{"product_id":"the-book-of-stochastic-integrals-and-stochastic-sums-9781119595496","title":"The Book of Stochastic Integrals and Stochastic Sums","description":"\u003cp\u003e • Author(s): Patrick Muldowney\u003cbr\u003e • Publisher: Wiley\u003cbr\u003e • Publisher Imprint: Wiley\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003cb\u003eGAUGE INTEGRAL STRUCTURES FOR STOCHASTIC CALCULUS AND QUANTUM ELECTRODYNAMICS\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003eA stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003ePicking up where his previous book, \u003ci\u003eA Modern Theory of Random Variation\u003c\/i\u003e, left off, \u003ci\u003eGauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics\u003c\/i\u003e introduces readers to particular problems of integration in the probability-like theory of quantum mechanics.\u003c\/p\u003e\u003cp\u003eWritten as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of \u003ci\u003eA Modern Theory of Random Variation\u003c\/i\u003e in order to be understandable.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eGauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics\u003c\/i\u003e takes a gradual, relaxed, and discursive approach to the subject in a successful attempt to engage the reader by exploring a narrower range of themes and problems.\u003c\/p\u003e\u003cp\u003eOrganized around examples with accompanying introductions and explanations, the book covers topics such as:*Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes*Field theory, including discussions of gauges for product spaces and quantum electrodynamics*Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within*An introduction to basic gauge integral theory (for those unfamiliar with the author’s previous book)\u003c\/p\u003e\u003cp\u003eThe methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable “Black Box” theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil, \u003ci\u003eGauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics\u003c\/i\u003e is an illuminating and insightful exploration of the complex mathematical topics contained within.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Hardcover","offer_id":45201797841047,"sku":"9781119595496","price":8141.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781119595496.webp?v=1769208053","url":"https:\/\/atlanticbooks.com\/products\/the-book-of-stochastic-integrals-and-stochastic-sums-9781119595496","provider":"Atlantic Books","version":"1.0","type":"link"}