathematicians of the twentieth century.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eLoo-Keng Hua (Author), Peter Shiu (Translated by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107020016, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e, published 3 May 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e900 pages\u003cbr\u003e25.3 x 17.8 x 7.5 cm, 3.22 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe self-taught mathematician Hua Loo-Keng (1910–1985) has been credited with inspiring generations of mathematicians, while his papers on number theory are regarded as some of the most significant contributions made to the subject during the first half of the twentieth century. An Introduction to Higher Mathematics is based on the lectures given by Hua at the University of Science and Technology of China from 1958. The course reflects Hua's instinctive technique, using the simplest tools to tackle even the most difficult problems, and contains both pure and applied mathematics, emphasising the interdependent relationships between different branches of the discipline. With hundreds of diagrams, examples and exercises, this is a wide-ranging reference text for university mathematics and a testament to the teaching of one of the most eminent mathematicians of his generation.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eVolume I: 1. Real and complex numbers\u003cbr\u003e 2. Vector algebra\u003cbr\u003e 3. Functions and graphs\u003cbr\u003e 4. Limits\u003cbr\u003e 5. The differential calculus\u003cbr\u003e 6. Applications of the derivative\u003cbr\u003e 7. Taylor expansions\u003cbr\u003e 8. Approximate solutions to equations\u003cbr\u003e 9. Indefinite integrals\u003cbr\u003e 10. Definite integrals\u003cbr\u003e 11. Applications of integral calculus\u003cbr\u003e 12. Functions of several variables\u003cbr\u003e 13. Sequences, series and integrals with variables\u003cbr\u003e 14. Differential properties of curves\u003cbr\u003e 15. Multiple integral\u003cbr\u003e 16. Curvilinear integral and surface integral\u003cbr\u003e 17. Scalar field and vector field\u003cbr\u003e 18. Differential properties of curved surfaces\u003cbr\u003e 19. Fourier series\u003cbr\u003e 20. System of ordinary differential equations.  Volume II: 1. Geometry of the complex plane\u003cbr\u003e 2. Non-Euclidean geometry\u003cbr\u003e 3. Definitions and examples of analytic and harmonic functions\u003cbr\u003e 4. Harmonic functions\u003cbr\u003e 5. Some basic concepts in point set theory and topology\u003cbr\u003e 6. Analytic functions\u003cbr\u003e 7. Residues and their application to definite integral\u003cbr\u003e 8. Maximum modulus principle and the family of functions\u003cbr\u003e 9. Entire function and meromorphic function\u003cbr\u003e 10. Conformal transformation\u003cbr\u003e 11. Summation\u003cbr\u003e 12. Harmonic functions under various boundary conditions\u003cbr\u003e 13. Weierstrass' elliptic function theory\u003cbr\u003e 14. Jacobi's elliptic functions\u003cbr\u003e 15. Systems of linear equations and determinants (review outline)\u003cbr\u003e 16. Equivalence of matrices\u003cbr\u003e 17. Functions, sequences and series of square matrices\u003cbr\u003e 18. Difference equations with constant coefficients and ordinary differential equations\u003cbr\u003e 19. Asymptotic property of solutions\u003cbr\u003e 20. Quadratic form\u003cbr\u003e 21. Orthogonal groups and pair of quadratic forms\u003cbr\u003e 22. Volumes\u003cbr\u003e 23. Non-negative square matrices.  Volume III: 1. The geometry of the complex plane\u003cbr\u003e 2. Non-Euclidean geometry\u003cbr\u003e 3. Definitions and examples of analytic functions and harmonic functions\u003cbr\u003e 4. Harmonic functions\u003cbr\u003e 5. Point set theory and preparations for topology\u003cbr\u003e 6. Analytic functions\u003cbr\u003e 7. The residue and its application to evaluation of definite integrals\u003cbr\u003e 8. Maximum modulus theorem and families of functions\u003cbr\u003e 9. Integral functions and metamorphic functions\u003cbr\u003e 10. Conformal transformations\u003cbr\u003e 11. Summability methods\u003cbr\u003e 12. Harmonic functions satisfying various types of boundary conditions\u003cbr\u003e 13. Weierstrass elliptic function theory\u003cbr\u003e 14. Jacobian elliptic function theory.  Volume IV: 1. Linear systems and determinants (review)\u003cbr\u003e 2. Equivalence of matrices\u003cbr\u003e 3. Functions, sequences and series of square matrices\u003cbr\u003e 4. Difference and differential equations with constant coefficients\u003cbr\u003e 5. Asymptotic properties of solutions\u003cbr\u003e 6. Quadratic forms\u003cbr\u003e 7. Orthogonal groups corresponding to quadratic forms\u003cbr\u003e 8. Volumes\u003cbr\u003e 9. Non-negative square matrices.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005348630808,"sku":"9781107020016","price":153.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107020016i_13310332-84d4-4137-8636-6a885fd25260.jpg?v=1691361092","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-higher-mathematics-2-volume-set-9781107020016","provider":"Freshly Printed Books","version":"1.0","type":"link"}